Decimal & Percent Notation
Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value
Lesson
Set out your lesson
“Decimal & Percent Notation 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 Decimal & Percent Notation, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Decimal & Percent Notation, not mastery.
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Teaching approaches
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1 approach
Decimal & Percent Notation 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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Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceDecimal & Percent Notation practice
Practice key ideas from Decimal & Percent Notation.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Which number is it?
Before you open · source notes
Which number is it? supports reading decimal place-value notation. Not every percent conversion table.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to name the value of a digit in a decimal and say the place.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Which number is it?.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Read and write decimal numbers correctly, identifying the value of each digit (ones, tenths, hundredths)
- Use the % symbol correctly and explain that per cent means 'out of 100'
- Convert between simple fractions, decimals, and percentages (e.g. 1/2 = 0.5 = 50%) and explain why they are equal
“If your child saw '0.5' and '50%' written down, could they explain that they both mean the same amount — and write them as a fraction too?”
Curriculum record
- Type
- Language
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 8–13
Standards