teaching resource

Fraction, Percentage and Decimal Wheels

Updated: 31 Aug 2023

Explore equivalent fractions, decimals and percentages with this set of wheels perfect for hands-on learning.

Non-Editable: PDF
Pages: 32 Pages
Years: 5 - 6

Curriculum

VC2M3N03

Recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5, and 1/10 and their multiples in different ways; combine fractions with the same denominator to complete the whole <ul> <li>recognising that unit fractions represent equal parts of a whole; for example, one-third is one of 3 equal parts of a whole</li> <li>representing unit fractions and their multiples in different ways; for example, using a Think Board to represent three-quarters using a diagram, concrete materials, a situation and fraction notation</li> <li>cutting objects such as oranges, sandwiches or playdough into halves, quarters or fifths and reassembling them to demonstrate (for example, two-halves make a whole, four-quarters make a whole), counting the fractions as they go</li> <li>sharing collections of objects, such as icy pole sticks or counters, between 3, 4 and 5 people and connecting division with fractions; for example, sharing equally between 3 people gives 1/3 of the collection to each and sharing equally between 5 people gives 1/5 of the collection to each</li> </ul>
VC2M4N03

Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation <ul> <li>extending fraction families within collections of materials, for example, by seeing 3/4 as 3 in each 4, showing this within related fractions like 6/8 or seeing that 2/5 means 2 in each 5 so it can be shown within 4/10</li> <li>creating models of equivalent fractions by subdividing capacity measures into smaller fractions; for example, half a cup of flour could be shown as two-quarters or four-eighths of a cup of flour</li> <li>folding paper to show equivalence between different fractions; for example, folding A4 paper in half and half again, repeating to form eighths and demonstrating that 4/8 = 2/4 = 1/2; or folding paper strips into fifths and tenths, and recording as both fractions and decimals</li> <li>identifying and using the connection between fractions of metres and decimals; for example, finding 1/4 of a metre and connecting this to 0.25 metres or 25 centimetres, or finding 1/10 of a metre and connecting this with 0.10 metres or 10 centimetres</li> <li>using array diagrams to show the relationship between fractions and division and multiplication of natural numbers, for example, 3 × 4 = 12, 12 ÷ 4 = 3,1/4 of 12 is 3, 1/3 of 12 is 4</li> </ul>
VC2M5N04

Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents <ul> <li>recognising applications of percentages used in everyday contexts, for example, the bar model used for charging devices indicating the percentage of power remaining, and advertising in retail contexts relating to discounts or sales</li> <li>creating a model by subdividing a whole (for example, using 10 × 10 grids to represent various percentage amounts) and recognising complementary percentages (such as 30% and 70%) combine to make 100%</li> <li>creating a model by subdividing a collection of materials, such as blocks or money, to connect decimals and percentage equivalents of tenths and the commonly used fractions 1/2, 1/4, and 3/4; for example, connecting that one-tenth or 0.1 represents 10% and one-half or 0.5 represents 50%, and recognising that 60% of a whole is 10% more of the whole than 50%</li> <li>using physical and virtual materials to represent the relationship between decimal notation and percentages, for example, 0.3 is 3 out of every 10, which is 30 out of every 100, which is 30%</li> </ul>

teaching resource

Fraction, Percentage and Decimal Wheels

Updated: 31 Aug 2023

Explore equivalent fractions, decimals and percentages with this set of wheels perfect for hands-on learning.

Non-Editable: PDF
Pages: 32 Pages
Years: 5 - 6

Explore equivalent fractions, decimals and percentages with this set of wheels perfect for hands-on learning.

Create a Fractions, Decimals and Percentages Display

Fractions, percentages and decimals can be challenging concepts for students to understand. That’s where Teach Starter’s Fractions, Decimals and Percentages Wheels can help!

Explore our comprehensive set of fraction, decimal and percentage circles designed to enhance your teaching of equivalency concepts. These circles serve as powerful visual aids, offering an engaging way for your students to grasp the relationships between fractions, decimals and percentages.

To make the most of this resource, simply print the circles on durable card and cut out each piece. Attach a small magnetic strip to the back of each circle, allowing for easy use on a magnetic whiteboard. This hands-on approach enables you and your students to manipulate the pieces, providing a dynamic learning experience as you showcase various equivalencies.

The fraction, percentage and decimal wheels included in this resource are:

Wholes – 1 Whole, 100%, 1/1
Halves – 50%, 0.5, 1/2
Quarters – 25%, 0.25, 1/4
Fifths – 20%, 0.2, 1/5
Eighths – 12.5%, 0.125, 1/8
Tenths – 10%, 0.1, 1/10

This resource downloads as either a full-colour or black-and-white PDF.

Suggested Uses for These Fractions, Decimals and Percentages Wheels

Fraction Composition and Decomposition – Use the circles to demonstrate how to compose and decompose fractions. For example, show how 1/2 is equivalent to 2/4 or 0.5. Challenge students to find multiple ways to compose a whole using the circles, fostering a deeper understanding of fraction relationships.
Interactive Games – Develop games like ‘Fraction Memory’ where students match visual representations of equivalent fractions, decimals and percentages. Incorporate a time element for added excitement, encouraging quick thinking and recognition.
Fraction Talks – Conduct ‘Fraction Talks’ where students discuss and explain their thinking about different sets of circles, promoting mathematical discourse. Encourage students to justify their reasoning and debate equivalencies with their peers.
Create a Classroom Display – Have students collaboratively create a colorful display showcasing different sets of equivalent fractions, decimals and percentages using the circles. Display the work prominently in the classroom to serve as a visual reference throughout the unit.

Remember to foster a positive and collaborative learning environment, encouraging students to explore, discuss and connect their understanding of fractions, decimals and percentages using these interactive circles.

Fractions on paper plates - Teach Starter

Download and Prepare This Fractions, Decimals and Percentages Activity

Use the dropdown menu on the Download button to access either the full-colour or black-and-white versions of these fractions, decimals and percentages circles.

We recommend using thick card to increase the longevity and durability of the resource.

More Great Fractions, Decimals and Percentages Activities for Your Classroom

Are you keen to get your hands on some more engaging fractions, decimals and percentages resources for your primary school classroom? Click below to explore some curriculum-aligned, teacher-created resources!

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Fraction, Decimal and Percentage Match-Up Game

Get students converting fractions, decimals and percentages with this hands-on maths game aligned with the upper primary maths curriculum.

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I Have, Who Has? Game - Fraction, Decimal and Percentage Equivalence

Reinforce students' understanding of fraction, decimal and percentage equivalence with a whole-class game.

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Maths Mazes (Equivalent Fractions, Decimals and Percentages)

Determine equivalent fractions, decimals and percentages in this puzzling maths maze.

Curriculum

VC2M3N03

Recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5, and 1/10 and their multiples in different ways; combine fractions with the same denominator to complete the whole <ul> <li>recognising that unit fractions represent equal parts of a whole; for example, one-third is one of 3 equal parts of a whole</li> <li>representing unit fractions and their multiples in different ways; for example, using a Think Board to represent three-quarters using a diagram, concrete materials, a situation and fraction notation</li> <li>cutting objects such as oranges, sandwiches or playdough into halves, quarters or fifths and reassembling them to demonstrate (for example, two-halves make a whole, four-quarters make a whole), counting the fractions as they go</li> <li>sharing collections of objects, such as icy pole sticks or counters, between 3, 4 and 5 people and connecting division with fractions; for example, sharing equally between 3 people gives 1/3 of the collection to each and sharing equally between 5 people gives 1/5 of the collection to each</li> </ul>
VC2M4N03

Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation <ul> <li>extending fraction families within collections of materials, for example, by seeing 3/4 as 3 in each 4, showing this within related fractions like 6/8 or seeing that 2/5 means 2 in each 5 so it can be shown within 4/10</li> <li>creating models of equivalent fractions by subdividing capacity measures into smaller fractions; for example, half a cup of flour could be shown as two-quarters or four-eighths of a cup of flour</li> <li>folding paper to show equivalence between different fractions; for example, folding A4 paper in half and half again, repeating to form eighths and demonstrating that 4/8 = 2/4 = 1/2; or folding paper strips into fifths and tenths, and recording as both fractions and decimals</li> <li>identifying and using the connection between fractions of metres and decimals; for example, finding 1/4 of a metre and connecting this to 0.25 metres or 25 centimetres, or finding 1/10 of a metre and connecting this with 0.10 metres or 10 centimetres</li> <li>using array diagrams to show the relationship between fractions and division and multiplication of natural numbers, for example, 3 × 4 = 12, 12 ÷ 4 = 3,1/4 of 12 is 3, 1/3 of 12 is 4</li> </ul>
VC2M5N04

Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents <ul> <li>recognising applications of percentages used in everyday contexts, for example, the bar model used for charging devices indicating the percentage of power remaining, and advertising in retail contexts relating to discounts or sales</li> <li>creating a model by subdividing a whole (for example, using 10 × 10 grids to represent various percentage amounts) and recognising complementary percentages (such as 30% and 70%) combine to make 100%</li> <li>creating a model by subdividing a collection of materials, such as blocks or money, to connect decimals and percentage equivalents of tenths and the commonly used fractions 1/2, 1/4, and 3/4; for example, connecting that one-tenth or 0.1 represents 10% and one-half or 0.5 represents 50%, and recognising that 60% of a whole is 10% more of the whole than 50%</li> <li>using physical and virtual materials to represent the relationship between decimal notation and percentages, for example, 0.3 is 3 out of every 10, which is 30 out of every 100, which is 30%</li> </ul>

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4 Comments

Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.

alex Brindley · 9 years ago

Great resource! Is there any chance you could add a wheel with eighths?
- Jill (Teach Starter) · 9 years ago
  
  Hi Alex, Thanks for your suggestion. We have added wheels with eighths on them for you. Kind regards Jill
Leonie Kingston-Yates · 11 years ago

fraction