Teaching for mastery in primary maths

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Bar charts, pictograms, time graphs and tables

• Year group: Year 4
• Term: Summer
• Topic: Statistics
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 8 to 9 yrs
• Unit can be taught out of sequence: Y
• Week Range: 6 - 7

In this chapter, pupils are introduced to the concept of continuous data and draw time graphs.

Pupils continue to construct and interpret bar charts, pictograms and tables and solve comparison, sum and difference problems using information presented in them. They start to realise that bar charts and pictograms are often used to present discrete data, although this term may not be used.

Now, pupils start to explore examples of continuous data, including the ways it can be collected and presented. In addition, they represent data over time in the form of a time graph, and use these graphs to retrieve information and solve simple problems.

As in previous chapters, this work should be linked to other areas of the curriculum. Take science, for example. Pupils may plant a seed, measure the height of a plant each day for a month and record this data in a table. They may then represent this in the form of a time graph, from which they can compare results with other pupils. The discussion that may arise as a result is an excellent example of the rich learning that can occur as a result of making cross-curricular links.

Resources for this topic

White Rose Maths

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.

Charts & graphs

Direct link to our Y4 scheme.

Mathematics Mastery

Bar charts, pictograms, time graphs and tables

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 bar charts, pictograms, time graphs and tables.

• 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.

Bar charts, pictograms, time graphs and tables

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.

Resources shared by teachers

Statistics : Year 4 - 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 4 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:

Interpret charts
Comparison, sum and difference

The resource contains 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:

Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.

Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

For the second pack on Year 4 Statistics, click on the link below.

Year 4 Statistics Summer Term - Week 7

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

Year 4 Statistics - Summer Term - Weeks 7 and 8

More Maths Resources

Statistics : Year 4 - 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 4 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’

Interpret charts
Comparison, sum and difference
Introducing line graphs
Line graphs

The resource contains 19 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:-

Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.
Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

White Rose Maths Year 4 Statistics Week 6

More Maths Resources

carroll diagram sorting spots/stripes on 2D shapes

Print off the shape and question sheets as A4. Enlarge the grids to A3 to be able to cut and stick the shapes on. This was done as a small group activity. The question sheet checks how well they understand the sorting activity.

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.

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.

Interpreting pictograms linked to work on transport. Used for guided group work on how to answer questions.

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.

Interpreting Bar Charts

Bar chart with range of questions challenging children to interpret the data in different ways.

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.