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Information PLAY and LEARN with The Pieces Octoplay Single peg Twin peg

The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

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Page 1: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

InformationPLAY and LEARN with

The Pieces

Octoplay

Single peg

Twin peg

Page 2: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

InformationPLAY and LEARN with

The Pieces

Twin disc

Quad disc

Strut

Page 3: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

InformationPLAY and LEARN with

How to join the pieces

makes

makes

makes

Page 4: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

InformationPLAY and LEARN with

How to join the pieces

makes

makes

makes

Page 5: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PicturesPLAY and LEARN with

1

1

Page 6: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PicturesPLAY and LEARN with

Toys

2

2

Page 7: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PicturesPLAY and LEARN with

Transport

3

3

Page 8: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PicturesPLAY and LEARN with

Space

4

4

Page 9: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PicturesPLAY and LEARN with

In Town

5

5

Page 10: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PicturesPLAY and LEARN with

Fairground

6

6

Page 11: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PicturesPLAY and LEARN with

Animals 1

7

7

Page 12: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PicturesPLAY and LEARN with

Animals 2

8

8

Page 13: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

1

n Join 8 octoplays like this.

You have made a 3.n Add 3 octoplays to make a 9.

9

Page 14: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

2

n Join 9 octoplays like this.

You have made a 2.n Add 4 octoplays to make an 8.

10

Page 15: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

3

n Join 8 octoplays like this.

You have made a letter F.n Add octoplays to make a letter E.

ABCDEFGHIJKLM

NOPQRSTUVWXYZ

11

Page 16: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

4

n Join 7 octoplays like this.

You have made a letter L.n Add octoplays to make a letter T.

12

ABCDEFGHIJKLM

NOPQRSTUVWXYZ

Page 17: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

5

n Join 7 pieces like this.

You have made a tree.n Make some different trees.

13

Page 18: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

6

n Join 9 pieces like this.

You have made a table.n Make a larger table.

14

Page 19: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

7

n Join 9 octoplays like this.

You have made a flower.n Make more flowers.

15

Page 20: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

8

16

n Join octoplays like this.

n Push the strut through the hole in the middle of the octoplay until the twin peg touches the others

You have made a top. Spin it! Why is it special?

n Make more tops.

n Join 2 pieces like this.

Page 21: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

9

n Join pieces like this to make a ladder.

n Make more ladders.

17

Page 22: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DiagramsPLAY and LEARN with

10

n Join pieces like this to make a crown.

n Make more crowns.

18

Page 23: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DrawingsPLAY and LEARN with

n Join 3 octoplays like this.

What have you made? n Make a longer one like this.

n Use 8 octoplays to make longer ones.

1

19

Page 24: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DrawingsPLAY and LEARN with

n Join 3 Octoplays like this...

like this and like this.

What have you made?

n Make some different ones

2

20

Page 25: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DrawingsPLAY and LEARN with

n Make this shape.

What have you made?

n Make a different one.

n Make a larger one.

3

21

Page 26: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

DrawingsPLAY and LEARN with

n Make this shape.

What have you made?

n Make a different one.

n Make a larger one.

4

22

Page 27: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Make a chain with a pattern like this.

n Join octoplays to this chain to continue the colour pattern.

n Make another chain with a pattern, using only 2 colours.

n Make chains with different patterns, using only 2 colours.

1

23

Page 28: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Make a chain with a pattern like this.

n Join octoplays to this chain to continue the colour pattern.

n Make another chain with a pattern, using only 3 colours.

n Make chains with different patterns, using only 3 colours.

2

24

Page 29: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Make a chain with a pattern like this.

n Join octoplays to this chain to continue the colour pattern.

n Make another chain with a pattern, using only 4 colours.

n Make chains with different patterns, using only 4 colours.

3

25

Page 30: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Make a patterned top like this.

This is a spinning top. Spin it!

n Push more octoplays onto the strut to continue this pattern.

n Make another top with a different pattern, using only 2 colours.

n Make more tops with different patterns, using only 2 colours.

4

26

Page 31: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Make a patterned top like this.

This is a another spinning top. Spin it!

n Push more octoplays onto the strut to continue this pattern.

n Make another top with a different

pattern, using only 3 colours.

n Make more tops with different

patterns, using only 3 colours.

5

27

Page 32: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Make a patterned top like this.

n Push more octoplays onto the strut to continue this pattern.

Does the top spin better with more or less octoplays on the strut?

n Join a twin peg to the end of the top. The top will spin better.

n Make more tops with different patterns, using all 4 colours.

6

28

Page 33: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Join 8 octoplays like this.

You have made a green and

yellow diamond.

n Make a red and yellow diamond with a similar pattern.

n Use any 2 colours to make other diamonds with a similar pattern.

7

29

Page 34: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Join 8 octoplays like this.

You have made a red, blue and yellow diamond.

n Make a green, blue and red diamond with a similar pattern.

n Use any 3 colours to make other diamonds with a similar pattern.

8

30

Page 35: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Join pieces to make this pattern.

n Continue this pattern by joining more pieces to the top.

n Continue this pattern by joining more pieces to the bottom.

n Continue this pattern by joining more pieces to both sides.

9

31

Page 36: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PatternsPLAY and LEARN with

n Join pieces to make this pattern.

n Continue this pattern joining more pieces on all sides.

n Make another similar pattern using only 3 colours.

n Make another similar pattern using all 4 colours.

10

32

Page 37: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PLAY and LEARN with

Symmetry

n Join 2 twin discs and 1 octoplay like this.

n Put a mirror along the broken line. Look in the mirror and see the same shape.

This means the shape is symmetrical and the broken line is a line of symmetry.

n Join 1 disc and 1 octoplay like this.

n Put a mirror along the broken line. Look in the mirror and see that the reflection has an extra twin disc.

This means the shape is not symmetrical.

1

33

Page 38: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PLAY and LEARN with

Symmetry

n Join 5 pieces to make this shape.

n Put a mirror on the broken line.

The shape is symmetrical about the line.

n Put the mirror on each of the lines.

The shape is symmetrical about each line.

2

34

Page 39: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PLAY and LEARN with

Symmetry

n Join 1 twin disc and 1 octoplay like this.

This shape is not symmetrical about the line.

n Join 1 octoplay to the shape to make a new shape which is symmetrical.

n Join another twin disc and octoplay like this.

n Join 1 twin disc to this shape to make a new shape which is symmetrical.

n Join another twin disc to this shape to make another shape which is symmetrical.

3

35

Page 40: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PLAY and LEARN with

Symmetry

n Join 1 twin discs and 1 octoplay like this.

This broken line is not a line of symmetry.

n Use a mirror to find a line of symmetry.

n Join 8 pieces like this.

n Use a mirror to find a line of symmetry.

n Use a mirror to find another line of symmetry.

4

36

Page 41: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PLAY and LEARN with

Symmetry

n Join 5 pieces like this.

This shape is symmetrical about the line.The colours are also symmetrical.

n Join these 8 pieces to make a shape so that the shape and the colours are symmetrical.

5

37

Page 42: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

PLAY and LEARN with

Symmetry

n Join 5 pieces like this.

n Join pieces to this shape to a make a shape which is symmetrical in shape and colour.

n Starting with the same 5 pieces, join other pieces to make different shapes which are symmetrical in shape and colour.

6

38

Page 43: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

ChallengesPLAY and LEARN with

Here are 2 pairs of octoplays.

n Make these 2 pairs.

n Make a different pair.

n Make another different pair.

How many different pairs can you make?

1

39

Page 44: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

ChallengesPLAY and LEARN with

Here are 3 butterflies

Butterflies wings are always the same colour.

n Make these 3 butterflies.

n Make a different butterfly.

n Make another butterfly.

How many different butterflies can you make?

2

40

Page 45: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

ChallengesPLAY and LEARN with

n Make this row of 4 octoplays.

n Make different rows of 4 using the same 4 pieces.

How many different rows can you make?

n Make different rows of 4 using any number of red or yellow octoplays, but no blue or green.

How many different rows can you make?

3

41

Page 46: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

ChallengesPLAY and LEARN with

n Join 5 octoplays

n Join 5 octoplays and make a different shape.

How many different shapes can you make?

4

42

Page 47: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

ChallengesPLAY and LEARN with

n Join octoplays like this.

n Join more octoplays to this shape to continue the pattern of colour and shape.

What have you made?

n Make similar shapes with different patterns of colour.

5

43

Page 48: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

ChallengesPLAY and LEARN with

Here is a flower with a yellow centre.

n Make this green and blue flower.

n Make a different green and blue flower, joining 4 green and 4 blue octoplays to the yellow centre.

How many different green and blue flowers can you make?

How many different green and blue flowers can you make, using the same

8 octoplays, if the centre does not need to be yellow?

6

44

Page 49: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

ChallengesPLAY and LEARN with

n Join a twin peg to a strut.

n Put a red octoplay then a yellow octoplay onto the strut to make a top like this.

n Put more octoplays onto the strut to continue a pattern.

How many different patterned tops can you make starting with the

same 3 colours?

7

45

Page 50: The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8 pieces and give them to a partner. n Ask your teacher for a desk divider. n Divide

ChallengesPLAY and LEARN with

n Take a set of 8 pieces like this.

n Take another set of these same 8 pieces and give them to a partner.

n Ask your teacher for a desk divider.

n Divide the desk with the divider so that neither of you can see what the other is doing with the pieces.

n Join the 8 pieces to make a shape without your partner seeing your shape.

n Keeping your shape hidden, tell your partner how to join the other set of pieces so that your partner will have the same shape when all 8 pieces have been joined.

n Now let your partner build a shape and tell you how to join your 8 pieces?

8

46