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9-12 Algebra 1 Unit 8 Lesson 4

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

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

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

Lesson 1
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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

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Unit 8, Lesson 4

Solving Quadratic Equations with the Zero Product Property

Algebra 1

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 .

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Problem 2

Student Task Statement

What are the solutions to the equation ?

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

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Problem 3

Student Task Statement

Solve each equation.

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Problem 4

Student Task Statement

Consider the expressions and .

Show that the two expressions define the same function.

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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.

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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?

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Problem 7

ForLesson 3: Solving Quadratic Equations by Reasoning

Student Task Statement

Select all the solutions to the equation .

49

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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.

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Lesson 4 Resources

Student Materials

7

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