5. Fractions

Lesson

To be able to identify patterns with fractions, it will help us if we can add and subtract fractions . Let's try this problem to review.

What is \dfrac{1}{12} + \dfrac{1}{12}?

Worked Solution

Idea summary

We can add or subtract fractions by using area models.

Just like we did with whole numbers, we can explore, continue and create patterns with fractions. Let's start by looking at tenths and hundredths.

Create a pattern by adding \dfrac{1}{10} each time.

\dfrac{3}{10}, \,\dfrac{4}{10}, \,⬚, \, ⬚, \,⬚

Worked Solution

Idea summary

We can create patterns with fractions by adding or subtracting the same fraction each time.

We can also use the area models to represent fraction patterns, this video shows us how.

Which fraction comes next in the pattern?

A

B

C

D

Worked Solution

Idea summary

Area models can be used to represent fractions in a pattern.

This video shows an example of what to look for when trying to determine the pattern in a sequence of fractions.

Complete the pattern:

\dfrac{1}{7},\,\dfrac{2}{7},\,\dfrac{3}{7},\,⬚,\,⬚,\,⬚

Worked Solution

Idea summary

So to complete a pattern with fractions, we need to:

Find the pattern - which will either be given or which will need to be found by looking at the list of numbers.

Continue the pattern - using the pattern that you found.

compares, orders and calculates with fractions, decimals and percentages

analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane