Currently viewing the tag: "Symmetry"
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 […]
Describe the picture? What do you notice? Talk with your friends about it. What shapes can you see in it?
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 […]
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 cube, […]
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 […]
People maths and paper folding and cutting to explore the concept of symmetry.
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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.
Click here for the Notes for Teachers.
Click here for the ENCIRCLING poster.
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In how many ways can you fit all three pieces together, edge to edge, to make shapes with line symmetry?
The first of these examples shows a symmetrical arrangement, the second is not allowed because the pieces are not placed edge to edge and the third is not symmetrical.
In how many ways can you half cover one big square using two smaller yellow squares as in diagram A.
What are the similarities and differences between the patterns?
Suppose you half cover four big squares by half covering each square as in diagram B.
Diagram B is unchanged when you rotate […]
(a) You must mark four red squares and five blue squares in a 3 by 3 grid .
How many ways can you do this so that all the rows columns and diagonals have an even number of red squares?
Two solutions are considered the same if one can be transformed to […]
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