Describe the different symmetries. Draw the picture yourself. Draw your own designs using this idea. Can you explain how this 2-dimensional picture appears to show a 3-dimensional object?
You could use paperclip […]
What patterns do you notice in this table?
Continue the patterns to fill the empty squares.
Write a list describing all the patterns that you see.
What do you notice about the numbers on squares of the same colour?
Would the patterns continue for ever to […]
To make a model showing how cubes are made up of three square based pyramids, you will need a cardboard box, some string, some colouring pens and a knife or scissors to cut the box.
From one corner of a box cut squares all exactly the same size to form 3 faces of a […]
Take a sheet of A4 paper. First fold the top left corner to meet the bottom edge and press the fold flat. Then fold the top right corner to meet the edge that you folded down.
Can you prove that the quadrilateral you have made is a kite?
Can you find the perimeter of the […]
This shape is an equilateral triangle sitting on top of a square.
What is the radius of the circle that circumscribes the shape?
Click here for a hint if you need one to get started.
This problem is adapted from the […]
Where are the mirror lines (lines of symmetry)?
Which of your patterns also have rotational symmetry?
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.
Fold a piece of paper in two and tear out half a person. An old newspaper is good for this. Now open out your little person and flatten it. You have made a paper doll that is symmetrical about the fold line. The two halves of the doll on […]