Recurring Decimals — Interactive Lesson (Ages 14–16)

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…

• Simplifying Surds — Interactive Lesson (Ages 14–16)
• Writing Numbers in Standard Form — Interactive Lesson (Ages 14–16)
• Factors and Multiples — Interactive Lesson (Ages 14–16)

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.