Lesson

A picture can often help us to see how the numbers are changing in a pattern.

The number of squares in the picture represents the numbers in the pattern. Write the next numbers in the pattern.

a

4,\,6,\,8,\, ⬚,\, ⬚,\, ⬚

Worked Solution

b

Which of the following best describes the pattern above?

A

The numbers are doubling.

B

The numbers are increasing by 2.

Worked Solution

Let's look at some real life examples of how we can find patterns using matchsticks.

Write the next numbers in the pattern about the number of matches used to make the pattern.

a

6,\,11,\,16,\, ⬚,\,⬚,\,⬚

Worked Solution

b

Which of the following best describes the pattern above?

A

The numbers are increasing by 4

B

The numbers are increasing by 5

Worked Solution

Idea summary

Sometimes drawing a picture to represent a pattern can help us to understand how the numbers are changing.

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