New
New
Year 6

Combine division with addition and subtraction

I can explain which order to complete the division and addition or subtraction elements of a problem, and I know how to write this as an equation.

New
New
Year 6

Combine division with addition and subtraction

I can explain which order to complete the division and addition or subtraction elements of a problem, and I know how to write this as an equation.

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Lesson details

Key learning points

  1. Division can be combined with addition and subtraction.
  2. When there are no brackets, the division is completed first.
  3. Where there are brackets, the calculation within the brackets is completed first.

Keywords

  • Brackets - Brackets are symbols used in pairs to group things together.

  • Order of operations - The order of operations is a set of rules that tell you which operations have priority over others in an equation.

Common misconception

Children may struggle to identify the dividends and confuse these with the divisor.

For each problem, ask the children what each number represents and help them to describe this. For example, 'the number of sweets before they were shared and the number they are sharing between' alongside the terms dividend and divisor.

To encourage children to first visualise a problem, you may wish to show the written description of the problem before sharing the visual representation.
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.
Compare the two expressions using < > or =
An image in a quiz
<
Correct answer: >
=
Q2.
Jun needs to solve 11 x (3 + 2) Which operation will he need to complete first?
Correct answer: Addition
Multiplication
Q3.
Complete the equation: 12 × 3 + 5 × 12 =
Correct Answer: 96
Q4.
Using the distributive law, which expression would have the same solution as this expression? 11 × 2 + 11 × 3
Correct answer: (3 + 2) × 11
(3 + 11) × 2
(11 + 2) × 3
Q5.
Look for the common factor in the expressions and match the expressions that are equal.
Correct Answer:16 × 11 + 7 × 11 =,23 × 11

23 × 11

Correct Answer:16 × 9 − 7 × 9 =,9 × 9

9 × 9

Correct Answer:5 × 11 + 2 × 11= ,7 x 11

7 x 11

Q6.
Use the distributive law to solve this problem. Marbles come in bags of 30 Jun has 3 bags of marbles and Sam has double this amount. How many marbles do they have altogether? marbles.
Correct Answer: 270

6 Questions

Q1.
Which expression represents how to find the total number of coins in these wallets?
An image in a quiz
Correct answer: 24 ÷ 2 + 60 ÷ 10
2 ÷ 24 + 10 ÷ 60
24 ÷ 2 + 60 ÷ 2
Q2.
Match the equations to the correct solutions.
Correct Answer:5 + 6 ÷ 2 = ,8

8

Correct Answer:(6 + 6) ÷ 4,3

3

Correct Answer:14 + 8 ÷ 2 = ,18

18

Correct Answer:(30 + 30) ÷ 5 =, 12

12

Q3.
3 + 9 ÷ 3 =
Correct Answer: 6
Q4.
Aisha says that 3 + 12 ÷ 3 = 7 Jun says that 3 + 12 ÷ 3 = 5 Who is correct?
Correct answer: Aisha
Jun
Q5.
Match the equations to the correct solutions.
Correct Answer:30 − 20 ÷ 2 =,20

20

Correct Answer:(32 − 4) ÷ 4 = ,7

7

Correct Answer:14 − 8 ÷ 2 = ,10

10

Correct Answer:(30 − 10) ÷ 5 =,4

4

Q6.
Tick the equation which is greatest.
(18 + 12) ÷ 4 =
Correct answer: 18 + 12 ÷ 4 =
18 ÷ 4 + 12 =
18 ÷ (4 + 12) =