Unit 7

Introduction to Quadratic Functions

Section A

A Different Kind of Change

1

A Different Kind of Change

Let’s find the rectangle with the greatest area.

2

How Does It Change?

Let’s describe some patterns of change.

Section A

A Different Kind of Change

1

A Different Kind of Change

Let’s find the rectangle with the greatest area.

2

How Does It Change?

Let’s describe some patterns of change.

Section B

Quadratic Functions

3

Building Quadratic Functions from Geometric Patterns

Let’s describe some other geometric patterns.

4

Comparing Quadratic and Exponential Functions

Let’s compare quadratic and exponential changes and see which one grows faster.

5

Building Quadratic Functions to Describe Situations (Part 1)

Let’s measure falling objects.

6

Building Quadratic Functions to Describe Situations (Part 2)

Let’s look at the objects being launched in the air.

7

Building Quadratic Functions to Describe Situations (Part 3)

Let’s look at how to maximize revenue.

Section B

Quadratic Functions

1

Building Quadratic Functions from Geometric Patterns

Let’s describe some other geometric patterns.

2

Comparing Quadratic and Exponential Functions

Let’s compare quadratic and exponential changes and see which one grows faster.

3

Building Quadratic Functions to Describe Situations (Part 1)

Let’s measure falling objects.

4

Building Quadratic Functions to Describe Situations (Part 2)

Let’s look at the objects being launched in the air.

5

Building Quadratic Functions to Describe Situations (Part 3)

Let’s look at how to maximize revenue.

Section C

Working with Quadratic Expressions

8

Equivalent Quadratic Expressions

Let’s use diagrams to help us rewrite quadratic expressions.

9

Standard Form and Factored Form

Let’s write quadratic expressions in different forms.

10

Graphs of Functions in Standard and Factored Forms

Let’s find out what quadratic expressions in standard and factored forms can reveal about the properties of their graphs.

Section C

Working with Quadratic Expressions

1

Equivalent Quadratic Expressions

Let’s use diagrams to help us rewrite quadratic expressions.

2

Standard Form and Factored Form

Let’s write quadratic expressions in different forms.

3

Graphs of Functions in Standard and Factored Forms

Let’s find out what quadratic expressions in standard and factored forms can reveal about the properties of their graphs.

Section D

Features of Graphs of Quadratic Functions

11

Graphing from the Factored Form

Let’s graph some quadratic functions in factored form.

12

Graphing the Standard Form (Part 1)

Let’s see how the numbers in expressions like affect their graph.

13

Graphing the Standard Form (Part 2)

Let’s change some other parts of a quadratic expression and see how they affect its graph.

14

Graphs That Represent Situations

Let’s examine graphs that represent the paths of objects being launched into the air.

15

Vertex Form

Let’s find out about the vertex form.

16

Graphing from the Vertex Form

Let’s graph equations in vertex form.

17

Changing the Vertex

Let’s write new quadratic equations in vertex form to produce certain graphs.

Section D

Features of Graphs of Quadratic Functions

1

Graphing from the Factored Form

Let’s graph some quadratic functions in factored form.

2

Graphing the Standard Form (Part 1)

Let’s see how the numbers in expressions like affect their graph.

3

Graphing the Standard Form (Part 2)

Let’s change some other parts of a quadratic expression and see how they affect its graph.

4

Graphs That Represent Situations

Let’s examine graphs that represent the paths of objects being launched into the air.

5

Vertex Form

Let’s find out about the vertex form.

6

Graphing from the Vertex Form

Let’s graph equations in vertex form.

7

Changing the Vertex

Let’s write new quadratic equations in vertex form to produce certain graphs.

Section A

A Different Kind of Change

1

A Different Kind of Change

Let’s find the rectangle with the greatest area.

2

How Does It Change?

Let’s describe some patterns of change.

Section C

Working with Quadratic Expressions

8

Equivalent Quadratic Expressions

Let’s use diagrams to help us rewrite quadratic expressions.

9

Standard Form and Factored Form

Let’s write quadratic expressions in different forms.

10

Graphs of Functions in Standard and Factored Forms

Let’s find out what quadratic expressions in standard and factored forms can reveal about the properties of their graphs.

Section D

Features of Graphs of Quadratic Functions

11

Graphing from the Factored Form

Let’s graph some quadratic functions in factored form.

12

Graphing the Standard Form (Part 1)

Let’s see how the numbers in expressions like affect their graph.

13

Graphing the Standard Form (Part 2)

Let’s change some other parts of a quadratic expression and see how they affect its graph.

14

Graphs That Represent Situations

Let’s examine graphs that represent the paths of objects being launched into the air.

15

Vertex Form

Let’s find out about the vertex form.

16

Graphing from the Vertex Form

Let’s graph equations in vertex form.

17

Changing the Vertex

Let’s write new quadratic equations in vertex form to produce certain graphs.

Section B

Quadratic Functions

3

Building Quadratic Functions from Geometric Patterns

Let’s describe some other geometric patterns.

4

Comparing Quadratic and Exponential Functions

Let’s compare quadratic and exponential changes and see which one grows faster.

5

Building Quadratic Functions to Describe Situations (Part 1)

Let’s measure falling objects.

6

Building Quadratic Functions to Describe Situations (Part 2)

Let’s look at the objects being launched in the air.

7

Building Quadratic Functions to Describe Situations (Part 3)

Let’s look at how to maximize revenue.

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Introduction to Quadratic Functions

Unit 7 Resources

A Different Kind of Change

A Different Kind of Change

How Does It Change?

A Different Kind of Change

A Different Kind of Change

How Does It Change?

Quadratic Functions

Building Quadratic Functions from Geometric Patterns

Comparing Quadratic and Exponential Functions

Building Quadratic Functions to Describe Situations (Part 1)

Building Quadratic Functions to Describe Situations (Part 2)

Building Quadratic Functions to Describe Situations (Part 3)

Quadratic Functions

Building Quadratic Functions from Geometric Patterns

Comparing Quadratic and Exponential Functions

Building Quadratic Functions to Describe Situations (Part 1)

Building Quadratic Functions to Describe Situations (Part 2)

Building Quadratic Functions to Describe Situations (Part 3)

Working with Quadratic Expressions

Equivalent Quadratic Expressions

Standard Form and Factored Form

Graphs of Functions in Standard and Factored Forms

Working with Quadratic Expressions

Equivalent Quadratic Expressions

Standard Form and Factored Form

Graphs of Functions in Standard and Factored Forms

Features of Graphs of Quadratic Functions

Graphing from the Factored Form

Graphing the Standard Form (Part 1)

Graphing the Standard Form (Part 2)

Graphs That Represent Situations

Vertex Form

Graphing from the Vertex Form

Changing the Vertex

Features of Graphs of Quadratic Functions

Graphing from the Factored Form

Graphing the Standard Form (Part 1)

Graphing the Standard Form (Part 2)

Graphs That Represent Situations

Vertex Form

Graphing from the Vertex Form

Changing the Vertex

A Different Kind of Change

A Different Kind of Change

How Does It Change?

Working with Quadratic Expressions

Equivalent Quadratic Expressions

Standard Form and Factored Form

Graphs of Functions in Standard and Factored Forms

Features of Graphs of Quadratic Functions

Graphing from the Factored Form

Graphing the Standard Form (Part 1)

Graphing the Standard Form (Part 2)

Graphs That Represent Situations

Vertex Form

Graphing from the Vertex Form

Changing the Vertex

Quadratic Functions

Building Quadratic Functions from Geometric Patterns

Comparing Quadratic and Exponential Functions

Building Quadratic Functions to Describe Situations (Part 1)

Building Quadratic Functions to Describe Situations (Part 2)

Building Quadratic Functions to Describe Situations (Part 3)