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6-8 Accelerated 7 Unit 1

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K-5 Math •6-8 Math 9-12 Math

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Accelerated 6 •Accelerated 7

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

K-5
6-8
9-12

Accelerated 6
Accelerated 7

Grade 6
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Grade 8

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

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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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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).

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Unit 1

Student Learning Targets

Accelerated 7

Section ARigid Transformations

1

Moving in the Plane

I can describe how a figure moves and turns to get from one position to another.

2

Naming the Moves

I can identify corresponding points before and after a transformation.
I know the difference between translations, rotations, and reflections.

3

Making the Moves

I can use grids to carry out transformations of figures.
I can use the terms translation, rotation, and reflection to precisely describe transformations.

4

Coordinate Moves

I can apply transformations to points on a grid if I know their coordinates.

Section BProperties of Rigid Transformations

6

No Bending or Stretching

I can describe the effects of a rigid transformation on the lengths and angles in a polygon.

7

Rotation Patterns

I can describe how to move one part of a figure to another using a rigid transformation.

8

Moves in Parallel

I can describe the effects of a rigid transformation on a pair of parallel lines.
If I have a pair of vertical angles and know the angle measure of one of them, I can find the angle measure of the other.

9

Composing Figures

I can find missing side lengths or angle measures using properties of rigid transformations.

Section CCongruence

Section DAngles in a Triangle

Section EDrawing Polygons with Given Conditions

Section FLet's Put It to Work

Unit 1 Resources

Student Materials

5

Describing Transformations

I can apply transformations to a polygon on a grid if I know the coordinates of its vertices.

10

What Is the Same?

I can decide whether or not two figures are congruent using rigid transformations.

11

Congruence

I can decide using rigid transformations whether or not two figures are congruent.
I can use distances between points to decide if two figures are congruent.

12

Alternate Interior Angles

I can find unknown angle measures by reasoning about complementary or supplementary angles.
I can recognize when adjacent angles are complementary or supplementary.
If I have two parallel lines cut by a transversal, I can identify alternate interior angles and use that to find missing angle measurements.

13

Adding the Angles in a Triangle

I can determine whether three angles could make a triangle using their sum.

14

Parallel Lines and the Angles in a Triangle

I can explain using pictures why the sum of the angles in any triangle is 180 degrees.

15

Building Polygons

I can show that the 3 side lengths that form a triangle cannot be rearranged to form a different triangle.
I can show that the 4 side lengths that form a quadrilateral can be rearranged to form different quadrilaterals.
I can show whether or not 3 side lengths will make a triangle.

16

Drawing Triangles (Part 1)

Given two angle measures and one side length, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.

17

Drawing Triangles (Part 2)

Given two side lengths and one angle measure, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.

18

Rotate and Tessellate

I can repeatedly use rigid transformations to make interesting repeating patterns of figures.
I can use properties of angle sums to reason about how figures will fit together.