Skip to content
Oak National Academy
Oak National Academy
Teachers
Pupils
New
New
Year 4

Solve division problems involving grouping, including those with remainders

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

Download all resources
Share activities with pupils
New
New
Year 4

Solve division problems involving grouping, including those with remainders

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

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. A multiplication equation can be written to solve division problems.
  2. A division equation can be written to solve division problems.
  3. The number of equal groups in a number can be found by counting forwards.
  4. The number of equal groups in a number can be found by counting backwards.
  5. Counting forwards is usually easier because multiplication facts can be used to help.

Common misconception

Children may not understand division as repeated subtraction because they can count forwards to find the number of equal groups in a number.

On a number line, show how counting forwards and backwards in multiples results in the same answer. Discuss the difficulty of using tables facts to count backwards when there is a remainder, so they understand why counting forwards is more efficient.

Keywords

  • Grouping - Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we do not know how many equal groups there are.

  • Division - Division means splitting into equal parts or groups

  • Divisor - The divisor is what we are dividing by.

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

It is important that children develop their understanding by working practically, so wherever possible, encourage children to act out the scenarios given in the slide deck and adapt slightly to create other grouping problems to act out.
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).

Video

Skip video

Loading...

Starter quiz

Download starter quiz

6 Questions

Q1.
Division means splitting into __________ parts or groups.
different
Correct answer: equal
unequal
Q2.
Look at the image. 14 has been divided into groups of 3 There are 4 groups of 3 and a remainder of
An image in a quiz
Correct Answer: 2
Q3.
Which equation represents this image?
An image in a quiz
Correct answer: 16 = 2 × 6 + 4
16 = 2 × 4 + 6
16 = 2 × 5 + 6
Q4.
Which bar model represents this equation? 37 = 4 × 8 + 5
a
b
Correct answer: c
Q5.
Sofia divides some counters into equal groups of 7 with a remainder of 3 How many counters did she start with?
An image in a quiz
Correct Answer: 38
Q6.
Look at the image. What is the remainder?
An image in a quiz
Correct Answer: 6

Exit quiz

Download exit quiz

6 Questions

Q1.
Match the keyword to the correct definition.
Correct Answer:equal grouping,making groups with the same number of objects in each group

making groups with the same number of objects in each group

Correct Answer:division,splitting into equal parts or groups

splitting into equal parts or groups

Correct Answer:divisor,what we are dividing by

what we are dividing by

Correct Answer:remainder,the amount left over after a division

the amount left over after a division

Q2.
Match the multiplication and division equations that can represent the same number of groups.
Correct Answer:2 × 9 = 18,18 ÷ 9 = 2

18 ÷ 9 = 2

Correct Answer:6 × 7 = 42,42 ÷ 7 = 6

42 ÷ 7 = 6

Correct Answer:5 × 8 = 40,40 ÷ 8 = 5

40 ÷ 8 = 5

Correct Answer:7 × 4 = 28,28 ÷ 4 = 7

28 ÷ 4 = 7

Q3.
There are 21 cookies and each bag can hold 3 cookies. Which equations could be used to solve this problem?
Correct answer: 21 ÷ 3 = 7
3 + 21 = 24
Correct answer: 21 = 7 × 3
24 - 3 = 21
Q4.
Alex has 35 pages left to read in his book. He reads 7 pages each day. How many days did it take him to finish reading his book? days
Correct Answer: 5
Q5.
Match the multiplication and division equations with remainders that represent the same number of groups.
Correct Answer:20 ÷ 3 = 6 r 2,6 × 3 + 2

6 × 3 + 2

Correct Answer:23 ÷ 5 = 4 r 3,4 × 5 + 3

4 × 5 + 3

Correct Answer:19 ÷ 6 = 3 r 1,3 × 6 + 1

3 × 6 + 1

Correct Answer:25 ÷ 4 = 6 r 1,6 × 4 + 1

6 × 4 + 1

Q6.
Sofia has 28 cookies and each bag can hold 6 cookies. Which of these statements is correct?
She can fill 5 bags and will have no cookies left over.
Correct answer: She can fill 4 bags and will have a remainder of 4 cookies.
She can fill 4 bags and will have a remainder of 2 cookies.