Solve division problems involving sharing, including those with remainders | Maths

Starter quiz

Look at the division equation. Match the numbers to the description.
- 21
  
  ⇔
  
  the dividend ✓
- 7
  
  ⇔
  
  the divisor ✓
- 3
  
  ⇔
  
  the quotient ✓
Look at the division and multiplication equations. What number is missing from both? ______
- '4' ✓
Look at this number line for 22 ÷ 4 What is the remainder? ______
- '2' ✓
Look at the bar model. Which equations does it represent?
- 32 ÷ 3 = 9 r 5 ✓
- 32 ÷ 4 = 9
- 32 = 3 × 9 + 5 ✓
- 32 = 3 × 5 + 9
What is the remainder when 46 books are shared between 8 shelves? 46 ÷ 8 = 5 r ______
- '6' ✓
Use your multiplication facts to divide by sharing. 45 ÷ 6 = ______ r 3
- '7' ✓

Exit quiz

Jun is dividing cookies by sharing them between 5 bags. In this problem, 5 is the __________
- divisor ✓
- dividend
- quotient
What is the missing dividend in this bar model?
- '42' ✓
Which bar model represents this problem? Sophia has 32 cookies and she divides them between 4 bags. How many cookies are in each bag?
- a
- b
- c ✓
Alex divides 54 eggs between 9 boxes. There are ______ eggs in each box.
- '6' ✓
Jun has 43 apples and he divides them between 5 bags. How many apples will be left over? There will be ______ apples left over.
- '3' ✓
Alex divides 50 balls equally between 6 buckets for sports day. How many balls are in each bucket?
- 9 balls
- 8 balls ✓
- 7 balls

Worksheet

Presentation

Video

Lesson Details

Key learning points

Objects can be divided equally between groups, sometimes with a remainder.
When objects are divided equally between groups, it is called sharing.
Multiplication and addition equations or division equations can be used to represent sharing with a remainder.
Multiplication facts can be used to solve sharing problems.

Common misconception

When faced with a bar model showing for example 5 parts, children often want to write a 5 in each part as they misunderstand how the grouping in fives relates to a sharing context.

Imagine arrays beneath the five parts of the bar model to secure understanding that the five parts represent five groups of ___ / the number of groups we are sharing between. Physically share a group of objects into these parts at any one time.

Keywords

Sharing - 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.
Division - Division is splitting into equal parts or groups.
Remainder - A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.