Web viewUse animated algebra ... . ... Chapter 2. 2-1 Use Integers

1

Curriculum and Pacing Guide Mathematics: Algebra I Honors 1200320

Revised – June 2011

General Strategies BenchmarkThe student will use new vocabulary that is introduced and taught directly; LA.910.1.6.1

The student will listen to, read, and discuss familiar and conceptually challenging text; LA.910.1.6.2The student will relate new vocabulary to familiar words; LA.910.1.6.5

The student will pre-write by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram, web, story map,

plot pyramid) to develop a personal organizational style.

LA.910.3.1.3

Online Resources:ThinkCentral Online Edition: Thinkcentral.comFor Teachers For Students-Editable lesson plans and worksheets -Student Edition-Lesson transparencies -Video Tutor w/Practice-Powerpoint Presentations -Animated Algebra-Leveled practice worksheets -@HomeTutor Online-IDEA Works! Modified worksheets, quizzes, -Extra practice broke out by lesson and chapter

And test for special needs students-Interactive Quizzes and Tests

-All workbooks-Graphing Calculator-Virtual manipulatives-Parent resource

http://www.thinkcentral.com/

http://www.floridastandards.org/PublicPreviewBenchmark1400.aspx




2

Essential Questions:Quarter 1

How do you write and evaluate algebraic expressions? (Ch.1) Can you use expressions to write equations and inequalities? (Ch.1). How do you represent functions as verbal rules, equations, tables, and graphs? (Ch.1). Can you performing operations with real numbers? (Ch.2) Are you able to apply properties of real numbers? (Ch.2) How do you classify and reason with real numbers? (Ch.2) Can you solve equations in one variable? (Ch.3) How do you solve proportions and percent problems? (Ch.3) Can you rewriting equations in two or more variables? (Ch.3) Can you graph linear equations and functions using a variety of methods? (Ch.4) How do you recognize how changes in linear equations and functions affect their graphs? (Ch.4) Can you use the graphs of linear equations and functions to solve real-world problems? (Ch.4)

Quarter 2 Are you able to write linear equations in a variety of forms? (Ch.5) Can you use linear models to solve problems? (Ch.5) Are you able to model data with a line of fit? (Ch.5) Can you apply the properties of inequality? (Ch.6) Are you able to use statements with and or or? (Ch.6) How do you graph inequalities? (Ch.6) How do you solve linear systems by graphing? (Ch.7) Can you solve linear systems using algebra? (Ch.7) What is the process of solving systems of linear inequalities? (Ch.7)

Quarter 3 Can you apply properties of exponents to simplify expressions? (Ch.8) Are you able to work with numbers in scientific notation? (Ch.8) Can you write and graph exponential functions? (Ch.8 Can you add, subtract, and multiply polynomials? (Ch.9) Are you able to factor different types of polynomials? (Ch.9) Can you write and then use polynomial equations to solve problems? (Ch.9) How do you graph a quadratic function? (Ch.10) Can you solve quadratic equations? (Ch.10) Are you able to compare linear, exponential, and quadratic models? (Ch.10)

Quarter 4 Can you graph square root functions? (Ch.11) Are you able to use properties of radicals in expressions and equations? (Ch.11) Can you work with radicals in geometry? (Ch.11) How do you graph rational functions? (Ch.12) Can you perform operations on rational expressions? (Ch.12) How do you solve rational expressions? (Ch.12)

Note: H.O.T. Questions (by lesson) are located at the end of this document.

3

Year at a Glance:

1st QuarterCourse Content Sunshine State Standards*Chapter 1 – Expressions, Equations, and Functions MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.3.1, MA.912.A.10.1Chapter 2 – Properties of Real Numbers MA.912.A.3.2, MA.912.D.7.1, MA.912.D.7.2, MA.912.A.10.1Chapter 3 – Solving Linear Equations MA.912.A.3.1, MA.912.A.3.2, MA.912.A.3.3, MA.912.A.3.5, MA.912.A.3.7, MA.912.A.5.4, MA.912.A.10.1, MA.912.A.10.2Chapter 4 – Graphing Linear Equations and Functions MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.3.1, MA.912.A.3.7, MA.912.A.3.8, MA.912.A.3.9, MA.912.A.3.11, MA.912.A.3.12, MA.912.A.10.2, MA.912.G.1.4

2nd QuarterCourse Content Sunshine State Standards*Chapter 5 – Writing Linear Equations MA.912.A.2.3, MA.912.A.3.7, MA.912.A.3.9, MA.912.A.3.10, MA.912.A.3.11, MA.912.A.3.12, MA.912.A.10.2, MA.912.D.7.2, MA.912.G.1.4Chapter 6 – Solving and Graphing Linear Inequalities MA.912.A.2.3, MA.912.A.3.4, MA.912.A.3.5, MA.912.A.3.6, MA.912.A.3.12, MA.912.A.10.1, MA.912.D.7.2Chapter 7 – Systems of Equations and Inequalities MA.912.A.3.13, MA.912.A.3.14, MA.912.A.3.15, MA.912.A.10.1

3rd QuarterCourse Content Sunshine State Standards*Chapter 8 – Exponents and Exponential Functions MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.1, MA.912.A.10.1Chapter 9 – Polynomials and Factoring MA.912.A.1.8, MA.912.A.2.3, MA.912.A.4.2, MA.912.A.4.3, MA.912.A.7.2, MA.912.A.7.8, MA.912.A.10.2Chapter 10 – Quadratic Equations and Functions MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.3, MA.912.A.7.1, MA.912.A.7.6, MA.912.A.7.8, MA.912.A.7.10, MA.912.A.10.2

4th QuarterCourse Content Sunshine State Standards*Chapter 11 – Radicals and Geometry Connections MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.6.1, MA.912.A.6.2, MA.912.A.10.1Chapter 12 – Rational Equations and Functions MA.912.A.1.8, MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.4, MA.912.A.5.1, MA.912.A.5.3, MA.912.A.5.5, MA.912.A.5.7

4

Course Overview: Quarter 1WEEK Concepts Number of Days/Calendar Events

1 - 2

Introduction/Prerequisite Skills1-1 Evaluating Expressions1-2 Applying Order of Operations1-3 Writing Expressions1-4 Writing Equations and Inequalities1-5 Use a Problem Solving Plan1-6 Represent Functions as Rules and Tables1-7 Represent Functions as GraphsAssessment

10 Days

3-4

2-1 Use Integers and Rational Numbers2-2 Add Real Numbers2-3 Subtract Real Numbers2-4 Multiply Real Numbers2-5 Apply the Distributive Property2-6 Divide Real Numbers2-7 Find Square Roots and Compare Real NumbersAssessment

9 Days

5 -7

3-1 Solve One-Step Equations3-2 Solve Two-Step Equations3-3 Solve Multi-Step Equations3-4 Solve Equations with Variables on Both Sides3-5 Writing Ratios and Proportions3-6 Solving Proportions Using Cross Products3-7 Solving Percent Problems3-8 Rewriting Equations and FormulasAssessment

12 Days

7-9

4-1 Plotting Points in a Coordinate Plane4-2 Graphing Linear Equations4-3 Graphing Using Intercepts4-4 Find Slope and Rate of Change4-5 Graph Using Slope-Intercept Form4-6 Model Direct Variation4-7 Graph Linear FunctionsAssessment

12 Days

5

Course Overview: Quarter 2WEEK Concepts Date Completed / Notes

10-13

5-1 Write Linear Equations in Slope-Intercept Form5-2 Use Linear Equations in Slope-Intercept Form5-3 Write Linear Equations in Point-Slope Form5-4 Write Linear Equations in Standard FormArithmetic Sequences5-5 Write Equations of Parallel and Perpendicular Lines5-6 Fit Line to Data5-7 Predict with Linear ModelsAssessment

12 Days

13-16

6-1 Solve Inequalities Using Addition and Subtraction6-2 Solve Inequalities Using Multiplication and Division6-3 Solve Multi-Step Inequalities6-4 Solve Compound Inequalities6-5 Solve Absolute Value Equations6-6 Solve Absolute Value Inequalities6-7 Graph Linear Inequalities in Two VariablesAssessment

14 Days

16-17

7-1 Solve Linear Systems by Graphing7-2 Solve Linear Systems by Substitution7-3 Solve Linear Systems by Adding and Subtracting7-4 Solve Linear Systems by Multiplying First7-5 Solve Special Types of Linear Systems7-6 Solve Systems of Linear InequalitiesAssessment

9 Days

18-19

Midterm Week 5 Days

6


20-22

8-1 Apply Exponent Properties Involving Products8-2 Apply Exponent Properties Involving Quotients8-3 Define and Use Zero and Negative Exponents8-4 Use Scientific Notation8-5 Write and Graph Exponential Growth Functions8-6 Write and Graph Exponential Decay FunctionsGeometric SequencesAssessment

11 Days

22-24

9-1 Add and Subtract Polynomials9-2 Multiply polynomials9-3 Find Special Products of Polynomials9-4 Solve Polynomial Equations in Factored Form9-5 Factor x2 + bx + c9-6 Factor ax2 + bx + c9-7 Factor Special Products9-8 Factor Polynomials CompletelyAssessment

14 Days

25- 28

10-1 Graph y = ax2 + c10-2 Graph y = ax2 + bx + c10-3 Solve Quadratic Equations by Graphing10-4 Use Square Roots to Solve Quadratic Equations10-5 Solve Quadratic Equations by Completing the Square10-6 Solve Quadratic Equations by the Quadratic Formula10-7 Interpret the Discriminant10-8 Compare Linear, Exponential, and Quadratic ModelsAssessment

16 Days

7


29 -30

11-1 Graph Square Root Functions11-2 Simplify Radical Expressions11-3 Solve Radical Equations11-4 Apply the Pythagorean Theorem and its Converse11-5 Apply the Distance and Midpoint FormulasAssessment

11 Days

31-32Standards Review and PracticeFCAT Week

9-10 Days

32-35

12-1 Model Inverse Variation12-2 Graph Rational Functions12-3 Divide Polynomials12-4 Simplify Rational Expressions12-5 Multiply and Divide Rational Expressions12-6 Add and Subtract Rational Expressions12-7 Solve Rational ExpressionsAssessment

16 Days

36-39End of Course Exam (May 16)ProjectsExam Week – Other Subject Areas

15 Days

Algebra 1 Honors – High School Course Number: 1200320Materials: Holt McDougal Larson Algebra 1Chapter 1: Expressions, Equations, and Functions

8

Week 1

Days Topic TextSection Benchmarks Vocabulary Extensions/Resources DW Test Item #s

1 Introduction/ Prerequisite Skills

Scavenger HuntPg. xix

1

1

Evaluate Expressions

Apply Order of Operations

1-1

1-2

MA.912.A.1.1MA.912.A.1.4

MA.912.A.1.4

Variable,Algebraic Expression, Power, Base, Exponent, Order of Operations

Go to the textbook website:http://www.thinkcentral.com/index.htmActivity GeneratorAnimated AlgebraVideo TutorCountdownPre-AP ResourcesUnderstanding Math, under Whole Numbers and Integers, Order of OperationsSpringboard (SB) 1.1

5537,61550,61554,61557,61556

16091,1182,1759,1777,1764,2046,2198,2259,16092,61548,79905,79903

1 Write Expressions

1-3 MA.912.A.1.5 Verbal Model, Rate, Unit Rate

Go to the textbook website:http://www.thinkcentral.com/index.htmUnder Videos and Activities, Animated Math 1-3SB 1.1

716,1775,14346,16094,16100,20242,61530,61532,61533,61538,79936

1 Write Equations and Inequalities

1-4 MA.912.A.10.1

Equation, Inequality, Open Sentence, Solution of an Equation, Solution of an Inequality

Go to the textbook website:http://www.thinkcentral.com/index.htmUnder Videos and Activities, Animated Math 1-4SB 1.4, 1.5

Study Island – Lesson 2g

1055,3995,14304,14400,16189,1876,1877,1879,1881,1882,1893,1909,5584,17816,12094,11304

http://www.thinkcentral.com/index.htm

http://www.floridastandards.org/Standards/PublicPreviewBenchmark494.aspx?kw=



http://www.floridastandards.org/Standards/PublicPreviewBenchmark419.aspx?SubjectAreaID=1





9

Week 2Days Topic Text

SectionBenchmarks Vocabulary Extensions/Resources DW Test Item #s

1 Use a Problem Solving Plan

1-5 MA.912.A.10.1 Formula Go to the textbook website:http://www.thinkcentral.com/index.htmActivity GeneratorAnimated AlgebraVideo TutorCountdownPre-AP Resources

1762,1865,2028,2048,2072,2073,2080,2254,2265,2288,2290,2293,2305,2116,11145,11231,11237,11244,14282,14434,79945,103618,103624

1 Represent Functions as Rules and Tables

1-6 MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13

Function, Domain, Range, Independent Variable, Dependent Variable

SB 2.1, 2.2Lab 1.6 Tables & Scatterplots on Ti-84+ pg.41-42 1854,16124,1850,2127,1613

4, 104615

1 Represent Functions as Graphs

1-7 MA.912.A.2.3, MA.912.A.2.4

Function, Domain, Range

Use teacher tools transparencies, available on the textbook website.SB 2.1, 2.2

Activity pg. 49-50 in class – determine if a relation is a function.Study Island – Lesson 2b

1849,8017,14368,133710,96590,80437,80438,16235,14385,1850,16284,16132

2Chapter 1 Review and Assessment

Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc








10

Week 3

Days Topic TextSection Benchmarks Vocabulary Extensions/Resources DW Test Item #s

1 Use Integers and Rational Numbers

2-1 MA.912.D.7.2 Whole Numbers, Integers, Rational Numbers, Opposites, Absolute Value, Conditional Statement

Understanding Math, Under Whole Numbers and IntegersSB 1.7

16104,61643,20311

1 Add Real Numbers

2-2 MA.912.A.3.2 Additive Identity, Additive Inverse

Use integer chips to demonstrate addition of integers.SB 1.3

1807,61578,61581,61587

1Subtract Real Numbers

2-3MA.912.A.1.4

Opposites Understanding Math, Under Whole Numbers and IntegersSB 1.3

1807,16097,32602,61594,61595,61596,61597

1

Multiply Real Numbers

2-4MA.912.A.3.2

Multiplicative Identity

Understanding Math, Under Whole Numbers and Integers.

Use animated algebra (Skydiver in Free Fall), available on the textbook website.SB 1.3

1048,1779,1782,1995,2018,2201,5560,16103,17783,17813,22588,61589,61599,61603,61604,2187,2189,61546,61613,1858,22481,61617





11

Week 4

Days Topic Text Section Benchmarks Vocabulary Extensions/Resources DW Test Item #s

1 Apply The Distributive Property

2-5MA.912.A.3.2

Equivalent Expressions, Distributive Property, Term, Coefficient, Constant Term, Like Terms

Use animated algebra (Skydiver in Free Fall), available on the textbook website.SB 1.3

Study Island – Lesson 2d

35099,726,104282,13467,1857,13456,16098,16167,16237,20251

1 Divide Real Numbers

2-6MA.912.A.1.4

Multiplicative Inverse, Reciprocal, Mean

Algebra 1 Best Practices ToolkitSB 1.3

2259,1858,2187,2189,2248,61546,61608,61613,61617,1999

1Find Square Roots and Compare Real Numbers

2-7MA.912.A.1.1 MA.912.A.1.2

Square Root, Radicand, Perfect Square, Irrational Number, Real Numbers

Understanding Math, under Understanding Exponents, Square Roots.SB 1.2

Extension – Cube Roots pg. 117-118

708,1782,1792,1796,61558,61560,13219,622,5591,

2 Chapter 2 Review and Assessment


Study Island – Lesson 2d

Post-Test Union & Intersection pgs. 73-75

Study Island – Lesson 3aUtilize Previous Adoption Book (McDougal Littel) to supplement if available/needed.






12

Week 5


1 Solve One-Step Equations 3-1 MA.912.A.3.1

MA.912.A.3.2

Inverse Operations, Equivalent Equations, Reciprocal

Use Balance Scale to illustrate solving one-step equations.SB 1.4

16105,3824,3953,19739

1 Solve Two-Step Equations 3-2 MA.912.A.3.1

MA.912.A.3.1,

Like Terms, Input, Output

Go to the textbook website:http://www.thinkcentral.com/index.htmActivity GeneratorAnimated AlgebraVideo TutorCountdownPre-AP Resources

SB 1.4, 1.5

5539,16106,16107

2 Solve Multi-Step Equations

3-3 MA.912.A.3.5 Like Terms, Distributive Property, Reciprocal

SB 1.4, 1.5

Study Island – Lesson 2c

5586,20313,17555







13

Week 6


1

Solve Equations with Variables on Both Sides

3-4MA.912.A.3.1 MA.912.A.3.5

Identity On the textbook website, IDEA Works!

SB 1.5

1050,1067,2052,5566,1610,1969

1

Write Ratios and Proportions 3-5

MA.912.A.3.1, MA.912.A.5.4

Ratio, Proportion, Simplest Form

Understanding Math, under Understanding Percent, Ratios and Proportions. 2117,2120,2045,14279,2007

1,20072,20449,33345,33346,82506,82510,2307,5705,5713

1

Solve Proportions Using Cross Products

3-6MA.912.A.3.1 MA.912.A.5.4

Cross Product, Scale Drawing, Scale Model, Scale

Understanding Math, under Understanding Percent, Ratios and Proportions. *see above 3.5

2

Solve Percent Problems

3-7

MA.912.A.3.1 Percent, Proportion

Understanding Math, under Understanding Percent, Problems Involving Percent.

Include: Percent Change Lesson on pg. 185

8707,11614,35124








14

Week 7


1Rewrite Equations and Formulas

3-8 MA.912.A.3.3 Literal Equation, Formula

Go to the textbook website:http://www.thinkcentral.com/index.htmActivity GeneratorAnimated AlgebraVideo TutorCountdownPre-AP ResourcesStudy Island – Lesson 2e

1237,1816,1821,1826,1829,1830,1831,5567,7983



Supplement Word Problems from Previous Adoption:Uniform Motion, Consecutive Integers, Perimeter etc.

1 Plot Points in a Coordinate Plane

4-1 MA.912.A.2.3, MA.912.A.2.4

Quadrants, Coordinate Plane, Ordered Pair

Go to the textbook website:http://www.thinkcentral.com/index.htmActivity GeneratorAnimated AlgebraVideo TutorCountdownPre-AP ResourcesSB 2.1

5581,1836,1844,14401,80629,80626

1 Graph Linear Equations

4-2 MA.912.A.2.4, MA.912.A.3.8

Quadrants, Coordinate Plane, Ordered Pair

Go to the textbook website:http://www.thinkcentral.com/index.htmActivity GeneratorAnimated AlgebraVideo TutorCountdownPre-AP ResourcesSB 2.1Include: Discrete & Continuous Functions pg. 227-228.Study Island – Lesson 2i

80628, 131965









15

Week 8


1 Graph Using Intercepts 4-3 MA.912.A.3.8,

MA.912.A.3.9x-intercept, y-intercept

Use Geoboards with x and y axis to explore graphing intercepts.

SB 2.7

1908,96510

2 Find Slope and Rate of Change 4-4 MA.912.A.3.9,

MA.912.G.1.4Slope, Rate of Change

Make foldables to keep concepts involving slope organized.

SB 2.3

1889,5569,16136,17815,20331,35070,82539

2Graph Using Slope-Intercept Form

4-5 MA.912.A.3.7, MA.912.A.3.8

Slope-Intercept Form, Parallel

Use graphing calculators to explore graphing using slope-intercept form. Have students graph by hand after discussing explorations.

SB 2.6

Week 9


1 Model Direct Variation

4-6 MA.912.A.3.12MA.912.A.2.12

Direct Variation, Constant of Variation

Demonstrate how the constant of variation changes the graph on the graphing calculators.

16135

2 Graph Linear Functions

4-7 MA.912.A.2.3MA.912.A.3.12

Function Notation, Family of Functions, Parent Linear Function

Go to the textbook website:http://www.thinkcentral.com/index.htm

Activity GeneratorAnimated AlgebraVideo TutorCountdownPre-AP Resources

SB 2.7




http://www.floridastandards.org/Standards/FLStandardSearch.aspx








16

Week 10


2 Write Linear Equations in Slope-Intercept Form

5-1 MA.912.A.3.10, MA.912.G.1.4

y-intercept, Slope, Slope-Intercept Form

Modeling Linear Relationships activity on page 288.

SB 2.4, 2.6

5583,96513,134214,1892,1910

1 Use Linear Equations in Slope-Intercept Form

5-2MA.912.A.3.10

y-intercept, Slope, Slope-Intercept Form

Go to the textbook website:http://www.thinkcentral.com/index.htm


SB 2.6, 2.81 Write Linear

Equations in Point-Slope Form

5-3 MA.912.A.3.8, MA.912.A.3.10

Point-Slope Form Go to the textbook website:http://www.thinkcentral.com/index.htm


1908








17

Week 11


2 Write Linear Equations in Standard Form

5-4MA.912.A.3.7, MA.912.A.3.10

Standard Form Go to the textbook website:http://www.thinkcentral.com/index.htmTeacher Tools Transparencies 5-4.SB 3.2

Extension: Arithmetic Sequences pgs.315-316

96601,96511,132513,133955

2 Write Equations of Parallel and Perpendicular Lines

5-5MA.912.A.3.10

Converse, Perpendicular Lines, Conditional Statement

Go to the textbook website:http://www.thinkcentral.com/index.htm Animated Math: Slopes of Perpendicular and Parallel Lines.SB 3.4

1913,1921,1924,1930,2203,5570,5582

1

Fit a Line to Data 5-6MA.912.A.3.11

Scatter Plot, Correlation, Line of Fit

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Math: The Correlation of x and y.SB 2.8

141322,35095,19743,35089








18

Week 12 and 13


1

Predict with Linear Models

5-7 MA.912.A.3.11 Best-Fitting Line, Linear Regression, Interpolation Extrapolation, Zero of a Function.

Go to the textbook website:http://www.thinkcentral.com/index.htmTeacher Resources, Alternate Opener 5-7.SB 2.8

82540

2Chapter 5 Review and Assessment

Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop DiscStudy Island – Lesson 2h

2

Solve Inequalities using Addition and Subtraction

6-1 MA.912.A.3.4 Graph of an Inequality, Equivalent Inequalities, Inequality, Solution of an Inequality

Understanding Math, under Understanding Equations, Solving Inequalities.SB 1.6Study Island – Lesson 2f

1064,127592,16113,16164,96639,131381,131419,133998

2Solve Inequalities using Multiplication and Division

6-2 MA.912.A.3.4 Solve Inequalities Using Multiplication and Division

Understanding Math, under Understanding Equations, Solving Inequalities.SB 1.6

96640,134199,20518,14429

1

Solve Multi-Step Inequalities

6-3 MA.912.A.3.4MA.912.A.3.5

Inequality Understanding Math, under Understanding Equations, Solving Inequalities.SB 1.6

1257593,127594,20257,20317,96641,131427,134001,80990,14398







19

Week 14 and 15

Days Topic Text Section Benchmark Vocabulary Extensions/Resources DW Test Item #s

2

Solve Compound Inequalities

6-4 MA.912.A.3.4, MA.912.A.3.5

Compound Inequality

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Algebra, Sound Amplification or Compound Inequalities, 6-4.SB 1.6

80611,1896,5585,16115,16563,20259,20319,

2

Solve Absolute Value Equations

6-5 MA.912.A.3.6 Absolute Value Equation, Absolute Deviation, Absolute Value

Understanding Math, Under Understanding Equations, Solving Absolute Value Equations.SB 1.7

Lab on Absolute Value Functions on page 405.

5565

2

Solve Absolute Value Inequalities

6-6 MA.912.A.3.6 Absolute Value, Equivalent Inequalities, Compound Inequality, Absolute Deviation, Mean

Go to the textbook website:http://www.thinkcentral.com/index.htmTeacher Tools Transparencies, 6-6.SB 1.7

35166, 80603

1

Graph Linear Inequalities in Two Variables

6-7 MA.912.A.3.12 Linear Inequality in two Variables, Graph of an Inequality in two Variables

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Algebra: Graphing Linear Inequalities in Two Variables.

SB 3.3

Study Island – Lesson 2k

20523,80635,80622,134014,134023,134222









20

Week 16

Days Topic Text Section Benchmarks Vocabulary Extensions/Resources DW Test

Item #s



1

Solve Linear Systems by Graphing

7-1 MA.912.A.3.13, MA.912.A.3.14

System of Linear Equations, Solution of a System of Linear Equations, Consistent Independent System

Go to the textbook website:http://www.thinkcentral.com/index.htmActivity Generator: Solving Linear Systems Using Tables.SB 3.5Study Island – Lesson 2l

80647,80637,81078,81079,131463,11284,16343,35323

Week 17

Days Topic Text Section Benchmarks Vocabulary Extensions/Resources DW Test

Item #s

1

Solve Linear Systems by Substitution

7-2 MA.912.A.3.14, MA.912.A.3.15

System of Linear Equations

On page 446, Exploring Algebra Activity.SB 3.6 1914,1917,2297,16220,1617

3,127613,127614,20273

1

Solve Linear Systems by Adding and Subtracting

7-3 MA.912.A.3.14 MA.912.A.3.15

System of Linear Equations

Go to the textbook website:http://www.thinkcentral.com/index.htmeWorkbook, 7-3.SB 3.6

1170,2300,96653,131441

2

Solve Linear Systems by Multiplying First

7-4 MA.912.A.3.14 Least Common Multiple

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Math: Mixture Problems.

On page 470, Problem Solving Connections.SB 3.6

1923,1928,20275












21

Week 17-18

Days Topic Text Section Benchmark Vocabulary Extensions/Resources DW Test

Item #s

1

Solve Special Types of Linear Systems

7-5 MA.912.A.3.14 MA.912.A.3.15

Inconsistent System, Consistent Dependent System, System of Linear Equations, Parallel

Go to the textbook website:http://www.thinkcentral.com/index.htmAdditional Practice: Chapter Project.SB 3.6

20272,1926,7162,127615

1

Solve Systems of Linear Inequalities

7-6 MA.912.A.3.13 MA.912.A.3.15

System of Linear Inequalities, Solution of a System of Linear Inequalities, Graph of a System of Linear Inequalities

Pg. 485, Graphing Calculator Activity.SB 3.7 16285,19045,20452,35321,9

6669,8357,80647,127617



Week 18-19

Days Topic Text Section Benchmark Vocabulary Extensions/Resources DW Test

Item #s

5 Mid-Term Prep and Exams








22

Week 20


1

Apply Exponent Properties Involving Products

8-1 MA.912.A.4.1 Order of Magnitude, Power, Exponent, Base

Understanding Math, under Understanding Exponents, Exponent Rules.SB 4.1

1165,1182,1934,1935,1937, 2009,2165,2172,96671,104297,131694,127618,131700,79906

2

Apply Exponent Properties Involving Quotients

8-2 MA.912.A.4.1 Power, Exponent, Base

Understanding Math, under Understanding Exponents, Exponent Rules.SB 4.1

96384,96385,96672,96675,96677,104301,131697,131701,131706,1943

Week 21


2Define and Use Zero and Negative Exponents

8-3 MA.912.A.4.1 Reciprocal On Pg. 518, Exploring Algebra Activity.SB 4.1

16702,20281,20287,34952,96389,96678

1 Use Scientific Notation

8-4 MA.912.A.1.1, MA.912.A.1.4

Scientific Notation

On Pg. 535, Graphing Calculator Activity.SB 4.1

94480,5699,13244,14348,14395,19012,22489,34941,35161,96387

2 Write and Graph Exponential Growth Functions

8-5 MA.912.A.2.3, MA.912.A.2.13

Exponential Function, Exponential Growth, Compound Interest

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Math: Write and Graph Exponential Growth Functions.SB 4.2

164365










23

Week 22-23Days Topic Text

SectionBenchmark Vocabulary Extensions/Resources DW Test Item #s

1 Write and Graph Exponential Decay Functions

8-6 MA.912.A.2.3, MA.912.A.2.13

Exponential Decay Pg. 546, Exploring Algebra Activity.SB 4.2

Extension: Geometric Sequences pgs.555-556



1 Add and Subtract Polynomials

9-1 MA.912.A.4.2 Monomial, Degree, Polynomial, Leading Coefficient, Binomial, Trinomial

On Pg. 578, Graphing Calculator Activity.SB 4.4Study Island – Lesson 2o

1046,1051,1177,1178,1179,1960,1962,1964,17744,61631,79933,96673

1 Multiply Polynomials

9-2 MA.912.A.4.2 Polynomial, Binomial

On Pg. 579, Exploring Algebra Activity.SB 4.5

1057,1966,1968,14353,14392,14399,18988,18994,22482,34715,1181,14352,14392,20299,16157

Week 23


1 Find Special Products of Polynomials

9-3 MA.912.A.4.2 Binomial, Trinomial Go to the textbook website:http://www.thinkcentral.com/index.htmUnder Tools, use on-line Algebra tiles to demonstrate.SB 4.5

1183,1972,1976







24

2 Solve Polynomial Equations in Factored Form

9-4 MA.912.A.1.8, MA.912.A.4.3

Roots, Vertical Motion Model

Go to the textbook website:http://www.thinkcentral.com/index.htmVideo Tutor, Solve Polynomial Equations in Factored Form.SB 4.6

1184,1185,2132,16191

2 Factor x2 + bx + c 9-5 MA.912.A.4.3, MA.912.A.7.2

Zero of a Function On Pg. 600, Exploring Algebra Activity.SB 4.6

2079,2081,2233,2084,2086,20360

Week 24


2 ax2 + bx + c 9-6 MA.912.A.4.3, MA.912.A.7.2

Trinomial Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Math: Modeling the Factorization of ax2 + bx + c.SB 4.7

2013,16192

1 Factor Special Products

9-7 MA.912.A.4.3MA.912.A.7.2

Perfect Square Trinomial

Go to the textbook website:http://www.thinkcentral.com/index.htmeWorkbook, 9-7.SB 4.6

96699,104305,127623

2 Factor Polynomials Completely

9-8 MA.912.A.4.3MA.912.A.7.2

Factor by Grouping, Factor Completely

Go to the textbook website:http://www.thinkcentral.com/index.htmVideo Tutor with Practice 9-8.SB 4.6

104303,16233



Additional Word Problems from Chapter 4 of previous adoption (McDougal Littel).















25

Week 25


2Graphy = ax2 + c

10-1 MA.912.A.7.1MA.912.A.7.6

Quadratic Function, Parabola, Parent

Quadratic Function, Vertex, Axis of

Symmetry

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Math: A Falling Object Model.SB 5.2

16133,35317,81199

2Graphy = ax2 + bx + c 10-2 MA.912.A.7.1,

MA.912.A.7.6

Minimum Value, Maximum Value

On Pg. 655, Exploring Algebra Activity.SB 5.3Study Island – Lesson 2r

2137,2140,127645,80664,81200,81202,81203,81204,8207,17817,81208,81209,16261, 96689,127639

Week 26


2Solve Quadratic Equations by Graphing

10-3 MA.912.A.7.6, MA.912.A.7.10

Quadratic Equation, x-intercept, Zero of a Function, Roots

On Pg. 672, Graphing Calculator Activity.SB 5.3

1184,1185,2132,16191

1 Use Square Roots to Solve Quadratic Equations

10-4MA.912.A.7.8

Square Root, Perfect Square

Go to the textbook website:http://www.thinkcentral.com/index.htmUnder Teacher Resources, Problem Solving Workshop:Mixed Problem Solving.SB 5.4

2011,16187,81251,81254,81255

2 Solve Quadratic Equations by Completing the Square

10-5MA.912.A.7.2, MA.912.A.7.8

Completing the Square, Perfect

Square Trinomial

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Math:Modeling Completing the Square.SB 5.4













26

Week 27


2 Solve Quadratic Equations by the Quadratic Formula

10-6MA.912.A.7.2

Quadratic Formula Understanding Math, under Understanding Graphing, Quadratic Functions. To use for illustration.SB 5.4

2110,1174,81252,81253

1 Interpret the Discriminant

10-7 MA.912.A.7.8 Discriminant Go to the textbook website:http://www.thinkcentral.com/index.htmVideo Tutor: 10-7.SB 5.4Emphasize this concept as a tool to verify results.

1175,1176,1997

2 Compare Linear, Exponential, and Quadratic Models

10-8 MA.912.A.2.3 MA.912.A.2.13

Linear Function, Exponential Function, Quadratic Function

On Pg. 714, Graphing Calculator Activity.

Graphing Quadratic Functions in Vertex Form pg. 691-692.

14368, 35082




Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop DiscSuggest – Students begin creating study guide for EOC.

Study Island – Lesson 2s






27

Weeks 28-29Days Topic Text


2 Graph Square Root Functions

11-1 MA.912.A.2.4 Radical Expression, Radical Function, Square Root Function, Parent Square Root Function

Go to the textbook website:http://www.thinkcentral.com/index.htmUnder Videos and Activities, use the graphing calculator in the tool box to demonstrate.SB 4.3

2 Simplify Radical Expressions

11-2 MA.912.A.6.1MA.912.A.6.2

Simplest Form of a Radical Expression, Rationalizing the Denominator

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Algebra: Simplifying Radicals.SB 4.3Study Island – Lesson 2q

16190,2097,2098,1172,2097,2224



2 Solve Radical Equations

11-3 MA.912.A.6.5 Radical Expression, Extraneous Solution

On Pg. 759, Problem Solving Connections. 2107, 7267

2 Apply the Pythagorean Theorem and Its Converse

11-4 MA.912.G.5.1 Hypotenuse, Legs of a Right Triangle, Pythagorean Theorem

Understanding Math, under Understanding Exponents, Pythagorean Theorem.

2095, 22474

1 Apply the Distance and Midpoint Formulas

11-5 MA.912.G.1.1 Distance Formula, Midpoint, Midpoint Formula

On Pg. 767, Exploring Algebra Activity. 1936,16693,1149,1772,2238,2277,6093,7113


Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop DiscStudents continue working on EOC Study Guide

2 Flex Days









28



5 Standards Review and Practice

FCAT 2.0 for 8th

Grade Students

4 FCAT WEEK FCAT 2.0 for 8th

Grade StudentsStudents continue working on EOC Study Guide

Week 32-33Days Topic Text


2 Model Inverse Variation

12-1 MA.912.A.2.4 Inverse Variation, Constant of Variation, Hyperbola, Branches of a Hyperbola, Asymptotes of a Hyperbola

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Math: Direct and Inverse Variation.

2 Graph Rational Functions

12-2 MA.912.A.2.3 Rational Function, Hyperbola, Branches of a Hyperbola, Asymptotes of a Hyperbola

Go to the textbook website:http://www.thinkcentral.com/index.htmVideo Tutor with Practice: 12-2.







29



2 Divide Polynomials

12-3 MA.912.A.4.4 Monomial, Polynomial, Binomial, Rational Function

On Pg. 818, Graphing Calculator Activity.

16186, 1054

2 Simplify Rational Expressions

12-4 MA.912.A.5.1 Rational Expression, Excluded Value, Simplest Form of a Rational Expression

Go to the textbook website:http://www.thinkcentral.com/index.htmeWorkbook 12-4.SB 4.8

Study Island – Lesson 2p

1990

2 Multiply and Divide Rational Expressions

12-5 MA.912.A.5.2 Multiplicative Inverse, Polynomial, Rational Expression

On Pg. 838, Focus on OperationsSB 4.8






30



2 Add and Subtract Rational Expressions

12-6 MA.912.A.5.2 Least Common Denominator of Rational Expressions

Go to the textbook website:http://www.thinkcentral.com/index.htmAnimated Math: Add and Subtract Rational ExpressionsSB 4.8

2 Solve Rational Equations

12-7 MA.912.A.5.5MA.912.A.5.7

Rational Equation, Cross Product, Extraneous Solution, Least Common Denominator of Rational Expressions

On Pg. 855, Problem-Solving Workshop.


Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop DiscStudents continue working on EOC Study Guide






31

Week 36 through the endDays Topic Text


5 EOC Prep1 End of Course

Exam(May 16)

5/21-5/25?

5 + Project**See resources at the end of the pacing guide

In addition to a project or projects, teachers are encouraged to review areas that students found particularly challenging, as well as topics which will help them succeed in geometry (proportional reasoning, analytic geometry, etc.), leading to a Culminating Test during final exam time. There will be no CCPS District Final Exam.

**For the end of course project, please use a project of your choosing, either from your own library, the CCPS Gifted Website, or from the resources listed below. This should be designed to allow students the opportunity to create and collaborate. Student-teacher, student-student and student-resource interaction is encouraged, for the purpose of developing higher order thinking skills.

Project and Webquests Algebra websites:http://www.thefutureschannel.com/algebra_real_world.phpwww.education.ti.comwww.mathnspired.comhttp://www.education.com/http://www.pbs.org/teachershttp://bestwebquests.com/ http://kathyschrock.net/webquests/COLARUSSO/NEWCAR.HTML http://www.glencoe.com/sec/math/algebra/algebra1/algebra1_05/webquest/index.php4/nahttp://mathbits.com/MathBits/MathMovies/MathMovies.htmhttp://www.mathprojects.com/

http://www.mathprojects.com/

http://mathbits.com/MathBits/MathMovies/MathMovies.htm

http://www.glencoe.com/sec/math/algebra/algebra1/algebra1_05/webquest/index.php4/na

http://kathyschrock.net/webquests/COLARUSSO/NEWCAR.HTML

http://bestwebquests.com/

http://www.pbs.org/teachers

http://www.education.com/

http://www.mathnspired.com/

http://www.education.ti.com/

http://www.thefutureschannel.com/algebra_real_world.php

32

Higher-Order Thinking Questions by Lesson:

Chapter 11-1 Evaluating Expressions

Can you describe the steps needed to simplify an algebraic expression?1-2 Applying Order of Operations

Why do the Order of Operations exist?1-3 Writing Expressions

What clues are given in verbal descriptions that enable you to develop an algebraic expression? 1-4 Writing Equations and Inequalities

How do equations and inequalities differ from algebraic expressions?1-5 Use a Problem Solving Plan

What step would you add to the problem solving plan on page 28 that would assist you in solving word problems or verifying your responses?

1-6 Represent Functions as Rules and Tables How do you determine if a relation is function?

1-7 Represent Functions as Graphs Can you specify the purpose behind the four different methods to represent a function? i.e. verbally, graphically, in a table, or an equation

Chapter 22-1 Use Integers and Rational Numbers

Can you describe the attributes of the numbers in the Real Number System?2-2 Add Real Numbers

How can you tell if two numbers when added will result in an answer of zero?2-3 Subtract Real Numbers

How do you determine if the result of subtracting two numbers will be negative?2-4 Multiply Real Numbers

How is the commutative property different from the associative property?2-5 Apply the Distributive Property

Why is the distributive property sometimes needed to simplify some expressions i.e. why not use the order of operations? Support your response with examples.

2-6 Divide Real Numbers What is the difference between a response of zero and one that is undefined when dividing two numbers?

2-7 Find Square Roots and Compare Real Numbers How do you tell if a square root will result in a rational or irrational number without calculating?

Chapter 33-1 Solve One-Step Equations

How are the properties involving equality used to solve one-step equations?

33

3-2 Solve Two-Step Equations Why is it efficient to solve two-step equations inversely in reverse order?

3-3 Solve Multi-Step Equations What benefit are there to multiplying an equation by a reciprocal first to solve an equation?

3-4 Solve Equations with Variables on Both Sides What is the difference between the response of “no solution” and “identity”?

3-5 Writing Ratios and Proportions What methods can be used to check if two ratios form a proportion?

3-6 Solving Proportions Using Cross Products How are cross products used to simplify a proportion to an equation?

3-7 Solving Percent Problems How many methods can you describe to find the percent of a number? Is one method more efficient than the other? Why do we transform equations?

Chapter 44-1 Plotting Points in a Coordinate Plane

How are the coordinate plane and a world map similar?4-2 Graphing Linear Equations

How do the equations of vertical and horizontal lines differ? Why? What is the difference between a discrete and continuous function?

4-3 Graphing Using Intercepts Many real world situations can be modeled by linear equations, what benefits are there to graphing these equations using the intercepts? Can a graph of a liner function have more than one x or y intercept?

4-4 Find Slope and Rate of Change What can you conclude if the slope of a line is zero? Undefined? Positive? Negative? Is the slope of a linear function always constant? Why?

4-5 Graph Using Slope-Intercept Form Why is using the slope-intercept form of a linear equation an efficient method for graphing the function? How can you tell if two non-vertical lines are parallel? How can you tell if two non-vertical lines are parallel?

4-6 Model Direct Variation When looking at the graph of a linear function, how can you tell if it is a direct variation? What is the relationship between slope and the constant of variation?

4-7 Graph Linear Functions What is function notation? The domain of a function consists of the values of x for which the function is __________ . (defined)

Chapter 5

34

5-1 Write Linear Equations in Slope-Intercept Form What information is required to write an equation in slope-intercept form? If a line passes through the points (5, -7) & (5, 2) is it possible to write an equation for the line is slope-intercept form?

5-2 Use Linear Equations in Slope-Intercept Form How do you decide if three or more points are collinear? How do you write an equation of a line in slope-intercept form given a table of values? A graph? Two ordered pairs?

5-3 Write Linear Equations in Point-Slope Form What is the purpose of different forms of linear equations? How is using the point-slope form to graph an equation similar/different to using slope-intercept form?

5-4 Write Linear Equations in Standard Form What purpose is there to writing a linear equation is standard form? Why can A or B not equal zero in when an equation is written in standard form? What is the value of C for all direct variation equations written in standard form?

5-5 Write Equations of Parallel and Perpendicular Lines How can you tell if two non-vertical lines are parallel? What is the relationship with regards to slope for lines that are perpendicular? What is the relationship with regards to slope for lines that are parallel? Is it possible for two perpendicular lines to share the same y-intercept? If two lines are neither parallel nor perpendicular, what two statements can be made about the slope of the lines?

5-6 Fit Line to Data What is the purpose of a scatterplot? How do you draw a line of best fit (linear regression)? Can you describe the difference between sets of data that show a positive trend, negative trend, and no trend (relatively no correlation)? What relationship exists between the correlation coefficient and the slops of the line of best fit?

5-7 Predict with Linear Models What is a linear extrapolation? What is the zero of a function?

Chapter 66-1 Solve Inequalities Using Addition and Subtraction

How are solving one-step inequalities similar to solving one-step equations? How are they different? How do graph solutions for the different inequality symbols?

6-2 Solve Inequalities Using Multiplication and Division How can one inequality be written two different ways? How do graph solutions for the different inequality symbols? What impact does the negative coefficient have on the solution for the inequality?

6-3 Solve Multi-Step Inequalities Is the process for finding the range of solutions for an inequality similar to solving a multi-step equation?

6-4 Solve Compound Inequalities What is the difference between compound inequalities and singular inequalities?

35

How do the graphs of unions and intersections differ? What real world applications can compound inequalities model?

6-5 Solve Absolute Value Equations How do you solve absolute value equations? Why do you need to rewrite absolute value equations as two equations? What is the purpose of absolute deviation and how do you calculate it?

6-6 Solve Absolute Value Inequalities What is one real world application for absolute value inequalities? What process do you use to solve absolute value inequalities?

6-7 Graph Linear Inequalities in Two Variables What does the boundary line represent? What methods can be used to determine which side of the boundary line contains the solutions for the linear inequality?

Chapter 77-1 Solve Linear Systems by Graphing

How do you determine the solution for a system of equations that have been graphed? Could the solution to a system of equations be found by examining a table of values for each equation in the system? What is an example of an independent system of linear equations written in slope-intercept? What is an example of an dependent system of linear equations written in slope-intercept? What is an example of an inconsistent system of linear equations written in slope-intercept?

7-2 Solve Linear Systems by Substitution Describe the process for solving a system of equations by substitution? Is this method more efficient than graphing the system? Why or Why not? What types of real world situations can you model using systems of equations?

7-3 Solve Linear Systems by Adding and Subtracting How is the substitution method embedded in the elimination method for solving the system of equations? When writing a system of equations for a given situation what impact does current or wind have on the formats of the equations? What types of real world situations can you model using systems of equations?

7-4 Solve Linear Systems by Multiplying First Why is it necessary to multiply one or more of the equations in the system by a constant? How do you determine which method for solving a system is the most efficient? Can you use one method for solving a system to verify your results for another method? What types of real world situations can you model using systems of equations?

7-5 Solve Special Types of Linear Systems Is it possible to have a system of equations with no solution? One solution? Infinite number of solutions? How does the study of slope for each equation in the system lead to a determination of number of solutions for the system? What is the difference between an inconsistent system of equations and a consistent system of equations?

7-6 Solve Systems of Linear Inequalities How do you find the solution region for a system of linear inequalities? Can the solution to a system of equations be listed explicitly?

36

Chapter 88-1 Apply Exponent Properties Involving Products

Compare and contrast the Product of Powers Property, the Power of a Power of a Power Property and the Power of a Product Property. What is the purpose of the order of magnitude? What is it based on?

8-2 Apply Exponent Properties Involving Quotients Compare and contrast the Quotient of Powers Property and the Powers of a Quotient Property.

8-3 Define and Use Zero and Negative Exponents Can zero raised to a negative exponent be defined? Is changing the position of a number with a negative exponent the same as writing the expression as a reciprocal? Why or why not?

8-4 Use Scientific Notation What base number is scientific notation based on? Why was this notation developed? How do the exponent rules impact calculations involving scientific notation?

8-5 Write and Graph Exponential Growth Functions How do the range values differ between linear functions and exponential growth function? How does the exponential growth model compare with the compound interest formula?

8-6 Write and Graph Exponential Decay Functions How do the range values differ when examining exponential growth versus exponential decay? How do you calculate depreciation?

Chapter 99-1 Add and Subtract Polynomials

What role does like terms play; if any, as you add and subtract polynomials? What criteria dictate if an expression is a polynomial?

9-2 Multiply polynomials What methods can you use to multiply polynomials? When is it appropriate to use one method over another?

9-3 Find Special Products of Polynomials What happens to the middle terms when you find the product using the sum and difference pattern? What happens to the middle term when you find the square a binomial? How does recognizing patterns encourage efficiency when multiplying certain binomials?

9-4 Solve Polynomial Equations in Factored Form What is the zero product property? How is it used to solve polynomial equations? What are roots? How is the vertical motion model used to solve problems? What elements impacting motion does it ignore?

9-5 Factor x2 + bx + c What do b and c represent in x2 + bx + c? How do the signs of b and c affect the binomial factors?

9-6 Factor ax2 + bx + c What do a, b, and c represent in ax2 + bx + ? How do the signs of a,b, & c affect the binomial factors?

37

Why should you factor negative one from a polynomial expression if a is negative?9-7 Factor Special Products

How does recognizing patterns from multiplication of binomials assist you in factoring special products? If working with a polynomial that has fractional coefficients what process will assist you in factoring the polynomial?

9-8 Factor Polynomials Completely How does the distributive property used to factor by grouping? What are the steps to factoring a polynomial completely?

Chapter 1010-1 Graph y = ax2 + c

How do you determine whether a parabola has a minimum or maximum point? What impact does the coefficient of x2 have on the direction of the parabola? Describe the process for graphing a parabola of the form y = ax2 + c. How do changes in the value of c impact the location of the parabola on the y-axis?

10-2 Graph y = ax2 + bx + c How do changes in the value of b impact the location of the parabola on the coordinate plane? What purpose does finding the axis of symmetry serve? What impact does the absolute value of a have on the width of the parabola?

10-3 Solve Quadratic Equations by Graphing How do you find the roots of a quadratic equation by graphing? How would you describe the solution if the graph doesn’t intersect the x-axis? How many solutions are possible to find for a quadratic equation?

10-4 Use Square Roots to Solve Quadratic Equations How does the value of d in x2 = d alter the number of solutions for the quadratic equation? When is it most efficient to use the square root method for solving a quadratic equation?

10-5 Solve Quadratic Equations by Completing the Square Describe the process for solving equations by completing the square. When is it most efficient to use the completing the square method for solving a quadratic equation? What role does factoring play in the completing the square method?

10-6 Solve Quadratic Equations by the Quadratic Formula What role does the order of operations play in using the quadratic formula to solve equations? Consider the five methods you have learned to solve quadratic equations, how do you know when to use which method?

10-7 Interpret the Discriminant The discriminant provides what vital information about a quadratic equation? How can know the discriminant assist you in verifying you have solved an equation correctly?

10-8 Compare Linear, Exponential, and Quadratic Models What methods can you use to discern whether a list of ordered pairs represents a linear, quadratic, or exponential function?

38

Chapter 1111-1 Graph Square Root Functions

How do determine if a square root function is a stretch, shrink and/or a reflection as compared to the parent function?11-2 Simplify Radical Expressions

What process do you use to simply expression involving radicals? Why does rationalizing the denominator not alter the value of the expression? How are operations with radicals similar to working with rational numbers? Why?

11-3 Solve Radical Equations When arriving at a solution for a radical equation why are some solutions considered extraneous?

11-4 Apply the Pythagorean Theorem and its Converse How can the methods learned to solve quadratic equations be used to find the missing lengths of a right triangle? How do prove whether a triangle is a right triangle?

11-5 Apply the Distance and Midpoint Formulas Is the distance formula a transformation of the Pythagorean Theorem? Support your response. What purpose does the midpoint formula serve? Can you think of a unit of study in math where finding the midpoint of a line segment would

be important?

Chapter 1212-1 Model Inverse Variation

How do you determine if an equation is an inverse variation, direct variation, or neither? How do changes in the value of the constant of variation impact the location of the graph on the coordinate plane?

12-2 Graph Rational Functions How do you find the domain and range of a rational function?

12-3 Divide Polynomials When do you know to perform long division or write division as a fraction when dividing polynomials? Can you identify the quotient, divisor, dividend, and remainder? What is the appropriate form for stating a response to long division with a

remainder?12-4 Simplify Rational Expressions

Why are there excluded values? What role does factoring paly in simplifying rational expressions?

12-5 Multiply and Divide Rational Expressions Can rational expression be evaluated using the same rules as used when working with rational numbers? Why or Why not?

12-6 Add and Subtract Rational Expressions How and why do you identify the least common denominator?

12-7 Solve Rational Expressions Can all rational equations be solved using cross products? Why or Why not? Why do all solutions need to not violate the restrictions on the variable?

Documents

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