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Odd and Even Purpose Students will explore odd and even numbers.

Ask students to try to make rectangles that are two tiles high using the following numbers of tiles.

10

7

12

5

Students will start to notice that odd numbers have ‘a bit sticking out,’ while even numbers form a rectangle.

Students can test other numbers to determine whether they are odd or even. Eventually they will realise that numbers that end in 1, 3, 5, 7 and 9 are odd.

Colour Tiles

10

Š P. Swan

What happens if..?

Students may then explore what happens if you add • two odd numbers • two even numbers • an even and an odd number (Note: Some students will not realise that adding an odd and even number is the same as adding an even and an odd number).

odd + odd

+ = Similar reasoning may be used to show what happens when two even numbers are added.

even + even

+ = © P. Swan

11

Colour Tiles

Symmetry Purpose: Students will create colour tile patterns with one line of symmetry and multiple lines of symmetry.

Students can explore line symmetry by creating a colour tile shape on one side of a line of symmetry and then asking a partner to make the mirror image on the other side of the line of symmetry. For example:

Later students can be shown complicated patterns and asked to identify where the line of symmetry is.

Colour Tiles

38

Š P. Swan

Students may then be encouraged to create patterns with two or more lines of symmetry.

Š P. Swan

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Colour Tiles

Colour Tile Conundrums: Position Colour Tile Conundrums • • • • • •

There are six tiles in a row.

The first and last tiles are blue.

The third tile is red.

The second last tile is green.

There is a yellow tile between the red and green tile.

There is a blue tile to the right of the red tile.

© Paul Swan

www.drpaulswan.com.au

2.

Colour Tile Conundrums • • • • • •

There are four pairs of tiles of each colour.

There are two red tiles at the start of the row.

There are two green tiles at the end of the row.

There is a yellow tile to the right of the pair of green tiles.

There is a yellow tile to the left of the pair of red tiles.

Two blue tiles are in the middle of the row of tiles.

© Paul Swan

www.drpaulswan.com.au

3.

Colour Tile Conundrums • • • • •

1.

The row begins with a yellow tile.

There are twice as many green tiles as red tiles.

The second tile is red.

The last tile is red.

The green tiles fit between the red tiles.

© Paul Swan

www.drpaulswan.com.au