Real-World Maths Modelling
Model real-world problems involving scaling, unit conversion, area/perimeter, and percentage by selecting appropriate mathematical representations and interpreting results in context
Lesson
Set out your lesson
“Real-World Maths Modelling 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
- 100-square grid or 10×10 paper
- Pencil
Extra for the adult
Worked example. 25 shaded squares out of 100 is 25%.
Optional challenge. For Real-World Maths Modelling, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Real-World Maths Modelling, not mastery.
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Teaching approaches
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1 approach
Real-World Maths Modelling 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: 100-square grid or 10×10 paper; Pencil. Adult shades 25 squares and says 25%. Child shades three percent amounts and names each percent. Done: three correct percent names for shaded parts. Stop after the fresh check; keep optional challenge for another day.
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Learning resources
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Primary
Before you open · source notes
Primary supports Real-World Maths Modelling. An adult previews and guides; this is a learning page, not a scored quiz.
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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
- Model a recipe-scaling problem with multiplication and fractions, then interpret the answer in grams
- Represent a room-carpet problem by drawing a scale diagram and applying the area formula
- Use a percentage bar model to find a sale price and explain the answer in £
“When your child is solving a real-world maths problem — like scaling a recipe or converting units — do they choose a sensible representation, carry out the maths, and then explain what the result means in the real situation?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 9–10
Standards