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9-12 Algebra 1 Unit 8 Lesson 13

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
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

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Unit 8, Lesson 13

Completing the Square (Part 2)

Algebra 1

Practice

Problem 1
Student Task Statement
Add the number that would make the expression a perfect square. Next, write an equivalent expression in factored form.

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Problem 2

Student Task Statement

Noah is solving the equation . He begins by rewriting the expression on the left in factored form and writes . He does not know what to do next.

Noah knows that the solutions are and , but is not sure how to get to these values from his equation.

Solve the original equation by completing the square.

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Problem 3

Student Task Statement

An equation and its solutions are given. Explain or show how to solve the equation by completing the square.

. The solutions are and .
. The solutions are and .
. The solutions are and .

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Problem 4

Student Task Statement

Solve each equation.

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Problem 5

ForLesson 8: Rewriting Quadratic Expressions in Factored Form (Part 3)

Student Task Statement

Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.

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Problem 6

ForLesson 9: Solving Quadratic Equations by Using Factored Form

Student Task Statement

Four students solved the equation . Their work is shown here. Only one student solved it correctly.

Student A:

Student B:

Student C:

Student D:

Determine which student solved the equation correctly. For each of the incorrect solutions, explain the mistake.

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Lesson 13 Resources

Student Materials Student Materials in Spanish