1. Understanding
Multiplication and
Division

2. Today we will be learning:
more about multiplication and division
that division is the same as sharing or grouping.

3. Mental Activity
We are going to practise counting on and counting back.
We will count on and back in steps of different sizes.

4. Start at 30. Count on in twos.
Start at 15. Count on in threes.
Start at 25. Count on in fives.
Start at 50. Count on in tens.

5. Start at 40. Count back in twos.
Start at 36. Count back in threes.
Start at 60. Count back in fives.
Start at 120. Count back in tens.

6. Main Activity Today we are going to work with arrays.
We will learn to divide them into rows and columns.

7. This can be split into three groups of two.
Here is an array.
This can be split into three groups of two.
Can you think of a number sentence to show this?
6  3 = 2
Three groups of two equal six.
3 x 2 = 6

8. It can also be split into two groups of three.
Can you think of a number sentence to show this?
6  2 = 3
Two groups of three equal six.
2 x 3 = 6

9. Can you write one division and one multiplication sentence for it?
Here is another array.
Can you write one division and one multiplication sentence for it?
8  2 = 4
2 x 4 = 8

10. Can you write another division and another multiplication sentence?
8  4 = 2
4 x 2 = 8

11. Top Tip Multiplication sentences can be written in any order.
4 x 2 gives the same answer as 2 x 4

12. Top Tip Division sentences cannot be written in any order.
The total number of objects in the array must come first.
8  4 does not give the same answer as 4  8

13. Group Work Divide arrays into columns and rows.
Make different arrays using counters. Record four and complete the multiplication and division sentences for each.
Divide arrays into columns and rows.