Codes: AC9M7N05, AC9M7N06. Goal: transfer to unseen 2/3+1/4, 7.2÷0.3 and 15% of 80. Prepare: closed learner check, separate staff key. Do not show check figures in routes before this point.
- Launch · 2 min. Explain that a new problem shows which strategy to teach next, not a rank of students.
- Model · 5 min. Rehearse different figures:
1/2+1/4=3/4and2.4÷0.6=4; put them away. - Guide · 6 min. Find 25% of 40 =10 through one quarter. Ask what 100% names; do not show the held-out percent.
- Independent check · 6 min. Give unseen Items 1–2. Read wording neutrally or supply a blank tactile representation without choosing steps.
- Check exit · 4 min. Item 3 asks for a percentage of a named whole and a check. Preserve first responses; D15 routes are later practice.
- Note · 2 min. Record equivalence, place value/grouping, percent whole and estimation separately. If access/time prevented a response, mark not observed.
Optional home/extension: Later practice only; do not coach the held-out page as homework.
Week 4 · Prime products, powers and square roots
A prime factorisation uses only primes. Exponent notation compresses repeated multiplication: 2³=2×2×2=8, not 2×3. Distinct factor trees for one number must yield the same prime product. A positive perfect square has an integer square root; √144=12 because 12²=144, with the principal square root positive in this pack. The code links below are partial encounters, not broad mastery claims.