Investigate the three triangles (where there is a single thickness of the paper) that are formed by folding in this way.
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Make a centre crease down the length of the paper then open it up.
Next fold one corner over and onto the centre crease so that the fold line passes through the corner next to it (on the short side of the paper).
Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]
What do you notice about this shape?
Describe the shapes of the tangram pieces.
What is the same and what is different about the shapes of the tangram pieces?
Make a pattern of your own using all 7 pieces.
How many other triangles can you make with 11 sticks?
Investigate all the triangles that you can make with different numbers of sticks.
Record your […]
Look at this square divided into four pieces : two identical triangles and two identical trapezia.
The edge of length 3 from each triangle matches with the edge of length 3 from a trapezium so that the four pieces from the square now occupy a rectangular space.
The square had side length 8 […]
What do you notice? Why does this happen? Will it […]
A tetrahedron (plural tetrahedra) is a solid with four triangular faces. How many different tetrahedra can you make using the four different types of triangle shown in the diagram if you have an unlimited number of each type?
Type R are right angled isosceles triangles with sides a, a and b units.
Find the area of the kite.
Can you find this area by more than one method?
Click here to download the KITE IN A SQUARE worksheet
Find some sticks, they could be twigs, or matchsticks or cocktail sticks, or rolled paper sticks, or pasta like spaghetti broken into short lengths, but they must all be the same length.
Arrange 16 sticks into this pattern.
Here is a puzzle with more than one solution.