1. 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

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

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

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

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

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

7. ...then a thousand is this big…
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?

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

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

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

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

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

13. × 10 × 10 × 10 × 10 And so on… …from cube… …to stick… …to cube…
…to slab…

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

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

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

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