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Day 17 · Read powers as repeated prime factorsYear 7 Maths · T1 W3–4 · Day 17 lesson

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Year 7 / Mathematics / Term 1 / Weeks 03 04

Part of the full two-week lesson sequence. Check the pack guide and taught point before teaching.

Open for this lesson: Pack guide · Sources and materials · Daily routes · Worked swaps · Fresh learner checks · Aids and text routes.

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Teacher copy: This page may include teaching prompts or answer keys. Answer keys in this public library can be viewed by anyone. Give learners a clean prompt, use checks as formative evidence, and change a case locally when prior access matters.

Learner prompts

Code: AC9M7N02. Goal: represent 72 accurately as 2³×3² and distinguish base/exponent. Prepare: factor cards and tree.

Launch · 2 min. Ask what the small 3 in 2³ counts: three factors of 2.
Model · 5 min. Factor 72=8×9=(2×2×2)×(3×3)=2³×3². Check 8×9=72; 2³ is 8, not 6.
Guide · 6 min. Start another tree 72=12×6=(2×2×3)×(2×3); regroup to 2³×3². A different branch order changes no prime counts.
Choice · 6 min. D17-A/B/C: tree comparison, spoken exponent description or error diagnosis with a new composite.
Exit · 4 min. Evaluate 2³×3² as 8×9=72, and expand 3² as 3×3.
Note · 2 min. If learner reads 2³ as 2×3, place three 2-cards and revisit with 3² as a contrasting card.

Optional home/extension: Make base/exponent cards; extension: compare 2²×3²=36 with 2³×3²=72 and explain the extra factor of 2.

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