Day 5 27 Sep 2013 - Make Squares

Today we use tangram to make squares. Tangram consists of 7 pieces: 2 big triangles, 1 medium triangle, 2 small right angle triangles, 1 square and 1 parallelogram. I enjoyed exploring the many ways to find out: 1. How many different sizes? 2. How many ways to create the shape of one size? 3. How many pieces can you use to make a bigger square? 4. Are there squares of other sizes? 5. The more pieces you use, the larger other square. Is it true? Take a look:

The answer is: It is not true that the more pieces you use, the larger is the square. It's a surprise, isn't it? How many different sets of squares did we make in total?

Point to ponder: Learning is not knowing more information but to think more deeply.