The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8...
Transcript of The Pieces - Polydron · n Take a set of 8 pieces like this. n Take another set of these same 8...
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InformationPLAY and LEARN with
The Pieces
Octoplay
Single peg
Twin peg
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InformationPLAY and LEARN with
The Pieces
Twin disc
Quad disc
Strut
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InformationPLAY and LEARN with
How to join the pieces
makes
makes
makes
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InformationPLAY and LEARN with
How to join the pieces
makes
makes
makes
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PicturesPLAY and LEARN with
1
1
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PicturesPLAY and LEARN with
Toys
2
2
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PicturesPLAY and LEARN with
Transport
3
3
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PicturesPLAY and LEARN with
Space
4
4
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PicturesPLAY and LEARN with
In Town
5
5
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PicturesPLAY and LEARN with
Fairground
6
6
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PicturesPLAY and LEARN with
Animals 1
7
7
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PicturesPLAY and LEARN with
Animals 2
8
8
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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
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DiagramsPLAY and LEARN with
2
n Join 9 octoplays like this.
You have made a 2.n Add 4 octoplays to make an 8.
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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
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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.
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ABCDEFGHIJKLM
NOPQRSTUVWXYZ
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DiagramsPLAY and LEARN with
5
n Join 7 pieces like this.
You have made a tree.n Make some different trees.
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DiagramsPLAY and LEARN with
6
n Join 9 pieces like this.
You have made a table.n Make a larger table.
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DiagramsPLAY and LEARN with
7
n Join 9 octoplays like this.
You have made a flower.n Make more flowers.
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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.
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DiagramsPLAY and LEARN with
9
n Join pieces like this to make a ladder.
n Make more ladders.
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DiagramsPLAY and LEARN with
10
n Join pieces like this to make a crown.
n Make more crowns.
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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.
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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
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DrawingsPLAY and LEARN with
n Make this shape.
What have you made?
n Make a different one.
n Make a larger one.
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DrawingsPLAY and LEARN with
n Make this shape.
What have you made?
n Make a different one.
n Make a larger one.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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?
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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
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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?
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ChallengesPLAY and LEARN with
n Join 5 octoplays
n Join 5 octoplays and make a different shape.
How many different shapes can you make?
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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.
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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?
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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?
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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?
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