Develop pupils’ understanding of pie charts with this editable, 58-slide Year 8 maths PowerPoint. Pupils read sectors, connect angles to proportions, calculate category frequencies and work backwards to find survey totals.
Designed for print-free teaching, with questions displayed on screen and responses completed in exercise books or on mini-whiteboards. Pupils interpret the supplied charts without needing to draw or print them.
WHAT IS INCLUDED?
• One editable PowerPoint containing 58 slides.
• Six retrieval questions and six prerequisite questions, each with grouped answers.
• Illustrated vocabulary covering sector, key, frequency, proportion and sample size.
• A worked example linking sector angles to category frequencies.
• Six matched I Do/We Do examples, followed by worked answers.
• Twenty AFL questions, each immediately followed by its answer.
• Twenty-four controlled practice questions with answers.
• Eight Developing, eight Secure and five Greater Depth questions, plus a Super Challenge on the same page.
• Separate answer slides for Developing, Secure, Greater Depth and the Super Challenge.
• A final methods reminder.
MODELLING
The I Do/We Do page uses three matched pairs: (1) with (4), (2) with (5), and (3) with (6). Pupils identify the most popular category, calculate a frequency from an angle and total, then find the total from a known category frequency. Charts have direct labels and space for teacher working. Worked answers explain the proportion or degrees-per-person method.
AFL FOR MINI-WHITEBOARDS
The twenty checks move through identifying categories, simplifying sector fractions, finding percentages, calculating frequencies and recovering totals. Later questions use equal slices and challenge the assumption that a large sector must represent a large number of people.
CONTROLLED PRACTICE
Three columns each use one shared chart and eight questions. Pupils first find A’s frequency from a quarter-circle sector, then B’s frequency from a one-third sector. The final column reverses the process: pupils know A’s frequency and calculate the survey total. Values change within each column while the chart remains fixed, helping pupils focus on the relationship between angle, proportion and frequency.
DIFFERENTIATED APPLICATION
Developing uses fresh values and varied angles. Secure includes missing sectors, differences between categories, reverse calculations and the number outside a category. Greater Depth asks pupils to test exact claims, compare charts with different totals, explain why doubling every frequency preserves the angles, and reason about a changing survey.
SUPER CHALLENGE
A survey of 80–100 pupils has exact sectors of 90, 120 and 150 degrees. Pupils find every possible total giving whole-number category frequencies, calculate those frequencies and explain why their list is complete. A clear divider separates the challenge from the other tasks.
Suitable for Year 8 teaching and KS3 revision. Topic reference: M165.
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