Fractions of a whole
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
Lesson
Set out your lesson
“Fractions of a whole 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 of a whole, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Fractions of a whole, not mastery.
Share and support
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 practiceFractions of a whole practice
Practice key ideas from Fractions of a whole.
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
Naming the Whole for a Fraction
Before you open · source notes
Name the whole that makes a pictured piece a unit fraction. This supports fractions of a whole, not every fraction operation.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk what the whole is before naming the fraction. Keep the solution diagram for the adult.
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. “Naming the Whole for a Fraction.” 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
- Given a shape divided into 5 equal parts, identify one shaded part as 1/5
- Explain that 3/4 means 3 parts each of size 1/4
- Draw a model showing 2/6 as 2 pieces of a whole cut into 6
“If you cut a pizza into 6 equal slices, can your child explain what 1/6 means — and then work out what 4/6 of the pizza looks like?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 7–10
Standards