New
New
Year 4

Solve division problems involving sharing, including those with remainders

I can solve division problems involving sharing, sometimes with remainders.

New
New
Year 4

Solve division problems involving sharing, including those with remainders

I can solve division problems involving sharing, sometimes with remainders.

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Lesson details

Key learning points

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

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.

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.

Model the language of grouping in sharing contexts and, when recorded, ask children to explain what each part of the equation represents. For example, when showing a bar model to show 20 divided between 4 (showing 5 in each part), articulate where the grouping of 4 was in the problem.
Teacher tip

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).

Lesson video

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6 Questions

Q1.
Look at the division equation. Match the numbers to the description.
An image in a quiz
Correct Answer:21,the dividend

the dividend

Correct Answer:7,the divisor

the divisor

Correct Answer:3,the quotient

the quotient

Q2.
Look at the division and multiplication equations. What number is missing from both?
An image in a quiz
Correct Answer: 4, four
Q3.
Look at this number line for 22 ÷ 4 What is the remainder?
An image in a quiz
Correct Answer: 2
Q4.
Look at the bar model. Which equations does it represent?
An image in a quiz
Correct answer: 32 ÷ 3 = 9 r 5
32 ÷ 4 = 9
Correct answer: 32 = 3 × 9 + 5
32 = 3 × 5 + 9
Q5.
What is the remainder when 46 books are shared between 8 shelves? 46 ÷ 8 = 5 r
Correct Answer: 6
Q6.
Use your multiplication facts to divide by sharing. 45 ÷ 6 = r 3
Correct Answer: 7

6 Questions

Q1.
Jun is dividing cookies by sharing them between 5 bags. In this problem, 5 is the __________
Correct answer: divisor
dividend
quotient
Q2.
What is the missing dividend in this bar model?
An image in a quiz
Correct Answer: 42
Q3.
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
Correct answer: c
Q4.
Alex divides 54 eggs between 9 boxes. There are eggs in each box.
Correct Answer: 6
Q5.
Jun has 43 apples and he divides them between 5 bags. How many apples will be left over? There will be apples left over.
An image in a quiz
Correct Answer: 3
Q6.
Alex divides 50 balls equally between 6 buckets for sports day. How many balls are in each bucket?
9 balls
Correct answer: 8 balls
7 balls