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9-12 Algebra 1 Unit 7

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

•Algebra 1 Geometry Algebra 2 Extra Support Materials for Algebra 1

Unit

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

Modeling Prompts

K-5
6-8
9-12

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

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

Modeling Prompts

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Unit 7

Student Learning Targets

Algebra 1

Section AA Different Kind of Change

1

A Different Kind of Change

I can create drawings, tables, and graphs that represent the area of a garden.
I can recognize a situation represented by a graph that increases and then decreases.

2

How Does It Change?

I can describe how a pattern is growing.
I can tell whether a pattern is growing linearly, exponentially, or quadratically.
I know a quadratic expression has a squared term.

Section BQuadratic Functions

Section CWorking with Quadratic Expressions

Section DFeatures of Graphs of Quadratic Functions

Unit 7 Resources

Student Materials Student Materials in Spanish

3

Building Quadratic Functions from Geometric Patterns

I can explain using graphs, tables, or calculations that exponential functions eventually grow faster than do quadratic functions.
I can recognize quadratic functions written in different ways.
I can use information from a pattern of shapes to write a quadratic function.

4

Comparing Quadratic and Exponential Functions

I can explain using graphs, tables, or calculations that exponential functions eventually grow faster than do quadratic functions.

5

Building Quadratic Functions to Describe Situations (Part 1)

I can explain the meaning of the terms in a quadratic expression that represents the height of a falling object.
I can use tables, graphs, and equations to represent the height of a falling object.

6

Building Quadratic Functions to Describe Situations (Part 2)

I can create quadratic functions and graphs that represent a situation.
I can relate the vertex of a graph and the zeros of a function to a situation.
I know that the domain of a function can depend on the situation it represents.

7

Building Quadratic Functions to Describe Situations (Part 3)

I can choose a domain that makes sense in a revenue situation.
I can model revenue with quadratic functions and graphs.
I can relate the vertex of a graph and the zeros of a function to a revenue situation.

11

Graphing from the Factored Form

I can graph a quadratic function given in factored form.
I know how to find the vertex and -intercept of the graph of a quadratic function in factored form without graphing it first.

12

Graphing the Standard Form (Part 1)

I can explain how the and in affect the graph of the equation.

13

Graphing the Standard Form (Part 2)

I can explain how the in affects the graph of the equation.

14

Graphs That Represent Situations

I can explain how a quadratic equation and its graph relate to a situation.

15

Vertex Form

I can recognize the “vertex form” of a quadratic equation.
I can relate the numbers in the vertex form of a quadratic equation to its graph.

16

Graphing from the Vertex Form

I can graph a quadratic function given in vertex form, showing a maximum or minimum and the -intercept.
I know how to find a maximum or a minimum of a quadratic function given in vertex form without first graphing it.

17

Changing the Vertex

I can describe how changing a number in the vertex form of a quadratic function affects its graph.

I understand how graphs, tables, and equations that represent the same quadratic function are related.

I can match equations given in standard and factored form with their graph.

8

Equivalent Quadratic Expressions

I can rewrite quadratic expressions in different forms by using an area diagram or the distributive property.

9

Standard Form and Factored Form

I can rewrite quadratic expressions given in factored form in standard form, using either the distributive property or a diagram.
I know the difference between “factored form” and “standard form.”

10

Graphs of Functions in Standard and Factored Forms

I can explain the meaning of the intercepts on a graph of a quadratic function in terms of the situation it represents.
I know how the numbers in the factored form of a quadratic expression relate to the intercepts of its graph.