**"Symmetry"**

## Years 6 – 10 Cube Nets

*By toni On 1 September, 2020 · Leave a Comment*

Some arrangements of six squares form the net of a cube, others do not. Explain why the two shaded arrangements are nets of cubes and the two unshaded arrangements are not.

Draw this net and make your own cube.

How many faces, edges and vertices does a cube have?

[…]

## Years 9 – 10 Making Sixty

*By toni On 19 August, 2020 · Leave a Comment*

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 […]

## Years 4 – 7 Tangram Pattern

*By toni On 11 August, 2020 · Leave a Comment*

Arrange the 7 tangram pieces to make the shape in the grey picture.

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.

[…]

## Years 4 – 12 Symmetry Challenge

*By toni On 27 July, 2020 · Leave a Comment*

How many symmetric patterns can you make by shading whole squares in a 3 by 3 grid?

Where are the mirror lines (lines of symmetry)?

Which of your patterns also have rotational symmetry?

Here is just one pattern. Can you find more than 60 different patterns? Patterns that are […]

## Years 6 – 10 Matches

*By toni On 1 May, 2020 · Leave a Comment*

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.

Can […]

## Years 11-12 Quadratic Functions

*By toni On 24 April, 2020 · Leave a Comment*

The diagram shows the graphs of five quadratic functions or parabolas.

How do the points where the graph cuts the x axis relate to the axis of symmetry of the graph and the solutions of the quadratic equation ?

Match the graphs in the diagram to the following descriptions and give reasons […]

## Years 7 – 9 Durer’s Magic Square

*By toni On 5 April, 2020 · Leave a Comment*

Add the columns one by one, add the rows, then add the diagonals. What do you notice?

Add the numbers in the squares at the corners of each parallelogram shown. What do you notice? Yes, so far all these totals have been 34.

In addition the diagram with the […]

## Years 5 – 8 Paper Dolls

*By toni On 5 April, 2020 · Leave a Comment*

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 […]

## Years 6 – 12 Flower of Life

*By toni On 16 July, 2019 · Leave a Comment*

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 […]

## Years 4 to 12 Table of Tables

*By toni On 3 July, 2019 · Leave a Comment*

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 […]

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