Navigation

9-12 Integrated Math 2 Unit 5 Lesson 4

Gradeband

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

Modeling Prompts

Lesson

Lesson 1 Lesson 2 Lesson 3 •Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22 Lesson 23 Lesson 24

K-5
6-8
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

Modeling Prompts

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19
Lesson 20
Lesson 21
Lesson 22
Lesson 23
Lesson 24

Lesson | Practice | Loading...

Sign in to access protected content and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

Professional Learning

Illustrative Mathematics® has operated as an independent 501(c)3 non-profit organization since 2013.

©2024 Illustrative Mathematics®. Licensed under CC BY-NC 4.0.

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written permission of Illustrative Mathematics.

This site includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Settings

Audience

family

Not all roles available for this page.

Assessment Access

Sign in to view assessments and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

teacher
student
family

Unit 5, Lesson 4

Solving Quadratic Equations with the Zero Product Property

$Course Icon$

Integrated Math 2

Practice

Problem 1

Student Task Statement

If the equation is true, which statement is also true according to the zero product property?

Only .
Either or .
Either or .
Only .

to access Practice Problem Solutions.

Problem 2

Student Task Statement

What are the solutions to the equation ?

-10 and 3
-10 and 9
10 and 3
10 and 9

to access Practice Problem Solutions.

Problem 3

Student Task Statement

Solve each equation.

to access Practice Problem Solutions.

Problem 4

Student Task Statement

Consider the expressions and .

Show that the two expressions define the same function.

to access Practice Problem Solutions.

Problem 5

Student Task Statement

Kiran saw that if the equation is true, then by the zero product property, either is 0 or is 0. He then reasoned that, if is true, then either is equal to 72 or is equal to 72.

Explain why Kiran’s conclusion is incorrect.

to access Practice Problem Solutions.

Problem 6

ForLesson 2: When and Why Do We Write Quadratic Equations?

Student Task Statement

Andre wants to solve the equation . He uses a graphing calculator to graph and and finds that the graphs cross at the points and .

Substitute each -value that Andre found into the expression . Then evaluate the expression.
Why did neither solution make equal exactly 20?

to access Practice Problem Solutions.

Problem 7

ForLesson 3: Solving Quadratic Equations by Reasoning

Student Task Statement

Select all the solutions to the equation .

49

to access Practice Problem Solutions.

Problem 8

ForLesson 2: How Does It Change?

Student Task Statement

Han says this pattern of dots can be represented by a quadratic relationship because the dots are arranged in a square in each step.

<p>Pattern of dots arranged in rectangles. Step 1 has 4 dots. Step 2 has 8 dots. Step 3 has 12 dots. Step 4 has 16 dots.</p>

Do you agree? Explain your reasoning.

to access Practice Problem Solutions.

Lesson 4 Resources

Student Materials

7

-7