Transum Maths Software

Data Handling

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Data Handling. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

Main Page

Data Handling Starters:

Average Smile: Calculate the mean, median and range of the given scores.

Pick From The Pot: The pot contains 10 counters which are being randomly removed and replaced. How many of each colour do you think are in the pot?

Pie Chart: An exercise in estimating what the sectors of a pie chart represent.

Tran's Hats: In how many different ways might Tran decide to wear his hats in one week?

Weather Maths: Eight mathematical questions about the current weather and times in four cities around the world.

 

Small images of these Starters ::  Index of Starters


Data Handling Advanced Starters:

Fermi Problem: The classic Fermi problem using standard estimation techniques

Index of Advanced Starters


Suggested

List Reading

List Reading

Practise reading numerical information from lists of different types.

The short web address is:

Transum.org/go/?to=lists

 

Curriculum for Data Handling:

Year 5

Pupils should be taught to solve comparison, sum and difference problems using information presented in a line graph more...

Pupils should be taught to complete, read and interpret information in tables, including timetables. more...

Year 6

Pupils should be taught to interpret and construct pie charts and line graphs and use these to solve problems more...

Years 7 to 9

Pupils should be taught to describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers) more...

Pupils should be taught to construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or bar) charts for ungrouped and grouped numerical data more...

Pupils should be taught to describe simple mathematical relationships between two variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs. more...

Years 10 and 11

Pupils should be taught to infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling more...

Pupils should be taught to interpret and construct tables and line graphs for time series data more...

Pupils should be taught to {construct and interpret diagrams for grouped discrete data and continuous data, ie, histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate use} more...

Pupils should be taught to interpret, analyse and compare the distributions of data sets from univariate empirical distributions through appropriate graphical representation involving discrete, continuous and grouped data, {including box plots} and appropriate measures of central tendency (including modal class) and spread {including quartiles and inter-quartile range} more...

Pupils should be taught to apply statistics to describe a population more...

Pupils should be taught to use and interpret scatter graphs of bivariate data; recognise correlation and know that it does not indicate causation; draw estimated lines of best fit; make predictions; interpolate and extrapolate apparent trends whilst knowing the dangers of so doing. more...

Years 12 and 13

Pupils should be taught to understand and use the terms 'population' and 'sample'. Use samples to make informal inferences about the population. Understand and use sampling techniques, including simple random sampling and opportunity sampling. Select or critique sampling techniques in the context of solving a statistical problem, including understanding that different samples can lead to different conclusions about the population more...

Pupils should be taught to interpret diagrams for single-variable data, including understanding that area in a histogram represents frequency. Students should be familiar with histograms, frequency polygons, box and whisker plots (including outliers) and cumulative frequency diagrams more...

Pupils should be taught to recognise and interpret possible outliers in data sets and statistical diagrams. Select or critique data presentation techniques in the context of a statistical problem. Be able to clean data, including dealing with missing data, errors and outliers more...

Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

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"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

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"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

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"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
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Notes:

Data is talked about more this decade than ever before. Whether it be how social media companies deal with your personal data or how analysing data can improve algorithms for systems that make everyday life easier or more profitable.

Pupils are first introduced to small, familiar data sets and learn to visualise them in many different ways. They may produce their own data from experiments, observations or games and will then describe their data in different ways.

Pupils will calculate averages and other summary measures (mean, median, mode range) and produce bar charts, pie charts and box plots.

Older pupils will use technology to help analyse larger data sets and will be introduced to inter-quartile range and standard deviation. They will draw conclusions from scatter diagrams, and have a basic understanding of correlation. They will learn how to apply statistical information to calculate probabilities.



See also the topics called Statistics, Averages and Probability.

Data Handling Teacher Resources:

A Show Of Hands: Produce a number of graphs and charts from a quick show of hands.

Pie Chart Creator: A quick and convenient tool for rapidly creating simple pie charts.

Human Scatter Graphs: Pupils move to positions in the room according to their data relative to the walls as axes.

Comparing Graphs: Would you recognise a misleading graph if you saw one? Try this comparative judgement exercise to rate statistical graphs.

t-Test Revision: A slide presentation designed to revise the key aspects of Student's t-Test.

Data Handling Activities:

List Reading: Practise reading numerical information from lists of different types.

Pin Drop: Estimate the probability of a drawing pin landing point up from experimental data.

Pie Charts: Develop the skills to construct and interpret pie charts in this self-marking set of exercises.

Histograms: Practise drawing and reading information from histograms displaying grouped data

Tally Charts: Read and draw simple tally charts to record and count different types of data.

Comparing Graphs: Would you recognise a misleading graph if you saw one? Try this comparative judgement exercise to rate statistical graphs.

Data Handling Investigations:

Reaction Time: When the numbers appear hit the correct button depending on whether the numbers are even or odd

Data Handling Videos:

Tally Charts Video: A guided tour through the levels of the Tally Charts online exercise.

Scatter Graphs: Maths teachers from England construct a scatter graph from their heights and shoe sizes.

Visualising Data: Hans Rosling's famous lectures combine enormous quantities of public data with a sport's commentator's style to reveal the story of the world's past, present and future development.

Data Handling External Links:

Links to other websites containing resources for Data Handling are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Suggested

Comparing Graphs

Comparing Graphs

Would you recognise a misleading graph if you saw one? Try this comparative judgement exercise to rate statistical graphs.

The short web address is:

Transum.org/go/?to=cmpgra

 

Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

A Transum subscription also gives you access to the 'Class Admin' student management system, downloadable worksheets, many more teaching resources and opens up ad-free access to the Transum website for you and your pupils.

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