Decimals and fractions (age 10+)
Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between simple fractions, decimals, and percentages in different contexts
Lesson
Set out your lesson
“Decimals and fractions (age 10+) 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 Decimals and fractions (age 10+), add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Decimals and fractions (age 10+), 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 practiceDecimals and fractions (age 10+) practice
Practice key ideas from Decimals and fractions (age 10+).
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
Money in the piggy bank
Before you open · source notes
Money in the piggy bank supports relating fraction amounts to decimal money thinking. Not every percent tax problem.
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 connect a fraction of a dollar to a decimal money amount.
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. “Money in the piggy bank.” 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
- Convert 3/8 to 0.375 by dividing 3 ÷ 8
- State that 1/5 = 0.2 = 20% from memory
- Use fraction–decimal–percentage equivalences to compare 30%, 1/3, and 0.35 and put them in order
“If your child sees 3/8 written on a worksheet, can they convert it to a decimal — and also say roughly what percentage that is?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 10–13
Standards