Ratio Problems
Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
Lesson
Set out your lesson
“Ratio 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
- Small counters or grid paper
- Paper and pencil
Extra for the adult
Worked example. Three rows of four counters make 12. Write 3 × 4 = 12.
Optional challenge. For Ratio Problems, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Ratio Problems, not mastery.
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Teaching approaches
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1 approach
Ratio 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: Small counters or grid paper; Paper and pencil. Adult models 3 × 4 as three groups of four, then writes the product. Child builds three multiplication examples as equal groups and records each product. Done: three correct products with groups matching the writing. Stop after the fresh check; keep optional challenge for another day.
Family records and proof options
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Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceRatio Problems practice
Practice key ideas from Ratio Problems.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
PhET Interactive Simulations · Practice link — not the full lesson
Proportion Playground
Before you open · source notes
Proportion Playground supports hands-on exploration for Ratio Problems. Not every lab worksheet.
Free interactive page, no sign-in required for the tested path.
Before you openAsk the learner what they changed in the sim or page and what they observed.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public PhET Interactive Simulations 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.
PhET Interactive Simulations. “Proportion Playground.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check understanding
- If the ratio of red to blue beads is 3:5 and there are 15 blue beads, find the number of red beads
- Use multiplication facts to find the missing value: 'For every 2 apples there are 5 oranges; if there are 20 oranges, how many apples?'
- Explain the multiplicative relationship between two quantities in a ratio context
“If a recipe uses 3 eggs for every 200g of flour, can your child work out how many eggs would be needed for 600g of flour?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Ratio & Proportion
- Age range
- Ages 10–13
Standards