Enrichment
Rich tasks and open investigations that stretch thinking. 119 resources. Combine with stage and type filters →
Stage 3
- NRICH: Factors and Multiples GameUse it for: Two-player strategy game chaining factors and multiples.
- NRICH: Got ItUse it for: Strategy game about adding to a target.
- GameEnrichmentNRICH: Odds and EvensUse it for: Decide if a chance game is fair.
- Interactive toolEnrichmentGeoGebra 3D CalculatorUse it for: Rotate solids, view cross-sections and unfold nets.
- Mathigon PolypadUse it for: Virtual manipulatives: fraction bars, algebra tiles, cubes and polygons.
- Interactive toolEnrichmentMathigon: Transformations and SymmetryUse it for: Interactive lessons on reflections, rotations and symmetry.
- Interactive toolEnrichmentNRICH: Same Length TrainsUse it for: Find common multiples with Cuisenaire-style trains.
- NRICH: Shifting Times TablesUse it for: Spot the rule for shifted times-table sequences.
- Interactive toolEnrichmentNRICH: StarsUse it for: Investigate star polygons formed by stepping around points.
- Interactive toolEnrichmentNRICH: Which Spinners?Use it for: Match spinners to their results using expected vs observed frequency.
- PhET Plinko ProbabilityUse it for: Compare observed and expected outcomes over many trials.
- WorksheetEnrichmentNRICH: Twenty Divided Into SixUse it for: Reasoning with division and remainders.
Stage 4
- NRICH: Factors and Multiples GameUse it for: Two-player strategy game chaining factors and multiples.
- Interactive toolEnrichmentDesmos GeometryUse it for: Construct and drag figures to test angle conjectures.
- Interactive toolEnrichmentGeoGebra 3D CalculatorUse it for: Rotate solids, view cross-sections and unfold nets.
- Mathigon PolypadUse it for: Virtual manipulatives: fraction bars, algebra tiles, cubes and polygons.
- Interactive toolEnrichmentMathigon: Circles and PiUse it for: Discover π and circle area interactively.
- Mathigon: Fibonacci numbersUse it for: Enrichment on Fibonacci patterns in nature.
- Mathigon: Figurate numbersUse it for: Extension: triangular, square and pentagonal number patterns.
- Interactive toolEnrichmentMathigon: Probability courseUse it for: Interactive chapter on probability with experiments.
- Mathigon: Properties of trianglesUse it for: Extension: medians, perpendicular bisectors and triangle centres.
- Mathigon: Sierpinski triangleUse it for: Enrichment on self-similar patterns and powers.
- Interactive toolEnrichmentMathigon: Triangles and TrigonometryUse it for: Interactive lessons building to Pythagoras and trig ratios.
- NRICH: Shifting Times TablesUse it for: Spot the rule for shifted times-table sequences.
- Interactive toolEnrichmentNRICH: Which Spinners?Use it for: Match spinners to their results using expected vs observed frequency.
- PhET Center and VariabilityUse it for: Kick a soccer ball to build datasets; see how outliers shift mean, median, range and IQR.
- PhET Equality ExplorerUse it for: Use the balance-scale model to justify each step when solving linear equations.
- PhET Function BuilderUse it for: Input-output machines for writing rules and functions.
- PhET Plinko ProbabilityUse it for: Compare observed and expected outcomes over many trials.
- NRICH: Algebra MatchUse 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: ArcletsUse 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: Blue and WhiteUse 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: 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: Consecutive NumbersUse 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: Cubes Within CubesUse 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: Efficient CuttingUse 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: Garden ShedUse 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: 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: Isosceles TrianglesUse 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: Mixing LemonadeUse 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: Multiplication ArithmagonsUse 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: Parallel UniverseUse 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: Perimeter ExpressionsUse 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: RepetitiouslyUse 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: Same Number!Use 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: Seven SquaresUse 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: Statement SnapUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- NRICH: Tilted SquaresUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- 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: 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: 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: 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: 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.
Stage 5
- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
- Interactive toolEnrichmentDesmos GeometryUse it for: Construct and drag figures to test angle conjectures.
- Interactive toolEnrichmentGeoGebra 3D CalculatorUse it for: Rotate solids, view cross-sections and unfold nets.
- Mathigon: Exponential decay and carbon datingUse it for: Real-world exponential decay context for extension.
- Mathigon: Geometric constructionsUse it for: Compass-and-straight-edge constructions as an enrichment task.
- Interactive toolEnrichmentMathigon: Graph TheoryUse it for: Bridges of Königsberg, Euler paths and planar graphs, interactively.
- Mathigon: Handshakes and datingUse it for: Extension puzzles on counting edges and degree sums.
- Mathigon: Map colouringUse it for: Enrichment: four-colour theorem and planar graph faces.
- Mathigon: Pascal's triangleUse it for: Enrichment linking Pascal's triangle to counting outcomes.
- Interactive toolEnrichmentMathigon: Probability courseUse it for: Interactive chapter on probability with experiments.
- Mathigon: Properties of trianglesUse it for: Extension: medians, perpendicular bisectors and triangle centres.
- Mathigon: RandomnessUse it for: Explore what truly random sequences look like.
- Mathigon: Sierpinski triangleUse it for: Enrichment on self-similar patterns and powers.
- Mathigon: TessellationsUse it for: Enrichment: which regular polygons tessellate, and why.
- Mathigon: The Monty Hall problemUse it for: Rich task on a famous probability misconception, with a built-in simulation.
- Interactive toolEnrichmentMathigon: Transformations and SymmetryUse it for: Interactive lessons on reflections, rotations and symmetry.
- Interactive toolEnrichmentMathigon: Triangles and TrigonometryUse it for: Interactive lessons building to Pythagoras and trig ratios.
- PhET Center and VariabilityUse it for: Kick a soccer ball to build datasets; see how outliers shift mean, median, range and IQR.
- SimulationEnrichmentPhET Curve FittingUse it for: Compare lines of best fit on scatter data.
- PhET Equality ExplorerUse it for: Use the balance-scale model to justify each step when solving linear equations.
- PhET Equality Explorer: Two VariablesUse it for: Balance model with two unknowns, a lead-in to simultaneous equations.
- PhET Function BuilderUse it for: Input-output machines for writing rules and functions.
- PhET Graphing QuadraticsUse it for: See how coefficients change a parabola and locate the vertex.
- PhET Plinko ProbabilityUse it for: Compare observed and expected outcomes over many trials.
- PhET Trig TourUse it for: Connect the unit circle to sin, cos and tan graphs.
- SimulationEnrichmentPhET Vector AdditionUse it for: Extension: resultant displacement links to bearings problems.
- WorksheetEnrichmentNRICH: Cinema ProblemUse it for: Rich task leading to simultaneous equations reasoning.
- NRICH: ArithmagonsUse 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: Chances AreUse 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: Circumference AnglesUse 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: CuboidsUse 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: Efficient CuttingUse 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: EulerianUse 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: ImmersionUse 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: MatchlessUse 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: Pair ProductsUse 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: 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: Plus MinusUse 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: Polynomial RelationsUse 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: Rational RootsUse 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: 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: Same LengthUse 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: Surprising TransformationsUse 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: Translating LinesUse 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: 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: 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: Why 24?Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- 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: Composite VolumeUse 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.
Mathematics Standard 11–12 – Year 11
- Interactive toolEnrichmentMathigon: Graph TheoryUse it for: Bridges of Königsberg, Euler paths and planar graphs, interactively.
- Mathigon: Travelling salesman problemUse it for: Extension on shortest routes in networks.
- NRICH: Network TreesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
Mathematics Advanced 11–12 – Year 11
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Mathematics Advanced 11–12 – Year 12
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Mathematics Extension 1 11–12 – Year 11
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.