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6-8 Grade 7 Unit 7

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K-5 Math •6-8 Math 9-12 Math

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Grade 6 •Grade 7 Grade 8

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

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9-12

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Accelerated 7

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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.

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Unit 7

Student Learning Targets

Grade 7

Section AAngle Relationships

Section BDrawing Polygons with Given Conditions

Section CSolid Geometry

Section DLet’s Put It to Work

Unit 7 Resources

Student Materials

1

Relationships of Angles

I can find unknown angle measurements by reasoning about adjacent angles with known measures.
I can recognize when an angle measures , , or .

2

Adjacent Angles

I can find unknown angle measures by reasoning about complementary or supplementary angles.
I can recognize when adjacent angles are complementary or supplementary.

3

Nonadjacent Angles

I can determine if angles that are not adjacent are complementary or supplementary.
I can explain what vertical angles are in my own words.

4

Solving for Unknown Angles

I can reason through multiple steps to find unknown angle measures.
I can recognize when an equation represents a relationship between angle measures.

5

Using Equations to Solve for Unknown Angles

I can write an equation to represent a relationship between angle measures and solve the equation to find unknown angle measures.

6

Building Polygons (Part 1)

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.

7

Building Polygons (Part 2)

I can reason about a figure with an unknown angle.
I can show whether or not 3 side lengths will make a triangle.

8

Triangles with 3 Common Measures

I understand that changing which sides and angles are next to each other can make different triangles.

9

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.

10

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.

17

Building Prisms

I can build a triangular prism from scratch.

11

Slicing Solids

I can explain that when a three-dimensional figure is sliced it creates a face that is two dimensional.
I can picture different cross-sections of prisms and pyramids.

12

Volume of Right Prisms

I can explain why the volume of a prism can be found by multiplying the area of the base by the height of the prism.

13

Decomposing Bases for Area

I can calculate the volume of a prism with a complicated base by decomposing the base into quadrilaterals or triangles.

14

Surface Area of Right Prisms

I can find and use shortcuts when calculating the surface area of a prism.
I can picture the net of a prism to help me calculate its surface area.

15

Distinguishing Volume and Surface Area

I can decide whether I need to find the surface area or the volume, when solving a problem about a real-world situation.

16

Applying Volume and Surface Area

I can solve problems involving the volume and surface area of children’s play structures.