teaching resource

Fraction, Percentage and Decimal Circles

Updated: 19 Apr 2023

A set of fraction, decimal, and percentage circles to use with your students when teaching equivalency.

Non-Editable: PDF
Pages: 20 Pages
Grades: 3 - 6

Curriculum

CCSS.MATH.CONTENT.3.NF.A.1

Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
CCSS.MATH.CONTENT.3.NF.A.3.B

Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
CCSS.MATH.CONTENT.4.NF.A.1

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to ...
CCSS.MATH.CONTENT.4.NF.A.2

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions ref...
CCSS.MATH.CONTENT.4.NF.B.3.B

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/...
CCSS.MATH.CONTENT.4.NF.B.4.A

Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
CCSS.MATH.CONTENT.5.NF.B.4

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Math 3.3(C)

Explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number;
Math 3.3(D)

Compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b;
Math 3.3(F)

Represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines;
Math 4.3(B)

Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations;
Math 4.3(C)

Determine if two given fractions are equivalent using a variety of methods;
Math 4.3(D)

Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or
Math 5.3(I)

Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;
Math 6.5(C)

Use equivalent fractions, decimals, and percents to show equal parts of the same whole.

teaching resource

Fraction, Percentage and Decimal Circles

Updated: 19 Apr 2023

A set of fraction, decimal, and percentage circles to use with your students when teaching equivalency.

Non-Editable: PDF
Pages: 20 Pages
Grades: 3 - 6

A set of fraction, decimal, and percentage circles to use with your students when teaching equivalency.

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 in a variety of file options. These include:

Fractions, Decimals and Percentages Color PDF
Fractions and Decimals only Color PDF
Fractions, Decimals and Percentages Black-and-White PDF
Fractions and Decimals only 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 your preferred version of this resource.

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

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 perfect for math centers.

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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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Math Mazes (Equivalent Fractions, Decimals, and Percentages)

Determine equivalent fractions, decimals, and percentages with this puzzling math maze.

Curriculum

CCSS.MATH.CONTENT.3.NF.A.1

Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
CCSS.MATH.CONTENT.3.NF.A.3.B

Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
CCSS.MATH.CONTENT.4.NF.A.1

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to ...
CCSS.MATH.CONTENT.4.NF.A.2

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions ref...
CCSS.MATH.CONTENT.4.NF.B.3.B

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/...
CCSS.MATH.CONTENT.4.NF.B.4.A

Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
CCSS.MATH.CONTENT.5.NF.B.4

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Math 3.3(C)

Explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number;
Math 3.3(D)

Compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b;
Math 3.3(F)

Represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines;
Math 4.3(B)

Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations;
Math 4.3(C)

Determine if two given fractions are equivalent using a variety of methods;
Math 4.3(D)

Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or
Math 5.3(I)

Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;
Math 6.5(C)

Use equivalent fractions, decimals, and percents to show equal parts of the same whole.

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