Currently viewing the tag: "Polygons"
A disc (circle) rolls around the outside edge of a square so that its circumference always touches the edge of the square.
Describe the path (or locus) of the centre of the disc and its length.
Describe the paths of the centres of a disc rolling around the edges of other polygons.
To play the game you need a gameboard, one die, one counter for each player and paper and pencil for recording scores
Rules: REGULAR POLYPATH GAME Players in turn roll the die and move their counter that number of spaces. When they land on a shape, they must imagine that a regular […]
This is a puzzle and game for 2 players or 2 teams. When you first meet it, play cooperatively rather than competitively. First think of this as a puzzle. Match the regular polygons with stars so that each polygon-star pair has a different shape combination to all the others, showing a different […]
Why does this fold create an angle of sixty degrees?
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).
You […]
The picture shows some shadows cast by solid (3 dimensional) objects as well as some flat (2 dimensional) shapes.
Describe 3D objects that could have made these shadows. There is more than one answer for each shadow.
Can you draw different shadows that could be made by the same objects?
What sort of shadows […]
Make a record of all the rectangles that you can find in this shape.
Which rectangles are exactly the same (congruent)?
Which rectangles are similar?
Is a Square a Rectangle – Template
Click here to download the IS A SQUARE A RECTANGLE? worksheet.
Click here to download the NOTES FOR TEACHERS.
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Make enlargements of the coloured shapes by fitting together four identical smaller shapes.
How much longer are the edges (the linear scale factor of the enlargement)?
How much bigger is the area (the area scale factor of the enlargement)?
Now look at the illustration of the 3-dimensional solids. One is […]
A regular polygon has all its angles equal and all edge lengths equal. In a regular polyhedron all the faces are congruent regular polygons and the same number of polygons meet at each vertex.
Each regular polyhedron has its own codename. The tetrahedron is 333, the octahedron is 3333, the icosahedron is […]
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 […]
ABCD is a square with edge 1 unit. AM=MB and O is the centre of the square.
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
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