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Learning Math Home
Geometry Session 10: Classroom Case Studies - Grades 3-5
 
Session 10 Session 10 3-5 Part A Part B Part C Homework
 
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Session 10, Part C:
Problems That Illustrate Geometric Reasoning (55 minutes)

In This Part: Geometric Reasoning Problems, Part 1 | Geometric Reasoning Problems, Part 2

In this part, you'll look at several problems that are appropriate for students in grades 3-5. As you look at the problems, answer these questions:

a. 

What is the geometry content in this problem?

b. 

What skills do students need to work through this problem? What skills will this problem help them develop for later work?

c. 

What level of geometric thinking is expected of students in the problem? Does it ask students to bridge levels?

d. 

What other questions might extend students' thinking about the problem?

e. 

Describe a lesson that you could develop based on the content of this problem.

Note 6

Problem C1

Solution  

Given the front, right, back, left, and top views shown here, use cubes to build a building that fits the pictures.

Note 7


 

Problem C2

Solution  

Start with each shape shown below. Find a way to cut the shape into four smaller shapes, all congruent to each other. What is the relationship of the smaller shapes to the larger one?


 

Problem C3

Solution  

All of these figures have something in common.

None of these has it.

Which of these has it?


 

Problems C1-C3 adapted from Van de Walle, John A. Geometric Thinking and Geometric Concepts. In Elementary and Middle School Mathematics: Teaching Developmentally, 4th ed. pp. 320-343. Copyright © 2001 by Pearson Education.
Used with permission from Allyn & Bacon. All rights reserved.

Next > Part C (Continued): Geometric Reasoning Problems, Part 2

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