# Add by making 10

## Learning focus

Learn how making 10 can be a useful strategy when solving addition problems.

This lesson includes:

- one catch-up quiz
- one video
- one activity

# Quiz

To get started, let's see how well you know this topic already. Take the catch-up quiz below to find out.

# Learn

This video explains how you can work out a calculation by adding or subtracting to 10 first.

## Bridging through 10

Adding by making 10 is also called **bridging through 10**.

Here's what to do:

Work out what you need to add to your first number to make ten.

Take this from your second number. What do you have left?

Add what is left to 10. That's your answer!

## Example 1

**8 + 4 = ?**

This can be solved by partitioning one of the numbers.

Here are two tens frames showing 8 orange counters.

Here are 4 yellow counters which are going to be added to the 8 orange counters.

There are 2 empty spaces on the left hand ten frame.

8 + 2 = 10

We have used 2 of the yellow counters to make 10.

There are 2 yellow counters left over that are added to the second ten frame.

10 + 2 = 12

This shows 8 + 4 = 12

The same calculation can be solved using the part-whole model.

4 can be split into 2 and 2.

2 can be added to 8 to make 10.

8 + 2 = 10

Then the 10 can be added to the other 2 to make 12.

10 + 2 = 12

Which means 8 + 4 = 12

## Example 2

**7 + 4 = ?**

Start by working out what you need to add to 7 to make 10.

7 + ? = 10

The answer is 3.

Take this answer away from the second number in the calculation.

4 - 3 = 1

Add this answer on to 10.

10 + 1 = 11

So:

7 + 4 = 11.

This can be shown as a part-whole model like this.

# Practise

## Activity 1

Have a go at this three-question quiz to put what you've practised into action.

# Play

Test your skills on this topic even further by playing **Karate Cats Maths** - see if you can collect a new costume for your cat!

# There's more to learn

Have a look at these other resources.