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Whole number Place Value 1 –
Cubes, Sticks and Slabs
Teaching Mathematics Visually and Actively
Tandi Clausen-May
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Otherwise you will miss the animations!
Click the mouse now!
3110
Start with
a 1-cube.
Ten 1-cubes make a 10-stick.
410100
1
Ten 10-sticks make a 100-slab.
51000
Ten 100-slabs make a
1000-cube.
100
1
10
61000
1
10
100
So there are a thousand 1-cubes in the 1000-cube!
Ten 100-slabs make a
1000-cube.
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Watch how it builds up.
If one is just this big…
…and how big is a million?
...then a thousand is this big…
1 10
100
1,000
100,000
10,000
1,000,000
× 10
× 10
× 10× 10
× 10
× 10
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….but a million won’t fit on the screen!
One was just this big….
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…a thousand-cube.
1-cube
× 10
× 10
× 10
First the one-cube builds up to ….1000-cube
10-stick
100-slab
10
1,000
1,0001,000
1,0001,0001,000 × 10
× 10
× 10
× 10
× 10
× 10
1,000,000
100,000
10,000
Then the thousand-cube builds up to……a million-cube.
Imagine the thousand-
cube moving away, so it looks smaller and smaller….
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Then the million–cube builds up to……a thousand million-cube.
1,000,000
1,000,0001,000,000
1,000,0001,000,0001,000,000 × 10
× 10
× 10
× 10
× 10
× 10
1,000,000,000
100,000,000
10,000,000
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1,000,000,000
1,000,000,0001,000,000,000
1,000,000,0001,000,000,0001,000,000,000,0001,000,000,000 × 10
× 10
× 10
× 10
× 10
× 10
100,000,000,000
10,000,000,000
…a million million-cube!Then the thousand million-cube builds up to …
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× 10
× 10
× 10× 10
× 10
And so on…
…from cube… …to stick…
…to slab…
…to cube…
× 10
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× 10
× 10
× 10× 10
× 10
× 10
…to stick…
…to slab…
…to cube…
× 10
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Will it ever stop?
…to stick…
…to slab…
…to cube…
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The cycle goes on to infinity!
…to stick…
…to slab…
…to cube…
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Find it at http://www.uk.sagepub.com
Tandi Clausen-May
Now watch PP 4-2: Whole number Place
Value 2 – Modelling Numbersfrom the CD inside
Teaching Mathematics Visually and Actively
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