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Math · Grade 7 Math · Unit 7
Unit 7: Angles, Triangles, and Prisms
Students investigate angle relationships, conditions for unique triangles, and the area, surface area, and volume of prisms.
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Unit
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Concept
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Practice
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Advanced
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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
- Relationships of Angles
- Adjacent Angles
- Nonadjacent Angles
- Solving for Unknown Angles
- 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
- Building Polygons (Part 1)
- Building Polygons (Part 2)
- Triangles with 3 Common Measures
- Drawing Triangles (Part 1)
- 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
- Slicing Solids
- Volume of Right Prisms
- Decomposing Bases for Area
- Surface Area of Right Prisms
- Distinguishing Volume and Surface Area
- Applying Volume and Surface Area
D Let’s Put It to Work · 1 lesson
Lessons
- Building Prisms (Optional)
Helpful to know first
The curriculum says this unit builds on these.
Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.