My granddaughter quickly worked through tangram cards that showed where each colored piece belonged. When she tried pictures with only an outside outline, she had a different kind of puzzle: Which piece might fit? Would turning it help? What could she try next?
That is one reason I like tangrams. The set has just seven pieces—five triangles, a square, and a parallelogram—but children can use them to make many different pictures. They can play, experiment, and think mathematically without starting with numbers.
Start where your child is comfortable
For a younger child, begin with a picture that shows two or three pieces in matching colors. If the picture is printed at the same size as the pieces, the child can place them directly on top.
When that feels easy, try a picture with the piece lines still visible but no color clues. Later, offer a plain silhouette showing only the outside edge. The child now has to imagine how the pieces could fit inside it. A seven-piece silhouette can be surprisingly hard, so it is fine to return to an easier design or offer one piece as a starting hint.
The aim is curiosity, not speed.
Where is the math?
A child solving a tangram puzzle notices straight edges and corners, compares sizes, and sees how smaller shapes can make a larger one. Turning or flipping a piece lets the child test an idea and revise it if a gap remains. That is spatial and logical thinking in action.
There is an interesting area question, too. If two finished pictures each use the same seven pieces with no gaps or overlaps, they cover the same amount of space—even when their outside outlines look quite different.
You need not turn the game into a lesson. A few gentle questions can help:
- “Which edge might fit here?”
- “What happens if you turn that triangle?”
- “How can you tell whether there is a gap?”
- “Could you make the picture another way?”
Then give your child time to try.
Let your child become the puzzle maker
Invite your child to arrange the pieces into a new picture. Trace around the outside edge only, move the pieces away, and ask someone else to solve the outline. The child has made a real puzzle—and may discover that explaining a solution takes careful thought, too.
Tangrams are one small way to explore the wider world of mathematics: shape, space, comparison, and problem-solving as well as number. If you would like to make a paper set together, the NSW Department of Education has a tangram-making activity.