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1 Whole number Place Value 1 – Cubes, Sticks and Slabs Teaching Mathematics Visually and Actively Tandi Clausen-May

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2 Click the mouse only when you see a Otherwise you will miss the animations! Click the mouse now!

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3 1 10 Start with a 1-cube. Ten 1-cubes make a 10- stick.

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4 10 100 1 Ten 10-sticks make a 100-slab.

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5 1000 Ten 100-slabs make a 1000-cube. 100 1 10

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6 1000 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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7 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

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8 ….but a million wont fit on the screen! One was just this big….

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9 …a thousand-cube. 1-cube × 10 × 10 × 10 First the one-cube builds up to …. 1000-cube 10-stick 100-slab

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10 1,000 × 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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11 Then the million–cube builds up to… …a thousand million-cube. 1,000,000 × 10 × 10 × 10 × 10 1,000,000,000 100,000,000 10,000,000

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12 1,000,000,000 1,000,000,000,000 1,000,000,000 × 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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13 × 10 × 10 × 10 And so on… …from cube… …to stick… …to slab… …to cube… × 10

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14 × 10 × 10 × 10 × 10 …to stick… …to slab… …to cube… × 10

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15 Will it ever stop? …to stick… …to slab… …to cube…

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16 The cycle goes on to infinity! …to stick… …to slab… …to cube…

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17 Find it at http://www.uk.sagepub.com Tandi Clausen-May Now watch PP 4-2: Whole number Place Value 2 – M odelling Numbers from the CD inside Teaching Mathematics Visually and Actively

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