Day 22 · An allowance is a separate unitYear 11 Maths · T1 W5–6 · Day 22 lesson

Goal: add Card I's one-shift fixed allowance after calculating regular and additional-hour amounts. 25 = 2 + 5 + 6 + 7 + 5.

1. 0–2: Ask whether $24 allowance means $24/hour, $24 once or unknown. Source says once for this model shift.
2. 2–7: Model 6×31=$186; 1.25×31=$38.75/hour; 2×38.75=$77.50; then add fixed $24, total $287.50.
3. 7–13: Learners reverse-add the four parts, then estimate 186+about78+24≈288. Contrast an allowance with another hourly rate.
4. 13–20: Routes: use three separate raised trays labelled regular, additional and once-only; annotate the wage layers aid with a third fixed layer; enter/speak an expression 6×31+2×(1.25×31)+24, labelling each term. Every route rejects a real entitlement claim.
5. 20–25: Exit “If the $24 is added for every hour, what was misread?” Key: allowance unit was one shift. Move: rewrite each input as dollars per hour, hours, or dollars once before operations.

Alternative domains: invented gallery install or recording studio support. Optional/home: invent a one-time $10 materials allowance beside 3 hours at $18/hour, then say which conditions remain unknown. Two optional swaps.