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Let's look at how a third-grade student, Kelly, and her fifth-grade buddy, Benjamin, solved the following Folded-Square Shapes problem. As you observe their work, follow these guidelines:
- Look at a student's description of a shape, and try to reproduce that shape from the student's description. Then select "View Shape" to compare your shape with the student's.
- Think about the students' statements and how you would assess their understanding of geometry concepts from what they've verbally communicated.
- Have these students communicated well? Do they give evidence of their ability to reason about two-dimensional shapes and the attributes of those shapes?
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1. Kelly: My large square is the size of the original paper. No triangles are folded down.
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View Shape |
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2. Benjamin: I made my shape by folding all four of the triangles in toward the middle.
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View Shape |
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3. Kelly: My shape is made with a square and a triangle that fit together.
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View Shape |
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4. Benjamin: My shape has five sides, and one side is the length of the original square, and two sides are the length of the small square. The other sides are half the length of the large square. My shape has three square corners.
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View Shape |
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5. Kelly: In my shape, two of the triangles are folded in to the middle.
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View Shape |
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6. Benjamin: My shape has two sides next to one another that are edges of the original square. It has two more sides that are half the length of the edges of the original square. The fifth side is the length of the small square.
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View Shape |
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7. Benjamin: My shape has four sides of the same length and two more of another length. It has right-triangle shapes at opposite ends. If you fold it in half and put the two right angles together, you get a house shape.
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View Shape |
 Reflect on the Folded-Square Shapes problem
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