# Teaching for mastery in primary maths

Year 3
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## Length, weight, capacity and volume

• Year group: Year 3
• Term: Summer
• Topic: Length, weight and volume
• Duration: 3 weeks
• Keystage: KS2
• Age Range: 7 to 8 yrs
• Unit can be taught out of sequence: Y
• Week Range: 9 - 11

In this chapter, pupils use measurements of length, weight (or mass), capacity and volume in word problems involving addition and subtraction.

Pupils measure and compare lengths, weights, capacities and volumes using standard units of measurement at all times. It is essential that all work on measurement is linked to place value. For example, pupils know that 1,000 millilitres is equal to 1 litre.

Using their existing understanding of addition and subtraction, pupils solve problems in which they add and subtract different lengths, weights, capacities and volumes. Where possible, problems should be presented in authentic, real-life contexts.

## Resources for this topic

### White Rose Maths

#### KS2 - Problem Solving and Reasoning Questions

Here are a final few problem solving and reasoning problems ahead of SATS this week. Feel free to use them,

@WRMathsHub

#### Reasoning - Problem Solving - Number (KS1) and weight problems (KS2) - March 24th

There are two problems for KS1 and two for KS2.

In KS1 children have to work out the missing values on a number line and then find the difference. They then have to work out the values of each shape in a square grid.

At KS2 children have two problems they have to solve involving weight of objects.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day. Not long to go to get your solutions in.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.

### Mathematics Mastery

#### Length, mass and capacity

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.

#### Length, mass and capacity

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

This CPD resource provides step-by-step guidance on length, mass and capacity.

Our CPD resource 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 3 – Measurement – Mass and capacity – Summer week 9 – Introducing mass, measuring & estimating

This pack of resources covers Year 3-Measurement-Mass and capacity - for week 9 of the summer term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 9 includes worksheets and activities on:

• What is mass?
• Measuring grams
• Measuring grams and kilograms
• Measuring out ingredients
• Estimating grams and kilograms

#### Year 3 – Measurement – Mass and capacity – Summer week 10 – working with mass and capacity

This pack of resources covers Year 3-Measurement-Mass and capacity - for week 10 of the summer term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 10 includes worksheets and activities on:

• Comparing mass
• Problems involving mass
• What is capacity?
• Measuring capacity on a scale

#### Year 3 – Measurement – Mass and capacity – Summer week 11 – Measuring, comparing and adding capacity

This pack of resources covers Year 3-Measurement-Mass and capacity - for week 11 of the summer term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 11 includes worksheets and activities on:

• Estimating litres and mililitres
• Reading capacity on a measuring jug
• Measuring capacity
• Comparing capacity

#### Year 3 – Measurement – Mass and capacity – Summer week 9 to 11 – Measuring, comparing, adding and capacity and mass

This pack of resources covers Year 3-Measurement-Mass and capacity - for week 9 to 11 of the summer term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

#### Year 3–Properties of shapes –Summer week 7(block 3) - Using turns and angles. What is a right angle?

Year 3 – Properties of shapes – Summer week 7 -Block 3 - Using turns and angles, recognising 2D and 3D shapes
This pack of resources covers Year 3 – Properties of shape - for week 7 of the summer term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 7 includes worksheets and activities on:

• What is an angle?
• Turns and angles
• Right angles in shapes
• Comparing angles
• Drawing and measuring lines

I hope you find the resources useful. Feedback is very welcome.

#### Year 3 – Properties of shapes – Summer week 8 - Block 3 -Recognising and describing 2D and 3D shapes

This pack of resources covers Year 3 – Properties of shape - for week 8 of the summer term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 8 includes worksheets and activities on:

• Horizontal and vertical lines
• Parallel and perpendicular lines
• Recognising and describing 2D shapes
• Recognising and describing 3D shapes
• Making 3D shapes

I hope you find the resources useful. Feedback is very welcome.

#### Reasoning and Problem Solving Questions Collection - KS1 and KS2

These booklets each contain over 40 reasoning and problem solving questions suitable for KS1, KS2 and KS3 classes. These are the questions that we have been putting out each day in March 2016 on Twitter in the run up to SATS.

The answers are provided with some simple notes at the back of the booklet and for some problems supplementary questions and variation has been provided.

As always we welcome any feedback on the work we are doing and the materials that we are releasing.
Thank you for taking an interest in our work.
The White Rose Maths Hub Team

#### Measures

Conversion of units

#### Length worksheets

A pack of sheets for the topic of length and estimating.