Use bridging to solve addition and subtraction problems | Maths

Starter quiz

Look at the ten frames. Which equation does the image represent by showing ‘bridging 10’ to subtract?

14 − 6 = 8 ✓

10 − 2 = 8

8 − 2 = 6
Look at the number line. How should 8 be partitioned to ‘bridge 10’ when subtracting?

Partition into 4 and 4

Partition into 5 and 3 ✓

Partition into 6 and 2
How could we solve this equation? 23 − 6 = ?

Partition 6 into 4 and 2

Partition 6 into 3 and 3 ✓

Partition 6 into 2 and 4
Which number is missing from this number line?

'3' ✓
Look at the number line. What is the missing multiple of ten?

'80' ✓
54 − 6 = ______

'48' ✓

Exit quiz

Which equation would be used to solve this problem? There were 42 children. 7 were sitting down and the rest were standing up. How many were standing up?

42 + 7 = 49

42 − 7 = 35 ✓
Alex had put 47 cubes into the tray and then he found 6 more. How many cubes are there altogether? ______ cubes.

'53' ✓
Sam collected 54 pencils. He kept some to use and put some away in a pot. He put 46 in the pot. How many does he now have to use? ______ pencils.

'8' ✓
Which of these equations can be solved by bridging a multiple of 10?

25 + 8 = ✓

35 + 3 =

66 + 2 =

48 + 7 = ✓
Which of these equations can be solved by bridging a multiple of 10?

35 − 3 =

45 − 7 = ✓

67 − 6 =

81 − 4 = ✓
Which of these known facts could help you in solving this equation? 46 + 8 = ___

6 + 8 = 14 ✓

8 + 6 = 14 ✓

4 + 8 = 12

8 + 4 = 12

Worksheet

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Lesson Details

Key learning points

We can use known facts to help us find new facts efficiently.

Common misconception

When solving problems, particularly in new contexts, children may revert to inefficient strategies as they are focusing on the problem rather than the number involved.

Encourage children to record the numbers involved on bar models, number lines or in equations, then focus on what they notice about the numbers.

Keywords

Bridge - A strategy that involves using a multiple of ten as a 'bridge', so numbers can be partitioned to make use of bonds to ten.