Course Description
Algebra I
183
ALGEBRA 1
Course Rationale
Algebra 1 is the critical element in secondary mathematics education Topics introduced in Algebra 1 provide the foundation students require for
future success in high school mathematics critical thinking and problem solving The primary goal in Algebra 1 is to help students transfer their
concrete mathematical knowledge to more abstract algebraic generalizations
Course Description
Algebra 1 topics include recognizing and developing patterns using tables graphs and equations In addition students will explore operations on
algebraic expressions apply mathematical properties to algebraic equations Students will solve problems using equations graphs and tables to
investigate linear relationships Technology will be used to introduce and expand upon the areas of study listed above Use of computers and
graphing calculators will be incorporated into each module
184
Resources Adopted Text _______________________________________________________________________ Websites wwwdesemogov Classroom Assessment Item Bank httpilluminationsnctmorg wwwkeymathcom httplibrarythinkquestorg httpncesedgov httpmathforumorgmathtoolssitemaphtml wwwphysicsclassroomcom wwwregentpreporg httpschoolsspsdskcamounthoffmanMath9gradeninehtm httpscorekingsk12causlessonshtml wwwshodororginteractivate wwwsuccesslinkorg
Abbreviations
Subjects CLE Course Level Expectations BT Bloomrsquos Taxonomy
CA Communication Arts Math Strands K Knowledge
MA Mathematics NO Number and Operations C Comprehension
SC Science AR Algebraic Relationships Ap Application
SS Social Studies GSR Geometric Spatial Relationships An Analysis
M Measurements S Synthesis
DP Data and Probability E Evaluation
185
Algebra I
Number and Operations
1 Understand numbers ways of representing numbers relationships among numbers and number systems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Read write and compare numbers
Compare and order rational and irrational numbers including finding their approximate locations on a number line
MA 5 33
NO 1A9
Ap gtThe students will participate in a ldquoBaseball Mathrdquo activity to compare and order rational and irrational numbers Teacher creates a number line (board overhead smartboard) to whatever dimensions they wish Students are divided into two teams When it is their teamrsquos turn they line up by the number line Teacher asks them a question (Where is -8 on the number line Which is larger -1 or 1 and prove it on the number line etc) If answer is correct the student moves one base Team scores when a student crosses home plate
Students will compare and order rational and irrational numbers including finding their approximate locations on a number line with a textbook assignment and or on-line 10 question quiz httpschoolsspsdskcamounthoffmanMath9gradeninehtm Quizzes Which is bigger One and Which is bigger Two
80
Integrated Skills Workplace Readiness
186
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe effects of operations
Describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities
MA 5 34 41
NO 2B9
C gt Students will describe the effects of operations when they learn that vectors are composed of magnitude and direction and they extend their knowledge of number systems to the system of vectors when completing the activity ldquoLearning About Properties of Vectors and Vector Sums Using Dynamic Softwarerdquo Located at the following website httpilluminationsnctmorg LessonsActivities Grades 9-12 gtThe students will describe the effects of operations on root equivalences with geometric arrangements when completing the lesson ldquoStacking Squaresrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12
Students will describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities with a textbook assignment or a performance event Farmer Philliprsquos Bumper Crop wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Workplace Readiness
187
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply properties of operations
Apply properties of exponents (including order of operations) to simplify expressions or solve equations
MA 4 16 110
NO 2C9
Ap The students will apply properties of exponents when completing activities and assessments from the following website wwwregentpreporg Math A 3 Operations Order of Operations and Evaluating Expressions and Exponents The students will apply properties of exponents when completing the lesson ldquoArmstrong Numbersrdquo located at the following website httpilluminationsnctmorg Lessons Grades 6-12
Students will apply properties of exponents to simplify expressions or solve equations with a textbook assignment
80
Integrated Skills
188
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply operations on real and complex numbers
Apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases
MA 1 MA 4 MA 5 14 34
NO 2D 9-10
Ap gtThe students will apply operations to real numbers during the ldquoInteger Footballrdquo activity Attachment A gtThe students will apply operations to real numbers when completing the SuccessLink lesson ldquoEntertaining Valuesrdquo wwwsuccesslinkorg
Students will apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases with a variety of quizzes httpschoolsspsdskcamounthoffmanMath9gradeninehtm
80
Integrated Skills Workplace Readiness
189
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Compute problems
Apply all operations to real numbers
MA 1 110 33
NO 3C9
Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School
Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo
80
Integrated Skills Workplace Readiness
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
183
ALGEBRA 1
Course Rationale
Algebra 1 is the critical element in secondary mathematics education Topics introduced in Algebra 1 provide the foundation students require for
future success in high school mathematics critical thinking and problem solving The primary goal in Algebra 1 is to help students transfer their
concrete mathematical knowledge to more abstract algebraic generalizations
Course Description
Algebra 1 topics include recognizing and developing patterns using tables graphs and equations In addition students will explore operations on
algebraic expressions apply mathematical properties to algebraic equations Students will solve problems using equations graphs and tables to
investigate linear relationships Technology will be used to introduce and expand upon the areas of study listed above Use of computers and
graphing calculators will be incorporated into each module
184
Resources Adopted Text _______________________________________________________________________ Websites wwwdesemogov Classroom Assessment Item Bank httpilluminationsnctmorg wwwkeymathcom httplibrarythinkquestorg httpncesedgov httpmathforumorgmathtoolssitemaphtml wwwphysicsclassroomcom wwwregentpreporg httpschoolsspsdskcamounthoffmanMath9gradeninehtm httpscorekingsk12causlessonshtml wwwshodororginteractivate wwwsuccesslinkorg
Abbreviations
Subjects CLE Course Level Expectations BT Bloomrsquos Taxonomy
CA Communication Arts Math Strands K Knowledge
MA Mathematics NO Number and Operations C Comprehension
SC Science AR Algebraic Relationships Ap Application
SS Social Studies GSR Geometric Spatial Relationships An Analysis
M Measurements S Synthesis
DP Data and Probability E Evaluation
185
Algebra I
Number and Operations
1 Understand numbers ways of representing numbers relationships among numbers and number systems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Read write and compare numbers
Compare and order rational and irrational numbers including finding their approximate locations on a number line
MA 5 33
NO 1A9
Ap gtThe students will participate in a ldquoBaseball Mathrdquo activity to compare and order rational and irrational numbers Teacher creates a number line (board overhead smartboard) to whatever dimensions they wish Students are divided into two teams When it is their teamrsquos turn they line up by the number line Teacher asks them a question (Where is -8 on the number line Which is larger -1 or 1 and prove it on the number line etc) If answer is correct the student moves one base Team scores when a student crosses home plate
Students will compare and order rational and irrational numbers including finding their approximate locations on a number line with a textbook assignment and or on-line 10 question quiz httpschoolsspsdskcamounthoffmanMath9gradeninehtm Quizzes Which is bigger One and Which is bigger Two
80
Integrated Skills Workplace Readiness
186
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe effects of operations
Describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities
MA 5 34 41
NO 2B9
C gt Students will describe the effects of operations when they learn that vectors are composed of magnitude and direction and they extend their knowledge of number systems to the system of vectors when completing the activity ldquoLearning About Properties of Vectors and Vector Sums Using Dynamic Softwarerdquo Located at the following website httpilluminationsnctmorg LessonsActivities Grades 9-12 gtThe students will describe the effects of operations on root equivalences with geometric arrangements when completing the lesson ldquoStacking Squaresrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12
Students will describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities with a textbook assignment or a performance event Farmer Philliprsquos Bumper Crop wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Workplace Readiness
187
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply properties of operations
Apply properties of exponents (including order of operations) to simplify expressions or solve equations
MA 4 16 110
NO 2C9
Ap The students will apply properties of exponents when completing activities and assessments from the following website wwwregentpreporg Math A 3 Operations Order of Operations and Evaluating Expressions and Exponents The students will apply properties of exponents when completing the lesson ldquoArmstrong Numbersrdquo located at the following website httpilluminationsnctmorg Lessons Grades 6-12
Students will apply properties of exponents to simplify expressions or solve equations with a textbook assignment
80
Integrated Skills
188
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply operations on real and complex numbers
Apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases
MA 1 MA 4 MA 5 14 34
NO 2D 9-10
Ap gtThe students will apply operations to real numbers during the ldquoInteger Footballrdquo activity Attachment A gtThe students will apply operations to real numbers when completing the SuccessLink lesson ldquoEntertaining Valuesrdquo wwwsuccesslinkorg
Students will apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases with a variety of quizzes httpschoolsspsdskcamounthoffmanMath9gradeninehtm
80
Integrated Skills Workplace Readiness
189
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Compute problems
Apply all operations to real numbers
MA 1 110 33
NO 3C9
Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School
Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo
80
Integrated Skills Workplace Readiness
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
184
Resources Adopted Text _______________________________________________________________________ Websites wwwdesemogov Classroom Assessment Item Bank httpilluminationsnctmorg wwwkeymathcom httplibrarythinkquestorg httpncesedgov httpmathforumorgmathtoolssitemaphtml wwwphysicsclassroomcom wwwregentpreporg httpschoolsspsdskcamounthoffmanMath9gradeninehtm httpscorekingsk12causlessonshtml wwwshodororginteractivate wwwsuccesslinkorg
Abbreviations
Subjects CLE Course Level Expectations BT Bloomrsquos Taxonomy
CA Communication Arts Math Strands K Knowledge
MA Mathematics NO Number and Operations C Comprehension
SC Science AR Algebraic Relationships Ap Application
SS Social Studies GSR Geometric Spatial Relationships An Analysis
M Measurements S Synthesis
DP Data and Probability E Evaluation
185
Algebra I
Number and Operations
1 Understand numbers ways of representing numbers relationships among numbers and number systems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Read write and compare numbers
Compare and order rational and irrational numbers including finding their approximate locations on a number line
MA 5 33
NO 1A9
Ap gtThe students will participate in a ldquoBaseball Mathrdquo activity to compare and order rational and irrational numbers Teacher creates a number line (board overhead smartboard) to whatever dimensions they wish Students are divided into two teams When it is their teamrsquos turn they line up by the number line Teacher asks them a question (Where is -8 on the number line Which is larger -1 or 1 and prove it on the number line etc) If answer is correct the student moves one base Team scores when a student crosses home plate
Students will compare and order rational and irrational numbers including finding their approximate locations on a number line with a textbook assignment and or on-line 10 question quiz httpschoolsspsdskcamounthoffmanMath9gradeninehtm Quizzes Which is bigger One and Which is bigger Two
80
Integrated Skills Workplace Readiness
186
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe effects of operations
Describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities
MA 5 34 41
NO 2B9
C gt Students will describe the effects of operations when they learn that vectors are composed of magnitude and direction and they extend their knowledge of number systems to the system of vectors when completing the activity ldquoLearning About Properties of Vectors and Vector Sums Using Dynamic Softwarerdquo Located at the following website httpilluminationsnctmorg LessonsActivities Grades 9-12 gtThe students will describe the effects of operations on root equivalences with geometric arrangements when completing the lesson ldquoStacking Squaresrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12
Students will describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities with a textbook assignment or a performance event Farmer Philliprsquos Bumper Crop wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Workplace Readiness
187
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply properties of operations
Apply properties of exponents (including order of operations) to simplify expressions or solve equations
MA 4 16 110
NO 2C9
Ap The students will apply properties of exponents when completing activities and assessments from the following website wwwregentpreporg Math A 3 Operations Order of Operations and Evaluating Expressions and Exponents The students will apply properties of exponents when completing the lesson ldquoArmstrong Numbersrdquo located at the following website httpilluminationsnctmorg Lessons Grades 6-12
Students will apply properties of exponents to simplify expressions or solve equations with a textbook assignment
80
Integrated Skills
188
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply operations on real and complex numbers
Apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases
MA 1 MA 4 MA 5 14 34
NO 2D 9-10
Ap gtThe students will apply operations to real numbers during the ldquoInteger Footballrdquo activity Attachment A gtThe students will apply operations to real numbers when completing the SuccessLink lesson ldquoEntertaining Valuesrdquo wwwsuccesslinkorg
Students will apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases with a variety of quizzes httpschoolsspsdskcamounthoffmanMath9gradeninehtm
80
Integrated Skills Workplace Readiness
189
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Compute problems
Apply all operations to real numbers
MA 1 110 33
NO 3C9
Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School
Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo
80
Integrated Skills Workplace Readiness
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
185
Algebra I
Number and Operations
1 Understand numbers ways of representing numbers relationships among numbers and number systems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Read write and compare numbers
Compare and order rational and irrational numbers including finding their approximate locations on a number line
MA 5 33
NO 1A9
Ap gtThe students will participate in a ldquoBaseball Mathrdquo activity to compare and order rational and irrational numbers Teacher creates a number line (board overhead smartboard) to whatever dimensions they wish Students are divided into two teams When it is their teamrsquos turn they line up by the number line Teacher asks them a question (Where is -8 on the number line Which is larger -1 or 1 and prove it on the number line etc) If answer is correct the student moves one base Team scores when a student crosses home plate
Students will compare and order rational and irrational numbers including finding their approximate locations on a number line with a textbook assignment and or on-line 10 question quiz httpschoolsspsdskcamounthoffmanMath9gradeninehtm Quizzes Which is bigger One and Which is bigger Two
80
Integrated Skills Workplace Readiness
186
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe effects of operations
Describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities
MA 5 34 41
NO 2B9
C gt Students will describe the effects of operations when they learn that vectors are composed of magnitude and direction and they extend their knowledge of number systems to the system of vectors when completing the activity ldquoLearning About Properties of Vectors and Vector Sums Using Dynamic Softwarerdquo Located at the following website httpilluminationsnctmorg LessonsActivities Grades 9-12 gtThe students will describe the effects of operations on root equivalences with geometric arrangements when completing the lesson ldquoStacking Squaresrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12
Students will describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities with a textbook assignment or a performance event Farmer Philliprsquos Bumper Crop wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Workplace Readiness
187
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply properties of operations
Apply properties of exponents (including order of operations) to simplify expressions or solve equations
MA 4 16 110
NO 2C9
Ap The students will apply properties of exponents when completing activities and assessments from the following website wwwregentpreporg Math A 3 Operations Order of Operations and Evaluating Expressions and Exponents The students will apply properties of exponents when completing the lesson ldquoArmstrong Numbersrdquo located at the following website httpilluminationsnctmorg Lessons Grades 6-12
Students will apply properties of exponents to simplify expressions or solve equations with a textbook assignment
80
Integrated Skills
188
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply operations on real and complex numbers
Apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases
MA 1 MA 4 MA 5 14 34
NO 2D 9-10
Ap gtThe students will apply operations to real numbers during the ldquoInteger Footballrdquo activity Attachment A gtThe students will apply operations to real numbers when completing the SuccessLink lesson ldquoEntertaining Valuesrdquo wwwsuccesslinkorg
Students will apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases with a variety of quizzes httpschoolsspsdskcamounthoffmanMath9gradeninehtm
80
Integrated Skills Workplace Readiness
189
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Compute problems
Apply all operations to real numbers
MA 1 110 33
NO 3C9
Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School
Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo
80
Integrated Skills Workplace Readiness
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
186
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe effects of operations
Describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities
MA 5 34 41
NO 2B9
C gt Students will describe the effects of operations when they learn that vectors are composed of magnitude and direction and they extend their knowledge of number systems to the system of vectors when completing the activity ldquoLearning About Properties of Vectors and Vector Sums Using Dynamic Softwarerdquo Located at the following website httpilluminationsnctmorg LessonsActivities Grades 9-12 gtThe students will describe the effects of operations on root equivalences with geometric arrangements when completing the lesson ldquoStacking Squaresrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12
Students will describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities with a textbook assignment or a performance event Farmer Philliprsquos Bumper Crop wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Workplace Readiness
187
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply properties of operations
Apply properties of exponents (including order of operations) to simplify expressions or solve equations
MA 4 16 110
NO 2C9
Ap The students will apply properties of exponents when completing activities and assessments from the following website wwwregentpreporg Math A 3 Operations Order of Operations and Evaluating Expressions and Exponents The students will apply properties of exponents when completing the lesson ldquoArmstrong Numbersrdquo located at the following website httpilluminationsnctmorg Lessons Grades 6-12
Students will apply properties of exponents to simplify expressions or solve equations with a textbook assignment
80
Integrated Skills
188
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply operations on real and complex numbers
Apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases
MA 1 MA 4 MA 5 14 34
NO 2D 9-10
Ap gtThe students will apply operations to real numbers during the ldquoInteger Footballrdquo activity Attachment A gtThe students will apply operations to real numbers when completing the SuccessLink lesson ldquoEntertaining Valuesrdquo wwwsuccesslinkorg
Students will apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases with a variety of quizzes httpschoolsspsdskcamounthoffmanMath9gradeninehtm
80
Integrated Skills Workplace Readiness
189
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Compute problems
Apply all operations to real numbers
MA 1 110 33
NO 3C9
Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School
Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo
80
Integrated Skills Workplace Readiness
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
187
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply properties of operations
Apply properties of exponents (including order of operations) to simplify expressions or solve equations
MA 4 16 110
NO 2C9
Ap The students will apply properties of exponents when completing activities and assessments from the following website wwwregentpreporg Math A 3 Operations Order of Operations and Evaluating Expressions and Exponents The students will apply properties of exponents when completing the lesson ldquoArmstrong Numbersrdquo located at the following website httpilluminationsnctmorg Lessons Grades 6-12
Students will apply properties of exponents to simplify expressions or solve equations with a textbook assignment
80
Integrated Skills
188
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply operations on real and complex numbers
Apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases
MA 1 MA 4 MA 5 14 34
NO 2D 9-10
Ap gtThe students will apply operations to real numbers during the ldquoInteger Footballrdquo activity Attachment A gtThe students will apply operations to real numbers when completing the SuccessLink lesson ldquoEntertaining Valuesrdquo wwwsuccesslinkorg
Students will apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases with a variety of quizzes httpschoolsspsdskcamounthoffmanMath9gradeninehtm
80
Integrated Skills Workplace Readiness
189
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Compute problems
Apply all operations to real numbers
MA 1 110 33
NO 3C9
Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School
Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo
80
Integrated Skills Workplace Readiness
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
188
Number and Operations
2 Understand meanings of operations and how they relate to one another Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Apply operations on real and complex numbers
Apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases
MA 1 MA 4 MA 5 14 34
NO 2D 9-10
Ap gtThe students will apply operations to real numbers during the ldquoInteger Footballrdquo activity Attachment A gtThe students will apply operations to real numbers when completing the SuccessLink lesson ldquoEntertaining Valuesrdquo wwwsuccesslinkorg
Students will apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases with a variety of quizzes httpschoolsspsdskcamounthoffmanMath9gradeninehtm
80
Integrated Skills Workplace Readiness
189
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Compute problems
Apply all operations to real numbers
MA 1 110 33
NO 3C9
Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School
Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo
80
Integrated Skills Workplace Readiness
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
189
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Compute problems
Apply all operations to real numbers
MA 1 110 33
NO 3C9
Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School
Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo
80
Integrated Skills Workplace Readiness
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
190
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Estimate and justify solutions
Judge the reasonableness of numerical computations and their results
MA 1 38
NO 3D 9-12
E The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School
Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
191
Number and Operations
3 Compute fluently and make reasonable estimates Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Use proportional reasoning
Solve problems involving proportions
MA 1 MA 4 33
NO 3E 9-12
Ap gtThe students will solve problems involving proportions when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F
Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
192
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Create and analyze patterns
Generalize patterns using explicitly or recursively defined functions
MA 4 16 35
AR 1B 9-12
C The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School
Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G
80
Integrated Skills Workplace Readiness
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
193
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Classify objects and representations Compare and contrast
various forms of representations of patterns
MA 4 16
AR 1C 9-12
A The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents
Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
194
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Identify and compare functions Understand and
compare the properties of linear and exponential functions (include intercepts)
MA 4 16 36
AR 1D 9
C A
The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept
Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills Technology
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
195
Algebraic Relationships
1 Understand patterns relations and functions Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe the effects of parameter changes Describe the effects of
parameter changes on linear functions
MA 4 16 41
AR 1E
C
The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters
Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
196
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent mathematical situations Use symbolic algebra
to represent and solve problems that involve linear relationships including absolute value and recursive relationships
MA 4 MA 6 16 31
AR 2A
Ap
The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond
Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I
80
Integrated Skills Workplace Readiness
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
197
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and use mathematical manipulation Describe and use
algebraic manipulations including factoring and rules of integer exponents
MA 4 31 41
AR 2B 9-10
C Ap
gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg
Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
198
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize equivalent forms Use and solve
equivalent forms of equations and inequalities (linear)
MA 4 16 34
AR 2C9
Ap
The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate
Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
199
Algebraic Relationships
2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Utilize systems Use and solve systems
of linear equations with 2 variables
MA 4 16
AR 2D9
Ap
The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions
Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
200
Algebraic Relationships
3 Use mathematical models to represent and understand quantitative relationships Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use mathematical models Identify quantitative
relationships and determine the type(s) of functions that might model the situation to solve the problem
MA 4 16 36
AR 3A 10
K C
gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N
Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O
80
Integrated Skills Technology Workplace Readiness
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
201
Algebraic Relationships
4 Analyze change in various contexts Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent
Activities Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze change Analyze linear functions
by investigating rates of change and intercepts
MA 4 16 41
AR 4A9
A
The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg
Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q
80
Integrated Skills Technology
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
202
Geometric and Spatial Relationships
3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use transformations on objects Represent translations
reflections rotations and dilations of objects in the coordinate plane
MA 2 110
GSR 1B
Ap
gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations
Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
203
Geometric and Spatial Relationships
4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Draw and use visual models Draw or use visual
models to represent and solve problems
MA 2 31 21
GSR 4B9
Ap
The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup
Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project
80
Integrated Skills Technology
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
204
Measurement
1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Determine unit of measurement Identify and justify
appropriate units of measure for velocity
MA 1 MA 2 31 41
M 1A9
E
gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml
Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html
80
Integrated Skills Technology
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
205
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Analyze precision Analyze effects of
computation on precision
MA 2 17 18 38
M 2D 9-10
A
The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement
Students will be analyze effects of computation on precision when completing lab activities
80
Integrated Skills Technology
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
206
Measurement
2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Use relationship within a measurement system Use unit analysis to
solve problems involving rates
MA 4 31 18
M 2E
E
The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12
Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution
80
Integrated Skills Technology
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
207
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Formulate questions Formulate questions
design studies and collect data about a characteristic
MA 3 12 18
DP 1A 9-12
A
The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9
Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
208
Data and Probability
1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent and interpret data Select create and use
appropriate graphical representation of data
MA 3 18 36
DP 1C 9-10
Ap
The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9
Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics
80
Integrated Skills Technology
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
209
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Describe and analyze data Apply statistical
concepts to solve problems
MA 3 16 110 34
DP 2A9
Ap
The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S
Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
210
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Compare data representations Given one-variable
quantitative data display the distribution and describe its shape
MA 3 18
DP 2B 9-10
Ap
The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)
Students will create a graph to display the distribution of data and describe its shape with a textbook assignment
80
Integrated Skills Technology
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
211
Data and Probability
2 Select and use appropriate statistical methods to analyze data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Represent data algebraically Given a scatterplot
determine an equation for a line of best fit
MA 3 16
DP 2C9
A
The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics
Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
212
Data and Probability
3 Develop and evaluate inferences and predictions that are based on data Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Develop and evaluate inferences Make conjectures
about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
MA 3 35
DP 3A9
E
gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg
Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills
213
Data and Probability
4 Understand and apply basic concepts of probability Measurable Learner
Objective
The student will be able to
Assessed
Show-Me
Goals
CLE
Code
BT Instructional StrategiesStudent Activities
Resources
Assessments (including
Performance-based)
Mastery
Min
Apply basic concepts of probability Construct sample
spaces and distributions
MA 3 31 21
DP 4A9
AP
The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg
Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class
80
Integrated Skills