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Day 20 · Fresh prime-power and square-root checkYear 7 Maths · T1 W3–4 · Day 20 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

Codes: AC9M7N01, AC9M7N02. Goal: transfer factorisation and square-root reasoning to unseen 108, 196 and 75. Prepare: closed learner check, staff key, blank factor tree/root mat.

  1. Launch · 2 min. Remind learners to multiply prime leaves back and test a root by squaring it.
  2. Model · 5 min. Revisit 60=2²×3×5 and 100=10²; put those models away. Keep check values unseen.
  3. Guide · 6 min. Factor 36 as 2²×3², check 6²=36, then put away. Do not display fresh numbers.
  4. Independent check · 6 min. Give unseen Items 1–2. A blank tree or large/tactile cards may be supplied; do not choose factor leaves.
  5. Check exit · 4 min. Item 3 asks for error detection in a proposed prime product. Preserve first work; D20 routes are later.
  6. Note · 2 min. Record prime leaves, exponent counts, inverse square check and error explanation separately. A missing access format means not yet observed.

Optional home/extension: D20 extras after the check use different values; do not coach this held-out sheet at home.

The optional extra cards add short practice, not an entire mathematics day. Original SubjectNest lessons © NeuroForgeIO Pty Ltd 2026, CC BY 4.0. Exact ACARA rows and taught limits appear in the crosswalk.

Source: https://neuroforge.io/subjectnest/library/resources/year-7/mathematics/term-1/weeks-03-04/day-20 · Original material © NeuroForgeIO Pty Ltd 2026 · CC BY 4.0: https://creativecommons.org/licenses/by/4.0/ · Credit the source and note changes. External sources keep their own terms.