Lesson 5

Multi-Step Problems and Reasonableness

Choose operations, ignore distractions, and critique implausible answers

Success criteria

Explain

Route A has 8 stops at HK$3.75 per stop, a HK$12 fixed fee, and a HK$5 coupon. Route B has 6 stops at HK$4.50 plus a HK$9 fee. A driver’s favourite colour is blue. Explain why the colour is unnecessary and why the coupon must be subtracted only once.

Independent practice

What is Route A's total cost?

What is Route B's total cost?

How much more does Route A cost than Route B?

A solver says Route A costs HK$370. What is the strongest first critique?

Transfer — offline route decision

Create two workable delivery or event-budget options using paper. Include one distracting fact. Ask another person to choose the cheaper valid option and defend the operation sequence.

Delayed check

One week later, solve an unfamiliar two-option budget problem. Before calculating, circle the question, cross out unnecessary information, and write an estimate range.

Evidence and next step

Save the independently solved transfer problem at jeremy/portfolio/math/unit-2/route-decision.md.

Learning record

Evidence and next step

Saved on this browser

Completion is not mastery. Save the durable work in the repository, then record its path here.