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Term 4
The Tangram is an old Chinese puzzle made up of 7 flat shapes, called tans, all of which are put together to form various shapes.
Fractions in the tangram.
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Look at the tangram puzzle. What fraction of the whole square is each of the two large triangles? Pink in this picture.) |
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If you fold one of the large triangles into two equal pieces, each piece is the same size as the medium size triangle (yellow in the picture). What fraction of the whole square is the medium triangle? |
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If you fold the medium triangle into two equal pieces, each piece is the same size as the two small triangles. (green in the picture.) What fraction of the whole square is each small triangle? |
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You can put two small triangles together to make the small square. What fraction of the whole square is the small square (blue in the picture)? |
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You can put two small triangles together to make the parallelogram. What fraction of the whole square is the parallelogram? |
Using the tangram.
Cut out the tangram from Cut-out 12 and label each piece with its fraction of the whole square.
Put your name on the back of each piece, so you can get your own pieces back at the end of the game.
Fair shares fraction game.
Play with 4 (or 8) players using your tangram pieces.
1. Players take turns being the dealer.
2. The dealer decides what fraction of the whole tangram each player must put into the kitty.
3. Each player guesses whether the coin will come up heads or tails, then the dealer flips the coin.
4. The dealer then shares the kitty among those who guessed right. (He or she may have to trade one or more pieces for other pieces of equal value.)
5. Any remainder that cannot be shared stays in the kitty for the next round.
6. All players check to see if the sharing is done correctly.
7. If a player finds an error, the dealer pays a penalty of 1/8 of the whole square to that player.
8. A player with no pieces may take any remainder from the kitty.
9. Play continues until each player has been dealer.
