Year 3 Fractions
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Fractions in Year 3 (age 7–8)
What your child will learn
Understand and count in tenths.
In Year 3, your child will learn to count in tenths. They will understand that finding a tenth is the same as dividing by ten (by dividing objects, sets of objects, and numbers into ten equal parts).
This will help them to keep seeing the connection between fractions and division. It is possible that your child will start to be introduced to decimals at this stage, too.
Find fractions of a set of objects
Your child will learn to find and write fractions of a given number of objects. For example:
Find of 15. First, your child can find of 15 by dividing the total by the denominator : 15 ÷ 5 = 3. Then, they can multiply this result by the numerator to find the correct fraction: If of 15 is 3, then of 15 is 3 × 2 = 6. of 15 is therefore 6.
Your child will be able to do this with unit and non-unit fractions. They will learn that:
Use fractions as numbers
Your child will be able to do this with unit and non-unit fractions:
Show equivalent fractions using diagrams
They’ll show their understanding of equivalent fractions by drawing diagrams like this:
Your child will also learn to use objects and fraction walls to show equivalent fractions.
Add and subtract fractions with the same denominator
Compare and order fractions
Solve problems that involve all of the above.
Finally, your child will learn to put all this learning into practice by solving problems involving fractions.
They will be able to relate fractions to division, count in fractional steps (for example, counting up and down in tenths), compare fractions, understand unit and non-unit fractions , understand equivalent fractions, find fractions of amounts, and add and subtract fractions with the same denominator.
How to help at home
There are lots of everyday ways you can help your child to understand fractions. Here are just a few ideas.
1. Make fraction snowflakes
Paper folding can be a great way to explore fractions.
Decorate a piece of paper or card and then ask your child to fold the paper into different equal parts. For example, they could fold the paper into fifths by creating five equal sections. Ask them to show you a fifth, two-fifths, three-fifths, four-fifths, and five-fifths, which they can see is equivalent to a whole.
Challenge your child by giving the paper a value and asking them to work out what the fractions would be worth. What would one fifth represent if the whole paper had a value of 10? As they fold, they may like to cut patterns into the paper to make a ‘snowflake’ and watch the pattern develop as they fold further.
2. Have fun with food
Cake, pizza, or any foods with a regular shape can help children understand what fractions are and how they work. Ask your child questions like, ‘If I cut our cake into 8 pieces, what fraction will each piece be?’
Foods that people eat lots of can help your child understand how to find fractions of amounts. For example:
‘We have 12 fish fingers in the packet. There are 4 of us. What fraction of the fish fingers can we each have? How many fish fingers would that be?’
Activity: Cupcake fractions
3. Compare fractions together
In Year 3, your child will compare unit fractions and fractions with the same denominator by saying which fraction is bigger or smaller – and explaining how they know.
4. Fraction countdown
‘Would you prefer it if I cut this cake into ten equal pieces and gave you a piece, or if I cut the cut into two equal pieces and gave you a piece?’
Print out the Fraction Match activity sheet and cut out each fraction card. Take a selection of cards and see if your child can put them all in order, either from largest to smallest or smallest to largest. Are there any equivalent fractions? See if your child can match them up.
Activity: Fraction Match
5. Make a fraction wall
Equivalent fractions are different fractions that have the same value. In Year 3, your child will learn about equivalent fractions with small denominators using drawings and diagrams.
Why not try making a fraction wall with your child? You could investigate using the computer to make your fraction wall by creating a table and splitting each row into the equal number of parts you need. For example, to represent fifths, you would have to split the whole row into five equal parts.
Alternatively, you can download our fraction wall below.
Fraction wall
6. Adding and subtracting fractions
Try adding and subtracting fractions with the same denominator with your child. Try to do this within a whole, i.e. make sure that the sum uses numbers less than one, including the answer.
Using drawings or diagrams can help your child visualise adding and subtracting fractions. For example:
+ = This could be calculated using a diagram like this: Y our child will first split the whole into five equal parts. Your child can then shade one box to represent and two boxes to represent . They will then be able to see that the total is .
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Year 3: Fractions
New Maths Curriculum (2014): Year 3 objectives.
Pupils should connect tenths to place value and decimal measures, not restricted to decimals between 0 and 1 inclusive and to division by 10.
They should begin to understand unit and non-unit fractions as numbers on the number line, and deduce relations between them, such as size and equivalence. They should go beyond the [0, 1] interval, and 1/4 + 3/4 = 1 for example, relating this to measure.
Pupils should understand the relation between unit fractions as operators and division by integers.
They should continue to recognise fractions in the context of parts of a whole, numbers, measurements, a shape, or unit fractions as a division of a quantity.
Pupils should practise adding and subtracting fractions with the same denominator through a variety of increasingly complex problems to improve fluency.
Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators, recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators, recognise and show, using diagrams, equivalent fractions with small denominators, add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7), compare and order unit fractions, and fractions with the same denominators, solve problems that involve all of the above.
Fraction Worksheets for Year 3 (age 7-8)
Children coming into Year 3 should have a sound understanding of simple fractions, especially halves, quarters and thirds. They should have had plenty of practical experience dividing shapes and sets of objects into quarters and thirds.
There are plenty of new concepts on fractions to be understood in Year 3,but it is still important to use practical work, using shapes and objects, to help with understanding. A key step is to begin working with tenths and recognising that tenths arise from dividing an object into ten equal parts. Later this can be developed to dividing one-digit numbers or quantities by 10. This is crucial for understanding our decimal system and understanding that a fraction such as three tenths can also be represented as a decimal (0.3) and connects to dividing 3 by 10. Counting in tenths can also help enormously with this. We have a great selection of worksheets which deal with writing tenths, counting in tenths and converting tenths to decimals.
Other fractions are also introduced, such as fifths, and equivalence between fractions is developed with the help of pictures and diagrams. This leads on to ordering fractions with the same denominator. One of the quirks of fractions, which some children find hard to understand, is that as the denominator gets larger the size of the number gets smaller (e.g. one tenth is smaller than one fifth; one twentieth is smaller than one tenth and so on). We have some excellent ordering fractions pages for Year 3 to help consolidate this concept. As well as these, some of our most popular worksheets are the sets of finding fractions of numbers, with questions such as ‘What is one sixth of 30?’ Again, the link between fractions and division needs to be constantly reinforced.
As the year progresses children will be introduced to adding and subtracting fractions, but only with the same denominator and with totals up to one whole one. Simplifying fractions is important at this stage and children should be encouraged to write fractions in their simplest form. (e.g. two sixths can be simplified to one third).
All this will lead onto much more on decimals and fractions in Year 4, including hundredths and further work on equivalence. If you child is finding the Year 3 work difficult then it is important to go back to Year 2, or even Year 1, and see what is understood and what concepts have not been fully understood.
Understand fractions and equivalent fractions
Understanding fractions and work on the importance of equivalent fractions.
Colour the correct fractions to match the sequences.
Various fraction problems.
Tricky work on equivalent fractions.
Order fractions with the same denominator.
Order simple fractions.
A little bit of revision on reading and writing fractions.
Understanding halves, quarters and thirds
Revision of work on halves, quarters and thirds.
Finding halves, quarters and thirds of numbers of bees etc..
More finding halves, quarters and thirds.
More finding halves, quarters and thirds - fun colouring.
Some tricky word problems using halves and quarters.
Ordering fractions as more than, equal to or less than a half.
Understanding tenths
Understanding tenths and counting in tenths.
Chocolate cakes to help with understanding tenths.
Colouring tenths of various shapes.
Introducing tenths by colouring one tenth; then finding six tenths, seven tenths etc of shapes. Finding out that five tenths is the same as a half.
Writing tenths in words and as a fraction.
Finding tenths of various animals.
Finding tenths of numbers of objects.
Looking at tenths as decimals and fractions.
Matching fractions and decimals. ordering fractions and decimals.
Counting on in tenths.
Estimating tenths on a number line.
Find fractions of amounts and numbers
Finding fractions of amounts.
Shading quarters, thirds or fifths of various shapes.
Finding fractions of shapes. Makes a change from numbers!
A non-unit fraction is any fraction which does not have one as a numerator.
Find fractions of pizzas.
More pizzas, this time concentrating on fifths and sixths.
Finding fractions of an allotment: equivalent fractions.
Finding fractions of numbers. Working with halves, quarters, thirds and tenths. Remember, to find one fifth, divide by 5.
More finding fractions of numbers.
Solving word problems involving fractions.
Adding and subtracting fractions
Begin to add and subtract fractions with the same denominator.
Use the bar models to help with adding fractions.
Adding fractions with visual clues.
Adding fractions with the same denominator.
More adding fractions with the same denominator.
Subtracting fractions with the same denominator.
More subtracting fractions with the same denominator.
A mixture of addition and subtraction of fractions with the same denominator.
Help for adding fractions of a number of objects.
More addition questions using objects.
Food is thew theme for this set of addition of fractions.
The statutory requirements for fractions in Year 3.
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Year 3 – Fractions
Welcome to Year 3 Fractions, Decimals and Percentages at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support Fractions, Decimals and Percentages lessons in Year 3 and at home.
If there’s a resource you’d like to see here, just visit our ‘Request a Resource’ page and Primary Maths Hub will create the resource and add it to the site.
Do Now Tasks / Starters
Fraction Addition Do Now Tasks
Differentiated question sets.
Fraction of a Number Question Set
Adding Fractions Question Set
Subtracting Fractions Question Set
Adding and Subtracting Fractions Question Set
Understanding fractions.
Strips- Understand One Half
Strips- Understand One Quarter
Strips- Understand One Third
Strips- Understand One Fifth
Understand Numerator
Understand Numerator
Understand the Numerators of Non-Unit Fractions Reasoning
Partition the Whole- Shaded and Unshaded
Fractions of a number.
Find Unit Fraction of Objects
Find Unit Fraction of Shapes
Find Unit Fraction of Numbers
Fading Scaffolding Strips- Find Non-Unit Fractions of Numbers
Fading Scaffolding Strips- Find Unit Fractions of Numbers
Add fractions.
Strips- Add Fractions with the Same Denominator
Fading Scaffolding Strips- Add Fractions with the Same Denominator
Subtract fractions.
Strips- Subtract Fractions with the Same Denominator
Fading Scaffolding Strips- Subtract Fractions with the Same Denominator
Mixed add and subtract fractions.
Strips- Add and Subtract Fractions with the Same Denominator
Counting Forwards and Backwards in Tenths
Ordering fractions.
Fading Scaffolding Strips- Order Unit Fractions
Compare fractions.
Faded Scaffolding Strips- Compare Unit Fractions
Compare Unit Fractions
Faded Scaffolding Strips- Compare Fractions With the Same Denomintator
Decimal sequences.
Fading Scaffolding Strips- Decreasing Decimal Sequences- Missing Values
Fading Scaffolding Strips- Decreasing Decimal Sequences- Next 2 Values
Fading Scaffolding Strips- Increasing and decreasing Decimal Sequences- Missing Values
Fading Scaffolding Strips- Increasing and Decreasing Decimal Sequences- Next 2 Values
Fading Scaffolding Strips- Increasing Decimal Sequences- Missing Values
Fading Scaffolding Strips- Increasing Decimal Sequences- Next 2 Values
Equality and inequality statements.
Equality and Inequality Statement Matching- Comparing Fractions
Adding and Subtracting (Eighths)- Equality and Inequality Statement Matching
Equality and Inequality Statement Matching- Unit Fractions of Numbers
Understand Denominator – Reasoning
Add Fractions Reasoning
Subtract Fractions Reasoning
Word problems and challenges.
Adding and Subtracting From the Whole Word Problems
Add and Subtract Fractions With the Same Denominator Word Problems
Resources to support fractions, decimals and percentages.
Fading Scaffolding Strips- Times Tables as Fraction
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Year 3 Fraction Word Problems
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
22 February 2018
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Great selection and good differentiation sheet. Answers would have been nice to save even more time but thanks for doing this.
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COMMENTS
Reasoning and Problem Solving Step 8: Fraction of an Amount 2. National Curriculum Objectives: Mathematics Year 3: (3F1c) Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators Mathematics Year 3: (3F1b) Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit ...
Greater Depth Explain reasons for agreeing or disagreeing with a statement. Comparing unit fractions or fractions with the same denominator within twelfths using knowledge of equivalent fractions. Some pictorial support. Questions 2, 5 and 8 (Problem Solving) Developing Complete the sequence. Comparing unit fractions or fractions with the same ...
Images arranged randomly. Questions 2, 5 and 8 (Problem Solving) Developing Complete the table showing fractions in numbers, words and shapes. Using only halves, thirds and quarters. Expected Complete the table showing fractions in numbers, words and shapes. Various unit and non-unit fractions used. Images organised in grids.
Age range: 7-11. Resource type: Worksheet/Activity. File previews. zip, 7.94 MB. These ready-to-use worksheets allow teachers to provide tasks to Year 3 children on the maths topic of 'Unit and non-unit fractions'. They form part of a series of lessons on Fractions which include coverage of the objectives: • Count up and down in tenths ...
In this pack, you'll find 9 x Year 3 fraction word problems and a full answer sheet. Each fraction word problem is illustrated and based on something your pupils will be familiar with (favourite foods, family, sports and games). Real-world examples like these help children visualise the fractions, which makes it easier for them to apply their learning and solve the problems. These ...
To find a unit fraction of an amount, you divide the total amount into equal groups. For example, when finding 1/4 of 40, the total amount is 40. To find one quarter of this, you divide 40 into 4 equal groups, giving the answer 10. To visually represent this calculation, children can use 4 equal parts of a bar model to show that 40 is being ...
The lesson pack includes a lesson plan, supporting presentation, activity sheets and our Diving into Mastery resources which provide fluency, reasoning and problem-solving activities. It meets the year 3 national curriculum aim for maths 'Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators'.
Challenge your Year 3 students with this Fractions PowerPoint. The resource features a range of maths mastery activities based around the Year 3 objective: compare and order unit fractions and fractions with the same denominators. You'll find clear instructions that'll help your children to order unit fractions. It's an important area of Year 3 Maths, so you'll want to make sure the resources ...
recognise and show, using diagrams, equivalent fractions with small denominators. add and subtract fractions with the same denominator within one whole. compare and order unit fractions, and fractions with the same denominators. solve problems that involve all of the above. Year 3 (Y3) fractions worksheets and resources.
3. Compare fractions together. In Year 3, your child will compare unit fractions and fractions with the same denominator by saying which fraction is bigger or smaller - and explaining how they know. You could show your child fractions like and and ask them to explain which fraction is bigger. Many children may incorrectly believe a fifth is bigger than a third because they see a five and ...
New Maths Curriculum (2014): Year 3 objectives. Pupils should connect tenths to place value and decimal measures, not restricted to decimals between 0 and 1 inclusive and to division by 10. They should begin to understand unit and non-unit fractions as numbers on the number line, and deduce relations between them, such as size and equivalence.
In 'Comparing and Ordering Unit Fractions - Year 3' pupils practise comparing and ordering unit fractions. This teaching resource covers the year 3 curriculum objective in the maths programme of study and supports the White Rose small steps guidance for year 3 - Spring - Block 3 - Fractions A. Content includes: PowerPoint presentation.
Year 3 KS2 Maths Fractions learning resources for adults, children, parents and teachers. ... Find out the difference between unit, non-unit and mixed fractions. Maths of the Day: Football Fractions.
National Curriculum Objectives: Mathematics Year 3: (3F1b) Recognise, find and write fractions of a discrete set of objects: unit fractions Mathematics Year 3: (3F1c) Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators Mathematics Year 3: (3F10) Solve problems that involve 3F1 - 3F4.
Reasoning and Problem Solving Unit and Non-Unit Fractions Reasoning and Problem Solving Unit and Non-Unit Fractions Developing 1a. False, because there is no representation for . 2a. 3a. Yes because one out of three of the toys is a yoyo, which is a unit fraction. Expected 4a. False, because there is no representation for . 5a. 6a.
Over 50 pages of fraction worksheets for year 3. Finding tenths of numbers, equivalence, adding and subtracting fractions. ... A non-unit fraction is any fraction which does not have one as a numerator. 4 pages ... Solving word problems with fractions Solving word problems with fractions ...
Reasoning and Problem Solving - Fractions on a Number Line - Teaching Information. I start on 1 and 2 count on 1 half, I will end up on 3. 1b. Simon says, 4 count on 2 more quarters, I will end up on 2. 2a.Cheng runs in a race. the finishing line. Show Cheng's race on the blank number line. 2b.
National Curriculum Objectives: Mathematics Year 3: (3F4) Add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7 ] Mathematics Year 3: (3F10) Solve problems that involve the above objectives. Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Subtract fractions using a visual image ...
Expected Solve a word problem that requires adding three fractions where the denominator is less than 12. Greater Depth Solve a word problem that requires adding three fractions where the denominator is less than 12 when in its simplest form (where one equivalent fraction needs simplifying). More Year 3 Fractions resources. Did you like this ...
Welcome to Year 3 Fractions, Decimals and Percentages at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support Fractions, Decimals and Percentages lessons in Year 3 and at home. If there's a resource you'd like to see here, just visit our 'Request a Resource' page and Primary Maths Hub will create the resource and add it to the site.
Mathematics Year 3: (3F4) Add and subtract fractions with the same denominator within one whole Mathematics Year 3: (3F10) Solve problems that involve the above objectives Differentiation: Developing Questions to support ordering unit fractions or fractions with the same denominator. Halves, quarters and thirds only. With pictorial support.
Greater Depth Spot the errors in a row of equivalent fractions and explain the answer. Including fractions that are equivalent to simplified fractions up to twelfths, where the simplified fraction is not always given. Questions 3, 6 and 9 (Problem solving) Developing Use a set of digit cards to make an equivalent fraction to the one given.
Differentiated fraction word problems for year 3. Problems involve single step and multi-step. Creative Commons "Sharealike" Reviews. 4.8 Something went wrong, please try again later. Gareth Mottram. 3 years ago. report. 5. Great selection and good differentiation sheet. Answers would have been nice to save even more time but thanks for doing ...