Mathematics Advanced 11–12 – Year 12
Mathematics Advanced 11–12 (2024) · 7 focus areas
Applications of calculus
MAV-12-0625 dot points · 2 resources · 1 with games/interactives
Differential calculus
MAV-12-0413 dot points · 2 resources · 1 with games/interactives
Financial mathematics
MAV-12-087 dot points · 0 resources
Further graph transformations and modelling
MAV-12-01MAV-12-027 dot points · 2 resources · 2 with games/interactives
Integral calculus
MAV-12-0546 dot points · 2 resources · 2 with games/interactives
Random variables
MAV-12-0740 dot points · 2 resources · 2 with games/interactives
Sequences and series
MAV-12-0320 dot points · 0 resources
Planning resources
- Unit/PlanningStage 4 Unit 1 – making predictions (sample unit of learning)
- 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)
- Unit/PlanningStage 4 Unit 6 – triangles and quadrilaterals (sample unit of learning)
- Unit/PlanningStage 4 Unit 7 – length and area (sample unit of learning)
- Unit/PlanningStage 4 Unit 8 – constructing prisms (sample unit of learning)
- Unit/PlanningStage 4 Unit 9 – shape and skew (sample unit of learning)
- Unit/PlanningStage 4 Unit 10 – investigating triangles (sample unit of learning)
- Unit/PlanningStage 4 Unit 11 – geometrical relationships (sample unit of learning)
- Unit/PlanningStage 4 Unit 12 – further multiplicative thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 13 – ratio and rates (sample unit of learning)
- Unit/PlanningStage 4 Unit 14 – analysing patterns (sample unit of learning)
- Unit/PlanningStage 4 Unit 15 – exploring circles (sample unit of learning)
- Unit/PlanningStage 4 Unit 16 – constructing cylinders (sample unit of learning)
- Unit/PlanningStage 5 Unit 1 – geometric representations (sample unit of learning)
- Unit/PlanningStage 5 Unit 2 – working with triangles (sample unit of learning)
- Unit/PlanningStage 5 Unit 3 – prisms and cylinders (sample unit of learning)
- Unit/PlanningStage 5 Unit 4 – index laws (sample unit of learning)
- Unit/PlanningStage 5 Unit 5 – financial mathematics (sample unit of learning)
- Unit/PlanningStage 5 Unit 6 – constant rates of change (sample unit of learning)
- Unit/PlanningStage 5 Unit 7 – making predictions (sample unit of learning)
- Unit/PlanningStage 5 Unit 8 – making decisions (sample unit of learning)
- Unit/PlanningStage 5 Unit 9 – surveying (sample unit of learning)
- Unit/PlanningStage 5 Unit 10 – expressions and equations (sample unit of learning)
- Unit/PlanningStage 5 Unit 11 – applying exponentials (sample unit of learning)
- Unit/PlanningStage 5 Unit 12 – investigating parabolas (sample unit of learning)
- Unit/PlanningStage 5 Unit 13 – bivariate relationships (sample unit of learning)
- Unit/PlanningStage 5 Year 10 – maths in science elective (sample unit of learning)
- Unit/PlanningStage 5 Year 10 – the unit circle elective (sample unit of learning)
- Unit/PlanningTeaching advice – Stage 2: additive relations A strategies and vocabulary
- Unit/PlanningSample unit – Stage 4: fractions and decimals
- Unit/PlanningAnnotated work samples – Early Stage 1, activity 1: combining and separating quantities
- Unit/PlanningTeaching advice – Stage 2: representing numbers using place value B
- 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
- Unit/PlanningSample unit – Stage 5: data analysis C
- Unit/PlanningSample unit – Stage 5: introduction to networks
- Unit/PlanningAnnotated work samples – Stage 1, activity 2: combining and separating quantities
- Unit/PlanningTeaching advice – Stage 2: partitioned fractions A language and vocabulary
- Unit/PlanningAnnotated work samples – Stage 3, activity 2: additive relations
- Unit/PlanningAnnotated work samples – Stage 3, activity 1: additive relations
- Unit/PlanningMathematics Advanced – sample scope and sequence
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 1 – getting healthy (9 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 2 – show me the money (19 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 3 – making things (13 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 4 – driving safely (11 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 5 – going places (9 lessons)
- Unit/PlanningMathematics Standard (2024) Year 12 Unit 1 – correlation (9 lessons; Standard 1 differentiation included)
- Unit/PlanningMathematics Standard (2024) Year 12 Unit 2 – managing events (part 1)
- PhET Area BuilderUse it for: Build rectangles with the same area but different perimeters (and vice versa) before formalising A = l × w.
- PhET Fractions: IntroUse it for: Represent and compare fractions with pies, bars and number lines in a discovery lesson.
- PhET Fractions: EqualityUse it for: Match equivalent fractions in the built-in game levels to practise equivalence.
- PhET Fraction MatcherUse it for: Quick matching game pairing fraction symbols with diagrams, including mixed numbers.
- SimulationDrillPhET Fractions: Mixed NumbersUse it for: Convert between improper fractions and mixed numbers with visual models.
- SimulationStarterPhET Number Line: IntegersUse it for: Place, compare and order integers on a number line in temperature and bank-account contexts.
- SimulationStarterPhET Number Line: OperationsUse it for: Model adding and subtracting integers as moves on a number line.
- PhET Equality ExplorerUse it for: Use the balance-scale model to justify each step when solving linear equations.
- SimulationStarterPhET Equality Explorer: BasicsUse it for: Introduce equations as balanced scales before any algebra.
- PhET Expression ExchangeUse it for: Collect like terms by dragging coins/variables together; game screens for practice.
- PhET Area Model AlgebraUse it for: Show expanding brackets and binomial products as rectangle areas.
- PhET Area Model MultiplicationUse it for: Model 2-digit multiplication with the area model and partial products.
- SimulationDrillPhET Area Model DecimalsUse it for: Visualise multiplying decimals with an area model.
- PhET ArithmeticUse it for: Times-tables and division fact fluency game for warm-ups.
- PhET Graphing LinesUse it for: Explore gradient and intercept; the Line Game screen gives quick practice.
- SimulationDrillPhET Graphing Slope-InterceptUse it for: Graph y = mx + c by dragging slope and intercept.
- 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.
- SimulationStarterPhET Mean: Share and BalanceUse it for: Develop the mean as fair share and balance point.
- PhET Center and VariabilityUse it for: Kick a soccer ball to build datasets; see how outliers shift mean, median, range and IQR.
- SimulationStarterPhET Proportion PlaygroundUse it for: Explore equivalent ratios with paint mixtures and necklaces.
- PhET Unit RatesUse it for: Use double number lines for unit price and best-buy problems.
- SimulationStarterPhET Ratio and ProportionUse it for: Feel proportional relationships by moving two hands at a fixed ratio.
- SimulationEnrichmentPhET Vector AdditionUse it for: Extension: resultant displacement links to bearings problems.
- PhET Trig TourUse it for: Connect the unit circle to sin, cos and tan graphs.
- SimulationEnrichmentPhET Curve FittingUse it for: Compare lines of best fit on scatter data.
- SimulationStarterPhET Least-Squares RegressionUse it for: Draw a line of best fit by eye and compare with the calculated one.
- PhET Function BuilderUse it for: Input-output machines for writing rules and functions.
- PhET Build a FractionUse it for: Build target fractions from pieces in game levels.
- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentDesmos GeometryUse it for: Construct and drag figures to test angle conjectures.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- 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: Probability courseUse it for: Interactive chapter on probability with experiments.
- Interactive toolEnrichmentMathigon: Graph TheoryUse it for: Bridges of Königsberg, Euler paths and planar graphs, interactively.
- Interactive toolEnrichmentMathigon: Circles and PiUse it for: Discover π and circle area interactively.
- 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.
- 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.
- GameStarterNRICH: Nim-7Use it for: Simple strategy game for reasoning starters.
- Interactive toolEnrichmentNRICH: StarsUse it for: Investigate star polygons formed by stepping around points.
- NRICH: Shifting Times TablesUse it for: Spot the rule for shifted times-table sequences.
- Interactive toolStarterNRICH: Interactive Number PatternsUse it for: Describe and extend number patterns, then write the rule.
- WorksheetEnrichmentNRICH: Cinema ProblemUse it for: Rich task leading to simultaneous equations reasoning.
- Interactive toolEnrichmentNRICH: Same Length TrainsUse it for: Find common multiples with Cuisenaire-style trains.
- Interactive toolEnrichmentNRICH: Which Spinners?Use it for: Match spinners to their results using expected vs observed frequency.
- GameEnrichmentNRICH: Odds and EvensUse it for: Decide if a chance game is fair.
- WorksheetEnrichmentNRICH: Twenty Divided Into SixUse it for: Reasoning with division and remainders.
- Transum: TablesmasterUse it for: Times-table fluency practice with levels.
- WorksheetDrillTransum: TrigonometryUse it for: Levelled right-angled trig practice.
- WorksheetDrillTransum: Dr Tim's Indices ChallengeUse it for: Index laws practice by level.
- Transum: CoordinatesUse it for: Plot points in all four quadrants.
- WorksheetDrillTransum: Ratios vs FractionsUse it for: Self-marking practice relating ratios to fractions of the whole.
- WorksheetDrillTransum: Area and PerimeterUse it for: Levelled area practice.
- GameDrillMath Playground: Thinking BlocksUse it for: Bar-model word problem practice.
- GameDrillMath Playground: Thinking Blocks RatioUse it for: Model ratio word problems with bar models.
- GameDrillMath Playground: Thinking Blocks FractionsUse it for: Fraction-of-a-quantity word problems with bar models.
- Math Playground: Algebraic ReasoningUse it for: Balance puzzles for unknown values.
- Interactive toolStarterMathsbot: ManipulativesUse it for: Virtual manipulatives incl. algebra tiles, two-colour counters, fraction walls.
- Interactive toolStarterMathsbot: Algebra TilesUse it for: Algebra tiles for expanding and factorising.
- Interactive toolStarterMathsbot: Two-colour countersUse it for: Zero-pairs model for integer operations.
- Interactive toolStarterGeoboard (Math Learning Center)Use it for: Make triangles and parallelograms to compare areas.
- Interactive toolStarterFractions app (Math Learning Center)Use it for: Bar models for comparing and adding fractions.
- Interactive toolStarterNumber Line (Math Learning Center)Use it for: Place decimals, fractions and integers on an open number line.
- Interactive toolDrillDesmos ScientificUse it for: Free scientific calculator.
- Mathsisfun: Probability SpinnerUse it for: Customisable spinner that tallies results for many spins.
- Interactive toolDrillMathsisfun: Data graphsUse it for: Make bar, line and pie graphs from typed data.
- Interactive toolStarterMathsisfun: QuadrilateralsUse it for: Draggable quadrilateral properties.
- Interactive toolStarterMathsisfun: TrianglesUse it for: Triangle types with interactive diagrams.
- Interactive toolDrillMathsisfun: ProtractorUse it for: Practise measuring angles with an on-screen protractor.
- Interactive toolStarterMathsisfun: Parallel lines and pairs of anglesUse it for: Interactive transversal showing angle pairs.
- Interactive toolStarterMathsisfun: Box and whisker plotUse it for: Quartiles and IQR explained with interactive check.
- Interactive toolStarterMathsisfun: Equation of a Straight LineUse it for: Adjust m and b to see the line change.
- Interactive toolStarterMathsisfun: Compound interestUse it for: Compound vs simple interest with tables and a calculator.
- Interactive toolStarterMathsisfun: Polyhedron modelsUse it for: Rotatable 3D prisms/pyramids with printable nets.
- Interactive toolStarterMathsisfun: Prime factorisationUse it for: Factor trees and prime factorisation tool.
- Mathsisfun: Cartesian coordinatesUse it for: Drag a point to read coordinates in all 4 quadrants.
- Interactive toolStarterMathsisfun: Distance between 2 pointsUse it for: Distance via Pythagoras with interactive graph.
- Interactive toolStarterMathsisfun: Gradient (slope)Use it for: Rise over run with interactive line.
- Interactive toolStarterMathsisfun: Sine, cosine, tangentUse it for: Drag a triangle to see ratios stay constant.
- Interactive toolStarterMathsisfun: Interior angles of polygonsUse it for: Interior/exterior angle sums, interactive.
- Interactive toolStarterMathsisfun: Circle area by sectorsUse it for: Rearrange sectors to see why A = πr².
- Interactive toolStarterMathsisfun: Euler paths (Konigsberg)Use it for: Seven Bridges of Königsberg puzzle.
- Interactive toolDrillMathsisfun: Function grapherUse it for: Plot functions quickly.
- Interactive toolStarterMathsisfun: Circle theoremsUse it for: Interactive inscribed-angle theorem.