Success: use compensation, partitioning or a standard algorithm deliberately and explain a bound. Prepare: 247×18 model. Codes: AC9M5N06, AC9M5N08.
- Recall · 2 min. Ask why 18 might be rewritten as 20−2. Key: 20 is easy to multiply by; subtract two extra groups.
- Model · 5 min. Show
247×18=247×20−247×2=4,940−494=4,446. Check against250×18=4,500; exact is 54 below because each of 18 groups has 3 fewer. - Guide · 6 min. Compare
125×32=(125×(4×8))with125×(30+2)=3,750+250=4,000. A learner may use 125×8=1,000 then ×4=4,000. Ask why either route is efficient here, and why125×30is 3,750 rather than 375. - Choose · 7 min. Day 14 A/B/C route with two possible strategies; child selects and defends one. Correct alternatives count if exact and inspectable.
- Exit · 3 min. “Is 44,460 a reasonable result for 247×18?” Key: no; scale near 4,500, about ten times smaller. Revisit place alignment if needed.
- Record · 2 min. Note choice, correctness and reasonableness separately; do not insist on one prescribed algorithm.