INSTRUCTIONAL DESIGN FRAMEWORKmo01001301.schoolwires.net/cms/lib01/MO01001301/Centricity/Domain/39/... · - 1 - INSTRUCTIONAL DESIGN FRAMEWORK . AR4A . equations by changing . intercepts,

Math – Algebra I

08/06/2009 Copyright 2006 FandL, Inc

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INSTRUCTIONAL DESIGN FRAMEWORK

AR4A

Standard Analyze linear and quadratic functions by investigating rates of change, intercepts and zeros.

The What Linear and quadratic functions Rates of change Intercepts Zeros

The How (DOK) Analyze Investigate

Kid Friendly Objective 1. I will analyze linear functions by investigating rates of change, intercepts and

zeros. 2. I will analyze quadratic functions by investigating rates of change, intercepts

and zeros.

Activity Given linear and quadratic equations, practice finding slopes, intercepts, and zeros by writing various forms or factoring (for quadratic).

Activity Use a graphing calculator to graph several quadratic equations by changing leading coefficients, intercepts, or zeros.

Activity Use a graphing calculator to graph several linear equations by changing the slope, intercepts, or zeros.

Assessment of Kid Friendly Objectives Given various forms of linear or quadratic equations, analyze the graph and then graph the equation to check the description.

Academic Vocabulary Linear functions Quadratic functions Rates of change Intercepts Zeros

Math – Algebra I


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GS1B

Standard Apply geometric properties such as similarity and angle relationship to solve multi-step problems in two dimensions.

The What • Geometric properties • Similarit • Angle relationship • Multi-step problems in

two dimensions

The How (DOK) Apply Solve

Kid Friendly Objective 1. I will apply geometric properties such as similarity to solve multi-step problems

in two dimensions. 2. I will apply geometric properties such as angle relationship to solve multi-step

problems in two dimensions.

Activity Given actual measurements of some rooms in a house and a scale, students will work in pairs to find the scale measurements for the blueprint.

Activity Use graph paper to copy a given set of three triangles and investigate the ratio of corresponding sides.

Activity Given several pairs of similar figures on the SMARTboard or overhead projector, students will practice matching corresponding angles and sides.

Assessment of Kid Friendly Objectives Given several pairs of similar triangles, the student will solve for the missing lengths of sides of a triangle by applying geometric properties.

Academic Vocabulary Geometric properties Similarity Angle relationship Multi-step problems Dimensions

Math – Algebra I


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NO2D

Standard Apply operations to real numbers, using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases.

The What • Mental computation • Paper-and-pencil

calculations • Technology

The How (DOK) Apply Computations Calculations

Kid Friendly Objective 1. I will apply operations to real numbers using mental computation or paper-and-

pencil calculations for simple cases. 2. I will apply operations to real numbers using technology for more complicated

cases.

Activity Use board races or individual white boards to reinforce the order of operations with and without calculators.

Activity Use different calculators to practice the order of operations with technology.

Activity Play “Bingo” without calculators to review mental strategies and practice mental computation.

Assessment of Kid Friendly Objectives The student will complete a number crossword puzzle by applying operations of real numbers using technology on the “across” calculations and mental computation on the “down” calculations.

Academic Vocabulary Pperations Real numbers Mental computations Paper-and-pencil calculations Technology Calculators

Math – Algebra I


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DP2C

Standard Apply statistical measures of center to solve problems.

The What Statistical measures of center

The How (DOK) Apply Solve

Kid Friendly Objective I will apply statistical measures of center to solve problems.

Activity Group together based on which data (age, height, shoe size) was used. Discuss which measure best represents the data to communicate with entire class.

Activity Find the quartiles and construct a box-and-whisker plot to represent the data.

Activity Poll class for ages, shoe size, or height. Find the mean, median, mode, and range of data.

Assessment of Kid Friendly Objectives Given a set of data apply and compare the measures of center. Determine which measure best represents the data.

Academic Vocabulary Apply Mean Median Mode Range Interquartile range Statistical measures of center Measures of central tendency

Math – Algebra I


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AR1C

Standard Compare and contrast various forms of representations of patterns.

The What Representations of patterns

The How (DOK) Compare Contrast

Kid Friendly Objective I will compare and contrast various forms of representations of patterns.

Activity Then the group will formulate the numerical pattern (writing it on the butcher paper). The next group will devise the correct function for the pattern.

Activity In groups, students will create a visual pattern on butcher paper to place on wall. Groups will try to solve another groups’ pattern by drawing the next term in pattern.

Activity Use the whiteboards (in groups) to draw several triangles. Draw minimum number of diagonals in each triangle. Discuss connection between number of diagonals and resulting number of triangles.

Assessment of Kid Friendly Objectives Given a visual, numerical or function form of a pattern, the student will compare and contrast the other two forms.

Academic Vocabulary Compare Contrast Representations of patterns

Math – Algebra I


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NO1A

Standard Compare and order rational and irrational numbers, including finding their approximate locations on a number line.

The What Rational numbers Irrational numbers Number line

The How (DOK) Compare Order Find

Kid Friendly Objective 1. I will compare and order rational numbers and locate them on a number line. 2. I will compare and order irrational numbers and locate them on a number line.

Activity Give students a set of rational and irrational numbers to place on a number line they created.

Activity Make number line on board and give each student two numbers to place on number line.

Activity Use Powerpoint (yes/no) activity to classify numbers as whole, integers, rational, or irrational.

Assessment of Kid Friendly Objectives The student will create a timeline (number line) using at least ten events from their life and ten events that occurred before they were born. Each student will also need to find three positive and three negative irrational numbers to place on their timeline. The students will need to order the events on their timeline and compare the results.

Academic Vocabulary Compare Rational number Irrational number Approximate Order Number line

Math – Algebra I


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NO2B

Standard Describe the effects of operations, such as multiplication, division, and computing powers and roots on the magnitude of quantities.

The What Mathematical operations Magnitude of quantities

The How (DOK) Describe Compute

Kid Friendly Objective 1. I will describe the effects of multiplication and division on the magnitude of

quantities. 2. I will describe the effects of computing powers and roots on the magnitude of

quantities.

Activity Students will complete tables of values comparing what happens when numbers are multiplied, divided, raised to powers, or find the root.

Activity Given cards with algebraic expressions in the form y = axn (including rational coefficents and exponents), students will simplify the expressions with different values for the variables and then place the cards in order from least to greatest. Repeat the activity with more values for the variables.

Activity Inside/Outside circles with notecards. Notecards have various expressions involving multiplication, division, exponents, and roots. Teacher will give a value to substitute, students will compute, then compare quantities.

Assessment of Kid Friendly Objectives Using a graphing calculator, students will describe the graphs of linear functions in the form y = ax as the value of the coefficient changes. Students will also compare the graphs of quadratic equations in the form y = xn as the value of n changes, including rational exponents.

Academic Vocabulary Operations Multiplication Division Computing powers Computing roots Magnitude of quantities

Math – Algebra I


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GS4B

Standard Draw or use visual models to represent and solve problems.

The What Visual models Problems

The How (DOK) Draw Use Represent Solve

Kid Friendly Objective I will draw or use visual models to represent and solve problems.

Activity Students will use a graph or the table on a graphing calculator to find the solution of a linear equation.

Activity On white boards in pairs, students will draw a diagram, label, write an equation and solve for missing measurements of a rectangle or square.

Activity Given a visual model, students will label the knowns and unknowns on the diagram and write a verbal model of the situation.

Assessment of Kid Friendly Objectives Students will draw a visual model to determine measurements for the layout of a yearbook, newspaper, or scrapbook page.

Academic Vocabulary Draw Visual models Represent Solve

Math – Algebra I


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AR1E

Standard Describe the effects of parameter changes on linear, exponential growth/decay and quadratic functions including intercepts.

The What Parameter changes

The How (DOK) Describe

Kid Friendly Objective 1. I will describe the effects of parameter changes on linear functions. 2. I will describe the effects of parameter changes on exponential growth/decay

functions. 3. I will describe the effects of parameter changes on quadratic functions.

Activity Given various quadratic functions determine the vertex, direction of opening, whether the graph is wide or narrow, and the intercepts.

Activity Give groups of students different exponential growth or decay functions to graph on a graphing calculator and compare with other groups.

Activity Given various linear functions determine the x- and y-intercepts and whether the line rises or falls.

Assessment of Kid Friendly Objectives Given graphs of various functions students will describe in writing shapes based on the equations.

Academic Vocabulary Parameter changes Linear functions Exponential growth/decay functions Quadratic functions Intercepts

Math – Algebra I


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DP1A

Standard Formulate questions and collect data about a characteristic which include sample spaces and distributions.

The What Data Sample spaces Distributions

The How (DOK) Formulate Collect

Kid Friendly Objective 1. I will formulate questions about a characteristic which include sample spaces

and distributions. 2. I will collect data about a characteristic which include sample spaces and

distributions.

Activity Have each student wear or bring sneakers to class. Weigh each pair and find the distributions.

Activity M&M activity: Divide into groups, count number of each color of M&M in a package. Place information from each group on the board and have each group find the various distributions for each color.

Activity Discuss topics which have data that can be represented with various distributions (mean, median, quartiles, range).

Assessment of Kid Friendly Objectives The student will choose a topic from which data can be collected, formulate an appropriate question to gather the data needed.

Academic Vocabulary Formulate Collect Data Characteristic Sample space Distributions

Math – Algebra I


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AR1B

Standard Generalize patterns using explicitly or recursively defined functions.

The What • Patterns • Explicitly defined

functions • Recursively defined

functions

The How (DOK) Generalize Using

Kid Friendly Objective 1. I will generalize patterns using explicitly defined functions. 2. I will generalize patterns using recursively defined functions.

Activity Use the description to write “next = now” equations, then write with variable notation. (Lesson 1)

Activity Given several patterns, practice extending the pattern, then describing it. (See www.dese.mo.gov→model curriculum units, High School Lesson 4)

Activity Make tables from sequences using the term number and term to practice writing equations.

Assessment of Kid Friendly Objectives With a partner, the student will determine which employment plan is better after 30 years of employment, supporting work with a graph and generalized pattern for each plan. (www.dese.mo.gov→model curriculum unit→HS summative assessment)

Academic Vocabulary Generalize Explicitly defined functions Recursively defined functions

Math – Algebra I


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DP2C

Standard Given a scatterplot, determine an equation for a line of best fit.

The What Scatterplot Line of best fit

The How (DOK) Determine

Kid Friendly Objective I will use a scatterplot to determine an equation for a line of best fit.

Activity Using the drawn line, choose two points and write the equation in slope-intercept form.

Activity Given a scatterplot,, draw the line of best fit (with a ruler) so that approximately half the points are above the line and half are below.

Activity Use a graphing calculator to find the line of best fit and discuss the slope and y-intercept.

Assessment of Kid Friendly Objectives Given a variety of scatterplots, write an equation to determine a line of best fit for each scatterplot.

Academic Vocabulary Scatterplot Equation Line of best fit

Math – Algebra I


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dp

Standard Select and use appropriate graphical representation of data and given one-variable quantitative data, display the distribution and describe its shape.

The What Graphical representation One-variable quantitative data

The How (DOK) Select Use Display Describe

Kid Friendly Objective 1. I will select and use appropriate graphical representation of data. 2. I will display the distribution and describe its shape, given one-variable

quantitative data.

Activity Choose appropriate graph to display sneaker weights from previous activity.

Activity Choose appropriate graph to display M&M information from previous activity.

Activity Illustrate each type of graph (line, bar, circle, box-and-whisker). Discuss when to use each. Use some real life examples of graphs to discuss information displayed.

Assessment of Kid Friendly Objectives The student will choose the appropriate graph to display provided data. The student will describe the shape of distribution (skewed, bell-shaped, etc.)

Academic Vocabulary Graphical representation One-variable quantitative data Distribution Shape Skewed Bell-shaped curve

Math – Algebra I


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AR3A

Standard Identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem.

The What Quantitative relationships Functions

The How (DOK) Identify Determine Solve Model

Kid Friendly Objective 1. I will identify quantitative relationships. 2. I will determine the type(s) of functions that might model the situation to solve

the problem.

Activity

Activity Given a set of data, students will determine if the data represents a linear, exponential, or quadratic function.

Activity Given several graphs, students will use the vertical line test to determine if the graph represents a function.

Assessment of Kid Friendly Objectives Students will write a paragraph about three different types of functions (linear, exponential, and quadratic) giving a real-life example of each and determine a graph to model it.

Academic Vocabulary Quantitative relationships Types of functions (linear, quadratic, exponential)

Math – Algebra I


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NO3D

Standard Judge the reasonableness of numerical computations and their results.

The What Reasonableness of numerical computations

The How (DOK) Judge

Kid Friendly Objective 1. I will judge the reasonableness of numerical computations. 2. I will judge the reasonableness of the results of numerical computations.

Activity Check the solution by substituting the value back into the original equation.

Activity Use a graphing calculator to solve equations with variables on both sides of the equal sign by placing y1=left side and y2=right side and finding the x-value of the point of intersection.

Activity Given algebraic expressions and variable values, students will use substitution to evaluate the expression.

Assessment of Kid Friendly Objectives Given several different types of equations, students will solve and judge their solutions.

Academic Vocabulary Judge Reasonableness Numerical computations Results

Math – Algebra I


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M2D

Standard Describe the effects of operations, such as multiplication, division and computing powers and roots on magnitudes of quantities and effects of computation on precision which include the judging of reasonableness of numerical computations and their result.

The What • Effects of operations on

magnitudes of quantities

• Effects of computation on precision

The How (DOK) Describe Judge

Kid Friendly Objective 1. I will describe the effects of operations such as multiplication and division on

magnitudes of quantities. 2. I will describe the effects of operations such as computing powers and roots on

magnitudes of quantities. 3. I will describe the effects of computation on precision. 4. I will judge the reasonableness of numerical computations and their results.

Activity Discuss as a class real life situations where rounding could effect the accuracy of results.

Activity Work with a partner to solve the same decimal equation separately. One partner rounds in intermediate steps. The other rounds only in the last step. Compare answers and discuss accuracy.

Activity Practice rounding numbers to specific place values.

Assessment of Kid Friendly Objectives Use the formulas for exponential growth and decay to solve problems and determine appropriate place value to round the answer. The student will judge the reasonableness of the answer.

Academic Vocabulary Effects Operations Powers Roots Magnitudes Quantities Computation Reasonableness Precision

Math – Algebra I


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DP3A

Standard Make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data.

The What Conjectures Scatter plots

The How (DOK) Make

Kid Friendly Objective I will make conjectures about possible relationships between two characteristics of a sample on the basis of scatter plots of the data.

Activity Identify scatterplots in which no correlation is present and predict other sets of data where this would occur.

Activity Illustrate the connection between negative slope and negative correlation. (As one value increases, the other value decreases.)

Activity Illustrate the connection between positive slope and positive correlation. (As one value increases, the other value increases or as one decreases the other decreases.)

Assessment of Kid Friendly Objectives Given a variety of scatterplots, draw conclusions and make the correlations between the data represented.

Academic Vocabulary Conjectures Relationships Correlation Characteristics Sample Positive correlation Scatter plots Data Negative correlation

Math – Algebra I


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AR2B

Standard Describe and use algebraic manipulations, including factoring and rules of integer exponents and apply properties of exponents (including order of operations) to simplify expressions.

The What Algebraic manipulations Factoring Rules of exponents Order of operations

The How (DOK) Describe Use Apply Simplify

Kid Friendly Objective 1. I will describe and use algebraic manipulations, including factoring and rules of

integer exponents, to simplify expressions. 2. I will apply properties of exponents, including order of operations, to simplify

expressions.

Activity Think-Pair-Share: Given a complex algebraic expression, simplify it then explain step by step to a partner. Then switch.

Activity Take turns going to the board or using white boards to practice simplifying expressions.

Activity Work in small groups to expand multiplication of powers. Then condense using the product powers or power of a power property.

Assessment of Kid Friendly Objectives 1. Given a complex algebraic expression, the student will create a poster simplifying the expression with an explanation of each step.

Academic Vocabulary Algebraic manipulations Factoring Rules of integer exponents Properties of exponents Expressions

Math – Algebra I


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Activity Use small white boards in groups to simplify algebraic expression problems with variables.

Activity Practice simple order or operation problems without variables.

Activity Review acronym PEMDAS (Please Excuse My Dear Aunt Sally).

Assessment of Kid Friendly Objectives 2. Create ten problems that use order of operations and simplify each problem, showing each step in the process.

Math – Algebra I


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AR2C

Standard Use and solve equivalent forms of equations (linear, absolute value, and quadratic).

The What Equivalent forms of equations

The How (DOK) Use Solve

Kid Friendly Objective 1. I will use and solve equivalent forms of linear equations. 2. I will use and solve equivalent forms of absolute value equations. 3. I will use and solve equivalent forms of quadratic equations.

Activity Use the unknowns (represented by manipulatives) to set up an equation with given information. Then translate to paper and solve.

Activity Use manipulatives to represent the unknowns, then translate to using a variable on paper.

Activity Use candy activity to show how an equation must be balanced when solving.

Assessment of Kid Friendly Objectives 1. The student will write and solve equations involving problems about consecutive numbers. (Linear)

Academic Vocabulary Equivalent forms Equations Linear equations Absolute value equations Quadratic equations

Math – Algebra I


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Activity Give the first person in each row an absolute value equation. That person completes the first step, passes it back to next person who must check the work and complete the next step, and then pass it to the next person and so on until the problem is complete.

Activity With a partner, practice setting up absolute value equations to solve.

Activity Use a number line to solve basic absolute value equations.

Assessment of Kid Friendly Objectives 2. The student will use a complex absolute value equation (with variables on both sides of equation) to set up two separate equations, then solve showing the solution on a number line. (Absolute Value)

Activity Conduct a class “American Idol” contest to learn or make up tunes for a quadratic formula song.

Activity Use “Chutes and Ladders” modified to review factoring quadratics, then solve the equations.

Activity Use a graphing calculator to solve a quadratic equation by finding the x-intercepts.

Assessment of Kid Friendly Objectives 3. The student will write and solve equations involving problems about consecutive numbers. (Quadratic)

Math – Algebra I


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AR2A

Standard Use symbolic algebra to represent and solve problems that involve linear and quadratic relationships including equations and inequalities.

The What • Symbolic algebra • Linear and quadratic

relationships • Equations and

inequalities

The How (DOK) Use Represent Solve

Kid Friendly Objective 1. I will use symbolic algebra to represent and solve linear equations. 2. I will use symbolic algebra to represent and solve linear inequalities. 3. I will use symbolic algebra to represent and solve quadratic equations. 4. I will use symbolic algebra to represent and solve quadratic inequalities.

Assessment of Kid Friendly Objectives 1. Given information about cost of an item, sales tax, and amount already saved, students will determine how long it will take to save enough money to buy the item by representing the problem as an algebraic equation and solving it. (Yo-yo problem) (http://www.pbs.org/teachers/mathline/lessonplans/pdf/hsmp/yoyopdf)

Academic Vocabulary Symbolic algebra Linear and quadratic relationships Equations Inequalities

Math – Algebra I


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Activity Use algebra tiles to represent given equations. Rotate between groups or pairs solving using the tiles and symbols.

Activity Using 31 pennies (see website), create a table of values – n for stage number, p for number of pennies. Then have groups determine an algebraic rule representing the relationship.

Activity In groups of 2 or 3, have students use prepared lids with digits (0-9) and mathematical operations (+, -, x, ÷ ) to create expressions and equations, then solve the equations. (Mathematical Translations) (http://www.learnnc.org/lp/pages/2901)

Activity Use maximum and minimum speed limit signs or different movie ticket prices to write combined inequalities.

Activity Graph linear equations in two variables by using slope-intercept form and the x- and y-intercepts. Then change the equation into an inequality and discuss finding the solution set.

Activity Given several one-variable inequalities, solve and graph on a number line.

Assessment of Kid Friendly Objectives 2. Students will create a poster or brochure showing the steps of solving one variable, combined, absolute value, and two-variable linear inequalities with at least one real world application problem.

Activity Use “Hitting a Homerun with Algebra” to work in groups to solve a sports problem with a quadratic equation. (http://www.indianastandardsresources.org/lesson.asp?1D=195)

Activity Use revised “Chutes and Ladders” game board to review solving quadratic equations using the various methods.

Activity As a class, use a K-W-L chart to discuss quadratic equations and parabolas.

Assessment of Kid Friendly Objectives 3. In groups of three, students will write a quadratic equation to represent various sporting events (long jump, hitting a golf ball, kicking a football, etc.) and solve it.

Math – Algebra I


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Activity Use SMARTBoard or overhead to show several graphs and match to appropriate quadratic inequality.

Activity Compare inequality symbols and what they mean to that of linear inequalities.

Activity Given various quadratic equations find the vertex of the parabola that represents each.

Assessment of Kid Friendly Objectives 4. Given any quadratic inequality, students will graph the inequality and solve for the solution set.

Math – Algebra I


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NO3E

Standard Solve problems involving proportions.

The What Proportions

The How (DOK) Solve

Kid Friendly Objective I will solve problems involving proportions.

Activity Set up and solve proportions to adjust the recipe to accommodate a larger number of people.

Activity Set up and solve proportions to adjust the recipe given that there is not enough of one of the ingredients.

Activity Practice solving proportions (cross-multiply) when one or more parts of the ratio is an expression.

Assessment of Kid Friendly Objectives Given a recipe, use proportions to increase or decrease the amounts of each ingredient.

Academic Vocabulary Solve Problems Proportions

Math – Algebra I


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AR2D

Standard Use and solve systems of linear equations or inequalities with 2 variables.

The What Systems of linear equations or inequalities Variables


Kid Friendly Objective 1. I will use and solve systems of linear equations with two variables. 2. I will use and solve systems of linear inequalities with two variables.

Activity Given a system of linear inequalities, graph each inequality using a primary color (red, blue, yellow). A secondary color (purple, green, orange) will be created which will be the solution to the system.

Activity Given a system of linear equations, use a graphing calculator to find the point of intersection. Then solve by substitution or elimination to verify the point.

Activity Write and solve a system of linear equations to represent two different cell phone plans.

Assessment of Kid Friendly Objectives 1. Given a system of linear equations, create a poster or booklet solving the system by

graphing, substitution, and elimination (linear combination) describing each step of the process.

2. Create a flag using a system of linear inequalities.

Academic Vocabulary Systems of linear equations Systems of linear inequalities Variables

Math – Algebra I


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NO1B

Standard Use real numbers and various models, drawing, etc. to solve problems.

The What Real numbers Models Drawing


Kid Friendly Objective 1. I will use real numbers to solve problems. 2. I will use various models, such as drawings, to solve problems.

Activity Given information about two different club memberships, write a verbal model to determine the better cost.

Activity Give labels to the verbal model, then write an algebraic model and solve.

Activity Given a word problem involving distance, write a verbal model using the specifics of the problem.

Assessment of Kid Friendly Objectives Given any word problem, the student will use a verbal model and/or diagram to represent the problem and solve it.

Academic Vocabulary Real numbers Models Drawing

Math – Algebra I


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M2E

Standard Use unit analysis to solve problems.

The What Unit analysis


Kid Friendly Objective I will use unit analysis to solve problems.

Activity Work in pairs using unit analysis to find toxic dose of bottled water and caffeine as given in problem at website (http://pulse.pharmacy.arizona.edu/math/portion_poison.html).

Activity Work through, as a class, amount of malonaldehyde in turkey that would need to be ingested to be toxic. Use information from website (http://pulse.pharmacy.arizona.edu/math/portion_poison.html).

Activity Use white boards in pairs to practice converting units of length using unit analysis.

Assessment of Kid Friendly Objectives The student will use unit analysis to solve the amount of everyday food products or liquids that would need to be consumed to become toxic by choosing three items from the menu at the website (http://www.achs.org/publications/pubID.103/pub_detail.asp).

Academic Vocabulary Unit analysis Solve Problems

Math – Algebra I


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NO1C

Standard Use a variety of representations to demonstrate an understanding of very large and very small numbers.

The What Very large numbers Very small numbers

The How (DOK) Use Demonstrate

Kid Friendly Objective 1. I will use a variety of representations to demonstrate my understanding of very

large numbers. 2. I will use a variety of representations to demonstrate my understanding of very

small numbers.

Activity Given a large number, write its prime factorization using exponents.

Activity Convert decimals to their fraction equivalents and vice versa.

Activity Practice converting numbers between standard and scientific notation.

Assessment of Kid Friendly Objectives Represent the distances of each planet to the sun in scientific notation and place these representations in order from least to greatest. Represent sizes of scientific prefixes (nano, micro, macro, etc.) in scientific notation. The student will demonstrate an understanding of the representations by placing them in order from least to greatest.

Academic Vocabulary Variety Representations Very large numbers Very small numbers Scientific notation Exponents

Math – Algebra I


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AR1D

Standard Understand and compare the properties of linear and nonlinear functions.

The What Properties of linear and nonlinear functions

The How (DOK) Understand Compare

Kid Friendly Objective 1. I will understand the properties of linear functions. 2. I will understand the properties of nonlinear functions. 3. I will compare the properties of linear and nonlinear functions.

Activity Compare the two previous functions and describe their key properties.

Activity Survey the class on foot length and forearm length. Graph the information and determine what type of function it is.

Activity Make a table comparing the number of chambers in a chambered nautilus and the volume in cubic centimeters of each chamber. Graph and determine what type of function it is.

Assessment of Kid Friendly Objectives Given several functions (some graphs, some equations), the student will understand if the function is linear or nonlinear and compare the results.

Academic Vocabulary Linear functions Nonlinear functions Properties

Documents

INSTRUCTIONAL DESIGN FRAMEWORKmo01001301.schoolwires.net/cms/lib01/MO01001301/Centricity/Domain/39/... · - 1 - INSTRUCTIONAL DESIGN FRAMEWORK . AR4A . equations by changing . intercepts,