1. Strategies for learning addition (and subtraction) facts
Subitising
Count on and back
Turn-arounds
Doubles
Near doubles
Group to ten
Bridge through ten

2. Subitising

3. Count on and back
What is the number after 4?
What is two more than 4?

4. Turn-arounds 2 + 5 = 5 + 2 Now count on.
This is called the commutative law. It is true for addition and multiplication, but not for subtraction or division.

5. Doubles

6. Near doubles
8 + 7 = double 8 minus 1
Or = double 7 plus 1

7. Group to 10

8. Bridge through 10

9. Strategies for learning multiplication (and division) facts
Counting by 1s
Patterns in skip counting by 10s, 2s and 5s
Examples:
3 x 47
17 x 8
7 x 39
23 x 25 x 4
Any others?

10. A multiplication grid: complete the 1sx 1 2 3 4 5 6 7 8 9 10

11. Now the 10s x 1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90
100

12. Now the 2s x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 30 40 50 60 70 80 90
100

13. Now the 5s x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 30 40 25 35 45 50 60 70 80 90
100

14. Strategies for learning multiplication (and division) facts
Double known facts
Turn-arounds (the commutative law)

15. 4s are double 2s x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 30 24 28 32 36 40 25 35 45 50 60 70 80 90
100

16. 8s are double 4s x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 24 30 28 32 36 40 25 35 45 50 48 60 56 70 64 80 90
100

17. Strategies for learning multiplication (and division) facts
Nearly (or a bit more than) known facts
Turn-arounds (the commutative law)

18. 9s are one multiple less than 10s (or use fingers)x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 24 27 30 28 32 36 40 25 35 45 50 48 54 60 56 63 70 64 72 80 81 90
100

19. Strategies for learning multiplication (and division) facts
Square numbers

20. Square numbers x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 24 27 30 28 32 36 40 25 35 45 50 48 54 60 49 56 63 70 64 72 80 81 90
100

21. Strategies for learning multiplication (and division) facts
The three remaining facts

22. 6 × 3 = double 3 × 3 = 18 7 × 3 = 6 × = 21 x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 21 24 27 30 28 32 36 40 25 35 45 50 48 54 60 49 56 63 70 64 72 80 81 90
100

23. That just leaves 7 × 6, which is double 7 × 3x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 21 24 27 30 28 32 36 40 25 35 45 50 42 48 54 60 49 56 63 70 64 72 80 81 90
100