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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).

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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 6 Unit 1

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 1

Student Learning Targets

Grade 6

Section AReasoning to Find Area

1

Tiling the Plane

I can explain the meaning of "area."

2

Finding Area by Decomposing and Rearranging

I can explain how to find the area of a figure that is composed of other shapes.
I know how to find the area of a figure by decomposing it and rearranging the parts.
I know what it means for two figures to have the same area.

3

Reasoning to Find Area

I can use different reasoning strategies to find the area of shapes.

Section BParallelograms

4

Parallelograms

I can use reasoning strategies and what I know about the area of a rectangle to find the area of a parallelogram.
I know how to describe the characteristics of a parallelogram using mathematical vocabulary.

5

Bases and Heights of Parallelograms

I can identify pairs of base and height of a parallelogram.
I can write and explain the formula for the area of a parallelogram.
I know what the terms "base" and "height" refer to in a parallelogram.

6

Area of Parallelograms

I can use the area formula to find the area of any parallelogram.

Section CTriangles and Other Polygons

Section DSurface Area

Section ESquares and Cubes

Section FLet’s Put It to Work

Unit 1 Resources

Student Materials

7

From Parallelograms to Triangles

I can explain the special relationship between a pair of identical triangles and a parallelogram.

8

Area of Triangles

I can use what I know about parallelograms to reason about the area of triangles.

9

Formula for the Area of a Triangle

I can use the area formula to find the area of any triangle.
I can write and explain the formula for the area of a triangle.
I know what the terms “base” and “height” refer to in a triangle.

10

Bases and Heights of Triangles

I can identify pairs of base and corresponding height of any triangle.
When given information about a base of a triangle, I can identify and draw a corresponding height.

11

Polygons

I can describe the characteristics of a polygon using mathematical vocabulary.
I can reason about the area of any polygon by decomposing and rearranging it, and by using what I know about rectangles and triangles.

12

What Is Surface Area?

I know what the surface area of a three-dimensional object means.

13

Polyhedra

I can describe the features of a polyhedron using mathematical vocabulary.
I can explain the difference between prisms and pyramids.
I understand the relationship between a polyhedron and its net.

14

Nets and Surface Area

I can match polyhedra to their nets and explain how I know.
When given a net of a prism or a pyramid, I can calculate its surface area.

15

More Nets, More Surface Area

I can calculate the surface area of prisms and pyramids.
I can draw the nets of prisms and pyramids.

16

Distinguishing Between Surface Area and Volume

I can explain how it is possible for two polyhedra to have the same surface area but different volumes, or to have different surface areas but the same volume.
I know how one-, two-, and three-dimensional measurements and units are different.

17

Squares and Cubes

I can write and explain the formula for the volume of a cube, including the meaning of the exponent.
When I know the edge length of a cube, I can find the volume and express it using appropriate units.

18

Surface Area of a Cube

I can write and explain the formula for the surface area of a cube.
When I know the edge length of a cube, I can find its surface area and express it using appropriate units.

19

All about Tents

I can apply what I know about the area of polygons to find the surface area of three-dimensional objects.
I can use surface area to reason about real-world objects.