Development draft · local review needed

Day 14 · Commission is a percentage of a named baseYear 11 Maths · T1 W3–4 · Day 14 lesson

Prepare this lesson

Year 11 / Mathematics / Term 1 / Weeks 03 04

Part of the full two-week lesson sequence. Check the pack guide and taught point before teaching.

Open for this lesson: Pack guide · Fresh learner checks · Aids and text routes.

Teacher copy: This page may include teaching prompts or answer keys. Answer keys in this public library can be viewed by anyone. Give learners a clean prompt, use checks as formative evidence, and change a case locally when prior access matters.

Learner choices

Goal: calculate Card C base-plus-commission scenarios and interpret percentage base. 25 = 2 + 5 + 6 + 7 + 5.

0–2: Point to “4.5% of eligible sales”. Ask whether 4.5% is taken from $180 base, $1,200 sales or total pay.
2–7: Model 0.045×$1,200=$54 commission; 180+54=$234 gross model shift total. Estimate 5% of $1,200 is $60, so $54 is credible.
7–13: Learners compute $800 sales → $36 commission/$216 total and $1,600 → $72/$252; compare how an extra $400 eligible sales adds $18 in this fixed rule.
13–20: Routes: move a base-pay block plus 4.5%-of-sales strips; complete the commission table; write a formula T(s)=180+0.045s and explain it orally/AAC. All routes label base, sales, commission and unknown real conditions.
20–25: Exit “Why is $180 + 4.5 = $184.50 wrong?” Key: 4.5 is a percent, not a dollar commission. Move: estimate 5% of $1,200 first, then calculate exactly.

Alternative domain: Imaginary adult gallery sales desk. Optional/home: calculate 3% of invented $600 eligible sales with a fictional $200 base; no actual sales.

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