lesson
Compare like with like
1 · Learn
A comparison needs compatible definitions, time periods and populations. Raw totals can be misleading when group sizes differ. Rates may help, but the denominator and selection process still matter.
A higher completion rate does not by itself show one teaching method caused improvement if the groups differed in prior experience or access.
2 · Worked example
Group A completes 80 of 100 tasks and B 45 of 50. B has fewer completions but a higher completion rate: 90% versus 80%.
3 · Your turn
Which group has the higher rate in the supplied example?
Check your answer
B, at 90%, compared with A at 80%.
4 · Apply your learning
Explain one additional piece of evidence needed before attributing the difference to a teaching method.
Adult guidance and safety
Use an approved sandbox, invented data and test accounts. Do not probe other systems or expose credentials. Retain test evidence and accessibility checks; these teaching models are not a completed practical project or a specified GCSE qualification.
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Check a calculation · Year 5 onward
Use this only when your teacher or adult allows a calculator for the task. Show your thinking first. It does not replace mental or written arithmetic and does not mark your lesson answer.
Powers, roots and trigonometry · Year 7 onward
Use only when the task allows a calculator. Choose one operation at a time and record your working. Trigonometry here always uses degrees (DEG), not radians. Inverse sine, cosine and tangent return an angle, not a reciprocal. Keep exact fractions and π in answers when requested.
Approximate numerical results use up to 12 significant digits. Inverse sine returns −90° to 90°, inverse cosine 0° to 180°, and inverse tangent −90° to 90°; these are principal values, not every possible solution of a trigonometric equation.
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