Geometry

# Tangrams

Tangrams are a seven-piece geometric puzzle that dates back at least to the Song Dynasty in China (about 1100 AD). Below^{[1]} you will find the seven puzzle pieces. Make a careful copy (a photocopy or printout is best), cut out the puzzle pieces, and then use them to solve the problems in this section.

Whenever you solve a tangram puzzle, your job is to **use all seven pieces to form the shape**. They should fit together like puzzle pieces, sitting flat on the table; **no overlapping** of the pieces is allowed.

You can trace around your solutions to remember what you have done and to have a record of your work.

### Problem 1

Use your tangram pieces to build the following designs^{[2]}. How many can you make?

(These are all separate challenges. Each one requires all seven pieces. Once you solve one, trace your solution. Then try to solve another one.)

### Problem 2

Use your tangram pieces to build the following designs^{[3]}. How many can you make?

(These are all separate challenges. Each one requires all seven pieces. Once you solve one, trace your solution. Then try to solve another one.)

### Think / Pair / Share

- Which tangram problems were easier and which were harder: making “real life” objects like cats and people, or purely mathematical objects like the rectangle?
- What do you think made one kind of problem easier or harder?

- Image of tangram puzzle from Wikimedia Commons, public domain. ↵
- Tangram puzzles from Wikimedia Commons, public domain. ↵
- Tangram puzzles from pixababy.com,CC0 Creative Commons. ↵