Fractions, decimals & percentages
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Focus areas in this topic
Stage 2: Partitioned fractions A · Stage 2: Partitioned fractions B · Stage 3: Representing quantity fractions A · Stage 3: Representing quantity fractions B · Stage 4: Fractions, decimals and percentages
Stage 2 (Year 3, 4)
Stage 3 (Year 5, 6)
- GameDrillMath Playground: Thinking Blocks FractionsUse it for: Fraction-of-a-quantity word problems with bar models.
- PhET Build a FractionUse it for: Build target fractions from pieces in game levels.
- PhET Fraction MatcherUse it for: Quick matching game pairing fraction symbols with diagrams, including mixed numbers.
- PhET Fractions: EqualityUse it for: Match equivalent fractions in the built-in game levels to practise equivalence.
- Interactive toolStarterFractions app (Math Learning Center)Use it for: Bar models for comparing and adding fractions.
- Mathigon PolypadUse it for: Virtual manipulatives: fraction bars, algebra tiles, cubes and polygons.
- Interactive toolStarterMathsbot: ManipulativesUse it for: Virtual manipulatives incl. algebra tiles, two-colour counters, fraction walls.
- Interactive toolStarterNumber Line (Math Learning Center)Use it for: Place decimals, fractions and integers on an open number line.
- SimulationDrillPhET Area Model DecimalsUse it for: Visualise multiplying decimals with an area model.
- PhET Fractions: IntroUse it for: Represent and compare fractions with pies, bars and number lines in a discovery lesson.
- WorksheetDrillKuta free worksheet: Decimal multiplication with area diagramsUse it for: Printable skills-practice sheet with answer key on decimal multiplication with area diagrams; good for drill or homework.
Stage 4 (Year 7, 8)
- GameDrillMath Playground: Thinking Blocks FractionsUse it for: Fraction-of-a-quantity word problems with bar models.
- PhET Build a FractionUse it for: Build target fractions from pieces in game levels.
- PhET Fraction MatcherUse it for: Quick matching game pairing fraction symbols with diagrams, including mixed numbers.
- PhET Fractions: EqualityUse it for: Match equivalent fractions in the built-in game levels to practise equivalence.
- Interactive toolDrillDesmos ScientificUse it for: Free scientific calculator.
- Estimation 180Use it for: Daily estimation challenges to build number sense and reasoning about approximations.
- Mathigon PolypadUse it for: Virtual manipulatives: fraction bars, algebra tiles, cubes and polygons.
- Interactive toolStarterMathigon: Greatest common factorUse it for: Interactive HCF lesson using factor lists and prime factors.
- Interactive toolStarterMaths Is Fun: Converting decimals to fractionsUse it for: Steps to convert decimals to fractions.
- Interactive toolStarterMaths Is Fun: Converting fractions to decimalsUse it for: Methods for converting fractions to decimals.
- Interactive toolStarterMaths Is Fun: Fraction number lineUse it for: Interactive number line showing fractions and decimals.
- Interactive toolStarterMaths Is Fun: Irrational numbersUse it for: What makes a number irrational, with examples.
- Interactive toolStarterMaths Is Fun: Percentage changeUse it for: Calculating percentage increase and decrease.
- Interactive toolStarterMathsbot: Do Now (retrieval starters)Use it for: Auto-generated mixed retrieval starters; pick topics to revisit.
- Interactive toolStarterMathsbot: Fraction wallUse it for: Fraction wall for equivalence and comparison.
- Interactive toolStarterMathsbot: ManipulativesUse it for: Virtual manipulatives incl. algebra tiles, two-colour counters, fraction walls.
- Interactive toolStarterNumber Line (Math Learning Center)Use it for: Place decimals, fractions and integers on an open number line.
- Interactive toolStarterPolypad virtual manipulatives (algebra tiles, fraction bars, number lines)Use it for: Free virtual manipulatives; use algebra tiles to model expanding/factorising or fraction bars for equivalence.
- SimulationDrillPhET Area Model DecimalsUse it for: Visualise multiplying decimals with an area model.
- SimulationDrillPhET Fractions: Mixed NumbersUse it for: Convert between improper fractions and mixed numbers with visual models.
- Corbettmaths practice questions: Decimals: division by decimalsUse it for: Free printable graded practice questions (with answers) on decimals: division by decimals for drill or a quick check.
- Corbettmaths practice questions: Decimals: recurring decimalsUse it for: Free printable graded practice questions (with answers) on decimals: recurring decimals for drill or a quick check.
- Corbettmaths practice questions: FDP: decimals to fractionsUse it for: Free printable graded practice questions (with answers) on fdp: decimals to fractions for drill or a quick check.
- Corbettmaths practice questions: FDP: orderingUse it for: Free printable graded practice questions (with answers) on fdp: ordering for drill or a quick check.
- Corbettmaths practice questions: FDP: percentages to decimalsUse it for: Free printable graded practice questions (with answers) on fdp: percentages to decimals for drill or a quick check.
- Corbettmaths practice questions: FDP: percentages to fractionsUse it for: Free printable graded practice questions (with answers) on fdp: percentages to fractions for drill or a quick check.
- Corbettmaths practice questions: Fractions: addition diff denominatorsUse it for: Free printable graded practice questions (with answers) on fractions: addition diff denominators for drill or a quick check.
- Corbettmaths practice questions: Fractions: addition same denominatorUse it for: Free printable graded practice questions (with answers) on fractions: addition same denominator for drill or a quick check.
- Corbettmaths practice questions: Fractions: divisionUse it for: Free printable graded practice questions (with answers) on fractions: division for drill or a quick check.
- Corbettmaths practice questions: Fractions: equivalentUse it for: Free printable graded practice questions (with answers) on fractions: equivalent for drill or a quick check.
- Corbettmaths practice questions: Fractions: expressing asUse it for: Free printable graded practice questions (with answers) on fractions: expressing as for drill or a quick check.
- Corbettmaths practice questions: Fractions: fraction of an amountUse it for: Free printable graded practice questions (with answers) on fractions: fraction of an amount for drill or a quick check.
- Corbettmaths practice questions: Fractions: improper to mixed numberUse it for: Free printable graded practice questions (with answers) on fractions: improper to mixed number for drill or a quick check.
- Corbettmaths practice questions: Fractions: multiplicationUse it for: Free printable graded practice questions (with answers) on fractions: multiplication for drill or a quick check.
- Corbettmaths practice questions: Fractions: orderingUse it for: Free printable graded practice questions (with answers) on fractions: ordering for drill or a quick check.
- Corbettmaths practice questions: Money: DiscountsUse it for: Free printable graded practice questions (with answers) on money: discounts for drill or a quick check.
- Corbettmaths practice questions: Money: ProfitUse it for: Free printable graded practice questions (with answers) on money: profit for drill or a quick check.
- Corbettmaths practice questions: Number: common factors/HCFUse it for: Free printable graded practice questions (with answers) on number: common factors/hcf for drill or a quick check.
- Corbettmaths practice questions: Number: rational/irrationalUse it for: Free printable graded practice questions (with answers) on number: rational/irrational for drill or a quick check.
- Corbettmaths practice questions: Percentages: changeUse it for: Free printable graded practice questions (with answers) on percentages: change for drill or a quick check.
- Corbettmaths practice questions: Percentages: expressing asUse it for: Free printable graded practice questions (with answers) on percentages: expressing as for drill or a quick check.
- Corbettmaths practice questions: Percentages: increasing/decreasingUse it for: Free printable graded practice questions (with answers) on percentages: increasing/decreasing for drill or a quick check.
- Corbettmaths practice questions: Percentages: multipliersUse it for: Free printable graded practice questions (with answers) on percentages: multipliers for drill or a quick check.
- Corbettmaths practice questions: Percentages: of an amount (calc)Use it for: Free printable graded practice questions (with answers) on percentages: of an amount (calc) for drill or a quick check.
- Corbettmaths practice questions: Percentages: of an amount (non-calc)Use it for: Free printable graded practice questions (with answers) on percentages: of an amount (non-calc) for drill or a quick check.
- Corbettmaths practice questions: Percentages: reverseUse it for: Free printable graded practice questions (with answers) on percentages: reverse for drill or a quick check.
- Corbettmaths practice questions: Rounding: to decimal placesUse it for: Free printable graded practice questions (with answers) on rounding: to decimal places for drill or a quick check.
- WorksheetDrillKuta free worksheet: Adding and subtracting fractions and mixed numbersUse it for: Printable skills-practice sheet with answer key on adding and subtracting fractions and mixed numbers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Converting between fractions and decimalsUse it for: Printable skills-practice sheet with answer key on converting between fractions and decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Converting between percents, fractions and decimalsUse it for: Printable skills-practice sheet with answer key on converting between percents, fractions and decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Decimal multiplication with area diagramsUse it for: Printable skills-practice sheet with answer key on decimal multiplication with area diagrams; good for drill or homework.
- WorksheetDrillKuta free worksheet: Dividing fractionsUse it for: Printable skills-practice sheet with answer key on dividing fractions; good for drill or homework.
- WorksheetDrillKuta free worksheet: Dividing fractions: how many groups?Use it for: Printable skills-practice sheet with answer key on dividing fractions: how many groups?; good for drill or homework.
- WorksheetDrillKuta free worksheet: Finding percent changeUse it for: Printable skills-practice sheet with answer key on finding percent change; good for drill or homework.
- WorksheetDrillKuta free worksheet: Greatest common factorUse it for: Printable skills-practice sheet with answer key on greatest common factor; good for drill or homework.
- WorksheetDrillKuta free worksheet: Greatest common factor (HCF)Use it for: Printable skills-practice sheet with answer key on greatest common factor (hcf); good for drill or homework.
- WorksheetDrillKuta free worksheet: HCF and LCM word problemsUse it for: Printable skills-practice sheet with answer key on hcf and lcm word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Markup, discount and taxUse it for: Printable skills-practice sheet with answer key on markup, discount and tax; good for drill or homework.
- WorksheetDrillKuta free worksheet: Markup, discount and tax (harder)Use it for: Printable skills-practice sheet with answer key on markup, discount and tax (harder); good for drill or homework.
- WorksheetDrillKuta free worksheet: Multiplying and dividing fractions and mixed numbersUse it for: Printable skills-practice sheet with answer key on multiplying and dividing fractions and mixed numbers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Multiplying decimalsUse it for: Printable skills-practice sheet with answer key on multiplying decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Percent word problemsUse it for: Printable skills-practice sheet with answer key on percent word problems; good for drill or homework.
- NRICH: Antiques RoadshowUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Fractions JigsawUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Peaches Today, Peaches Tomorrow...Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Percentage UnchangedUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: RepetitiouslyUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- Open Middle: problem collectionUse it for: Problems with one answer but many paths; use as low-floor high-ceiling extensions.
- VideoStarterCorbettmaths video: Decimals: division by decimalsUse it for: Short worked-example video on decimals: division by decimals to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Decimals: multiplyingUse it for: Short worked-example video on decimals: multiplying to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Decimals: recurring decimalsUse it for: Short worked-example video on decimals: recurring decimals to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: FDP: decimals to fractionsUse it for: Short worked-example video on fdp: decimals to fractions to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: FDP: decimals to percentagesUse it for: Short worked-example video on fdp: decimals to percentages to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: FDP: fractions to decimalsUse it for: Short worked-example video on fdp: fractions to decimals to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: FDP: fractions to percentagesUse it for: Short worked-example video on fdp: fractions to percentages to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: FDP: orderingUse it for: Short worked-example video on fdp: ordering to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: FDP: percentages to decimalsUse it for: Short worked-example video on fdp: percentages to decimals to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: FDP: percentages to fractionsUse it for: Short worked-example video on fdp: percentages to fractions to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: addition diff denominatorsUse it for: Short worked-example video on fractions: addition diff denominators to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: addition same denominatorUse it for: Short worked-example video on fractions: addition same denominator to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: divisionUse it for: Short worked-example video on fractions: division to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: equivalentUse it for: Short worked-example video on fractions: equivalent to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: expressing asUse it for: Short worked-example video on fractions: expressing as to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: fraction of an amountUse it for: Short worked-example video on fractions: fraction of an amount to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: improper to mixed numberUse it for: Short worked-example video on fractions: improper to mixed number to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: mixed number to improperUse it for: Short worked-example video on fractions: mixed number to improper to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: multiplicationUse it for: Short worked-example video on fractions: multiplication to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: orderingUse it for: Short worked-example video on fractions: ordering to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: simplifyingUse it for: Short worked-example video on fractions: simplifying to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Money: DiscountsUse it for: Short worked-example video on money: discounts to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Money: ProfitUse it for: Short worked-example video on money: profit to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Number: common factors/HCFUse it for: Short worked-example video on number: common factors/hcf to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Number: rational/irrationalUse it for: Short worked-example video on number: rational/irrational to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Percentages: changeUse it for: Short worked-example video on percentages: change to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Percentages: expressing asUse it for: Short worked-example video on percentages: expressing as to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Percentages: increasing/decreasingUse it for: Short worked-example video on percentages: increasing/decreasing to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Percentages: multipliersUse it for: Short worked-example video on percentages: multipliers to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Percentages: of an amount (calc)Use it for: Short worked-example video on percentages: of an amount (calc) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Percentages: of an amount (non-calc)Use it for: Short worked-example video on percentages: of an amount (non-calc) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Percentages: reverseUse it for: Short worked-example video on percentages: reverse to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Rounding: to decimal placesUse it for: Short worked-example video on rounding: to decimal places to model the method before practice or for flipped revision.
- Unit/PlanningSample unit – Stage 4: fractions and decimals
- Unit/PlanningStage 4 Unit 1 – making predictions (sample unit of learning)
- Unit/PlanningStage 4 Unit 12 – further multiplicative thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 15 – exploring circles (sample unit of learning)
- Unit/PlanningStage 4 Unit 3 – representing numbers (sample unit of learning)
- Unit/PlanningStage 4 Unit 4 – additive thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 5 – multiplicative thinking (sample unit of learning)
Stage 5 (Year 9, 10)
- Estimation 180Use it for: Daily estimation challenges to build number sense and reasoning about approximations.
- Interactive toolStarterMaths Is Fun: Irrational numbersUse it for: What makes a number irrational, with examples.
- Interactive toolStarterPolypad virtual manipulatives (algebra tiles, fraction bars, number lines)Use it for: Free virtual manipulatives; use algebra tiles to model expanding/factorising or fraction bars for equivalence.
- Corbettmaths practice questions: Decimals: recurring decimalsUse it for: Free printable graded practice questions (with answers) on decimals: recurring decimals for drill or a quick check.
- Corbettmaths practice questions: Number: rational/irrationalUse it for: Free printable graded practice questions (with answers) on number: rational/irrational for drill or a quick check.
- NRICH: RepetitiouslyUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- VideoStarterCorbettmaths video: Decimals: recurring decimalsUse it for: Short worked-example video on decimals: recurring decimals to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Number: rational/irrationalUse it for: Short worked-example video on number: rational/irrational to model the method before practice or for flipped revision.
Standard Year 11 (Year 11)
- Corbettmaths practice questions: Money: DiscountsUse it for: Free printable graded practice questions (with answers) on money: discounts for drill or a quick check.
- Corbettmaths practice questions: Money: ProfitUse it for: Free printable graded practice questions (with answers) on money: profit for drill or a quick check.
- WorksheetDrillKuta free worksheet: Markup, discount and tax (harder)Use it for: Printable skills-practice sheet with answer key on markup, discount and tax (harder); good for drill or homework.
- VideoStarterCorbettmaths video: Money: DiscountsUse it for: Short worked-example video on money: discounts to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Money: ProfitUse it for: Short worked-example video on money: profit to model the method before practice or for flipped revision.