# Teaching for mastery in primary maths

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## Introduction to adding and subtracting fractions

• Year group: Year 3
• Term: Summer
• Topic: Fractions
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 8 to 9 yrs
• Unit can be taught out of sequence: N
• Week Range: 2 - 3

In this chapter, pupils build on their understanding of simple fractions, and the knowledge that fractions can be a number in themselves, by starting to calculate with them.

This chapter explores addition and subtraction of fractions with the same denominator within one whole (eg, 5⁄7 + 1⁄7 = 6⁄7). This should be introduced using different concrete examples and visual representations so that pupils have a secure understanding of what happens when they add or subtract two fractions.

## Resources for this topic

### White Rose Maths

#### Reasoning - Problem Solving - Number Puzzles (KS1) and Shape Problems (KS2) - March 14th

Here are two problems for KS1 and two for KS2.

In KS1 children have to solve two number puzzles. The first one involves simple operations. The second problem involves fractions. Although the second problem seems quite simple it will tease out lots of misconceptions.

At KS2 children have to reason and problem solve with two shape problems. The first one involves working out the length of a square given the area and the second problem requires a little bar modelling, algebra or trialand error.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize. We had nearly 50 entries last week.

#### Adding fractions with the same denominator

These resources give children the opportunity to practice fluency, reasoning and problem solving questions.

### Mathematics Mastery

#### Introduction to adding and subtracting fractions

Talk Tasks are a brilliant way of enabling pupils to develop their mathematical language, thinking, understanding and confidence.
This activity explores the concept of adding and subtracting fractions.
• Talk tasks are best completed in mixed attainment pairs, with pupils taking turns to listen and construct arguments
• Emphasis is on discussion rather than the solution, encouraging pupils to use key language and talk in full sentences
• Ask pupils to prove their answers in a variety of ways, using the CPA approach to support mathematical understanding and number sense

Enabling teachers to continuously develop their practice is a key element of the Mathematics Mastery Programme.

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Introduction to adding and subtracting fractions

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.
This activity explores the concept of adding and subtracting fractions.
• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

### Resources shared by teachers

#### Year 3 - Number- Fractions - Week 1 - Summer - Block 1 - White Rose

This is pack 1 of 3 for the Year 3 - Number: Fractions (Block 1). This pack covers week 1.

Please see: Week 2 , Week 3 or Bundle (save 40%!)

It covers the small steps:

• Equivalent fractions (1)
• Equivalent fractions (2)
• Equivalent fractions (3)

The resources in this pack listed below include worksheets and activities along with answers for each pack:<br />

• Worksheets - Equivalent fractions (1)
• Activity - Fraction Wall
• Template - Number rods
• Worksheets - Equivalent fractions (2)
• Activity - Number line - Equivalent Fractions
• Worksheets - Equivalent fractions (3)
• Activity - Match cards - Equivalent Fractions
• Contextual planning sheet for guidance

PDF format (please set print option to fit).
PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### Year 3 - Number- Fractions - Week 2 - Summer - Block 1 - White Rose

This is pack 2 of 3 for the Year 3 - Number: Fractions (Block 1). This pack covers week 2.

Please see: Week 1 , Week 3 or Bundle (save 40%!)

It covers the small steps:

• Compare Fractions
• Order Fractions

The resources in this pack listed below include worksheets and activities along with answers for each pack:

• Worksheets - Compare Fractions
• Activity -Compare Fractions
• Worksheets - Order Fractions
• Activity - Order Fractions
• Activity - Challenge cards - Compare & order
• Game - Bingo
• Template - Number rods
• Contextual planning sheet for guidance

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### Year 3 - Number- Fractions - Week 3 - Summer - Block 1 - White Rose

This is pack 3 of 3 for the Year 3 - Number: Fractions (Block 1). This pack covers week 3.

Please see: Week 1 , Week 2 or Bundle (save 40%!)

It covers the small steps:

• Subtract Fractions

The resources in this pack listed below include worksheets and activities along with answers for each pack:

• Activity -Match cards - Add Fractions
• Worksheets - Subtract Fractions
• Activity -Match cards - Subtract Fractions
• Test - Consolidation end of block skills test
• Contextual planning sheet for guidance

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### Year 3 - Number - Fractions - Week 1-3- Summer - Block 1 - BUNDLE - White Rose

UPDATE - Challenge cards updated (Week 2)

This bundle covers Year 3 - Number - Fractions
(Block 1 - week 1-3). You will save 40% buying this bundle!

You will get: Week 1 , Week 2, Week 3

It covers the small steps:

Week 1:
• Equivalent Fractions (1)
• Equivalent Fractions (2)
• Equivalent Fractions (3)

Week 2:
• Compare Fractions
• Order Fractions

Week 3:
• Subtract Fractions

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education

#### Adding fractions with the same denominator.

Various differentiated worksheets aimed at getting children to understand how to add fractions, that have the same denominator, to make a whole one. Fraction PowerPoint to recap the basics of fractions.

#### Addition and Subtraction of fractions at Key Stage 2; big bundle with activities and worksheets.

Fractions four rules KS2 -Year 3
'Add and subtract fractions with the same denominator within one whole.'
'Pupils practise adding and subtracting fractions with the same denominator through a variety of increasingly complex problems to improve fluency.'
Presentation and lots of activity, and plenty of resources for you to adapt and make your own. Worksheets, fractions cards, all differentiated. Word and PDF - whatever works for you.