Fractions on a number line (age 8+)
Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b
Lesson
Set out your lesson
“Fractions on a number line (age 8+) 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 (age 8+), 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 (age 8+), not mastery.
Share and support
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 practiceFractions on a number line (age 8+) practice
Practice key ideas from Fractions on a number line (age 8+).
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.
Illustrative Mathematics · Practice link — not the full lesson
Find 2/3
Before you open · source notes
Locate 2/3 on a 0-to-1 number line after equal partitioning. This is number-line fraction practice, not every equivalent-fraction family.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk how many equal parts are between 0 and 1 and why the mark is 2/3. Do not read the solution aloud as the learner’s work.
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 2026-11-11 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. “Find 2/3.” 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
- Partition a 0-to-1 number line into 4 equal parts and mark 1/4
- Explain that each part on the line has size 1/b
- Locate 1/3 and 1/6 on separate number lines
- Locate 3/4 on a number line by counting three 1/4-jumps from 0
- Place 5/6 on a number line and explain the process
- Identify a fraction shown by a point on a pre-partitioned number line
“If your child draws a number line from 0 to 1 split into 5 equal parts, can they label where 2/5 and 4/5 go — and explain how they worked it out?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 8–12
Standards