Whole number Place Value 1 – Cubes, Sticks and Slabs

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

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

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

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

10 100 1 Ten 100-slabs make a 1000-cube. So there are a thousand 1-cubes in the 1000-cube! 1000

Watch how it builds up. × 10 10,000 100,000 If one is just this big… × 10 × 10 × 10 10 1 ...then a thousand is this big… 1,000,000 100 1,000 × 10 × 10 …and how big is a million?

One was just this big…. ….but a million won’t fit on the screen!

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

× 10 × 10 × 10 Then the thousand-cube builds up to… …a million-cube. 1,000 1,000,000 × 10 1,000 1,000 10,000 1,000 1,000 1,000 Imagine the thousand-cube moving away, so it looks smaller and smaller…. × 10 × 10 100,000

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

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

And so on… × 10 × 10 × 10 …from cube… × 10 …to stick… …to cube… × 10 × 10 …to slab…

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

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

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

Find it at http://www.uk.sagepub.com Now watch PP 4-2: Whole number Place Value 2 – Modelling Numbersfrom the CD insideTeaching Mathematics Visually and Actively Tandi Clausen-May

Whole number Place Value 1 – Cubes, Sticks and Slabs