Data representation and scatter graphs

AQA GCSE Maths

8 ready-made resources for teaching Data representation and scatter graphs, written for AQA GCSE Maths. Slides, worksheets, mark schemes, homework, an assessment and retrieval quizzes, all with SEN-friendly scaffolding built in as standard. Below is what the topic requires and where students usually go wrong, free to read whether or not you sign up.

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What is in this bundle

Assessment mark schemeWord, editable
End-of-topic assessmentWord, editable
HomeworkWord, editable
Retrieval-practice quizzesWord, editable
SlidesPowerPoint, editable
Starter & exit ticketWord, editable
Tiered worksheetWord, editable
Worksheet mark schemeWord, editable

Foundation tier

Draw and interpret bar charts, pictograms, and pie charts.
Draw and interpret frequency polygons.
Draw and interpret time-series graphs.
Draw and interpret scatter graphs, and identify positive, negative, or no correlation.
Draw a line of best fit by eye and use it to make predictions within the range of the data.

Higher tier, in addition

Interpret the strength of correlation shown by a scatter graph, and understand that correlation does not imply causation.
Use a line of best fit to make predictions beyond the range of the data, and discuss how reliable this is.
Draw and interpret a histogram with unequal class widths, using frequency density.
Understand basic sampling methods, including random and stratified sampling, and identify potential sources of bias.

Where students go wrong

Misreading a pie chart by not correctly converting an angle into a proportion or frequency.
Assuming correlation shown on a scatter graph implies one variable causes the other.
Treating a prediction made far beyond the data range (extrapolation) as equally reliable to one made within it.
Plotting frequency instead of frequency density on a histogram when class widths are unequal.
Using the wrong ratio when calculating a stratified sample, rather than applying the correct proportion to each stratum.

How it gets asked in the exam

"Draw a line of best fit", "Describe the correlation shown", "Use your line of best fit to estimate...", "Calculate the frequency density", "Work out how many should be sampled from each...".

Key vocabulary

Bar chart, pictogram, pie chart, frequency polygon, time-series graph, scatter graph, correlation, line of best fit, interpolation, extrapolation, histogram, frequency density, sampling, stratified sample, bias.

Assumed prior knowledge

Averages and spread.
Ratio and proportion, needed for stratified sampling calculations.
Plotting and reading coordinates.

How Speca scaffolds this topic

Provide a "chart chooser" decision flowchart: a short sequence of yes/no questions (for example "showing parts of a whole?" leads to a pie chart; "showing change over time?" leads to a time-series graph) so the right chart type is selected systematically rather than guessed.
Use a colour-coded correlation reference strip (positive, negative, none), each paired with a small icon scatter-pattern, shown consistently whenever a scatter graph question appears.
For histograms, provide a worked "frequency density = frequency ÷ class width" formula card with the class-width row and frequency row colour-linked directly to the bar being drawn, extending the colour-linking pattern already used for grouped-data bar charts in the averages and spread topic.

Every file, free to start

Three full bundles a month at no cost, no card needed. Speca can also write a resource for a topic we have not built yet, and mark a photo of a student's working against the mark scheme.

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