TANGRAMS

1 / 14

# TANGRAMS - PowerPoint PPT Presentation

TANGRAMS. History of Tangrams.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'TANGRAMS' - sal

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
History of Tangrams
• Legend states that a servant of a Chinese emperor was carrying a ceramic tile, extremely expensive and extremely fragile. The servant tripped, shattering the tile. In a panic, the servant desperately tried to reassemble the tile into a square, but could not. He did realize, however, that many other shapes could be formed from the pieces.
Step 1
• Cut off the rectangle under the folded section.
• You now have a square.
Step 2
• Fold the square in half along a diagonal.
• Unfold and cut along the crease.
• What observations can you make about the two pieces you have?
• How can you “prove” your observations are correct?
Step 3
• Take one of the halves, fold it in half and cut along the crease.
• What observations can you make?
Step 4
• Take the remaining half and lightly crease to find the midpoint of the longest side.
Step 4
• Take the remaining half and lightly crease to find the midpoint of the longest side.
• Fold so that the vertex of the right angle touches the midpoint and cut along the crease.
Step 5
• Take the trapezoid, fold it in half and cut.
• What shapes are formed?
• What types of angles are formed?
Step 6
• Take one trapezoid.
• Fold the acute base angle to the adjacentright base angle.
• Cut on the crease.
• What shapes are formed?
Step 7
• Take the other trapezoid.
• Fold the right base angle to the oppositeobtuse angle.
• Cut on the crease.
• What shapes are formed?

### You should now have seven pieces.

Can you put them together to make a square?

Put the pieces in order from smallest to largest.

• What criteria did you use for your arrangement?
area
• If the small triangle is our basic unit of area, what are the areas of the other pieces in triangular units?
Squares
• Create a square using only one piece.
• What is its area?
• Create a square using two pieces.
• What is its area?
• Create a square using 3 pieces, 4 pieces, 5 pieces, 6 pieces, and 7 pieces.
• Are they all possible?
• What are the areas?