Navigation

6-8 Grade 8 Unit 8 Lesson 7

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

Grade 6 Grade 7 •Grade 8

Unit

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 •Unit 8 Unit 9

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

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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 | 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.

IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is ©2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) . OUR's 6-8 Math Curriculum is available at https://openupresources.org/math-curriculum/ .

Adaptations and updates to IM 6-8 Math v.360 are ©2024 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution-Noncommercial 4.0 International License (CC BY-NC 4.0).

Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set “B”) are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) .

Spanish translation of the “B” assessments are ©2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 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 7

Finding Side Lengths of Triangles

Grade 8

Practice

Problem 1

Student Task Statement

Here is a diagram of an acute triangle and three squares.

An acute triangle with squares along each side of the triangle.

Priya says the area of the large unmarked square is 26 square units because . Do you agree? Explain your reasoning.

Lesson 7 Resources

Student Materials Student Materials in Spanish

to access Practice Problem Solutions.

Problem 2

Student Task Statement

, , and represent the lengths of the three sides of this right triangle.

Right triangle, legs = p, z, hypotenuse = m

Select all the equations that represent the relationship between , , and .

to access Practice Problem Solutions.

Problem 3

Student Task Statement

The lengths of the three sides (in units) are given for several right triangles. For each, write an equation that expresses the relationship between the lengths of the three sides.

10, 6, 8
5,
1, , 6
3,

to access Practice Problem Solutions.

Problem 4

from an earlier course

Student Task Statement

Order the following expressions from least to greatest.

to access Practice Problem Solutions.

Problem 5

ForLesson 4: Rational and Irrational Numbers

Student Task Statement

Which is the best explanation for why is irrational?

is irrational because it is a square root.

to access Practice Problem Solutions.

Problem 6

ForLesson 15: Adding and Subtracting with Scientific Notation

Student Task Statement

A teacher tells her students she is just over 1 and billion seconds old.

Write her age in seconds using scientific notation.
What is a more reasonable unit of measurement for this situation?
How old is she when you use a more reasonable unit of measurement?

to access Practice Problem Solutions.

is irrational because it is less than zero.

is irrational because it is not a whole number.

is irrational because it cannot be written as a positive or negative fraction.