# Teaching for mastery in primary maths

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## Common equivalent fractions

• Year group: Year 4
• Term: Spring
• Topic: Fractions
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 8 to 9 yrs
• Unit can be taught out of sequence: N
• Week Range: 5

In this chapter, pupils extend the use of the number line to connect fractions, numbers and measures.

Building on introductory work on equivalence in chapter 3, pupils use diagrams to recognise and show families of common equivalent fractions. They use factors and multiples to recognise equivalent fractions and simplify where appropriate (eg, 6⁄9 = 2⁄3 or 1⁄4 = 2⁄8).

Pupils also look in depth at tenths and hundredths. They count up and down in tenths and in hundredths, and recognise that hundredths arise when dividing an object by 100 and when dividing tenths by 10. Tenths and hundredths are recorded in fraction notation; decimal notation is introduced later, in chapter 1 of decimals.

## Resources for this topic

### White Rose Maths

#### Equivalent fractions

A variety of activities to help children understand equivalent fractions.

#### Problem Solving Question of the Day - 1st March

In March the White Rose Maths Hub want to provide primary teachers with a KS2 problem of the day. These are all reasoning and problem solving questions that teachers can use on daily basis in their classroom. Some problems may be suitable also for some students in KS3 and GCSE.

If your class solve the problem during March why not tweet us a picture of their solution @WRMathsHub

### Mathematics Mastery

#### Common equivalent 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 common equivalent 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.

#### Common equivalent fractions

Select ‘View more’ for an accompanying video.

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

This CPD video provides step-by-step guidance on common equivalent fractions.

Our videos aim to:

• Model teaching tips, techniques and clarify how to make connections between concrete, pictorial and abstract representations
• Support the teaching of different methods and concepts, rather than focusing on one method only
• Enhance subject knowledge and support non-specialists

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 4 Fractions Pack 1 - Spring

This is the first of four packs based on Year 4 fractions. It covers the small steps: Fractions – what is a fraction? Equivalent fractions: strip diagrams and Equivalent fractions: proportional reasoning. The pack contains examples of practical activities, games and worksheets which aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.
I hope you find the resources useful.

#### Year 4 Fractions Pack 2 - Spring

This is the second of four packs based on Year 4 fractions. It covers the small steps: Fractions greater than 1, Proper and improper fractions, Adding fractions and Subtracting fractions. The pack contains examples of practical activities, games and worksheets which aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.
I hope you find the resources useful.

#### Year 4 Fractions Pack 3 - Spring

This is the third of four packs based on Year 4 fractions. It covers the small steps: Count in fractions, Subtract 2 fractions (recap) and Subtract from whole amounts. The pack contains games and worksheets which aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.
I hope you find the resources useful.

#### Year 4 Fractions Pack 4 - Spring

This is the last of four packs based on Year 4 fractions. It covers the small steps: Calculate fractions of a quantity and Problem solving – calculate quantities. The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.
The pack also includes an ‘End of unit Assessment’ for Fractions which can be used to analyse misconceptions and gaps in understanding.
I hope you find the resources useful.

#### Year 4 Fraction Bundle - Spring

This bundle of resources covers 4 weeks of fractions for Year 4 during the Spring term. The resources aim to help children gain a deeper understanding of the concepts covered in the topic. Pack 1 recaps what a fraction is and looks at equivalent fractions. Pack 2 looks at fractions greater than 1 and adding/ subtracting fractions. Pack 3 covers counting in fractions and more on subtracting fractions. Pack 4 covers finding fractions of quantities and has an 'End of unit assessment'.
The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.

I hope you find the resources useful.

#### Equivalent Fractions & Decimals - Chatterbox

An interactive worksheet on equivalent fractions and decimals for KS2 and KS3. Involved is a bit of cutting out then folding origami style. This leads to a fun activity with children asking and answering equivalence questions.

A great way to consolidate the learning of fraction and decimal equivalents
Bit cheeky - I have a 'Finding Fractions of Amounts Chatterboxes' in my shop. 5 differentiated (fun) sheets.

#### Equivalent Fractions (Multiple Representations)

In each row, which of these pictures represent the same fraction?

Requires students to compare different representations of fractions, including number lines, percentages and shaded pictures.