Pie Chart Skills

Overview

This lesson focuses on interpreting and constructing pie charts using data collected or provided. Students build on earlier work in representing data and will learn how to turn category totals into angle values, then draw an accurate pie chart and explain what it shows.

Learning intentions

• WALT construct a pie chart from a dataset.
• WALT use totals to work out the angle for each section of a pie chart.
• WALT interpret a pie chart by explaining what each section represents.

Success criteria

• I can total the dataset and check my numbers make sense.
• I can calculate each pie slice angle correctly.
• I can draw a pie chart with each slice proportional to the data.
• I can label the pie chart accurately and describe key information from it.

Curriculum links

• Statistics: interpret and construct pie charts and line graphs and use these to solve problems.
• Statistics (data representation): use clear representations to answer questions about data.
• Number (fractions/decimals/percentages): use equivalences between fractions, decimals and percentages when converting parts of a whole.
• Mean (contextual link): use averages where needed in related data investigations (e.g., to compare datasets across lessons).

Lesson structure (60 minutes)

1. 0–6 min · Starter: What makes a pie chart? Teacher shows two half-complete pie chart outlines (one with incorrect angles). Students think-pair-share: which one is more accurate and why, using “whole-to-part” language.

2. 6–16 min · Direct teach: From data to angles Teacher models the process on the board with a short dataset (e.g., Favourite snack: 10, 20, 30). Teacher shows:

• total = sum of categories
• angle = (category ÷ total) × 360 Students copy the worked example into a “Pie chart method” section of their notes.

3. 16–22 min · Guided practice: Calculate angles together Teacher provides a dataset (4 categories). Students work in pairs to calculate each angle; teacher circulates and spot-checks calculations. Whole-class shares common mistakes (e.g., forgetting to use 360, using totals incorrectly).

4. 22–36 min · Independent task: Construct your pie chart Each student receives:

• the same dataset as above
• a blank pie chart template (circle with a centre point)
• a label box for categories and angles Students calculate angles, draw radii for each slice using a protractor, colour neatly, and label each section. Teacher expects quiet focus, then quick checks at the centre point and first slice boundary.

5. 36–46 min · Checkpoint: Accuracy audit (self and partner) Students trade charts and complete a short “audit” using prompts:

• Do the angles add to 360?
• Are the largest category slices largest?
• Are labels readable and consistent with the colours? Teacher collects 3–4 charts for fast teacher feedback.

6. 46–55 min · Interpretation: Answer data questions Students answer 3 questions on the pie chart (e.g., “Which category has the greatest share?”, “Which has the smallest?”, “What fraction is the largest part?” using fractions/percent/decimal equivalence as needed). Students justify answers using the chart.

7. 55–60 min · Exit ticket Students compute one missing angle from a mini-dataset and describe what one slice means in words (e.g., “This slice represents … of the total.”).

Resources

• Pie chart templates (blank circles with centre point)
• Protractors and rulers
• Colouring pencils or markers
• Dataset cards for guided and independent tasks
• “Pie chart method” worked example (printed sheet)
• Angle calculation grid (optional student support sheet)
• Self/partner audit checklist
• Exit ticket slips

Assessment

• Teacher observes during guided practice: correct use of totals and the ×360 step.
• Pair audit identifies proportionality and labelling errors (angles not summing to 360, incorrect largest slice).
• Exit ticket checks both calculation accuracy and interpretation in words.

Differentiation

• Support: step-by-step templates with angle formula shown, plus a partially completed angle table (category, total, angle). Provide a “protractor guide” strip showing how to place the baseline at 0°.
• Support: sentence starters for interpretation (“The largest category is… because the slice angle is… therefore it represents … of the total.”).
• Core challenge: require full labelling (category, angle, and colour key) and a written justification for one answer in section 46–55 min.
• Extension (advanced learners, as set): use a second dataset where data is given as percentages rather than totals; students create a pie chart by converting each percentage to an angle (percentage × 360 ÷ 100) and explain how they know it matches the given percentages.

Extension (optional)

• Create a pie chart using percentages from a larger dataset (given as % totals). Students write a one-paragraph explanation comparing two categories by using their calculated angles and related fractions/decimals.