# Represent division by sharing with equations

I can represent and interpret division by sharing where there is a remainder.

# Represent division by sharing with equations

I can represent and interpret division by sharing where there is a remainder.

## Lesson details

### Key learning points

- A multiplication and addition equation can be written to represent division between groups (or sharing).
- A division equation can be written to represent division between groups (or sharing).
- The number of equal groups to share out can be found by counting forwards.
- The number of equal groups to share out can be found by counting backwards.
- Counting forwards is usually easier because multiplication facts can be used to help us.

### Common misconception

Children may not see the link between sharing and grouping as sharing has traditionally been done by sharing out objects one by one. This becomes far less efficient when working with larger numbers.

To develop understanding of 'dividing between', ensure that physical objects are shared out in groups each time (forming an array beneath a bar model), rather than one by one.

### Keywords

Share - Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part.

Remainder - A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.

Division - Division is splitting into equal parts or groups.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

24 ÷ 8 = 3

30 ÷ 5 = 6

63 ÷ 9 = 7

56 ÷ 7 = 8

5 × 4 + 2

6 × 5 + 4

4 × 6 + 2

7 × 4 + 3

## Exit quiz

### 6 Questions

the dividend

the divisor

the quotient