# EdPlace's Year 1 and 2 Home Learning Maths Lesson: Find Missing Numbers in Addition and Subtraction Sentences

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**Get them started on the lesson below **and then jump **into our teacher-created activities** to practice what they've learnt. We've recommended five to ensure they feel secure in their knowledge - 5-a-day helps keeps the learning loss at bay (or so we think!).

Are they keen to start practising straight away?** Head to the bottom of the page to find the activities. **

**Now...onto the lesson!**

**Key Stage 1 Statutory Requirements for Maths**

**Years 1 and 2**

*students should be able to solve missing number problems such as 7 = ? - 9 and*

*recognise and use the inverse relationship between addition and subtraction to check calculations and solve missing number problems.*

**What is Being Asked of Your Child?**

Did you know that your child won't only learn the concept of sentences in English, but also in their maths lessons too? More specifically, they'll be faced with an addition or subtraction sentence with a missing number, in other words, what you may also know as a sum. The question is, how do you they find the missing number using the most simple and effective method? As a parent, you may well be wondering the best way to explain this in a child-friendly way so that you're child really grasps this concept?

Follow the step-by-step guide below to clarify how to solve number sentences with your child. By the end of this article we're confident that your child will be able to:

1) **U****nderstand **how to find the missing number in an addition or subtraction sentence

2) **A****pply** this understanding to **describe **the inverse relationship needed to solve the problem

3) **E****xplain** it back to you at the end!

**Step 1: The Key Terms**

Before we get going, it's crucial to check your child understands some important language we will use to complete our lesson objectives. These words form the foundations for all maths skills, so mastering these definitions early will really help your child to make progress.

**Addition**: adding two or more numbers to find a total. Think of adding as ‘putting together'.

**Subtraction**: the ‘taking away’ of one number from another to make the original number smaller. Think of ‘subtracting’ as taking apart.

**Inverse relationship**: this specifically looks at how the relationship between addition and subtraction reverses the effect of the other operation.

**Step 2: Further Explanation into Key Concepts**

To tackle this lesson, your child will also need a sound understanding of these key concepts:

**Addition**: Adding two or more given numbers together to find a **total**, we can call this the total sum of the numbers. Initially, your child will have been taught to add using concrete objects and will then have progressed onto using a number line. If they are struggling, see what you can find in the house to make this visual. We find that food items can be quite a motivating tool here!

**Subtraction**: Subtracting allows us to find the **difference **between two values. Reinforce with your child that we must always subtract the smallest number from the largest. Again, your child will have been taught to subtract using concrete objects and will then have progressed onto using a number line to count backwards.

**Number bonds**: This is the concept of pairs of numbers that go together to make a number. If we take 10 as the answer we are looking for, we find that the pairs we have are; (1, 9) (2, 8) (3, 7) (4, 6) (5 ,5) If your child knows number bonds well, it will be easy for them to use the inverse to solve a question such as 10 - ? = 3 as they will quickly recall that 7 + 3 = 10.

**Step 3: Understand the Inverse Relationship Between Addition and Subtraction**

To find a missing number in an addition or subtraction sentence, we must understand the inverse relationship between addition and subtraction.

**Inverse **means the **opposite**. It can sound like a complicated word to children so make sure to keep reinforcing this point.

For example:

Follow these **two **simple rules:

1) If there is a missing number at the **beginning **of the sentence, do the inverse!

**Check**: 60 - 20 = 40

2) If there is a missing number in the **middle **of the sentence, do a subtraction, using the numbers you have been given to solve it!

**Check**: 54 - 30 = 24

**Step 4 - Put it into Practice**** **

Now, have a go at using the rules to solve these sums together.

1) ? – 14 = 6

2) 11 + ? =20

3) ? + 32 = 50

4) 92 - ? = 54

**Step 5 - Give it a go...**

Great effort covering all this together! Now, why not challenge your child further by assigning the following 5 activities in this order?

All activities are **created by teachers and automatically marked.** Plus, with an EdPlace subscription, we can **automatically progress your child** at a level that's right for them. Sending you progress reports along the way so you can **track and measure progress, together** - brilliant!

Activity 1 - Working Out Missing Numbers: What's the Value (0-10)?

Activity 2 - Working Out Missing Numbers: What's the Value (0-20)?

Activity 3 - Working Out Missing Numbers: What's the Value (0-12)?

Activity 4 - Addition and Subtraction: Find the Missing Numbers (1)

Activity 5 - Addition and Subtraction: Find the Missing Numbers (2)

**Answers**

1) 20 – 14 = 6

2) 11 + 9 = 20

3) 18 + 32 = 50

4) 92 – 38 = 54

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