Represent division by sharing with equations | Maths | Quizalize & Oak National Academy

Starter quiz

There are 30 children. Which equal-sized groups could they get into without any children being left out?
- groups of 2 ✓
- groups of 3 ✓
- groups of 4
- groups of 5 ✓
- groups of 6 ✓
Match the multiplication and division equations that represent the same number of groups.
- 3 × 8 = 24
  
  ⇔
  
  24 ÷ 8 = 3 ✓
- 6 × 5 = 30
  
  ⇔
  
  30 ÷ 5 = 6 ✓
- 7 × 9 = 63
  
  ⇔
  
  63 ÷ 9 = 7 ✓
- 8 × 7 = 56
  
  ⇔
  
  56 ÷ 7 = 8 ✓
Jun had 36 stickers. He could fit 6 stickers on each page of his book. How many pages did he fill with his stickers? ______ pages
- '6' ✓
Match the multiplication and division equations with remainders that could represent the same number of groups.
- 22 ÷ 4 = 5 r 2
  
  ⇔
  
  5 × 4 + 2 ✓
- 34 ÷ 5 = 6 r 4
  
  ⇔
  
  6 × 5 + 4 ✓
- 26 ÷ 6 = 4 r 2
  
  ⇔
  
  4 × 6 + 2 ✓
- 31 ÷ 4 = 7 r 3
  
  ⇔
  
  7 × 4 + 3 ✓
Sofia has 38 cakes and each plate can hold 8 cakes. Which of these statements is correct?
- She can fill 4 plates and will have no cakes left over.
- She can fill 4 plates and will have a remainder of 6 cakes. ✓
- She can fill 5 plates and will have a remainder of 2 cakes.
Jun had 43 books. He could fit 5 books onto each shelf of his bookshelf. How many books would not fit onto a shelf? ______
- '3' ✓

Exit quiz

Look at the division equation. Match the numbers to the description.
- 18 is
  
  ⇔
  
  the dividend ✓
- 3 is
  
  ⇔
  
  the divisor ✓
- 6 is
  
  ⇔
  
  the quotient ✓
Look at the division and multiplication equations. What number is missing from both? ______
- '5' ✓
Which equations could this number line represent?
- 6 × 4 = 24 ✓
- 4 × 24 = 6
- 24 ÷ 4 = 6 ✓
- 4 ÷ 6 = 24
Look at the bar model. Which equations could it represent?
- 27 ÷ 5 = 6 r 3
- 27 ÷ 4 = 6 r 3 ✓
- 27 = 4 × 6 + 3 ✓
- 27 = 3 × 6 + 4
What is the remainder when 30 pencils are shared between 7 children? 30 ÷ 7 = 4 r ______
- '2' ✓
Use your multiplication facts to divide by sharing. 42 ÷ 9 = ______ r 6
- '4' ✓

Worksheet

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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.