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MathematicsFractionsAges 11–13

Decimals and fractions (age 11+)

Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8); convert fluently between the two forms

Lesson

Set out your lesson

“Decimals and fractions (age 11+) 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 11+), 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 11+), not mastery.

Continue learning
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 practice
Gakuva activity

Decimals and fractions (age 11+) practice

Practice key ideas from Decimals and fractions (age 11+).

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.

PhET Interactive Simulations · Practice link — not the full lesson

Fraction Matcher

Open practice (new tab)
Before you open · source notes

Fraction Matcher supports hands-on exploration for Decimals and fractions (age 11+). Not every lab worksheet.

Free interactive page, no sign-in required for the tested path.

Before you open

Ask the learner what they changed in the sim or page and what they observed.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

PhET Interactive Simulations. “Fraction Matcher.” External page; Gakuva does not copy, host, embed, or redistribute materials.

Unknown — link only

Check understanding

  • Convert any terminating decimal to a fraction in simplest form
  • Convert any fraction with a denominator whose prime factors are only 2 and 5 to a terminating decimal
  • Explain why some fractions produce terminating decimals and others do not
“If your child sees 0.375 on a calculator display, can they convert it to a fraction in its simplest form — without using the calculator?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Fractions
Age range
Ages 11–13

Standards

ccss-math:7.NS.2duk-nc-2013:KS3.Maths.Num.9