# Teaching for mastery in primary maths

Year 5
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
Spring
Autumn
Spring
Summer
All Topics

## Compare, order and find equivalent fractions

• Year group: Year 5
• Term: Spring
• Topic: Fractions
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 9 to 10 yrs
• Unit can be taught out of sequence: N
• Week Range: 5

In this chapter, pupils identify, name and write equivalent fractions, as well as compare and order them.

Pupils compare and order fractions with denominators that are multiples of the same number, such as 79 and 512. In doing so, they understand that they must find the lowest common denominator to compare fractions.

To support pupils’ developing understanding of the concept of equivalence in the context of fractions, they use a range of both concrete and pictorial representations.

## Resources for this topic

### White Rose Maths

#### Reasoning - Problem Solving - Number (KS1) and Fractions (KS2) - March 4th

Today's problems are ones that involve multiplication in KS1 and fractions in KS2.

In the KS1 problem students have to find the values that a symbol represents and in the second question has to find four different ways of writing the same calculation.

At KS2 the questions are on fractions..

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.

#### Equivalent fractions

This resource includes varied practice and problems involving equivalent fractions.

### Mathematics Mastery

#### Compare, order, and find 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 comparing, ordering, and finding 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.

#### Compare, order, and find 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 comparing, ordering, and finding 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 5 Fractions Week 4

This is pack 1 of 6 on Year 5 Fractions and covers equivalent fractions and converting improper fractions to mixed numbers. The resources aim to help children gain a deeper understanding of the concepts covered in the first week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 5 Fractions Week 5

This is pack 2 of 6 on Year 5 Fractions and covers converting mixed numbers to improper fractions, number sequences and comparing and ordering fractions. The resources aim to help children gain a deeper understanding of the concepts covered in the second week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 5 Fractions Week 6

This is pack 3 of 6 on Year 5 Fractions and covers comparing and ordering fractions, investigating equivalent fractions and adding and subtracting fractions with the same denominator. The resources aim to help children gain a deeper understanding of the concepts covered in the third week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 5 Fractions Week 7

This is pack 4 of 6 on Year 5 Fractions and covers adding and subtracting fractions with unlike denominators. The resources aim to help children gain a deeper understanding of the concepts covered in the fourth week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 5 Fractions Week 8

This is pack 5 of 6 on Year 5 Fractions and covers subtracting fractions and multiplying fractions. The resources aim to help children gain a deeper understanding of the concepts covered in the fifth week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 5 Fractions Week 9

This is pack 6 of 6 on Year 5 Fractions and covers multiplying fractions, fractions of an amount and an end of unit assessment. The resources aim to help children gain a deeper understanding of the concepts covered in the first week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 5 Fractions

This is a complete bundle for Year 5 fractions covering all the Year 5 objectives for fractions. The resources aim to help children gain a deeper understanding of the concepts covered and adopt a mastery maths approach.

Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

The resources also include a range of reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Introduction to Fractions - hands on exploration

A practical support to gaining a concrete understanding fractions and how they work. The whiteboard file (Promethean only I'm afraid) allows teacher / pupils whole class discussion. The pupil cards (classroom assistant needed! Different colour card for each fraction is best) for pupils (1 set for one / two pupils). Work-cards allow for some independence (if you want). Also included is a link to the fractions ITP - different representations of fractions help a great deal.

#### Diminishing Fraction Diagrams - rich tasks

(N.B: Now including answers!) A series of rich tasks / starting points based on the theme of diminishing areas. They could be a lesson each or just pick two or three as a progression over one lesson. Areas covered: equivalent fractions, adding fractions, powers (‘half of a half…’), pie charts (angles and percentages), and infinite sums (Challenging!) Diagrams are a mixture of my own, those from NRich and also from ‘Don Steward - Median’ See for further ideas and resources about teaching mathematics.