 # 8.02 Missing numbers

Lesson

## Ideas

Being able to find the number that we are skip counting by can help us find missing numbers. Let's give it a try.

### Examples

#### Example 1

Write the next number in the pattern:

8,10,12,⬚,⬚,⬚

Worked Solution
Create a strategy

Find how much the numbers are increasing by each time and add that to the last value to complete the pattern.

Apply the idea

To work out how much the numbers are increasing by each time, you can count up or find the difference between the numbers.

The complete pattern is 8,\,10,\,12,\,14,\,16,\,18.

## Find missing numbers

Let's look now at how we can continue patterns to find missing numbers.

### Examples

#### Example 2

Complete the pattern below.

20,⬚, 44,⬚

Worked Solution
Create a strategy

Find the size of one jump and add that to the given values to complete the pattern.

Apply the idea

We are given two numbers in the pattern that are two jumps apart.

The difference between the two given numbers is 24. The size of one jump will be half of this which is 12.

The complete pattern is 20,\,32,\,44,\,56.

Idea summary

To find the pattern, think about how the numbers are changing- are they getting bigger or smaller? Then you can work out the missing values.

### Outcomes

#### MA2-8NA

generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values