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Day 16 · Break a number into prime leavesYear 7 Maths · T1 W3–4 · Day 16 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: factorise 60 and 84 with prime leaves and exponents. Prepare: factor-tree mat or text/tactile card route.

Launch · 2 min. Ask why 6×10=60 is not yet a prime factorisation: 6 and 10 are composite.
Model · 5 min. Split 60 as 6×10=(2×3)×(2×5)=2×2×3×5=2²×3×5. Check 4×3×5=60.
Guide · 6 min. Factor 84 via 4×21=(2×2)×(3×7)=2²×3×7; verify 4×3×7=84. Other valid tree shapes are welcome.
Choice · 6 min. D16-A/B/C: tree, prime-leaf cards or repair of an unfinished product. Each ends with primes only and a multiplication check.
Exit · 4 min. Is 2²×3×5 equal to 60? Yes. Is 4×3×5 already a prime product? No, because 4 is composite.
Note · 2 min. Record where factorisation stopped and whether exponent notation matches leaf count.

Optional home/extension: Draw a 60 tree on paper. Extension: start 60 with 3×20 and compare final leaves.

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