4. Comparing Fractions and Other Numbers

Remember to read the instructions for each activity as you work through them. Also don’t forget to ask for help as you need it!

After completing this unit, you should be able to confidently:

  • convert fractions to decimals
  • convert numbers into percentages
  • convert numbers into ratios
Introduction / Tuning In
Why do we need to use decimals? (V) (E)
Watch this video to see why we need to learn decimals.

Why do we need to use percentages? (V) (E)
Watch this video to see why we need to learn percentages.

Why compare fractions and decimals? (V) (E)
Why is it important to compare between fractions and decimals? This task explains.

Think about it (W)
In what ways can you express a:

  • One Half (1/2)
  • Two Thirds (2/3)
  • Three Quarters (3/4)

Remember to think of more than just the first answer. Think about how it could be written as a decimal, or a percentage if you know how.

Fractions, Decimals and Percentages (E)
Use this tool to compare fractions, decimals and percentages side by side.

Activities Conversions – Teaching Unit (U) (W)Use this unit to work through step by step examples of how to convert fractions in to decimals and percentages. Start with this task. You will need to log on to the Ultranet to access it.

How do I do it? (E) (V)
How do you convert fractions into decimals and percentages? Who better to explain than our very own Kelly!

Fraction Models – Larger than a Whole (E)
Use this tool to find different ways to write fractions that are larger than a whole.

Decimaster PLUS Match Up 3 (U) (E)
Represent decimals as fractions and models of different objects. Needs Ultranet login. Great activity!

All about Percentages! – Teaching Unit (U) (E)
Really don’t get percentages? This is the activity for you!

Wise Park (G) (E)
Represent the same numbers as fractions, decimals and percentages using the Wise Park game.

Design your own school (U) (W)
This activity focuses on the use of percentages, and how they compare to fractions. You can design your own school at the same time. Make sure you read the instructions at the bottom of the screen for this activity to make sense. When you have mastered school building, challenge yourself by building a city!

Metres and Centimetres – Decimals Factsheet (E)
Learn about converting metres into centimetres. Check out this sheet before moving on to the next task.

Metres and Centimetres – Decimals (W) (E)
Print out this task to complete. Make sure you have read the previous fact sheet before completing it. Match the distances in metres with the distances in centimetres. Remember your place value and that 1m = 100cm.

Build a Shed (G) (E)
Build a shed in this game as you convert between metres and centimetres.

Memory/Snap (G)
Play a game of memory using decimals, percentages and fractions

Conclusion Sum Up What You Know (W)
Create a poster or PowerPoint that contains a table showing what these numbers are as fractions, decimals and percentages. For example, 1/2 is also 0.5 and 50%.

  • 1/4
  • 1/8
  • 2/3
  • 7/10
  • 1 and one quarter
  • 2 and a half
  • Pick two more of your own.

Mathletics (M) (G)
Complete the following Mathletics Tasks. Remember to use the big ? button on the side if you need help!

  • Fractions – Percentages and Ratios > Percentage to Fraction
  • Fractions – Percentages and Ratios > Decimal to Percentage
  • Fractions – Decimal Numbers > Decimals to Fractions 1

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