Navigation

9-12 Algebra 1 Unit 8 Lesson 12

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

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 8, Lesson 12

Completing the Square (Part 1)

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.

to access Practice Problem Solutions.

Problem 2

Student Task Statement

Mai is solving the equation . She writes:

Jada looks at Mai’s work and is confused. She doesn’t see how Mai got her answer.

Complete Mai’s missing steps to help Jada see how Mai solved the equation.

to access Practice Problem Solutions.

Problem 3

Student Task Statement

Match each equation to an equivalent equation with a perfect square on one side.

to access Practice Problem Solutions.

Problem 4

Student Task Statement

Solve each equation by completing the square.

to access Practice Problem Solutions.

Problem 5

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

Student Task Statement

Rewrite each expression in standard form.

to access Practice Problem Solutions.

Problem 6

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

Student Task Statement

To find the product without a calculator, Priya wrote . Very quickly, and without writing anything else, she arrived at 39,991. Explain how writing the two factors as a sum and a difference may have helped Priya.

to access Practice Problem Solutions.

Problem 7

ForLesson 5: Building Quadratic Functions to Describe Situations (Part 1)

Student Task Statement

A basketball is dropped from the roof of a building, and its height, in feet, is modeled by the function .

Here is a graph representing .

Select all the true statements about this situation.

<p>Curve on grid. Horizontal axis, time in seconds, 0 to 2. Vertical axis, height in feet, 0 to 60. Curve starts at 0 comma 50. Decreases down and to the right. Hits horizontal axis near 1 point 7 5.</p>

When , the height is 0 feet.

to access Practice Problem Solutions.

Problem 8

ForLesson 13: Absolute Value Functions (Part 1)

Student Task Statement

A group of students are guessing the number of paper clips in a small box.

The guesses and the guessing errors are plotted on a coordinate plane.

What is the actual number of paper clips in the box?

<p>horizontal axis, guess. scale 0 to 32, by 4's. vertical axis, absolute guessing error. scale 0 to 12, by 2's. </p>

to access Practice Problem Solutions.

Lesson 12 Resources

Student Materials Student Materials in Spanish

The basketball falls at a constant speed.

The expression that defines is linear.

The expression that defines is quadratic.

When , the ball is about 50 feet above the ground.

The basketball lands on the ground about 1.75 seconds after it is dropped.