# Teaching for mastery in primary maths

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## Pie charts, line graphs and the mean average

• Year group: Year 6
• Term: Summer
• Topic: Statistics
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: Y
• Week Range: 7

In this chapter, pupils draw and interpret pie charts and calculate the mean average of a set of numbers.

Pupils continue to interpret and construct line graphs and use them to solve increasingly difficult problems. While most of the graphs and charts that pupils have encountered so far have looked fairly similar, pupils now move on to interpret and construct pie charts, which look significantly different.

To begin with, pupils understand that a pie chart is circular and that the size of each slice is relevant to the size of the category. They must be secure in their understanding of these concepts before moving on to tackle related questions. It may help to make explicit links to previous work on angles, fractions and proportion at this point.

Pupils also calculate and interpret the mean as an average. This is the first average that pupils will have met and so it is important that care is taken with its introduction, which ought to focus on meaning. Pupils start to explore data sets where the mean is an appropriate calculation for the average, as well as others where it is less so.

Download all statistics chapters as a PDF

## 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 - Money Problems (KS1/2) - March 17th

Tow more problems for KS1 and two for KS2.

In KS1 children have to use the information to complete a pictogram and then work out the length of a lolly and car.

At KS2 children need to understand what a bar chart is showing and use this to work out a total. Q2 requires children to find the mean and then given the mean find the height of another horse. There is also some converting between measures thrown in to make it extra challenging.

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.

#### Interpreting graphs

A useful resource for children to interpret graphs regarding temperature.

### Mathematics Mastery

#### Pie charts, line graphs and the mean average

Developing pupils’ problem solving skills is a key element of the Mathematics Mastery programme.

This task sheet focuses on pie charts, line graphs and the mean average and can be used in two ways. 1. To support parents with their child(ren)’s learning at home, helping them to develop their mathematical understanding beyond the classroom environment. 2. For teachers to use this resource as a basis for a classroom activity, helping pupils to practise and consolidate their understanding.

• Each task is accompanied by guidance to support parents with concepts and methods they may be less familiar with
• For the classroom, you can introduce this as an independent task or in mixed attainment pairs to encourage mathematical discussion

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.

#### Pie charts, line graphs and the mean average

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.

This activity explores the concept of pie charts, line graphs and the mean average

• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

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

#### Statistics: Year 6 - Summer Term - White Rose Maths

This resource contains the first of two packs designed to support the delivery of the White Rose Maths Scheme Year 6 Statistics - Weeks 6-7 of the Summer Term. This resource is for Week 6.

The resource focuses on the following White Rose Maths ‘small steps’

Read and interpret line graphs
Draw line graphs
Use line graphs to solve problems
Circles
Read and interpret pie charts
Pie charts with percentages

The resource contains 22 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 and includes reasoning and problem-solving tasks. Answer keys and solutions are included.

These resources will develop the pupils ability to achieve the following Year 2 Maths National Curriculum Objectives:-

Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius.
Interpret and construct pie charts and line graphs and use these to solve problems.

Year 6 Statistics : Summer Term - Week 7 - White Rose Maths Resource

Save money and buy both resources in a bundle for just £6:

Year 6 Statistics - Summer Term - Weeks 6 - 7

More Maths Resources

#### Statistics: Year 6 Summer Term - White Rose Maths

This resource contains the second of two packs designed to support the delivery of the White Rose Maths Scheme Year 6 Statistics - Weeks 6-7 of the Summer Term. This resource is for Week 7.

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

Read and interpret line graphs
Draw line graphs
Use line graphs to solve problems
Circles
Read and interpret pie charts
Pie charts with percentages
Draw pie charts
The mean

The resource contains 20 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 and includes reasoning and problem-solving tasks. Answer keys and solutions are included.

These resources will develop the pupils ability to achieve the following Year 2 Maths National Curriculum Objectives:-

Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius.
Interpret and construct pie charts and line graphs and use these to solve problems.
Calculate the mean as an average.

Year 6 Statistics : Summer Term - Week 6 - White Rose Maths Resources

Save money and buy both resources in a bundle for just £6:

Year 6 Statistics - Summer Term - Weeks 6 - 7

More Maths Resources

#### Funny pie charts

A few pie charts that represent funny ideas or jokes. The idea is that students get a feel for how pie charts work. I used it as a Y7 starter to generate discussion. The 'how often charts don't make sense' pie chart is particularly good for this. As always, please rate and comment with suggests and ideas. Thanks :)

#### Drawing Pie Charts

Worksheet for KS3 pupils.

#### Football - match the charts

Cut up cards and give to pairs/groups of pupils. They must match up 4 sets of pictograms, bar charts, pie charts and tally charts. The last 7 cards are an extension and could be kept separate until pupils have matched the different representations. The errors in 2 of the clues in the original version have been corrected.

#### Martin Luther King's Speech - Using statistics to analyse

This resource is using cross curricular links. Students are required to find the number of letters in each word from a snippet of his famous "I had a dream" speech. Using bar charts and pie charts. Could be adapted to find averages from the table.

#### Planning supplies for a voyage on the Golden Hind

Tudor linked maths to work on data handling. Pupils have to plan the supplies for a long sea voyage based on three different ranks of sailor, all of whom are entitled to different rations. Enables data handling on a range of scales with ever increasing quantities. Best to start with one type of sailor and build up to all three and then all men at each rank. Done gradually it makes for an exciting project using lots of data handling skills.

#### Theme Park, Maths Enterprise

This is a group of resources I made (I used some ideas from other places, but I made the things myself) in order to use as many Maths related exercises with the final aim of creating their own theme park. Some of the skills covered are:
Shapes, co-ordinates, symmetry, speed, line graphs, pictograms, bar graphs, perimeter, area, percentages, tally, problem solving, survey, money, budget and time.

Enjoy!!

#### Smarties Maths Lesson - Revision

Revision of a number of topic areas using Smarties!

You will need to provide some tube of Smarties (if you can get small funsize tubes thats better!). Pupils to explore different areas of maths related to number and data.

#### 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

#### Averages and Range Worksheet

A short worksheet asking pupils to find the averages and range from sets of raw data. The last 2 quesitons require pupils to think a little more outside the box. Would be good for a starter or homework.

#### Music Industry Trends

From a link on Twitter (thank you @beetlebug1) I put together this as an activity to describe the trends in sales in the music industry. This involves predictions too and should get students to read the pie charts carefully, seeing how statistics are used in a context they are familiar with.