The binomial theorem
Mathematics Extension 1 11–12 (2024) · Year 11 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
ME1-11-05 uses the binomial theorem to solve problems and prove identitiesContent dot points
Each dot point has its own page with resources matched to it.
- Recognise that a binomial is an expression with two terms, and that a binomial expansion is an expansion of a power of a binomial
- Examine the symmetry formed by the coefficients of decreasing powers of x in the expansion of (x + y)ⁿ for n = 0,1,2,3,4,5 and arrange the coefficients into Pascal’s triangle
- Recognise the equivalence between the coefficient of x^(n - r)y^r in the expansion of (x + y)ⁿ and ⁿC_r, when n is a positive integer
- Use patterns and symmetry in Pascal’s triangle to confirm the identities ⁿC_r = ^(n - 1)C_r - 1 + ^(n - 1)C_r for 1 ≤ r ≤ n - 1 and ⁿC_r = ⁿC_n - r for 0 ≤ r ≤ n
- Derive the binomial theorem: (x + y)ⁿ = ⁿC_0xⁿ + ⁿC_1x^(n - 1)y + ⁿC_2x^(n - 2)y² + … + ⁿC_n - 1xy^(n - 1) + ⁿC_nyⁿ, when n is a positive integer
- Apply the binomial theorem to expand and simplify expressions of the form (x + y)ⁿ
- Use the binomial theorem to determine the coefficient of a term with a specific power or the constant term in a binomial expansion
- Use the identities ⁿC_0 = 1, ⁿC_n = 1, ⁿC_r = ^(n - 1)C_r - 1 + ^(n - 1)C_r for 1 ≤ r ≤ n - 1 and ⁿC_r = ⁿC_n - r for 0 ≤ r ≤ n to simplify expressions involving the binomial coefficients
- Prove identities involving binomial coefficients in binomial expansions by substituting values, comparing coefficients or applying a combinatorial argument to a specified context
- Apply given or proven identities involving binomial coefficients to prove further identities, without the use of calculus
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- Unit/PlanningStage 4 Unit 2 – making decisions (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)
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- Unit/PlanningSample unit – Stage 5: data analysis A
- Unit/PlanningAnnotated work samples – Stage 1, activity 1: combining and separating quantities
- Unit/PlanningTeaching advice – Stage 2: additive relations B language and vocabulary
- Unit/PlanningSample unit – Stage 5: data analysis B
- Unit/PlanningAnnotated work samples – Stage 2, activity 1: additive relations
- Unit/PlanningAnnotated work samples – Stage 2, activity 2: additive relations
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- Corbettmaths practice questions: EnlargementsUse it for: Free printable graded practice questions (with answers) on enlargements for drill or a quick check.
- VideoStarterCorbettmaths video: Equations: solvingUse it for: Short worked-example video on equations: solving to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Equations: solvingUse it for: Free printable graded practice questions (with answers) on equations: solving for drill or a quick check.
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- Corbettmaths practice questions: Equations: involving fractionsUse it for: Free printable graded practice questions (with answers) on equations: involving fractions for drill or a quick check.
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- Corbettmaths practice questions: Equations: fractional advancedUse it for: Free printable graded practice questions (with answers) on equations: fractional advanced for drill or a quick check.
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- Corbettmaths practice questions: Equations: cross multiplicationUse it for: Free printable graded practice questions (with answers) on equations: cross multiplication for drill or a quick check.
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- Corbettmaths practice questions: Equations: x squaredUse it for: Free printable graded practice questions (with answers) on equations: x squared for drill or a quick check.
- Corbettmaths practice questions: Equations: Think of a numberUse it for: Free printable graded practice questions (with answers) on equations: think of a number for drill or a quick check.
- VideoStarterCorbettmaths video: FactorisationUse it for: Short worked-example video on factorisation to model the method before practice or for flipped revision.
- Corbettmaths practice questions: FactorisationUse it for: Free printable graded practice questions (with answers) on factorisation for drill or a quick check.
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- Corbettmaths practice questions: Factorisation: quadraticsUse it for: Free printable graded practice questions (with answers) on factorisation: quadratics for drill or a quick check.
- VideoStarterCorbettmaths video: Factorisation: quadratics harderUse it for: Short worked-example video on factorisation: quadratics harder to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Factorisation: bracketsUse it for: Free printable graded practice questions (with answers) on factorisation: brackets for drill or a quick check.
- 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.
- 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.
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- 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.
- 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 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: fractions to decimalsUse it for: Short worked-example video on fdp: fractions to decimals to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Fractions: divisionUse it for: Free printable graded practice questions (with answers) on fractions: division for drill or a quick check.
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- Corbettmaths practice questions: Fractions: equivalentUse it for: Free printable graded practice questions (with answers) on fractions: equivalent for drill or a quick check.
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- 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.
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- 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.
- 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.
- 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.
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- Corbettmaths practice questions: Fractions: multiplicationUse it for: Free printable graded practice questions (with answers) on fractions: multiplication for drill or a quick check.
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- VideoStarterCorbettmaths video: Graphs: box plots- draw/interpretUse it for: Short worked-example video on graphs: box plots- draw/interpret to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Graphs: box plots- draw/interpretUse it for: Free printable graded practice questions (with answers) on graphs: box plots- draw/interpret for drill or a quick check.
- VideoStarterCorbettmaths video: Graphs: box plots (compare)Use it for: Short worked-example video on graphs: box plots (compare) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Graphs: conversion graphs (interpret)Use it for: Short worked-example video on graphs: conversion graphs (interpret) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Graphs: conversion graphs (interpret)Use it for: Free printable graded practice questions (with answers) on graphs: conversion graphs (interpret) for drill or a quick check.
- VideoStarterCorbettmaths video: Graphs: cumulative frequency (draw)Use it for: Short worked-example video on graphs: cumulative frequency (draw) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Graphs: frequency polygons (draw)Use it for: Short worked-example video on graphs: frequency polygons (draw) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Graphs: frequency polygons (draw)Use it for: Free printable graded practice questions (with answers) on graphs: frequency polygons (draw) for drill or a quick check.
- VideoStarterCorbettmaths video: Graphs: histograms (draw)Use it for: Short worked-example video on graphs: histograms (draw) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Graphs: histograms (draw)Use it for: Free printable graded practice questions (with answers) on graphs: histograms (draw) for drill or a quick check.
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- Corbettmaths practice questions: Graphs: misleading graphsUse it for: Free printable graded practice questions (with answers) on graphs: misleading graphs for drill or a quick check.
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- VideoStarterCorbettmaths video: Graphs: scatter graphs (draw)Use it for: Short worked-example video on graphs: scatter graphs (draw) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Graphs: scatter graphs (draw)Use it for: Free printable graded practice questions (with answers) on graphs: scatter graphs (draw) for drill or a quick check.
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- VideoStarterCorbettmaths video: Graphs: stem and leaf (draw)Use it for: Short worked-example video on graphs: stem and leaf (draw) to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Graphs: real life linear graphsUse it for: Free printable graded practice questions (with answers) on graphs: real life linear graphs for drill or a quick check.
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- Corbettmaths practice questions: Graphs: filling containersUse it for: Free printable graded practice questions (with answers) on graphs: filling containers for drill or a quick check.
- VideoStarterCorbettmaths video: Indices (numerical)Use it for: Short worked-example video on indices (numerical) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Indices (numerical)Use it for: Free printable graded practice questions (with answers) on indices (numerical) for drill or a quick check.
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- Corbettmaths practice questions: Indices: fractionalUse it for: Free printable graded practice questions (with answers) on indices: fractional for drill or a quick check.
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- Corbettmaths practice questions: Indices: negativeUse it for: Free printable graded practice questions (with answers) on indices: negative for drill or a quick check.
- VideoStarterCorbettmaths video: Inequalities on a number lineUse it for: Short worked-example video on inequalities on a number line to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Inequalities on a number lineUse it for: Free printable graded practice questions (with answers) on inequalities on a number line for drill or a quick check.
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- VideoStarterCorbettmaths video: Inequalities: solving (two signs)Use it for: Short worked-example video on inequalities: solving (two signs) to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: Limits of accuracyUse it for: Short worked-example video on limits of accuracy to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Limits of accuracyUse it for: Free printable graded practice questions (with answers) on limits of accuracy for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: drawing (xy table)Use it for: Short worked-example video on linear graphs: drawing (xy table) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: drawing using y=mx+cUse it for: Short worked-example video on linear graphs: drawing using y=mx+c to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: gradient of a lineUse it for: Short worked-example video on linear graphs: gradient of a line to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: Linear graphs: x=a graphsUse it for: Short worked-example video on linear graphs: x=a graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: find equation of a lineUse it for: Short worked-example video on linear graphs: find equation of a line to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Linear graphs: parallel linesUse it for: Free printable graded practice questions (with answers) on linear graphs: parallel lines for drill or a quick check.
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- Corbettmaths practice questions: Linear graphs: perpendicular linesUse it for: Free printable graded practice questions (with answers) on linear graphs: perpendicular lines for drill or a quick check.
- VideoStarterCorbettmaths video: Negatives: addition/subtractionsUse it for: Short worked-example video on negatives: addition/subtractions to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Negatives: addition/subtractionsUse it for: Free printable graded practice questions (with answers) on negatives: addition/subtractions for drill or a quick check.
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- VideoStarterCorbettmaths video: Number: best buysUse it for: Short worked-example video on number: best buys to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: Number: BODMAS (order of operations)Use it for: Short worked-example video on number: bodmas (order of operations) to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Number: cubing a numberUse it for: Free printable graded practice questions (with answers) on number: cubing a number for drill or a quick check.
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- Corbettmaths practice questions: Number: product of primesUse it for: Free printable graded practice questions (with answers) on number: product of primes for drill or a quick check.
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- Corbettmaths practice questions: Number: squaring a numberUse it for: Free printable graded practice questions (with answers) on number: squaring a number for drill or a quick check.
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- 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.
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- VideoStarterCorbettmaths video: Parallel linesUse it for: Short worked-example video on parallel lines to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Parallel linesUse it for: Free printable graded practice questions (with answers) on parallel lines for drill or a quick check.
- VideoStarterCorbettmaths video: Perpendicular linesUse it for: Short worked-example video on perpendicular lines 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.
- Corbettmaths practice questions: Percentages: changeUse it for: Free printable graded practice questions (with answers) on percentages: change for drill or a quick check.
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- 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.
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- Corbettmaths practice questions: Percentages: reverseUse it for: Free printable graded practice questions (with answers) on percentages: reverse for drill or a quick check.
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- Corbettmaths practice questions: PerimeterUse it for: Free printable graded practice questions (with answers) on perimeter for drill or a quick check.
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- Corbettmaths practice questions: Proportion: GraphsUse it for: Free printable graded practice questions (with answers) on proportion: graphs for drill or a quick check.
- VideoStarterCorbettmaths video: PythagorasUse it for: Short worked-example video on pythagoras to model the method before practice or for flipped revision.
- Corbettmaths practice questions: PythagorasUse it for: Free printable graded practice questions (with answers) on pythagoras for drill or a quick check.
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- Corbettmaths practice questions: Pythagoras: 3DUse it for: Free printable graded practice questions (with answers) on pythagoras: 3d for drill or a quick check.
- VideoStarterCorbettmaths video: Pythagoras: rectangles/isosceles triUse it for: Short worked-example video on pythagoras: rectangles/isosceles tri to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Pythagoras: show triangle is right angleUse it for: Short worked-example video on pythagoras: show triangle is right angle to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Quadratic graphs: drawingUse it for: Short worked-example video on quadratic graphs: drawing to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Quadratic graphs: drawingUse it for: Free printable graded practice questions (with answers) on quadratic graphs: drawing for drill or a quick check.
- VideoStarterCorbettmaths video: Quadratic graphs: sketching using key pointsUse it for: Short worked-example video on quadratic graphs: sketching using key points to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Quadratic graphs: finding turning pointUse it for: Free printable graded practice questions (with answers) on quadratic graphs: finding turning point for drill or a quick check.
- VideoStarterCorbettmaths video: Quadratic graphs: line of symmetryUse it for: Short worked-example video on quadratic graphs: line of symmetry to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Quadratics: solving (factorising)Use it for: Short worked-example video on quadratics: solving (factorising) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Quadratics: solving (factorising)Use it for: Free printable graded practice questions (with answers) on quadratics: solving (factorising) for drill or a quick check.
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- Corbettmaths practice questions: Quadratics: formulaUse it for: Free printable graded practice questions (with answers) on quadratics: formula for drill or a quick check.
- VideoStarterCorbettmaths video: Quadratics: forming and solvingUse it for: Short worked-example video on quadratics: forming and solving to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: QuestionnairesUse it for: Short worked-example video on questionnaires to model the method before practice or for flipped revision.
- Corbettmaths practice questions: QuestionnairesUse it for: Free printable graded practice questions (with answers) on questionnaires for drill or a quick check.
- VideoStarterCorbettmaths video: Ratio: simplifyingUse it for: Short worked-example video on ratio: simplifying to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Ratio: simplifyingUse it for: Free printable graded practice questions (with answers) on ratio: simplifying for drill or a quick check.
- VideoStarterCorbettmaths video: Ratio: express as fractions or %Use it for: Short worked-example video on ratio: express as fractions or % to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: Ratio: given one valueUse it for: Short worked-example video on ratio: given one value to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: ReflectionsUse it for: Short worked-example video on reflections to model the method before practice or for flipped revision.
- Corbettmaths practice questions: ReflectionsUse it for: Free printable graded practice questions (with answers) on reflections for drill or a quick check.
- VideoStarterCorbettmaths video: RotationsUse it for: Short worked-example video on rotations to model the method before practice or for flipped revision.
- Corbettmaths practice questions: RotationsUse it for: Free printable graded practice questions (with answers) on rotations for drill or a quick check.
- 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.
- 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.
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- Corbettmaths practice questions: Rounding: significant figuresUse it for: Free printable graded practice questions (with answers) on rounding: significant figures for drill or a quick check.
- VideoStarterCorbettmaths video: Sampling: stratifiedUse it for: Short worked-example video on sampling: stratified to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Sampling: stratifiedUse it for: Free printable graded practice questions (with answers) on sampling: stratified for drill or a quick check.
- VideoStarterCorbettmaths video: Sampling: randomUse it for: Short worked-example video on sampling: random to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Sampling: randomUse it for: Free printable graded practice questions (with answers) on sampling: random for drill or a quick check.
- VideoStarterCorbettmaths video: Scales and mapsUse it for: Short worked-example video on scales and maps to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Scales and mapsUse it for: Free printable graded practice questions (with answers) on scales and maps for drill or a quick check.
- VideoStarterCorbettmaths video: Sequences: nth termUse it for: Short worked-example video on sequences: nth term to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Sequences: nth termUse it for: Free printable graded practice questions (with answers) on sequences: nth term for drill or a quick check.
- VideoStarterCorbettmaths video: Sequences: patternsUse it for: Short worked-example video on sequences: patterns to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Sequences: patternsUse it for: Free printable graded practice questions (with answers) on sequences: patterns for drill or a quick check.
- VideoStarterCorbettmaths video: Similar shapes: finding sidesUse it for: Short worked-example video on similar shapes: finding sides to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Similar shapes: finding sidesUse it for: Free printable graded practice questions (with answers) on similar shapes: finding sides for drill or a quick check.
- VideoStarterCorbettmaths video: Similar shapes: areaUse it for: Short worked-example video on similar shapes: area to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Similar shapes: areaUse it for: Free printable graded practice questions (with answers) on similar shapes: area for drill or a quick check.
- VideoStarterCorbettmaths video: Similar shapes: volumeUse it for: Short worked-example video on similar shapes: volume to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Simultaneous equations (elimination)Use it for: Short worked-example video on simultaneous equations (elimination) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Simultaneous equations (elimination)Use it for: Free printable graded practice questions (with answers) on simultaneous equations (elimination) for drill or a quick check.
- VideoStarterCorbettmaths video: Simultaneous equations (substitution, both linear)Use it for: Short worked-example video on simultaneous equations (substitution, both linear) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Simultaneous equations (graphical)Use it for: Short worked-example video on simultaneous equations (graphical) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Simultaneous equations (advanced)Use it for: Short worked-example video on simultaneous equations (advanced) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Speed, distance and timeUse it for: Short worked-example video on speed, distance and time to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Speed, distance and timeUse it for: Free printable graded practice questions (with answers) on speed, distance and time for drill or a quick check.
- VideoStarterCorbettmaths video: Standard formUse it for: Short worked-example video on standard form to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Standard formUse it for: Free printable graded practice questions (with answers) on standard form for drill or a quick check.
- VideoStarterCorbettmaths video: Standard form: additionUse it for: Short worked-example video on standard form: addition to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Standard form: multiplicationUse it for: Short worked-example video on standard form: multiplication to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Standard form: divisionUse it for: Short worked-example video on standard form: division to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Surds: intro, rules, simplifyingUse it for: Short worked-example video on surds: intro, rules, simplifying to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Surds: intro, rules, simplifyingUse it for: Free printable graded practice questions (with answers) on surds: intro, rules, simplifying for drill or a quick check.
- VideoStarterCorbettmaths video: Surds: addition/subtractionUse it for: Short worked-example video on surds: addition/subtraction to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Surds: rationalising denominatorsUse it for: Short worked-example video on surds: rationalising denominators to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: Surface area: mixtureUse it for: Short worked-example video on surface area: mixture to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Surface area: mixtureUse it for: Free printable graded practice questions (with answers) on surface area: mixture for drill or a quick check.
- VideoStarterCorbettmaths video: Surface area: cuboidUse it for: Short worked-example video on surface area: cuboid to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Surface area: cuboidUse it for: Free printable graded practice questions (with answers) on surface area: cuboid for drill or a quick check.
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- Corbettmaths practice questions: Surface area: L-shape prismUse it for: Free printable graded practice questions (with answers) on surface area: l-shape prism for drill or a quick check.
- VideoStarterCorbettmaths video: Surface area: other prismsUse it for: Short worked-example video on surface area: other prisms to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Surface area: other prismsUse it for: Free printable graded practice questions (with answers) on surface area: other prisms for drill or a quick check.
- VideoStarterCorbettmaths video: Surface area: sphereUse it for: Short worked-example video on surface area: sphere to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Surface area: sphereUse it for: Free printable graded practice questions (with answers) on surface area: sphere for drill or a quick check.
- VideoStarterCorbettmaths video: Surface area: coneUse it for: Short worked-example video on surface area: cone to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Surface area: coneUse it for: Free printable graded practice questions (with answers) on surface area: cone for drill or a quick check.
- VideoStarterCorbettmaths video: Surface area: cylindersUse it for: Short worked-example video on surface area: cylinders to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Surface area: cylindersUse it for: Free printable graded practice questions (with answers) on surface area: cylinders for drill or a quick check.
- VideoStarterCorbettmaths video: Symmetry: lineUse it for: Short worked-example video on symmetry: line to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Symmetry: lineUse it for: Free printable graded practice questions (with answers) on symmetry: line for drill or a quick check.
- VideoStarterCorbettmaths video: Symmetry: rotationalUse it for: Short worked-example video on symmetry: rotational to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Symmetry: rotationalUse it for: Free printable graded practice questions (with answers) on symmetry: rotational for drill or a quick check.
- VideoStarterCorbettmaths video: Tables: two-way tablesUse it for: Short worked-example video on tables: two-way tables to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Tables: two-way tablesUse it for: Free printable graded practice questions (with answers) on tables: two-way tables for drill or a quick check.
- VideoStarterCorbettmaths video: Time: calculationsUse it for: Short worked-example video on time: calculations to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Time: calculationsUse it for: Free printable graded practice questions (with answers) on time: calculations for drill or a quick check.
- VideoStarterCorbettmaths video: Translations: vectorUse it for: Short worked-example video on translations: vector to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Translations: vectorUse it for: Free printable graded practice questions (with answers) on translations: vector for drill or a quick check.
- VideoStarterCorbettmaths video: Triangles: types ofUse it for: Short worked-example video on triangles: types of to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Triangles: types ofUse it for: Free printable graded practice questions (with answers) on triangles: types of for drill or a quick check.
- VideoStarterCorbettmaths video: Trigonometry introductionUse it for: Short worked-example video on trigonometry introduction to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Trigonometry introductionUse it for: Free printable graded practice questions (with answers) on trigonometry introduction for drill or a quick check.
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- VideoStarterCorbettmaths video: Trigonometry missing anglesUse it for: Short worked-example video on trigonometry missing angles to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Trigonometry: 3DUse it for: Free printable graded practice questions (with answers) on trigonometry: 3d for drill or a quick check.
- VideoStarterCorbettmaths video: Trigonometry: sine rule (sides)Use it for: Short worked-example video on trigonometry: sine rule (sides) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Trigonometry: sine rule (sides)Use it for: Free printable graded practice questions (with answers) on trigonometry: sine rule (sides) for drill or a quick check.
- VideoStarterCorbettmaths video: Trigonometry: sine rule (angles)Use it for: Short worked-example video on trigonometry: sine rule (angles) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: sine rule (ambiguous case)Use it for: Short worked-example video on trigonometry: sine rule (ambiguous case) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: cosine rule (sides)Use it for: Short worked-example video on trigonometry: cosine rule (sides) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: cosine rule (angles)Use it for: Short worked-example video on trigonometry: cosine rule (angles) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: area of a triangleUse it for: Short worked-example video on trigonometry: area of a triangle to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Sine graphUse it for: Short worked-example video on trigonometry: sine graph to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Trigonometry: Sine graphUse it for: Free printable graded practice questions (with answers) on trigonometry: sine graph for drill or a quick check.
- VideoStarterCorbettmaths video: Trigonometry: Cosine graphUse it for: Short worked-example video on trigonometry: cosine graph to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Tangent graphUse it for: Short worked-example video on trigonometry: tangent graph to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Exact valuesUse it for: Short worked-example video on trigonometry: exact values to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Trigonometry: Exact valuesUse it for: Free printable graded practice questions (with answers) on trigonometry: exact values for drill or a quick check.
- VideoStarterCorbettmaths video: Types of data:Qualitative/QuantitativeUse it for: Short worked-example video on types of data:qualitative/quantitative to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Types of data:Qualitative/QuantitativeUse it for: Free printable graded practice questions (with answers) on types of data:qualitative/quantitative for drill or a quick check.
- VideoStarterCorbettmaths video: Types of data: discrete & continuousUse it for: Short worked-example video on types of data: discrete & continuous to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Types of graph: cubicsUse it for: Short worked-example video on types of graph: cubics to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Types of graph: cubicsUse it for: Free printable graded practice questions (with answers) on types of graph: cubics for drill or a quick check.
- VideoStarterCorbettmaths video: Types of graph: exponentialUse it for: Short worked-example video on types of graph: exponential to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Types of graph: exponentialUse it for: Free printable graded practice questions (with answers) on types of graph: exponential for drill or a quick check.
- VideoStarterCorbettmaths video: Types of graph: reciprocalUse it for: Short worked-example video on types of graph: reciprocal to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Types of graph: reciprocalUse it for: Free printable graded practice questions (with answers) on types of graph: reciprocal for drill or a quick check.
- VideoStarterCorbettmaths video: Units: Metric units (length)Use it for: Short worked-example video on units: metric units (length) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Units: Metric units (length)Use it for: Free printable graded practice questions (with answers) on units: metric units (length) for drill or a quick check.
- VideoStarterCorbettmaths video: Units: Metric units (mass)Use it for: Short worked-example video on units: metric units (mass) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Units: Metric units (capacity)Use it for: Short worked-example video on units: metric units (capacity) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Units: converting areasUse it for: Short worked-example video on units: converting areas to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Units: converting areasUse it for: Free printable graded practice questions (with answers) on units: converting areas for drill or a quick check.
- VideoStarterCorbettmaths video: Units: converting volumesUse it for: Short worked-example video on units: converting volumes to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Views: front/side elevation and plan viewUse it for: Short worked-example video on views: front/side elevation and plan view to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Views: front/side elevation and plan viewUse it for: Free printable graded practice questions (with answers) on views: front/side elevation and plan view for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: cube/cuboidUse it for: Short worked-example video on volume: cube/cuboid to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: cube/cuboidUse it for: Free printable graded practice questions (with answers) on volume: cube/cuboid for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: prismUse it for: Short worked-example video on volume: prism to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: prismUse it for: Free printable graded practice questions (with answers) on volume: prism for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: cylinderUse it for: Short worked-example video on volume: cylinder to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: cylinderUse it for: Free printable graded practice questions (with answers) on volume: cylinder for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: L-shape prismUse it for: Short worked-example video on volume: l-shape prism to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: L-shape prismUse it for: Free printable graded practice questions (with answers) on volume: l-shape prism for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: coneUse it for: Short worked-example video on volume: cone to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: coneUse it for: Free printable graded practice questions (with answers) on volume: cone for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: pyramidUse it for: Short worked-example video on volume: pyramid to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: pyramidUse it for: Free printable graded practice questions (with answers) on volume: pyramid for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: FrustumUse it for: Short worked-example video on volume: frustum to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: FrustumUse it for: Free printable graded practice questions (with answers) on volume: frustum for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: sphereUse it for: Short worked-example video on volume: sphere to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: sphereUse it for: Free printable graded practice questions (with answers) on volume: sphere for drill or a quick check.
- VideoStarterCorbettmaths video: Geometric ProofUse it for: Short worked-example video on geometric proof to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Identities, Formula, Equations etcUse it for: Short worked-example video on identities, formula, equations etc to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Identities, Formula, Equations etcUse it for: Free printable graded practice questions (with answers) on identities, formula, equations etc for drill or a quick check.
- Corbettmaths practice questions: Intersecting Chord TheoremUse it for: Free printable graded practice questions (with answers) on intersecting chord theorem for drill or a quick check.
- VideoStarterCorbettmaths video: Composite functionsUse it for: Short worked-example video on composite functions to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Composite functionsUse it for: Free printable graded practice questions (with answers) on composite functions for drill or a quick check.
- VideoStarterCorbettmaths video: Frequency TreesUse it for: Short worked-example video on frequency trees to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Frequency TreesUse it for: Free printable graded practice questions (with answers) on frequency trees for drill or a quick check.
- VideoStarterCorbettmaths video: Set notationUse it for: Short worked-example video on set notation to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Set notationUse it for: Free printable graded practice questions (with answers) on set notation for drill or a quick check.
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- Corbettmaths practice questions: Venn DiagramsUse it for: Free printable graded practice questions (with answers) on venn diagrams for drill or a quick check.
- VideoStarterCorbettmaths video: Function MachinesUse it for: Short worked-example video on function machines to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Function MachinesUse it for: Free printable graded practice questions (with answers) on function machines for drill or a quick check.
- Corbettmaths practice questions: Money: BillsUse it for: Free printable graded practice questions (with answers) on money: bills for drill or a quick check.
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- 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: WagesUse it for: Free printable graded practice questions (with answers) on money: wages for drill or a quick check.
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- Corbettmaths practice questions: Money: TaxUse it for: Free printable graded practice questions (with answers) on money: tax for drill or a quick check.
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- Corbettmaths practice questions: Money: ProfitUse it for: Free printable graded practice questions (with answers) on money: profit for drill or a quick check.
- Variation Theory sequences: Algebraic notationUse it for: Intelligent-practice sequences on algebraic notation where one thing changes at a time; ask students to predict before answering.
- Variation Theory sequences: Writing expressionsUse it for: Intelligent-practice sequences on writing expressions where one thing changes at a time; ask students to predict before answering.
- Variation Theory sequences: Dividing termsUse it for: Intelligent-practice sequences on dividing terms where one thing changes at a time; ask students to predict before answering.
- Variation Theory sequences: Expand single bracketsUse it for: Intelligent-practice sequences on expand single brackets where one thing changes at a time; ask students to predict before answering.
- Variation Theory sequences: Expand double bracketsUse it for: Intelligent-practice sequences on expand double brackets where one thing changes at a time; ask students to predict before answering.
- Interactive toolStarterMathigon: Pythagoras' theorem (interactive course)Use it for: Interactive proof-and-practice chapter to discover and apply Pythagoras' theorem.
- Interactive toolStarterMathigon: Trigonometry (interactive course)Use it for: Introduce sine, cosine and tangent as constant ratios in similar right-angled triangles.
- Interactive toolStarterMathigon: Sine and cosine rulesUse it for: Explore where the sine and cosine rules come from, then apply them.
- Interactive toolStarterMathigon: CongruenceUse it for: Investigate which conditions (SSS, SAS, ASA, RHS) guarantee congruent triangles.
- Mathigon: Properties of trianglesUse it for: Extension: medians, perpendicular bisectors and triangle centres.
- Interactive toolStarterMathigon: Rigid transformationsUse it for: Drag-and-drop translations, reflections and rotations on the plane.
- Interactive toolStarterMathigon: SymmetryUse it for: Find lines of symmetry and rotational symmetry interactively.
- Interactive toolStarterMathigon: Dilations (enlargements)Use it for: Enlarge shapes about a centre and see how scale factor changes lengths.
- Interactive toolStarterMathigon: Spheres, cones and cylindersUse it for: Develop volume and surface area formulas for curved solids.
- Interactive toolStarterMathigon: Tangents, chords and arcsUse it for: Interactive introduction to circle geometry vocabulary and chord/tangent properties.
- Interactive toolStarterMathigon: Bridges of KönigsbergUse it for: Students try the Königsberg puzzle, then learn Eulerian trails and circuits.
- Interactive toolStarterMathigon: Planar graphs and Euler's formulaUse it for: Untangle graphs to make them planar and discover v - e + f = 2.
- Mathigon: Handshakes and datingUse it for: Extension puzzles on counting edges and degree sums.
- Mathigon: Travelling salesman problemUse it for: Extension on shortest routes in networks.
- Mathigon: Map colouringUse it for: Enrichment: four-colour theorem and planar graph faces.
- Mathigon: The Monty Hall problemUse it for: Rich task on a famous probability misconception, with a built-in simulation.
- Mathigon: RandomnessUse it for: Explore what truly random sequences look like.
- Interactive toolStarterMathigon: Divisibility rulesUse it for: Discover why the divisibility tests for 2, 3, 4, 5, 6 and 10 work.
- Interactive toolStarterMathigon: Prime numbersUse it for: Sieve of Eratosthenes and prime factorisation.
- Interactive toolStarterMathigon: Greatest common factorUse it for: Interactive HCF lesson using factor lists and prime factors.
- Interactive toolStarterMathigon: Introduction to sequencesUse it for: Spot and describe number patterns from pictures.
- Mathigon: Figurate numbersUse it for: Extension: triangular, square and pentagonal number patterns.
- Mathigon: Fibonacci numbersUse it for: Enrichment on Fibonacci patterns in nature.
- Mathigon: Pascal's triangleUse it for: Enrichment linking Pascal's triangle to counting outcomes.
- Interactive toolStarterMathigon: QuadrilateralsUse it for: Explore the special quadrilaterals and their hierarchy.
- Interactive toolStarterMathigon: PolygonsUse it for: Discover the interior angle sum of polygons.
- Mathigon: TessellationsUse it for: Enrichment: which regular polygons tessellate, and why.
- Mathigon: Geometric constructionsUse it for: Compass-and-straight-edge constructions as an enrichment task.
- Interactive toolStarterMathigon: Quadratic equationsUse it for: Visual introduction to parabolas and solving quadratics.
- Mathigon: Exponential decay and carbon datingUse it for: Real-world exponential decay context for extension.
- Mathigon: Sierpinski triangleUse it for: Enrichment on self-similar patterns and powers.
- 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.
- PhET Equality Explorer: Two VariablesUse it for: Balance model with two unknowns, a lead-in to simultaneous equations.
- SimulationStarterPhET Number Line: DistanceUse it for: Distance between integers and absolute value on a number line.
- Interactive toolStarterMaths Is Fun: Pythagoras in 3DUse it for: Clear worked explanation of Pythagoras in 3D with questions at the end.
- Interactive toolStarterMaths Is Fun: Interactive unit circleUse it for: Drag a point round the unit circle to see sine, cosine and tangent values.
- Interactive toolStarterMaths Is Fun: Standard deviationUse it for: Plain-English explanation of standard deviation with worked examples and questions.
- Interactive toolStarterMaths Is Fun: Scatter plotsUse it for: Explains scatter plots and correlation with a questions section.
- Interactive toolStarterMaths Is Fun: Stem and leaf plotsUse it for: Short explanation and practice for stem-and-leaf plots.
- Interactive toolStarterMaths Is Fun: Frequency distributionUse it for: Frequency tables explained, with practice questions.
- Interactive toolStarterMaths Is Fun: OutliersUse it for: Shows how an outlier changes mean and median.
- Interactive toolStarterMaths Is Fun: Scientific notationUse it for: Explanation and questions on writing numbers in scientific notation.
- Interactive toolStarterMaths Is Fun: Introduction to logarithmsUse it for: Gentle introduction to logs as 'how many of one number multiply to get another'.
- Interactive toolStarterMaths Is Fun: Working with exponents and logarithmsUse it for: Log laws derived from index laws, with questions.
- Interactive toolStarterMaths Is Fun: Remainder and factor theoremsUse it for: Explains the remainder and factor theorems with examples.
- Interactive toolStarterMaths Is Fun: Polynomial long divisionUse it for: Step-by-step polynomial long division.
- Interactive toolStarterMaths Is Fun: PolynomialsUse it for: Vocabulary of polynomials: degree, terms, coefficients.
- Interactive toolStarterMaths Is Fun: What is a function?Use it for: Functions vs relations explained with mapping diagrams.
- Interactive toolStarterMaths Is Fun: Domain and rangeUse it for: Domain and range explained with examples.
- Interactive toolStarterMaths Is Fun: Equation of a circleUse it for: Derives x² + y² = r² from Pythagoras, with an interactive.
- Interactive toolStarterMaths Is Fun: Graphing quadratic equationsUse it for: How to sketch parabolas from intercepts and vertex.
- Interactive toolStarterMaths Is Fun: Exponential growth and decayUse it for: Real-world exponential growth and decay explained.
- Interactive toolStarterMaths Is Fun: Directly and inversely proportionalUse it for: Direct and inverse variation explained with examples and questions.
- Interactive toolStarterMaths Is Fun: Solving inequalitiesUse it for: Explains flipping the sign when multiplying by a negative.
- Interactive toolStarterMaths Is Fun: Completing the squareUse it for: Visual explanation of completing the square.
- Interactive toolStarterMaths Is Fun: Quadratic equationsUse it for: The quadratic formula and discriminant with an interactive graph.
- Interactive toolStarterMaths Is Fun: ExpandingUse it for: Expanding brackets explained with area diagrams.
- Interactive toolStarterMaths Is Fun: Factoring in algebraUse it for: Factorising by taking out common factors.
- Interactive toolStarterMaths Is Fun: Factoring quadraticsUse it for: Methods for factorising quadratic trinomials.
- Interactive toolStarterMaths Is Fun: Fractional exponentsUse it for: Links fractional indices to roots.
- Interactive toolStarterMaths Is Fun: Negative exponentsUse it for: Pattern-based explanation of negative indices.
- Interactive toolStarterMaths Is Fun: Laws of exponentsUse it for: Index laws summarised with reasons.
- Interactive toolStarterMaths Is Fun: Divisibility rulesUse it for: Divisibility tests with examples.
- Interactive toolStarterMaths Is Fun: Irrational numbersUse it for: What makes a number irrational, with examples.
- Interactive toolStarterMaths Is Fun: Converting fractions to decimalsUse it for: Methods for converting fractions to decimals.
- Interactive toolStarterMaths Is Fun: Converting decimals to fractionsUse it for: Steps to convert decimals to fractions.
- Interactive toolStarterMaths Is Fun: Fraction number lineUse it for: Interactive number line showing fractions and decimals.
- Interactive toolStarterMaths Is Fun: Exterior angles of polygonsUse it for: Shows the exterior angles always add to 360°.
- Interactive toolStarterMaths Is Fun: Similar trianglesUse it for: Tests for similar triangles with examples.
- Interactive toolStarterMaths Is Fun: Congruent trianglesUse it for: The congruence tests (SSS, SAS, ASA, AAS, RHS) explained.
- Interactive toolStarterMaths Is Fun: Sectors and segmentsUse it for: Area of sectors and arc length explained.
- Interactive toolStarterMaths Is Fun: TrapeziumUse it for: Interactive trapezium with area formula.
- Interactive toolStarterMaths Is Fun: KiteUse it for: Interactive kite with area from diagonals.
- Interactive toolStarterMaths Is Fun: RhombusUse it for: Interactive rhombus showing properties and area.
- Interactive toolStarterMaths Is Fun: PrismsUse it for: Prisms and their uniform cross-sections.
- Interactive toolStarterMaths Is Fun: CylinderUse it for: Cylinder volume and surface area with a net.
- Interactive toolStarterMaths Is Fun: ConeUse it for: Cone volume and surface area.
- Interactive toolStarterMaths Is Fun: SphereUse it for: Sphere volume and surface area.
- Interactive toolStarterMaths Is Fun: PyramidsUse it for: Pyramid features, volume and surface area.
- Interactive toolStarterMaths Is Fun: SOHCAHTOAUse it for: Trig ratios with an interactive triangle.
- Interactive toolStarterMaths Is Fun: The law of sinesUse it for: Sine rule with examples.
- Interactive toolStarterMaths Is Fun: The law of cosinesUse it for: Cosine rule with examples.
- Interactive toolStarterMaths Is Fun: Area of a triangle (½ab sin C)Use it for: Area rule for non-right triangles.
- Interactive toolStarterMaths Is Fun: Midpoint of a line segmentUse it for: Interactive midpoint finder.
- Interactive toolStarterMaths Is Fun: Gradient (slope)Use it for: Interactive line showing rise over run.
- Interactive toolStarterMaths Is Fun: Parallel and perpendicular linesUse it for: Gradients of parallel and perpendicular lines.
- Interactive toolStarterMaths Is Fun: Point-slope formUse it for: Point-gradient form of a line explained.
- Interactive toolStarterMaths Is Fun: Independent eventsUse it for: Independent events and tree diagrams.
- Interactive toolStarterMaths Is Fun: Dependent events (conditional probability)Use it for: Dependent events with marbles examples.
- Interactive toolStarterMaths Is Fun: Mutually exclusive eventsUse it for: Mutually exclusive vs non-mutually exclusive with Venn diagrams.
- Interactive toolStarterMaths Is Fun: Tree diagramsUse it for: Tree diagrams for multistage experiments.
- Interactive toolStarterMaths Is Fun: Venn diagramsUse it for: Set language and Venn diagrams.
- Interactive toolStarterMaths Is Fun: Complement of an eventUse it for: P(not A) = 1 - P(A) explained.
- Interactive toolStarterMaths Is Fun: Relative frequencyUse it for: Relative frequency from repeated trials.
- Interactive toolStarterMaths Is Fun: Mean, median and modeUse it for: Measures of centre with examples.
- Interactive toolStarterMaths Is Fun: SkewnessUse it for: Symmetric and skewed distributions.
- Interactive toolStarterMaths Is Fun: SamplingUse it for: Samples vs populations and sampling methods.
- Interactive toolStarterMaths Is Fun: HistogramsUse it for: Histograms explained.
- Interactive toolStarterMaths Is Fun: Dot plotsUse it for: Dot plots explained.
- Interactive toolStarterMaths Is Fun: Metric area unitsUse it for: Converting mm², cm², m², ha and km².
- Interactive toolStarterMaths Is Fun: Metric volumeUse it for: Volume and capacity unit conversions.
- Interactive toolStarterMaths Is Fun: Metric lengthUse it for: Metric length conversions.
- Interactive toolStarterMaths Is Fun: Metric massUse it for: Metric mass conversions.
- Interactive toolStarterMaths Is Fun: TimeUse it for: Units of time and 12/24-hour time.
- Interactive toolStarterMaths Is Fun: RatiosUse it for: What ratios are and how to simplify them.
- Interactive toolStarterMaths Is Fun: ProportionsUse it for: Solving proportion problems.
- Interactive toolStarterMaths Is Fun: Percentage changeUse it for: Calculating percentage increase and decrease.
- Interactive toolStarterMaths Is Fun: Order of operations (BODMAS)Use it for: Order of operations with examples.
- Interactive toolStarterMaths Is Fun: Square rootsUse it for: Squares and square roots explained.
- Interactive toolStarterMaths Is Fun: Cube rootsUse it for: Cubes and cube roots explained.
- Interactive toolStarterMaths Is Fun: ExponentsUse it for: Base, power and index notation.
- Interactive toolStarterMaths Is Fun: Introduction to algebraUse it for: Gentle introduction to pronumerals.
- Interactive toolStarterMaths Is Fun: Like termsUse it for: Identifying and combining like terms.
- Interactive toolStarterMaths Is Fun: SubstitutionUse it for: Substituting values into expressions.
- Interactive toolStarterMaths Is Fun: Solving equationsUse it for: Solving linear equations with checks.
- Interactive toolStarterMaths Is Fun: Vertically opposite anglesUse it for: Interactive vertically opposite angles.
- Interactive toolStarterMaths Is Fun: Complementary anglesUse it for: Interactive complementary angles.
- Interactive toolStarterMaths Is Fun: Supplementary anglesUse it for: Interactive supplementary angles.
- Interactive toolStarterMaths Is Fun: Adjacent anglesUse it for: Adjacent angles defined.
- Interactive toolStarterMaths Is Fun: CircleUse it for: Parts of a circle and circumference.
- Interactive toolStarterMaths Is Fun: Area of plane shapesUse it for: Area formulas for common shapes.
- Interactive toolStarterMaths Is Fun: PerimeterUse it for: Perimeter of shapes.
- Interactive toolStarterMaths Is Fun: Pythagoras' theoremUse it for: Explanation with an interactive proof.
- Interactive toolStarterMaths Is Fun: SequencesUse it for: Number patterns and rules.
- Interactive toolStarterMathsbot: Double-sided countersUse it for: Zero-pair counters for modelling integer operations.
- Interactive toolStarterMathsbot: Fraction wallUse it for: Fraction wall for equivalence and comparison.
- Interactive toolStarterMathsbot: Do Now (retrieval starters)Use it for: Auto-generated mixed retrieval starters; pick topics to revisit.
- Estimation 180Use it for: Daily estimation challenges to build number sense and reasoning about approximations.
- Visual Patterns (Fawn Nguyen)Use it for: Hundreds of growing picture patterns; students find the rule and predict step 43.
- Open Middle: problem collectionUse it for: Problems with one answer but many paths; use as low-floor high-ceiling extensions.
- NRICH: Tilted SquaresUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Garden ShedUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Perimeter ExpressionsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Number PyramidsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Crossed EndsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Algebra MatchUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Pair ProductsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Why 24?Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Plus MinusUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: What's Possible?Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Multiplication ArithmagonsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: ArithmagonsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Cubes Within CubesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Seven SquaresUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Charlie's Delightful MachineUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: How Old Am I?Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: MatchlessUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Eight Hidden SquaresUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Parallel LinesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Perpendicular LinesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Surprising TransformationsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Translating LinesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Parabolic PatternsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Quadratic PatternsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Power CountdownUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Rational RootsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Irrational ArithmagonsUse 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: Antiques RoadshowUse 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.
- NRICH: Tiny NinesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Mixing PaintsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Mixing LemonadeUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: How Far Does It Move?Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Which Solids Can We Make?Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: CuboidsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Changing Areas, Changing PerimetersUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Isosceles TrianglesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Blue and WhiteUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: SalinonUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: ArcletsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Semi-DetachedUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Circumference AnglesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Cyclic QuadrilateralsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Polygon PicturesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Shapely PairsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Parallel UniverseUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Same LengthUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Trig RepsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Sine ProblemUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Round and Round and RoundUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Same HeightUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Statement SnapUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Same Number!Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Chances AreUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: M, M and MUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Box Plot MatchUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: EulerianUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Network TreesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Consecutive NumbersUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Efficient CuttingUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Cuboid ChallengeUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: ImmersionUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: How Many Solutions?Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Polynomial RelationsUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- Open Middle: Order of Operations 2Use it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Order of Operations 4Use it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Completing the SquareUse it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Quadratics and Number of SolutionsUse it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Factoring using Greatest Common FactorUse it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Composite VolumeUse it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Equivalent ExponentsUse it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Finding Equivalent Ratios 2Use it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Solving Quadratic Functions using the Square Root MethodUse it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- Open Middle: Volume of Rectangular PrismsUse it for: Fill-the-boxes puzzle using digits 0-9 once; many paths to an optimal answer, good extension.
- WorksheetDrillKuta free worksheet: Decimal addition with diagramsUse it for: Printable skills-practice sheet with answer key on decimal addition with diagrams; good for drill or homework.
- WorksheetDrillKuta free worksheet: Decimal additionUse it for: Printable skills-practice sheet with answer key on decimal addition; good for drill or homework.
- WorksheetDrillKuta free worksheet: Decimal subtractionUse it for: Printable skills-practice sheet with answer key on decimal subtraction; 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: Long divisionUse it for: Printable skills-practice sheet with answer key on long division; good for drill or homework.
- WorksheetDrillKuta free worksheet: Division: partial quotients strategyUse it for: Printable skills-practice sheet with answer key on division: partial quotients strategy; good for drill or homework.
- WorksheetDrillKuta free worksheet: Dividing whole numbers that result in decimalsUse it for: Printable skills-practice sheet with answer key on dividing whole numbers that result in decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Factoring whole numbersUse it for: Printable skills-practice sheet with answer key on factoring whole numbers; 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: 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: Numbers on a number line (incl. negatives)Use it for: Printable skills-practice sheet with answer key on numbers on a number line (incl. negatives); good for drill or homework.
- WorksheetDrillKuta free worksheet: Comparing integersUse it for: Printable skills-practice sheet with answer key on comparing integers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Ordering integersUse it for: Printable skills-practice sheet with answer key on ordering integers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Number line word problemsUse it for: Printable skills-practice sheet with answer key on number line word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Points on the coordinate planeUse it for: Printable skills-practice sheet with answer key on points on the coordinate plane; good for drill or homework.
- WorksheetDrillKuta free worksheet: Coordinate plane word problemsUse it for: Printable skills-practice sheet with answer key on coordinate plane word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Order of operationsUse it for: Printable skills-practice sheet with answer key on order of operations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Distributive property with area diagramsUse it for: Printable skills-practice sheet with answer key on distributive property with area diagrams; good for drill or homework.
- WorksheetDrillKuta free worksheet: Numeric expressions with exponentsUse it for: Printable skills-practice sheet with answer key on numeric expressions with exponents; good for drill or homework.
- WorksheetDrillKuta free worksheet: Introduction to percentsUse it for: Printable skills-practice sheet with answer key on introduction to percents; good for drill or homework.
- WorksheetDrillKuta free worksheet: Relating percents, fractions and decimalsUse it for: Printable skills-practice sheet with answer key on relating percents, fractions and decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Finding percents with equivalent fractionsUse it for: Printable skills-practice sheet with answer key on finding percents with equivalent fractions; good for drill or homework.
- WorksheetDrillKuta free worksheet: Introduction to ratiosUse it for: Printable skills-practice sheet with answer key on introduction to ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Equivalent ratiosUse it for: Printable skills-practice sheet with answer key on equivalent ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Part-part-whole ratiosUse it for: Printable skills-practice sheet with answer key on part-part-whole ratios; good for drill or homework.
- WorksheetDrillKuta free worksheet: Unit ratesUse it for: Printable skills-practice sheet with answer key on unit rates; good for drill or homework.
- WorksheetDrillKuta free worksheet: Comparing rates (best buys)Use it for: Printable skills-practice sheet with answer key on comparing rates (best buys); 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: Solutions to equationsUse it for: Printable skills-practice sheet with answer key on solutions to equations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Equations with tape diagramsUse it for: Printable skills-practice sheet with answer key on equations with tape diagrams; good for drill or homework.
- WorksheetDrillKuta free worksheet: Equations word problemsUse it for: Printable skills-practice sheet with answer key on equations word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Evaluating algebraic expressionsUse it for: Printable skills-practice sheet with answer key on evaluating algebraic expressions; good for drill or homework.
- WorksheetDrillKuta free worksheet: Combining like termsUse it for: Printable skills-practice sheet with answer key on combining like terms; good for drill or homework.
- WorksheetDrillKuta free worksheet: Distributive property with area diagramsUse it for: Printable skills-practice sheet with answer key on distributive property with area diagrams; good for drill or homework.
- WorksheetDrillKuta free worksheet: Understanding the parallelogram area formulaUse it for: Printable skills-practice sheet with answer key on understanding the parallelogram area formula; good for drill or homework.
- WorksheetDrillKuta free worksheet: Understanding the triangle area formulaUse it for: Printable skills-practice sheet with answer key on understanding the triangle area formula; good for drill or homework.
- WorksheetDrillKuta free worksheet: Area of trapezoidsUse it for: Printable skills-practice sheet with answer key on area of trapezoids; good for drill or homework.
- WorksheetDrillKuta free worksheet: Composite areas and shaded regionsUse it for: Printable skills-practice sheet with answer key on composite areas and shaded regions; good for drill or homework.
- WorksheetDrillKuta free worksheet: Classifying and naming polyhedraUse it for: Printable skills-practice sheet with answer key on classifying and naming polyhedra; good for drill or homework.
- WorksheetDrillKuta free worksheet: Identifying invalid netsUse it for: Printable skills-practice sheet with answer key on identifying invalid nets; good for drill or homework.
- WorksheetDrillKuta free worksheet: Isometric sketchingUse it for: Printable skills-practice sheet with answer key on isometric sketching; good for drill or homework.
- WorksheetDrillKuta free worksheet: Volume using isometric drawingsUse it for: Printable skills-practice sheet with answer key on volume using isometric drawings; good for drill or homework.
- WorksheetDrillKuta free worksheet: Volume and surface area of a cubeUse it for: Printable skills-practice sheet with answer key on volume and surface area of a cube; good for drill or homework.
- WorksheetDrillKuta free worksheet: Interpreting dot plotsUse it for: Printable skills-practice sheet with answer key on interpreting dot plots; good for drill or homework.
- WorksheetDrillKuta free worksheet: Drawing histogramsUse it for: Printable skills-practice sheet with answer key on drawing histograms; good for drill or homework.
- WorksheetDrillKuta free worksheet: Centre and spreadUse it for: Printable skills-practice sheet with answer key on centre and spread; good for drill or homework.
- VideoStarterEddie Woo (WooTube): Angle Relationships playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on angle relationships; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Applications of Measurement playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on applications of measurement; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Algebraic Techniques playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on algebraic techniques; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Equations playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on equations; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Financial Mathematics playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on financial mathematics; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Indices playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on indices; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Linear Relationships playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on linear relationships; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Polynomials playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on polynomials; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Probability playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on probability; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Properties of Geometrical Figures playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on properties of geometrical figures; play a clip to model a method or for revision.
- VideoStarterEddie Woo (WooTube): Basic Ratios & Rates playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on ratios & rates; play a clip to model a method or for revision.
Mathematics Extension 1 11–12 – Year 11 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.