# Teaching for mastery in primary maths

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## Introduction to comparing, ordering and equivalent fractions

• Year group: Year 3
• Term: Spring
• Topic: Fractions
• Duration: 1 weeks
• Keystage: KS1
• Age Range: 6 to 7 yrs
• Unit can be taught out of sequence: N
• Week Range: 10

In this chapter, pupils recognise and use unit fractions and non-unit fractions with small denominators as numbers. They also compare and order unit fractions and fractions with the same denominators.

Pupils begin to understand unit and non-unit fractions as numbers on the number line and deduce relationships of size and equivalence between them. They work with fractions greater than 1 and relate fractions to measure. It is vital that fractions are explored through concrete and pictorial means to secure understanding.

They also begin to use diagrams to recognise and show equivalent fractions with small denominators.

There is a particular focus on tenths in this chapter. Pupils count up and down in tenths. They connect tenths to division, recognising that they arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10. They also connect tenths to place value and decimal measures.

## Resources for this topic

### White Rose Maths

#### Simple unit fractions - identifying, shading and comparing

This worksheet can be used as pupils start their work on simple unit fractions. The worksheet gradually gets more involved as students identify simple unit fractions and then they start comparing. The worksheet shows the concept and the non - concept and pupils are asked reason their answers throughout.

#### Equivalent fractions

A variety of activities to help children understand equivalent fractions.

### Mathematics Mastery

#### Introduction to comparing, ordering and 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 introduction to comparing, ordering and 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.

#### Introduction to comparing, ordering and 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 introduction to comparing, ordering and 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

#### Fractions: Year 3 - Spring Term - White Rose Maths

This resource contains the first of two packs designed to support the delivery of the White Rose Maths Scheme Year 3 – Number: Fractions during week 10 of the Spring Term. The resource focuses on the following White Rose Maths 'small steps'

- Unit and Non-Unit Fractions
- Making the Whole
- Tenths
- Count in Tenths
- Tenths as Decimals
- Fractions of a Number Line
- Fractions of a set of objects (1-3)

The resource contains worksheets and activities (concrete, pictorial and abstract) linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme.

For details of the second Year 3 Fractions pack (week 11) click on the link below:

White Rose Maths Scheme Year 3 Fractions Spring Term - Week 11 - Block 5

A consolidation pack for the Spring Term for Year 3 is also available. See below for details.

White Rose Maths Scheme Year 3 Fractions Spring Term - Week 10 - Block 5

This resource has been designed to consolidate the work undertaken in the White Rose Maths Scheme small steps Year 3 programme delivered in the Spring Term Weeks 1-11. It contains resources for the following blocks of work

Money

-Pounds and pence
-Converting pounds and pence
- Calculating change

Length and Perimeter

- Subtract lengths
- Measure length
- Equivalent lengths mm, cm and m
- Measure and calculate perimeter

Multiplication and Division

- Compare statements
- Related calculations
- Multiply and divide 2 digits by 1 digit

Statistics

- Pictograms
- Bar charts
- Tables

Fractions

- Equivalent fractions
- Compare Fractions
- Order Fractions
- Subtract Fractions

White Rose Maths Scheme Year 3 Money Spring Term - Week 4 - Block 2

#### Fractions: Year 3 - Spring Term - White Rose Maths

This resource contains the second of two packs designed to support the delivery of the White Rose Maths Scheme Year 3 – Number: Fractions during week 11 of the Spring Term.

The resource focuses on the following White Rose Maths small steps:

- Equivalent Fractions 1-3
- Comparing Fractions
- Ordering Fractions
- Subtracting Fractions

The resource contains more than 30 worksheets / activities (concrete, pictorial and abstract) linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme. The resources use bar modelling and encourage pupils to develop their fluency, reasoning and problem-solving skills.

You may also be interested in:

White Rose Maths Scheme Year 3 Fractions Spring Term - Week 10 - Block 5

White Rose Maths Scheme Year 3 Money Spring Term - Week 4 - Block 2

White Rose Maths Scheme Year 3 Fractions Spring Term - Week 10 - Block 5

This resource has been designed to consolidate the work undertaken in the White Rose Maths Scheme small steps Year 3 programme delivered in the Spring Term Weeks 1-11. It contains resources for the following blocks of work

- MONEY: pounds and pence, converting pounds and pence, adding and subtracting money, calculating change
- LENGTH AND PERIMETER: add lengths, subtract lengths, measure length, equivalent lengths mm, cm and m, measure and calculate perimeter
- MULTIPLICATION AND DIVISION: multiplication and division, compare statements, related calculations, multiply and divide 2 digits by 1 digit
- STATISTICS: pictograms, bar charts, tables
- FRACTIONS: equivalent fractions, compare fractions, order fractions, add fractions, subtract Fractions

More Maths Resources

#### Fraction Snap Cards

A4 pdf. Saasson font and fractions font used throughout. Each card has a pizza picture, fraction name and numeral. Set includes Whole, half, thirds, quarters, fifths, sixths and eighths. I also have a larger resources which includes and empty plate picture plus slices of pizza which could be used in conjunction. I will also list this and some display resources if it would be of benefit - just leave your thoughts in the feedback or on the forum!!!! The problem with one of the pictures (pointed out below in the feedback!) has been rectified.

#### Introduction to fractions

Moves from what is a fraciton to writing and shading basic fracitons into equivalent fractions and simplifying. There are 2 worksheets, a think task, a dominoe game and a true/false plenary. It may take more than one lesson to get through this.