Complex Multi-Step Problems
Make sense of complex multi-step problems involving large numbers, fractions, decimals, and percentages by analysing what is known and unknown, planning multi-step strategies, and evaluating reasonableness through estimation and inverse operations
Lesson
Set out your lesson
“Complex Multi-Step Problems means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Paper strips or a folded circle
- Pencil and labels (1/2, 1/4)
Extra for the adult
Worked example. Fold a strip in half: each piece is 1/2 of the whole.
Optional challenge. For Complex Multi-Step Problems, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Complex Multi-Step Problems, not mastery.
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Teaching approaches
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1 approach
Complex Multi-Step Problems means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Paper strips or a folded circle; Pencil and labels (1/2, 1/4). Adult folds a strip into halves and labels 1/2. Child makes three fair shares (halves/quarters) and names each piece. Done: three correctly named equal parts. Stop after the fresh check; keep optional challenge for another day.
Family records and proof options
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Practice this concept
Start practiceComplex Multi-Step Problems practice
Practice key ideas from Complex Multi-Step Problems.
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Learning resources
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NRICH · Practice link — not the full lesson
Primary
Before you open · source notes
Primary supports Complex Multi-Step Problems. An adult previews and guides; this is a learning page, not a scored quiz.
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Before you openAsk the learner one fact they learned and one question they still have.
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Source, access and review notes
Public NRICH page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
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Check understanding
- Break a three-step problem involving unit conversion and multiplication into sub-problems and solve systematically
- Estimate 4,832 × 7 as roughly 5,000 × 7 = 35,000 to check a calculated answer of 33,824
- Identify that a percentage answer over 100% doesn't make sense in context
“When your child faces a complex multi-step maths problem involving percentages, large numbers, or fractions, do they pause to identify what's known, estimate an answer, and then check their final result makes sense?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 9–10
Standards