Fractions on a number line
Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line
Lesson
Set out your lesson
“Fractions on a number line 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 Fractions on a number line, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Fractions on a number line, not mastery.
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Teaching approaches
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1 approach
Fractions on a number line 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.
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Practice this concept
Start practiceFractions on a number line practice
Practice key ideas from Fractions on a number line.
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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
Locating Fractions Less than One on the Number Line
Before you open · source notes
Mark quarters, thirds, and unit fractions on a number line from 0 to 1. An adult may provide folding or partitioning support. The diagram images need an adult description because their alt text is not meaningful.
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 show equal parts between 0 and 1 before labeling. The HTML alt check is done; a screen-reader pass of the diagram is still open. No CCSS or California tag is added.
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 2026-11-10 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. “Locating Fractions Less than One on the Number Line.” 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
- Place 1/2, 1/4, 3/4 on a number line from 0 to 1
- Identify that 1/3 lies between 0 and 1/2 on the number line
- Understand that a fraction is a single number, not just 'part of a shape'
“If you draw a number line from 0 to 1, can your child mark where 1/4, 1/2, and 3/4 should go — without any extra help?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 7–10
Standards