1. Split the cards evenly between everyone in your group One person starts by reading their card, this should link to another person’s card Lay your cards out in order on your table

2. Find this card How can we write this calculation? Is there another way?

3. 3, four times 3 + 3 + 3 + 3 = How could we show this in a diagram?

4. 3, four times 3 + 3 + 3 + 3 = How could we show this in a diagram? 6 9 12

5. How could we show this in a diagram?
3, four times =
How could we show this in a diagram?
Talk about scaling and how multiplications written in the form:
3x1
3x2
3x3
3x4
3x5 3x
Might lend themselves to making this concept more explicit
3 x1/3 – I can scale up and scale down in the same way
More successfully leads to an understanding of exponential growth
3x3x3x3 – this repeated scaling process results in very rapid growth
4 times
as tall 3

6. 3, four times 3 + 3 + 3 + 3 = Is there a more efficient calculation we could use? 3 x 4

7. Multiplication Vocabulary
3 x 4
There are 3 in each group
3 is the multiplicand
There are 4 of these groups
4 is the multiplier
The product is 12 3  4

8. Commutative Law
3 x 4 3  4 4  3
What calculation does this represent now?

9. Multiplication Vocabulary
4 x 3
There are 4 in each group
4 is the multiplicand
There are 3 of these groups
3 is the multiplier
What happens to the
product? 4  3

10. On whiteboards…
6 X 4
What calculation does this represent? What is the multiplicand? What is the multiplier? What is the product? What other calculation is this the same as this?

11. On whiteboards…
6 X 4
6 X 5
How does the calculation change if we add another row? The multiplier increases by 1 The product increases by 6

12. On whiteboards…
6 X 4
7 X 4
How would you change the array if the multiplicand had been increased by 1?

13. On whiteboards…
6 X 4
5 X 4
How would you change the array if the multiplicand had been decreased by 1?

14. On whiteboards…
If you know 8 x 4 = 32 What else do you know? (Think about how you can alter the array)

15. On whiteboards…
If you know 23 x 5 = 115 What else do you know?

16. On whiteboards…
If you know 23 x 5 = 115 Sophie wrote… Is she correct? What do you think she has done?

17. On whiteboards…
If you know 56 x 4 = 224 What else do you know? Can you work out 56 x 8 using this? Can you use an array to help you work this out?

18. And finally…
If you know 326 x 32 = What else do I know? What other impressive multiplication facts can you give?

19. 326 x 32 =
A selection of some you might have found 32 x 326 = x 16 = x 64 = x 33 = x 32 =

20. Challenge
True or False 7 x 6 = 7 x Can you explain your reasoning?

21. Challenge
True or False 9 x 12 = 12 x Can you explain your reasoning?