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Day 3 · A part-to-part ratio is not a part-to-whole fractionYear 11 Essential Maths · T1 W1–2 · Day 3 lesson

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Year 11 / Essential Mathematics / Term 1 / Weeks 01 02

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

Open for this lesson: Pack guide · Worked swaps · 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: use Card C to connect ratio and fractions without swapping denominators. 25 = 2 + 5 + 6 + 7 + 5.

0–2: Show eight story and twelve information badge tokens; ask for the total before any fraction.
2–7: Model story:information 8:12; story fraction of all 8/20; information fraction 12/20. The colon compares groups, and a fraction names a part of a specified whole.
7–13: Learners simplify fractions to 2/5 and 3/5, check they sum to one, then note story:information simplifies to 2:3.
13–20: Routes: place eight and twelve tokens into the part-whole tray; shade two sections of a 20-cell strip and label denominators; voice/type/AAC 8:12, 8/20, 12/20 with a sentence naming each whole. All routes verify 8+12=20.
20–25: Exit “Why isn't story's share 8/12?” Key: 12 is the other part, not all 20 badges. Move: circle the phrase “of all” and count the total first.

Alternative domains: fictional map markers or studio cue cards. Optional/home: use invented 2 red and 3 plain shapes to show ratio and red fraction of all. Two more cases.

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