# Teaching for mastery in primary maths

Year 6
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## Area and volume

• Year group: Year 6
• Term: Spring
• Topic: Length, weight and volume
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: Y
• Week Range: 8 - 9

In this chapter, pupils bring together their existing knowledge of length, area and volume to find the area and volume of simple 2D and 3D shapes.

Continuing work on metric and imperial units, pupils solve problems involving the calculation and conversion of units of measure (eg, between miles and kilometres), using decimal notation up to three decimal places where appropriate.

They also use, read, write and convert standard measurements of length, weight and volume from a smaller unit to a larger one (and vice versa), also using decimal notation up to three decimal places.

Pupils calculate, estimate and compare the volume of cuboids (including cubes) using standard units, including cubic centimetres (cm³) and cubic metres (m³), later extending this to other units, such as cubic millimetres (mm3) and cubic kilometres (km³).

In time, pupils realise that shapes with the same areas can have different perimeters (and vice versa) and start to recognise when it is possible to use formulae in the calculation of the area and volume of shapes.

Pupils build on their previous knowledge to find the area of other shapes, including parallelograms and triangles. They deduce and explain the formulae for these new shapes.

## Resources for this topic

### White Rose Maths

#### KS2 Reasoning and Problem Solving Questions - 25th April 2016

Following our March twitter problems we have been inundated with requests for a few more new ones in the run up to SATS. We are not sure how often we will put them up, but here are five problems you can use with your Y6 group.

We hope you like them. Feel free to tweet us your solutions to @WRMathsHub

#### Reasoning - Problem Solving - Number Puzzles (KS1) and Shape Problems (KS2) - March 14th

Here are two problems for KS1 and two for KS2.

In KS1 children have to solve two number puzzles. The first one involves simple operations. The second problem involves fractions. Although the second problem seems quite simple it will tease out lots of misconceptions.

At KS2 children have to reason and problem solve with two shape problems. The first one involves working out the length of a square given the area and the second problem requires a little bar modelling, algebra or trialand error.

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. We had nearly 50 entries last week.

### Mathematics Mastery

#### Area and volume

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 area and volume.

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 6 - Measurement - Area, Perimeter and Volume - Week 8 - Spring - Block 5 - White Rose

This is pack 1 of 2 for the Year 6 - Measurement: Area Perimeter & Volume (Block 5). This pack covers week 8.

It covers the small steps:

• Shapes - Same area
• Area and perimeter
• Area of a triangle (1)
• Area of a triangle (2)

The resources in this pack listed below include worksheets and activities along with answers for each pack:

• Worksheets - Shapes - Same area
• Activity - Match cards - Shapes - Same area
• Worksheets - Area and perimeter
• Worksheets - Area of a triangle (1)
• Worksheets -Area of a triangle (2)
• Contextual planning sheet for guidance

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with reasoning, problem solving and open-ended investigations. Details of this can be seen in the contextual overview provided.

I hope you find them useful. If you have any questions, please email thedigitalstationer@gmail.com

Thanks,

The Digital Stationer

#### Year 6 - Measurement - Area, Perimeter and Volume - Week 9 - Spring - Block 5 - White Rose

This is pack 2 of 2 for the Year 6 - Measurement: Area Perimeter & Volume (Block 5). This pack covers week 9.

It covers the small steps:

• Area of a triangle (3)
• Area of a parallelogram
• Volume - Counting cubes
• Volume of a cuboid

The resources in this pack listed below include worksheets and activities along with answers for each pack:

• Worksheets - Area of a triangle (3)
• Activity - Ordering - Area of triangles (3)
• Worksheets - Area of a parallelogram
• Worksheets - Volume - Counting cubes
• Activity - Challenge cards - Volume - Counting cubes
• Worksheets - Volume of a cuboid
• Template - Dotty paper
• Contextual planning sheet for guidance

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with reasoning, problem solving and open-ended investigations. Details of this can be seen in the contextual overview provided.

I hope you find them useful. If you have any questions, please email thedigitalstationer@gmail.com

Thanks,

The Digital Stationer

#### KS2 (7-11 year olds) Quiz (Area and Perimeter)

General 'Area and Perimeter'&' quiz which includes measuring area, measuring the area of a rectangle and solving word problems involving area. This quiz is to use as an aid to see if pupils have understood the concept of &';Area and Perimeter'. Hope you find it useful.

#### Shape & Space patio investigation

A lesson resource pack based on a real life problem about building a patio. (Actually based on my own patio!). To be delivered over 1 or several lessons. Differentiated activitiy sheets to suit Year 4 - 6. Topics also included: using and applying numbers; multi-step problems.