# Teaching for mastery in primary maths

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## Using graphs

• Year group: Year 3
• Term: Spring
• Topic: Statistics
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 7 to 8 yrs
• Unit can be taught out of sequence: Y
• Week Range: 5 - 6

In this chapter, pupils interpret and present data using bar charts, pictograms and tables.

Building on learning from the previous chapter, pupils extend their knowledge of graphs by working with basic bar charts and solving one- and two-step questions, such as “How many more…?” and “How many fewer…?”. They go on to ask questions and answer problems related to these graphs, which continues to reinforce work on place value and the four rules. The size of the numbers used should be appropriate to their understanding of place value.

Pupils become increasingly confident in solving problems involving scaled bar charts, pictograms and tables. They read off values from scales in bar charts to work out data for different categories with increasing accuracy. They also continue to interpret pictograms that require them to count in 2s, 5s and 10s. Pictograms are additionally used to reinforce the relationship between a fraction of a shape and a fraction of a quantity.

Once again, pupils should construct and interpret graphs and charts using real-life examples related to their own experiences. As well as being given graphs to work with, pupils should also have the opportunity to collect and organise their own data. Ideally, this would occur in a cross-curricular capacity.

## Resources for this topic

### White Rose Maths

#### Graphs

Direct link to our Y3 scheme.

#### Graphs

Direct link to our Y3 scheme.

### Mathematics Mastery

#### Using graphs

Mathematical discussion is a key element of the Mathematics Mastery programme.

Talk Tasks are a brilliant way of enabling pupils to develop their mathematical language, thinking, understanding and confidence.

This activity explores the concept of using graphs.

• Talk tasks are best completed in mixed attainment pairs, with pupils taking turns to listen and construct arguments
• Emphasis is on discussion rather than the solution, encouraging pupils to use key language and talk in full sentences
• Ask pupils to prove their answers in a variety of ways, using the CPA approach to support mathematical understanding and number sense

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.

#### Using graphs

Mathematical discussion is a key element of the Mathematics Mastery programme.

Talk Tasks are a brilliant way of enabling pupils to develop their mathematical language, thinking, understanding and confidence.

This activity explores the concept of graphs

• Talk tasks are best completed in mixed attainment pairs, with pupils taking turns to listen and construct arguments
• Emphasis is on discussion rather than the solution, encouraging pupils to use key language and talk in full sentences
• Ask pupils to prove their answers in a variety of ways, using the CPA approach to support mathematical understanding and number sense

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 - Statistics - Week 5

This is pack covers Year 3: Statistics: Pictograms and Bar Charts.

The resources aim to help children gain a deeper understanding of the concepts covered during the week. Children interpret and draw their own pictograms and begin to look at bar charts. There is also a homework task included!

The resources include as many pictorial and abstract representations as possible 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 3 - Statistics - Week 6

This is pack covers Year 3: Statistics: Pictograms, Bar Charts and Tables.

The resources aim to help children gain a deeper understanding of the concepts covered during the week. Children continue to develop their understanding of pictograms and bar charts. They use their understand to help them understand tables. All 3 ways of viewing data are used so that children can see the connections between them.

The resources include as many pictorial and abstract representations as possible 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.

#### Collecting and Representing Data - Mixed Worksheet

7 questions that can be used as an end of topic assessment tool, or just as a stand alone recap lesson. Tally Chart / Frequency Table; Drawing and Interpreting Pictograms, Drawing and Interpreting Bar Charts, Stem and Leaf Diagrams.

#### 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.

#### KS1 (Y2) Handling Data Mini Test

I used the 3 documents attached to create a small mini test to be used at the end of our Y2 handling data topic. Test includes, Pictographs, Block graphs, Venn & Carroll Diagrams. I used this a test type activity, but could also be used during normal lesson or at the start of a topic to test previous 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.

#### 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.