Success: determine divisibility by factor evidence and show a remainder when appropriate. Prepare 36 counters or number cards. (AC9M5N02)
- Recall · 2 min. Ask whether a factor pair gives a division fact. Example
4×6=24gives24÷6=4. - Model · 4 min. Arrange 36 into six equal rows:
36÷6=6. Test five rows: five groups of seven use 35, one remains. - Guided compare · 5 min. Check divisibility of 36 by 4, 9 and 5 with facts:
4×9,9×4, and no whole factor 5. - Independent turn · 7 min. For 30, test divisors 3, 4, 5 and 6. Key: yes
3×10, no4×7=28with 2 left, yes5×6, yes6×5. - Explain · 4 min. Learners compare a quick rule with an array or inverse multiplication check. Teacher looks for reasoning, not a memorised slogan.
- Exit · 3 min. “Is 36 divisible by 5 into whole equal groups?” Key: no; one is left after seven in each of five groups.