Unit 7: Angles, Triangles, and Prisms

Students investigate angle relationships, conditions for unique triangles, and the area, surface area, and volume of prisms.

Worksheets

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Unit

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Concept

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Practice

Set 1

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Set 2

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Advanced

Set 1

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Set 2

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What this unit covers

A Angle Relationships · 5 lessons

Goals

• Solve multi-step problems involving complementary, supplementary, and vertical angles.
• Write an equation to represent the relationship between angles in a given diagram.

Lessons

1. Relationships of Angles
2. Adjacent Angles
3. Nonadjacent Angles
4. Solving for Unknown Angles
5. Using Equations to Solve for Unknown Angles

B Drawing Polygons with Given Conditions · 5 lessons

Goals

• Draw triangles with two given angle measures and one side length, one given angle measure and two side lengths, or three side lengths.
• Justify whether 3 measures of angles or sides determine a unique triangle or more than one triangle, or if no triangle is possible.

Lessons

1. Building Polygons (Part 1)
2. Building Polygons (Part 2)
3. Triangles with 3 Common Measures
4. Drawing Triangles (Part 1)
5. Drawing Triangles (Part 2)

C Solid Geometry · 6 lessons

Goals

• Calculate the surface area and volume of a prism.
• Decide whether to calculate the surface area or volume of a prism to solve a problem in a real-world situation.

Lessons

1. Slicing Solids
2. Volume of Right Prisms
3. Decomposing Bases for Area
4. Surface Area of Right Prisms
5. Distinguishing Volume and Surface Area
6. Applying Volume and Surface Area

D Let’s Put It to Work · 1 lesson

Lessons

1. Building Prisms (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 7 Math · Unit 6 Expressions, Equations, and Inequalities

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