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9-12 Integrated Math 1 Unit 8

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K-5 Math 6-8 Math •9-12 Math

Course

•Integrated Math 1 Integrated Math 2 Integrated Math 3

Unit

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 •Unit 8 Unit 9

Modeling Prompts

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9-12

Integrated Math 1
Integrated Math 2
Integrated Math 3

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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Unit 8

Student Learning Targets

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Integrated Math 1

Section AFunctions and Their Representations

1

Describing and Graphing Situations

I can explain when a relationship between two quantities is a function.
I can identify independent and dependent variables in a function and use words and graphs to represent the function.
I can make sense of descriptions and graphs of functions and explain what they tell us about situations.

2

Function Notation

I can use function notation to express functions that have specific inputs and outputs.
I understand what function notation is and why it exists.
When given a statement written in function notation, I can explain what it means in terms of a situation.

3

Interpreting and Using Function Notation

I can describe the connections between a statement in function notation and the graph of the function.
I can use function notation to efficiently represent a relationship between two quantities in a situation.
I can use statements in function notation to sketch a graph of a function.

Section BAnalyzing and Creating Graphs of Functions

Section CA Closer Look at Inputs and Outputs

Section DAbsolute Value

Section EInverse Functions

Section FLet's Put It to Work

4

Using Function Notation to Describe Rules (Part 1)

I can make sense of rules of functions when they are written in function notation, and create tables and graphs to represent the functions.
I can write equations that represent the rules of functions.

5

Using Function Notation to Describe Rules (Part 2)

I can use technology to graph a function given in function notation and use the graph to find the values of the function.
I know different ways to find the value of a function and to solve equations written in function notation.
I know what makes a function a linear function.

6

Features of Graphs

I can identify important features of graphs of functions and explain what they mean in the situations represented.
I understand and can use the terms “horizontal intercept,” “vertical intercept,” “maximum,” and “minimum” when talking about functions and their graphs.

7

Using Graphs to Find Average Rate of Change

I understand the meaning of the term “average rate of change.”
When given a graph of a function, I can estimate or calculate the average rate of change between two points.

8

Interpreting and Creating Graphs

I can explain the average rate of change of a function in terms of a situation.
I can make sense of important features of a graph and explain what they mean in a situation.
When given a description or a visual representation of a situation, I can sketch a graph that shows important features of the situation.

9

Comparing Graphs

I can compare the features of graphs of functions and explain what they mean in the situations represented.
I can make sense of an equation of the form in terms of a situation and a graph, and know how to find the solutions.

13

Absolute Value Functions (Part 1)

Given a set of numerical guesses and a target number, I can calculate absolute errors and create a scatter plot of the data.
I can analyze and describe features of a scatter plot that shows absolute error data.
I can describe the general relationship between guesses and absolute errors using words or equations.

14

Absolute Value Functions (Part 2)

I can describe the effects of adding a number to the expression that defines an absolute value function.
I can explain the meaning of absolute value function in terms of distance.
When given an absolute value function in words or in function notation, I can make sense of it and create a table of values and a graph to represent it.

15

Solving Equations with Absolute Values

I can solve equations that include absolute values.

16

Solving Inequalities with Absolute Values

I can solve absolute value inequalities by reasoning about distance on a number line.

20

Using Functions to Model Battery Power

I can write a function to describe a situation and make predictions.

I can make sense of statements about two or more functions when they are written in function notation.

10

Domain and Range (Part 1)

I know what is meant by the “domain” and “range” of a function.
When given a description of a function in a situation, I can determine a reasonable domain and range for the function.

11

Domain and Range (Part 2)

When given a description of a function in a situation, I can determine a reasonable domain and range for the function.

12

Piecewise Functions

I can make sense of a graph of a piecewise function in terms of a situation and sketch a graph of the function when the rules are given.
I can make sense of the rules of a piecewise function when they are written in function notation and explain what they mean in the situation represented.
I understand what makes a function a piecewise function.

17

Inverse Functions

I understand the meaning of “inverse function” and how it could be found.
When given a linear function that represents a situation, I can use words and equations to describe the inverse function.

18

Finding and Interpreting Inverse Functions

I can explain the meaning of an inverse function in terms of a situation.
When I have an equation that defines a linear function, I know how to find its inverse.

19

Writing Inverse Functions to Solve Problems

I can write a linear function to model given data and find the inverse of the function.
When given a linear function defined using function notation, I know how to find its inverse.