## 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

## Round 2-Digit to the Nearest 10 Reasoning

Round 3-digit to the nearest 10 reasoning , word problems and challenges.

## Adding and Subtracting From the Whole Word Problems

## Add and Subtract Fractions With the Same Denominator Word Problems

Steps to success.

## Add Fractions- Steps to Success

## Compare Non-Unit Fractions- Steps to Success

## Compare Unit Fractions- Steps to Success

## Find a Non-Unit Fraction of an Amount- Steps to Success

## Find a Unit Fraction of an Amount- Steps to Success

## Identify Fractions on a Number Line- Steps to Success

## Order Non-Unit Fractions- Steps to Success

## Order Unit Fractions- Steps to Success

## Subtract Fractions- Steps to Success

## Understand the Numerator- Steps to Success

## Understand the Whole- Steps to Success

Resources to support fractions, decimals and percentages.

## Fading Scaffolding Strips- Times Tables as Fraction

Can't find what you are looking for.

## Fraction of Amounts Practice Questions

Click here for questions, click here for answers.

## GCSE Revision Cards

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## Fractions of an Amount 3 Lesson

This Year 3 Fractions of an Amount 3 lesson covers the prior learning of identifying non-unit fractions, before moving onto the main skill of finding non-unit fractions of an amount.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

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 fractions with small denominators

Mathematics Year 3: (3F10) Solve problems that involve 3F1 - 3F4

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## Lesson Slides

These lesson slides guide pupils through the prior learning of place value of identifying non-unit fractions, before moving onto the main skill of finding non-unit fractions of an amount. There are a number of questions to check pupils' understanding throughout.

## Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

## Interactive Animation Activity

This Year 3 Fractions of an Amount Interactive Animation consists of four questions to consolidate pupils' understanding of calculating fractions of amounts.

## 1 Prior Learning

## Video Tutorial

In this Fractions of an Amount 1 Video Tutorial, Vanessa shows pupils how to use bar models and furry creatures to find fractions of amounts. She uses key vocabulary including numerator, denominator and unit fraction.

## Interactive Activity

This Year 3 Fractions of an Amount interactive game test pupils' understanding of finding unit fractions of given amounts.

## 2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

This Fractions of an Amount Reasoning Practice interactive game checks pupils’ understanding and reasoning of finding fractions of amounts. The activity and step focus on unit fractions only.

This Year 3 Fractions of an Amount interactive game checks pupils’ understanding of finding non-unit fractions of real life contexts.

## 2 Reasoning & Problem Solving

This fractions of an amount 3 extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the fractions of an amount 3 lesson.

## Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of finding non-unit fractions of an amount.

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

## Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

## Challenge Activity

This Year 3 Fractions of an Amount 3 Maths Challenge is designed to check pupils' understanding of finding unit and non-unit fractions.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

## 2 Additional Activities

## Consolidation Pack

These Fractions worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 3 Spring Block 5.

## Home Learning Pack

This Summer week 2 Maths pack contains varied fluency, reasoning and problem solving worksheets.

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## Unit and non-unit fractions worksheets (Year 3 Fractions)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

27 January 2020

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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; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10 • Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators Solve problems that involve all of the above. These worksheets are available as part of the Unit and non-unit fractions lesson pack.

The worksheets are editable, giving you the option to make any changes you feel necessary with the knowledge you have about your class and school setting.

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## IMAGES

## VIDEO

## COMMENTS

Reasoning and Problem Solving Fraction of an Amount 2 Reasoning and Problem Solving Fraction of an Amount 2 Developing 1a. Alex spends £12, he has £8 left. Julia spends £4, she has £16 left. 2a. 6 3a. Hasan is correct. Olivia has calculated how many have been sold. Expected 4a. Steph spends £12, she has £28 left. Jake spends £16, he has ...

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.

He should have shared his tens counters equally and then his ones counters equally, giving 3 equal groups of 42. 8b. Various answers, for example: 64 and. 32 9b. 36 because one quarter of 36 is 8. Reasoning and Problem Solving - Fractions of an Amount 1 ANSWERS.

Written to support the new White Rose Maths scheme of learning, this fantastic Diving into Mastery teaching pack supports step 6 'Reasoning with fractions of an amount' from summer block 1, Fractions B. A Powerpoint and corresponding activity sheets are included to develop fluency, reasoning and problem-solving skills. A fantastic resource for any year 3 teacher.

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 ...

ion represented by a group of objects.To find a fraction of a set of objects you need to: Step one: find the total number of objects - this will pro. ide the denominator for your fraction. e total amount of objects = 1 whole. Step two: find the amount of objects you are wanting to calculate as the fracti.

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.

pdf, 5.98 MB. Specifically crafted for Year 3 mathematics students, this comprehensive resource features a meticulously designed lesson plan, PowerPoint presentation, and purposeful independent worksheets. Dive into the world of solving word problems to find fractions of amounts, engaging students in practical application and critical thinking.

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 ...

These handy resources on fractions for Year 3 (Ages 7 - 8) contain activities and worksheets that can help you teach your child at home in an engaging manner. ... Area and Perimeter Ages 7 - 8 (Year 3) Problem-Solving and Maths Games Ages 7 - 8 (Year 3) Decimals Ages 7 - 8 ... Introduction to Fractions of Amounts - Finding Three Quarters ...

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. ... Find fractions of amounts and numbers. Finding fractions of amounts. 2 pages ... Solving word problems with fractions Solving word problems with 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.

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 ...

Find fractions of amounts - maze - Problem Solving - Year 3 - differentiated. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pub, 264.5 KB. Find fractions of amounts - maze - Problem Solving - Year 3 - differentiated. 3 Differentiated worksheets finding the fractions of amounts 1/2 (LA) 1/2 and 1/4 (MA ...

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. Varied FluencyDeveloping Questions to support finding a fraction using known division facts to find fractions of an amount in a real life context.

Fractions of Amounts Class Photo Problem-Solving Maths Activity . 2 reviews . Last downloaded on. Colour and Label Fractions ... Explore more than 432 "Fractions Of Amounts Year 3" resources for teachers, parents and pupils as well as related resources on "Fractions Of An Amount Year 3"

More Year 3 Fractions resources. ... Fraction of an amount Three quarters 5 6 2 8 2 3 3 5 Eugen Fathima Two out of ten 3 8 2 5 4 15 3 Four fifths Three sevenths Four out of eleven. 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 ...

The Corbettmaths Practice Questions on Fractions of Amounts. Next: Fractions - Finding Original Practice Questions

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 fractions with small denominators. Mathematics Year 3: (3F10) Solve problems that involve 3F1 - 3F4

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 ...

Resource type: Worksheet/Activity. File previews. docx, 13.67 KB. docx, 12.67 KB. docx, 14.1 KB. docx, 53.49 KB. - I can find a fraction of a quantity. - I can add and subtract fractions. - I can order and compare fractions.

Fraction games, videos, word problems, manipulatives, and more at MathPlayground.com!

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 ...