Percentages as Fractions
Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100%
Lesson
Set out your lesson
“Percentages as 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 Percentages as Fractions, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Percentages as Fractions, not mastery.
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Teaching approaches
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1 approach
Percentages as 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 Percentages as 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
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Practice this concept
Start practicePercentages as Fractions practice
Practice key ideas from Percentages as Fractions.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
BBC Bitesize · Practice link — not the full lesson
KS2 Maths
Before you open · source notes
KS2 Maths supports Percentages as Fractions. An adult previews and guides; this is a learning page, not a scored quiz.
Free educational page, no sign-in required for the tested path.
Before you openAsk the learner one fact they learned and one question they still have.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public BBC Bitesize 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.
BBC Bitesize. “KS2 Maths.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check understanding
- Convert fluently between percentages, fractions, and decimals
- Express one quantity as a percentage of another
- Calculate percentage increases and decreases and interpret percentages greater than 100%
“If a shop says a TV is 130% of its original price, does your child understand what that means — and can they work out the new price from the original?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Ratio & Proportion
- Age range
- Ages 11–13
Standards