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Day 7 · A fixed total can be divided into ratio partsYear 11 Essential Maths · T1 W1–2 · Day 7 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: allocate Card E's 35 identical labels in a 2:3 ratio with total and relationship checks. 25 = 2 + 5 + 6 + 7 + 5.

0–2: Read “large:small = 2:3” and total 35. Ask how many equal ratio parts there are altogether.
2–7: Model 2+3=5 parts; 35÷5=7 labels per part; large 2×7=14, small 3×7=21. Check 14+21=35 and 14:21=2:3.
7–13: Learners find how a second fictional total 25 would split under the same ratio (10 and15) and explain why they cannot simply give 2 and3 labels for total35.
13–20: Routes: distribute 35 counters into five equal labelled trays using the split bar; fill a 5-part strip then write counts; use offline ratio lab or voice/type/AAC equal-part and total equations. Every route provides both reverse checks.
20–25: Exit “Why is 35÷2 the wrong first division?” Key: total comprises 2+3=5 parts. Move: draw exactly five equal boxes before sharing any labels.

Alternative domains: made-up event signs or archive tags. Optional/home: split 20 imaginary tiles 1:3 and check. Two more cases.

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