1. Multiplication: Groups
2 groups of 5 counters makes 10 counters altogether.

2. Multiplication: Repeated Addition 1
5 x 3 = = 15
5 multiplied by 3 means 5, 3 times, which gives 3 lots of 5

3. Multiplication: Repeated Addition 2+5 +5 +5 5 10 15
5 x 3 = = 15
5 multiplied by 3 means 5, 3 times, means 5 times 3

4. Multiplication: Arrays
3 x 5 = 15 or 5 x 3 = 15

5. Multiplication: Partition 1
10 x 5
5x5 50 75
10 x 5 = 50
5 x 5 = 25
15 x 5 = 75

6. Multiplication: Partition 2
15 x 5 = 75
10 x 5 = 50
10 x 5 = 50
5 x 5 = 25
5 x 5 = 25
= 75

7. Multiplication: Grid 15 x 5 = 75 x 10 10 5 5 5 50 50 50 25 25 25
= 75

8. Multiplication: Column 1
15 x 5 = 75 15 5 x 25
(5x5) 50
(5x10) 75

9. Multiplication: Column 2
158 x 5 = 790
158 5 x 7 9 2 4

10. Multiplication: Column 3
43 x 65 = 2795 43 65 x
215
(5x43) 2 1
258
(60x43) 2 1
2795

11. Division: Groups
10 counters in 5 groups of 2.

12. 10 counters in shared into two lots of 5.
Division: Sharing
10 counters in shared into two lots of 5.

13. Division: Repeated Addition+5 +5 +5 5 10 15
= = 3 ÷
15 divided by 5 equals 3 groups of 5

14. Division: Repeated Addition with Remainders+5 +5 +5 +2 5 10 15 17
= = 3r2 ÷
17 divided by 5 equals 3 groups of 5 with 2 remainders

15. Division: Short Method1 3 1 5 6 5
= 13 ÷
65 divided by 5 equals 13

16. Division: Short Method with Remainders1 5 r3 2 5 7 8 3 = ÷ 13 r3
78 divided by 5 equals 15 remainder 3