Equivalent fractions (age 8+)
Generate simple equivalent fractions and explain why they are equivalent using visual fraction models
Lesson
Set out your lesson
Generate and simplify equivalent fractions by repartitioning the same whole.
Before teaching
Use this short check, then start teaching.
On equal-length bars, ask why one half and two quarters cover the same length. If the learner counts shaded pieces without considering piece size, revisit equivalent fractions on a number line (mt_Ep7TDFuYUa). This activity check is inferred, not a change to canonical edges. Source availability is not learner mastery.
Check learner readiness directly; prerequisite availability is not attainment.
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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
Jon and Charlie's Run
Before you open · source notes
Two run distances look different but may be equivalent fractions. Use it for equivalence, not every unlike-denominator sum.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk whether 3/6 and 1/2 name the same distance and show why with a picture.
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. “Jon and Charlie's Run.” 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 1/3, generate 2/6 as equivalent and show with area model
- Simplify 4/8 to 1/2 and justify with a fraction strip
- Complete equivalence chains: 1/4 = ?/8 = ?/12
“If your child is shown a fraction bar split into 3 parts with 1 shaded (= 1/3), can they draw an equivalent bar with 6 parts that shows exactly the same amount shaded?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 8–11
Standards