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Day 11 · Add fractions without changing the wholeYear 7 Maths · T1 W3–4 · Day 11 lesson

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Year 7 / 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 · Sources and materials · Daily routes · Worked swaps · Fresh learner checks · Aids and text routes.

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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 prompts

Codes: AC9M7N04, AC9M7N06. Goal: explain 1/2+3/8 and 5/6−1/3 with common units. Prepare: operation and check mat, matching fraction strips.

  1. Launch · 2 min. Ask if half a fictional page plus three eighths of the same page is above or below one whole.
  2. Model · 5 min. Rename 1/2=4/8; then 4/8+3/8=7/8, below one. Show the same whole strip, not two differently sized pages.
  3. Guide · 6 min. Rename 1/3=2/6; 5/6−2/6=3/6=1/2. Learners explain why adding/subtracting denominators would change unit size. Compare result with zero and one.
  4. Choice · 6 min. D11-A/B/C: original mosaic, time-segment or error-repair route. Every route needs an equivalent-name step and plausibility check.
  5. Exit · 4 min. Solve 3/4−1/8=6/8−1/8=5/8, then say why it is less than 3/4. This revisits a familiar operation to separate method from new numbers.
  6. Note · 2 min. Record whether the learner preserved one whole and justified denominator choice; recheck a fresh pair if not.

Optional home/extension: Draw a same-length strip and solve 1/2+1/4=3/4. Extension: two strategies for 5/6−1/3.

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