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Curriculum

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.

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).

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6-8 Grade 7 Unit 3

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

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

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Unit 3

Student Learning Targets

Grade 7

Section ACircumference of a Circle

Section BArea of a Circle

6

Estimating Areas

I can calculate the area of a complicated shape by breaking it into shapes whose area I know how to calculate.

7

Exploring the Area of a Circle

I know whether or not the relationship between the diameter and area of a circle is proportional and can explain how I know.
If I know a circle’s radius or diameter, I can find an approximation for its area.

8

Relating Area to Circumference

I can explain how the area of a circle and its circumference are related to each other.
I know the formula for area of a circle.

9

Applying Area of Circles

I can calculate the area of more complicated shapes that include fractions of circles.
I can write exact answers in terms of .

Section CLet’s Put It to Work

Unit 3 Resources

Student Materials

1

How Well Can You Measure?

I can examine quotients and use a graph to decide whether two associated quantities are in a proportional relationship.
I understand that it can be difficult to measure the quantities in a proportional relationship accurately.

2

Exploring Circles

I can describe the characteristics that make a shape a circle.
I can identify the diameter, center, radius, and circumference of a circle.

3

Exploring Circumference

I can describe the relationship between circumference and diameter of any circle.
I can explain what means.

4

Applying Circumference

I can choose an approximation for based on the situation or problem.
If I know the radius, diameter, or circumference of a circle, I can find the other two.

5

Circumference and Wheels

If I know the radius or diameter of a wheel, I can find the distance the wheel travels in some number of revolutions.

10

Distinguishing Circumference and Area

I can decide whether a situation about a circle has to do with area or circumference.
I can use formulas for circumference and area of a circle to solve problems.

11

Stained-Glass Windows

I can apply my understanding of area and circumference of circles to solve more complicated problems.