Understanding fractions
Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
Lesson
Set out your lesson
“Understanding fractions 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 Understanding fractions, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Understanding fractions, not mastery.
Share and support
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Teaching approaches
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1 approach
Understanding fractions 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). 1. Say the goal of Understanding fractions in plain words once. 2. Adult folds a strip into halves and labels 1/2. 3. Child makes three fair shares (or fraction operations with strips) and names each result. 4. Fresh check: one fresh equal-part or fraction result. Record and stop. Done: three correctly named fraction results. Proof: parent note of examples and results. Stop: End after the fresh check; keep optional challenge for another day.
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceUnderstanding fractions practice
Practice key ideas from Understanding fractions.
Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.
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 Understanding fractions. 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
- Share 40 sweets between two children in the ratio 3:5
- Solve: 'Tom gets twice as many as Sam and Sam gets three times as many as Jo. If there are 30 altogether, how many does each get?'
- Use fraction knowledge to explain why sharing in ratio 2:3 means one person gets 2/5 of the total
“If three friends share a bag of 24 sweets so that one person gets twice as many as each of the others, can your child work out how many each person receives?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Ratio & Proportion
- Age range
- Ages 10–13
Standards