Practice Tests

Chapter 13: 3-D and 2-D Shapes

1. Why is asking students to compare shapes a valuable geometry activity?
2. Visualization plays an important role in the study of geometry. Give two examples of where that might occur.
3. Triangles are classified both by the relationships among the side lengths and the relationships among the angles. Which would you introduce first? Why?
4. Many students and adults struggle with the notion that a square is, in fact, a rectangle. How could you help students understand that?
5. Why might it be valuable for students to explore the nets of 3-D prisms and pyramids?
6. Describe 3 or 4 situations where students benefit from exploring how shapes can be composed and decomposed to create other shapes.
7. Some people argue that learning the names and properties of shapes is not nearly as important as learning how to compose and decompose them. What do you think? Why?
8. What concepts related to the similarity of shapes do you think are most important for students to learn? Why?