Area of Tangram Pieces

Adapted from Tom Scavo's Homepage by Valerie D. Johnson

1. Trace the small square in your notebook. Let's suppose this square has area one square unit. Write "one square unit" next to the small square.

2. Make a square with the two small congruent triangles. What is the area of this square? Explain how you figured this are and how you know your answer is correct.

3. Trace one of the small triangles in your notebook. What is the area of this triangle? Explain how you know this to be the area. Write the area next to the small triangle.

4. Trace the parallelogram in your notebook.

5. Make a (non-square) parallelogram with the two small congruent triangles. What is the area of this parallelogram? Explain how you know this is the area. Write the area next to the parallelogram.

6. Trace the medium-size triangle in your notebook.

7. Make a triangle with the two small congruent triangles. What is the area of this triangle? Explain how you know this to be the area. Write the are next to the medium-size triangle.

8. Trace one of the large triangles in your notebook.

9. Make a triangle with the small square and the two small congruent triangles. What is the area of this triangle? Explain how you know this to be the area. Write the area next to the large triangle.

10. Trace one of the large triangles in your notebook.

11. Make a triangle with the small square and the two small congruent triangles. What is the area of this triangle? Explain how you know this to be the area. Write the area next to the large triangle.

12. Make a square with the two large congruent triangles. What is the area of this square? Explain how you know this to be the area. Trace your square and write the area next to it.