Room 5 Rocks: maths

Welcome to the fractions, ratios and proportions page. Below is information about what students are expected to know by the end of year 4. For some they will be only starting out on their fractions learning, whilst for some they will be advanced beyond the year 4 requirements so will be challenged at year 5 and above learning.

By the end of year 4, a student needs to be able to:

[1] Find a fraction of a number by using repeated addition or subtraction

1/3 of 12 = 4 + 4 + 4 = 12, so 1/3 of 12 is 4

[2] Find unit fractions of a continuous region

Find 1/2, 1/3. 1/4 ... of a length or area (e.g., circle)

[3] Order unit fractions or fractions with the same denominators, and explain why they are larger or smaller

1/2 or 1/3, 1/8 or 1/12, 1/5 or 1/3
2/4 or 3/4, 5/8 or 7/8

Below are links to videos of the strategies used to solve fraction problems. To help make it easier, I have included a table

	Year 3	Year 4	Year 5
addition or multiplication /division	repeated addition ( 3+3+3+3)	repeated addition	multiplication / division 3X4 , 12 '/. 4
strategy 1	1/4 of 12 =	3/5 of 15 =	2/5 of 25 =
strategy 2		3/4 of __ = 6	3/5 of ___ = 15

The difference between year 3/4 and year 5 is that in year 3/4 addition is used to solve the answers, whereas in year 5 multiplication and division are used. The equations are essentially the same, it is what strategy that is used to solve it (addition or multiplication/ division) that is the difference.

Year 3 strategy
Repeated addition ( 3+3+3+3)
This strategy helps you to solve equations like: 1
- of 12 =
4

Year 4 strategy 1

Using repeated addition
This strategy helps you to solve equations like: 3
- of 15 = ___
5

Year 4 strategy 2

Using repeated addition
This strategy helps you to solve equations like: 3
- of ____ = 6
4

Year 5 strategy 1

Using multiplication and division
This strategy helps you to solve equations like: 2
- of 25 = ___
5

Year 5 strategy 2

Using multiplication and division

This strategy helps you to solve equations like: 3
- of ____ = 15
5

RESOURCES

Explanation of fractions

There are Adobe Reader Versions. If you don't have Adobe Reader, let me know and I will share the PowerPoint version.

How to identify fractions

How to compare fractions

Mixed fractions to fraction form 2 1/3 --> 7/3

How to add fractions