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

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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.

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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).

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6-8 Accelerated 7 Unit 8

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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

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9-12

Accelerated 6
Accelerated 7

Grade 6
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Grade 8

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

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Unit 8

Student Learning Targets

Accelerated 7

Section ASide Lengths and Areas of Squares

1

The Areas of Squares

I can find the area of a tilted square on a grid by using methods like “decompose and rearrange” and “surround and subtract.”
I can find the area of a triangle.

2

Side Lengths and Areas

I can explain what a square root is.
If I know the area of a square, I can express its side length using square root notation.

3

Square Roots

I can find exact and approximate side lengths of squares.

4

Rational and Irrational Numbers

I know what a rational number is and can give an example.
I know what an irrational number is and can give an example.

Section BThe Pythagorean Theorem

Section CRepresentations of Rational and Irrational Numbers

Section DLet's Put It to Work

15

When Is the Same Size Not the Same Size?

I can apply what I have learned about the Pythagorean Theorem to solve a more complicated problem.
I can decide what information I need to know to be able to solve a real-world problem using the Pythagorean Theorem.

Unit 8 Resources

Student Materials

5

Square Roots on the Number Line

I can find a decimal approximation for square roots.
I can plot square roots on the number line.
When I have a square root, I can reason about which two whole numbers it is between.

6

Finding Side Lengths of Triangles

I can explain what the Pythagorean Theorem says.

7

A Proof of the Pythagorean Theorem

I can explain why the Pythagorean Theorem is true.
If I know the lengths of two sides, I can find the length of the third side in a right triangle.
When I have a right triangle, I can identify which side is the hypotenuse and which sides are the legs.

8

The Converse

I can explain why it is true that if the side lengths of a triangle satisfy the equation then it must be a right triangle.
If I know the side lengths of a triangle, I can determine if it is a right triangle or not.

9

Applications of the Pythagorean Theorem

I can use the Pythagorean Theorem to solve problems.

10

More Applications of the Pythagorean Theorem

I can recognize situations where the Pythagorean Theorem can be used to solve a problem.

11

Finding Distances in the Coordinate Plane

I can find the distance between two points in the coordinate plane.
I can find the length of a diagonal line segment in the coordinate plane.

12

Edge Lengths, Volumes, and Cube Roots

I can approximate cube roots.
I know what a cube root is.
I understand the meaning of expressions like .

13

Decimal Representations of Rational Numbers

I can write a fraction as a repeating decimal.
I understand that every number has a decimal expansion.

14

Infinite Decimal Expansions

I can write a repeating decimal as a fraction.
I understand that every number has a decimal expansion.