# Teaching for mastery in primary maths

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## Introduction to halves and quarters

• Year group: Year 1
• Term: Summer
• Topic: Fractions
• Duration: 2 weeks
• Keystage: KS1
• Age Range: 5 to 6 yrs
• Unit can be taught out of sequence: N
• Week Range: 4 - 5

In this chapter, pupils are introduced to halves and quarters.

Pupils know that a half is one of two equal parts of an object, shape or quantity and that a quarter is one of four equal parts of an object, shape or quantity.

They can find halves and quarters of a shape or a number line marked from 0 to 1. In doing so, they learn that fractions can be a part of a whole. They also connect halves and quarters to the equal sharing and grouping of sets of objects and to measures, by finding half or a quarter of a length, quantity or set of objects.

## Resources for this topic

### White Rose Maths

#### Halves

Fluency, reasoning and problem solving on finding half of a shape and half of an amount.

#### Reasoning - Problem Solving - Number and Fraction Problems - 29th March

There are four problems for KS1 and two for KS2.

In KS1 problem children have to find possible numbers to make number sentences correct and then mark the number 1 on a number line.

At KS2 children need to manipulate 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.

#### Reasoning - Problem Solving - Money Problems (KS1/2) - March 3rd

Today's problems are ones that involve money. There are two problems for KS1 and two for KS2.

In KS1 problem students have to recognise the value of coins and use addition and subtraction to work our whether the correct change has been given. The second problem involves children finding a quarter of an amount.

At KS2 children potentially need to use all four operations and the problems can be solved using bar modelling.

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.

### Mathematics Mastery

#### Introduction to halves and quarters

Deepening pupils’ understanding of key mathematical ideas is a core element of the Mathematics Mastery programme.

Our Key Constructs highlight the essential mathematical concepts all pupils are expected to grasp within each year group, with accompanying guidance for assessing pupil progress.

Our Key Constructs are closely aligned to the National Curriculum’s objectives. We know these can be tricky to evidence, so we’ve included an example task for each concept, as well as ideas to support slower-graspers and depth tasks to challenge higher-attaining pupils.

• Pupils should work through the tasks independently
• Teachers should incorporate the CPA approach to support pupils’ learning
• Opportunities for depth and scaffolding are built into each task

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 halves and quarters

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 halves and quarters.

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 1 - Summer - Week 4 - Fractions

This is pack 1 of 2 on Year 1 fractions for the summer term and covers the small steps:

• Halving shapes or objects
• Halving a quantity

The resources aim to help children gain a deeper understanding of the concepts covered. Numbers are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives such as place value counters and Base 10.

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 1 - Summer - Week 5 - Fractions

This is pack 2 of 2 on Year 1 fractions for the summer term and covers the small steps:

• Find a quarter of a shape or object
• Find a quarter of a quantity

The resources aim to help children gain a deeper understanding of the concepts covered. Numbers are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives such as place value counters and Base 10.

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.

#### Finding half of a shape. Fluency, reasoning and problem solving.

A worksheet split into three steps to deepen children's understanding through varied questions. Children have to answer questions about halves of shapes in different ways to start to show they have mastered the concept.

#### Sharing Lollies

This is an interactive resource. A TESiboard activity. Share lollipops between 2 or 4 children. Explore halves and quarters as sharing between groups.

Note: This is a Flash activity and may not work on all devices and browsers. We recommend IE.