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Investigating Area by Folding Paper

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From Mark Driscoll's Fostering Geometric Thinking

- Day 1
- 5-Minutes

- For each problem, start with a square sheet of paper and make folds in the sheet of paper to construct a new shape, then explain how you know the shape you constructed has the specified area.
- Construct a square with exactly 1/4 the area of the original square. Explain how you know it has 1/4 the area.

From Mark Driscoll's Fostering Geometric Thinking

- Day 2
- 5-Minutes

- For each problem, start with a square sheet of paper and make folds in the sheet of paper to construct a new shape, then explain how you know the shape you constructed has the specified area.
- Construct a triangle with exactly 1/4 the area of the original square. Explain how you know it has 1/4 the area.

From Mark Driscoll's Fostering Geometric Thinking

- Day 3
- 5-Minutes

- For each problem, start with a square sheet of paper and make folds in the sheet of paper to construct a new shape, then explain how you know the shape you constructed has the specified area.
- Construct another triangle with exactly 1/4 the area of the original square that is not congruent to the previous triangle you constructed. Explain how you know it has 1/4 the area.

From Mark Driscoll's Fostering Geometric Thinking

- Day 4
- 5-Minutes

- Construct a square with exactly 1/2 the area of the original square. Explain how you know it has 1/2 the area.

From Mark Driscoll's Fostering Geometric Thinking

- Day 5
- 5-Minutes

- Construct another square with exactly 1/2 the area of the original square that is located in one of the four corners of the original square. Explain how you know it has 1/2 the area.