Recurring Decimals — Interactive Lesson (Ages 14–16)

☆☆☆☆☆ Add your review • Year 10–11 • 🎓 Interactive Lesson & Activities

A 24-slide interactive GCSE lesson on recurring decimals: converting pure and mixed recurring decimals to fractions, with worked proofs and self-marking questions.

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Can your students turn 0.219219… into a fraction? This 24-slide interactive lesson teaches recurring decimals and how to convert them to fractions.

Mastering Recurring Decimals at GCSE

Students learn the concept of recurring decimals and how to tell different types apart, then convert recurring decimals into fractions. They multiply to shift the decimal point by one full block, subtract to remove the repeating part and simplify the result. For a three-digit block, 1000x − x = 999x = 219, so x = 219/999 = 73/333. The lesson also covers decimals with a non-repeating part, and finishes with written proof tasks.

What’s Included

24-slide interactive lesson on recurring decimals
Learning objectives on identifying types and converting to fractions
Step-by-step algebraic method for pure recurring decimals
Longer blocks and decimals with a non-repeating part
Ten quiz questions, a sorting activity and five written tasks including proofs

Key Benefits for Students

Makes the algebraic method clear and repeatable
Builds fluency simplifying fractions to lowest terms
Introduces proof with recurring decimals
Instant feedback on the quiz questions

Why Teachers Love It

No prep — ready for whole-class teaching on an interactive whiteboard
Includes proof questions for higher-tier students
Self-marking quiz questions support independent practice
Suits teaching, revision and homework
A dependable lesson on a topic students often find tricky

Love this? You’ll love…

A dependable addition to a GCSE number topic, giving students a clear method for a topic that regularly appears on higher papers. Confidence here supports work on surds, proof and rational and irrational numbers.

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FAQ

What year group is this for? Years 10–11 (ages 14–16), GCSE.

Does it cover mixed recurring decimals? Yes — decimals with a non-repeating part are included.

Is it self-marking? The quiz questions give instant feedback; the written tasks are for teacher or self-checking.

Year Groups	Year 10–11
Resource Type	🎓 Interactive Lesson & Activities
Format	Digital Only
Curriculum	England & Wales — KS4 (Years 10–11)
Added	22 April 2019