New
New
Year 6

Use knowledge of the order of operations to solve equations

I can use my knowledge of the order of operations to write equations and to complete equations with missing numbers or operations.

New
New
Year 6

Use knowledge of the order of operations to solve equations

I can use my knowledge of the order of operations to write equations and to complete equations with missing numbers or operations.

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Lesson details

Key learning points

  1. When there are no brackets, multiplication and division are completed before addition and subtraction.
  2. Where there is a common factor, the other factors can be added or subtracted before the final multiplication.
  3. Where there is a common divisor, the dividends can be added or subtracted before the final division.
  4. Any part of an equation that is in brackets should be calculated first.
  5. In an equation, powers have priority over multiplication and division.

Keywords

  • Order of operations - The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

  • Distributive law - 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 forget to use the order of operations and revert back to working from left to right.

Encourage them to identify all the operations in an equation before they begin to solve it so that they can apply their knowledge of the order of operations.

There is an opportunity within this lesson for children to create their own contexts for problems. Perhaps you could include contexts that are relevant for your setting or make links with events within your school or the local community.
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.
For the following equation, which operation should we undertake first? 29 + 34 − 3 × 4 =
An image in a quiz
Addition
Subtraction
Correct answer: Multiplication
Q2.
Match the square numbers to the correct expression.
Correct Answer:$$4^2$$ ,16

16

Correct Answer:$$8^2$$ , 64

64

Correct Answer:$$10^2$$ , 100

100

Correct Answer:$$12^2$$,144

144

Q3.
Match the equivalent equations.
Correct Answer:2 + 5 × 5 = ,2 + 25 =

2 + 25 =

Correct Answer:(2 + 8) × 3 =,10 × 3 =

10 × 3 =

Correct Answer:(6 − 2) × 9 = ,4 × 9 =

4 × 9 =

Q4.
Tick the greatest equation.
4 × 6 + 3 =
Correct answer: 4 × (6 + 3) =
4 × (6 − 3) =
4 × 6 ÷ 3 =
Q5.
Match the equations to the correct solutions.
Correct Answer:5 + 18 ÷ 2 = ,14

14

Correct Answer:(12 + 13) ÷ 5 =,5

5

Correct Answer:36 + 10 ÷ 2 =,41

41

Correct Answer:(30 + 30) ÷ 10 =,6

6

Q6.
There are six tables in a classroom. Sam shares out 18 workbooks equally and Jun shares out 12 textbooks equally. How many books are there on each table? There are books.
Correct Answer: 5

6 Questions

Q1.
Tennis balls are stored in packs of four. Jun has 12 balls to put away and Sam has 16 balls to put away. How many packs are put away in total? packs are put away.
Correct Answer: 7, seven
Q2.
Sam buys six chocolate eggs at £2 each. A week later, the same eggs are reduced to £1.50 each. How much would Sam have saved if she had bought the eggs a week later? £
Correct Answer: 3, 3.00
Q3.
What is the missing number? + $$2^3$$ = 21
Correct Answer: 13
Q4.
Match the missing numbers with the correct equation.
Correct Answer:8 + ___ × 2 = 12 ,2

2

Correct Answer:5 × ___ − 7 = 8 ,3

3

Correct Answer:___ ÷ 2 + 6 = 10 ,8

8

Q5.
Solve the equation. $$6^2$$ − 5 × 4 =
Correct Answer: 16
Q6.
Match the expressions to their results.
Correct Answer:5 + 5 + 5 + 5 ,20

20

Correct Answer:5 + 5 × 5 + 5 ,35

35

Correct Answer:(5 + 5) × 5 + 5,55

55

Correct Answer:(5 + 5) × 5 ÷ 5 ,10

10

Correct Answer:(5 + 5 + 5) ÷ 5,3

3