Combine multiplication with addition and subtraction | Maths

Starter quiz

An equation is used to show that one number, calculation or expression is ______ to another.

'equal' ✓
Look at the bar model. Which of these expressions could it represent?

4 x 3 ✓

3 x 3

7 x 3
4 × 3 is equal to ___

7

12 ✓

1
Match the equations to the correct solutions.

4 x 5 =

⇔

20 ✓

6 + 6 + 6 =

⇔

18 ✓

3 x 3 =

⇔

9 ✓
Match the expressions that are equal in value.

3 x 2

⇔

2 + 2 + 2 ✓

3 x 3

⇔

3 + 3 + 3 ✓

4 x 5

⇔

5 + 5 + 5 + 5 ✓
Aisha and Jun want to find the total number of cakes. Aisha calculates 8 + 8 + 8 + 8 + 8 + 8 and Jun calculates 6 x 8 They find the correct number of cakes. Whose method was more efficient?

Aisha's method

Jun's method ✓

Exit quiz

Think about the order of operations. Which of these sentences are correct?

Multiplication has priority over addition and subtraction. ✓

Addition has priority over subtraction.

Any part of an equation that is in brackets should be completed first. ✓
Which bar model could you use as a representation to help solve this problem? Jun has 3 packs of 20 balloons. Sam has 4 packs of 12 balloons. Who has more balloons, and by how many?

A ✓

B

C
Look at this problem. I have two packs of 25 stickers. You have three packs of 12 stickers. How many more stickers do I have? Which equation could you use to solve this?

2 × 25 + 3 × 12 =

2 × 25 − 3 × 12 = ✓

3 × 12 × 2 × 25 =
Use the equation to help solve this problem. A class is organised into five teams of three children and four teams of four children. There are ______ children in the class.

'31' ✓
Match each equation to the correct solution.

2 + 6 × 7 =

⇔

2 + 42 = 44 ✓

(2 + 6) × 7 =

⇔

8 × 7 = 56 ✓

(6 − 2) × 7 =

⇔

4 × 7 = 28 ✓
Sam’s book has 120 pages. She reads 9 pages each day for 11 days. How many more pages does she have left to read? ______ pages.

'21' ✓

Worksheet

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Lesson Details

Key learning points

Multiplication can be combined with addition and subtraction.
When there are no brackets, the multiplication is completed first.
Where there are brackets, the calculation within the brackets is completed first.
The order of operations is a set of rules that tells you the order in which you need to solve a written a equation.

Common misconception

Children will solve an equation by working from left to right and forget that multiplication needs to be completed before addition or subtraction.

Allow plenty of opportunities for children to practise solving equations that cannot be solved working from left to right. You could highlight the operation symbols to draw children's attention to these before they begin to solve them.

Keywords

Efficient - Working efficiently means finding a way to solve a problem quickly whilst also maintaining accuracy.
Equation - An equation is used to show that one number, calculation or expression is equal to another.
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.