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 and additions to create IM 6–8 Math v.360 Accelerated are ©2025 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 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.

Navigation

6-8 Accelerated 7 Unit 1 Lesson 7

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

Accelerated 6 •Accelerated 7

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

Accelerated 6
Accelerated 7

Grade 6
Grade 7
Grade 8

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

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 1, Lesson 7

Rotation Patterns

Accelerated 7

Practice

Problem 1
Student Task Statement
For the figure shown here,

Rotate segment around point .

Rotate segment around point .

Rotate segment around point .

Lesson 7 Resources

Student Materials Student Materials in Spanish

to access Practice Problem Solutions.

Problem 2

Student Task Statement

Here is an isosceles right triangle. Draw these three rotations of triangle together.

Rotate triangle clockwise around .
Rotate triangle around .
Rotate triangle clockwise around .

Right isosceles triangle A B C has horizonatl side A B with point A to the right of B, and has vertical side B C with point C directly above point B.

to access Practice Problem Solutions.

Problem 3

ForLesson 4: Coordinate Moves

Student Task Statement

Each graph shows two polygons and . In each case, describe a sequence of transformations that takes to .

$<p>Quadrilateral <span class="math" data-png-file-id="11011">\(A \ B\ C\ D\)</span> and its image quadrilateral <span class="math" data-png-file-id="11014">\(A\ prime\ B\ prime\ C\ prime\ D\ prime\)</span> on a coordinate plane, origin <span class="math" data-png-file-id="35">\(O\)</span>.</p>$
<p>Quadrilateral <span class="math" data-png-file-id="11020"></span> and its image quadrilateral <span class="math" data-png-file-id="11022"></span> on a coordinate plane, origin <span class="math" data-png-file-id="35"></span>. Horizontal axis scale negative 5 to 5 by 1’s. Vertical axis scale negative 2 to 3 by 1’s. The coordinates of<span class="math" data-png-file-id="11020"></span> are <span class="math" data-png-file-id="2"></span>(negative 3 comma 3), <span class="math" data-png-file-id="6"></span>(negative 4 comma 1), <span class="math" data-png-file-id="7"></span>(negative 2 comma negative 1)and <span class="math" data-png-file-id="12"></span>(negative 2 comma 2). The coordinates of <span class="math" data-png-file-id="11014"></span> are <span class="math" data-png-file-id="11023"></span>(3 comma 2), <span class="math" data-png-file-id="11028"></span>( 4 comma 0), <span class="math" data-png-file-id="11034"></span>(2 comma negative 2)and <span class="math" data-png-file-id="11018"></span>(2 comma 1).</p>
Quadrilateral A B C D and its image quadrilateral A prime B prime C prime and D on a coordinate plane, origin O. Horizontal axis scale negative 5 to 7 by 1’s. Vertical axis scale negative 1 to 4 by 1’s. The coordinates of A B C D are A(negative 4 comma 1), B(negative 1 comma 0), C(1 comma 3) and D(negative 2 comma 3). The coordinates of A prime B prime C prime D prime are A prime (4 comma 4), B prime (3 comma 1), C prime (6 comma negative 1) and D prime (6 comma 2).

to access Practice Problem Solutions.

Problem 4

ForLesson 3: Making the Moves

Student Task Statement

Lin says that she can map Polygon A to Polygon B using only reflections. Do you agree with Lin? Explain your reasoning.

Two quadrilaterals polygon A and B on a grid.<br>

to access Practice Problem Solutions.