Random variables
Mathematics Advanced 11–12 (2024) · Year 12 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MAV-12-07 solves problems involving discrete probability distributions, continuous random variables and the normal distributionContent dot points
Each dot point has its own page with resources matched to it.
Discrete random variables
- Use the relative frequencies of discrete random variable datasets to estimate the probabilities that the random variable X takes each of its values, and explain why these estimated probabilities add to 1
- Denote the probability that the discrete random variable X takes the value x by P(X = x), or by P(x) if the discrete random variable X is understood
- Define a discrete probability distribution to be the set of values x taken by a discrete random variable X, together with the probabilities P(x) that x is the outcome of the experiment
- Define a discrete random variable to be uniformly distributed if it has finitely many values, all with the same probability, and use it to model random phenomena with equally likely outcomes
- Recognise the mean, or expected value, μ or E(X), of a discrete random variable X as a measure of centre for its distribution
- Generate and use the formulas E(X) = μ = ΣxP(x) and Var(X) = σ² = Σ(x - μ)²P(x) = Σx²P(x) - μ² for the random variable X, where Var(X) is the variance and σ is the standard deviation of the distribution
- Recognise that the variance is an expected value because Var(X) = E((X - μ)²)
- Generate a probability distribution for a given discrete random variable and represent the probability distribution in graphical and tabular form
- Solve problems involving probabilities, expectation and variance of discrete random variables
Continuous random variables
- Estimate the probability that a continuous random variable falls in some interval using relative frequencies and histograms obtained from data
- Recognise that the probability of a particular value for a continuous random variable is 0 and hence that Pa since P(X = a) = P(X = b) = 0 when X is a continuous random variable
- Define the cumulative distribution function (CDF), F(x), as the probability of a random variable, X, having values less than or equal to x, so F(x) = P(X ≤ x) and P(a ≤ x ≤ b) = F(b) - F(a)
- Recognise that the cumulative distribution function, F(x), is non-decreasing for all x in its domain, and graph cumulative distribution functions, given a formula for F(x), with and without graphing applications 2 resources · 2 interactive/game
- Define a probability density function (PDF), f(x), for a random variable X with cumulative distribution function F(x) as f(x) = F'(x) and recognise that Pa
- Recognise the properties of a probability density function: f(x) ≥ 0 for all x in the domain of f(x), and ∫abf(x)dx = 1 if the domain of f(x) is [a,b], or ∫ - ∞∞f(x)dx = 1 if the domain of f(x) is all real x
- Apply the properties of a probability density function to solve problems and justify conclusions
- Find the mode from a given probability density function
- Obtain the cumulative distribution function using the formula F(x) = ∫axf(t)dt where f(x) is a given probability density function defined on the interval (a,b)
- Determine and use the probability density function f(x) = 1/(b - a) for a continuous uniform distribution for a random variable X taking values in the interval [a,b]
- Use a cumulative distribution function to calculate the median and quartiles for a continuous random variable
- Find the probability density function from a given cumulative distribution function
- Generate the expression for the expected value of a continuous random variable, E(X) = μ = ∫abxf(x)dx, where the probability density function f(x) is defined on the interval [a,b]
- Generate the expression for the variance of a continuous random variable, Var(X) = E(X²) - μ² = ∫abx²f(x)dx - μ², where the probability density function f(x) is defined on the interval [a,b]
- Evaluate the expected value and the variance of a continuous random variable, where the probability density function f(x) is defined on the interval [a,b], that involve integration of functions within the scope of the Mathematics Advanced course
- Evaluate the expected value and the variance of a continuous random variable, where the probability density function f(x) is defined on the interval [a,b], that involve integration of functions beyond the scope of the Mathematics Advanced course using an online computational application
The normal distribution
- Identify the normal distribution as a continuous probability distribution that is used to model many naturally occurring phenomena
- Identify the graph of the probability density function of a normal distribution, the normal curve, as an ‘ideal’ bell-shaped curve, symmetrical about its mean which is equal to its mode and median, and as having most values concentrated about the mean
- Identify contexts that can be approximately modelled by a normal random variable
- Use the notation X∼N(μ,σ²) to represent a normally distributed random variable that has mean μ and standard deviation σ
- Represent probabilities associated with the normal distribution by areas of shaded regions under the normal curve, which may extend to ±∞
- Apply the empirical rule to make judgements and solve problems involving probabilities of normally distributed data: that for normal distributions, approximately 68% of data lie within one standard deviation of the mean, approximately 95% within two standard deviations of the mean and approximately 99.7% within three standard deviations of the mean
- Use graphing applications to explore the normal distribution, graph the probability density function f(x) = 1/(σ√(2π))e^(- (((x - μ))²)/(2σ²)), verify the empirical rule and graph the cumulative distribution function 2 resources · 2 interactive/game
- Recognise features of the normal curve, and identify the global maximum and points of inflection
- Distinguish between a standard normal distribution with mean 0 and standard deviation 1, and the non-standard normal distribution with mean μ and standard deviation σ
- Define the z - score, or standardised score, by the formula z = (x - μ)/σ, where μ is the mean and σ is the standard deviation, and x is an observed value of a random variable
- Interpret the z -score as the number of standard deviations a score lies above or below the mean
- Use z -scores to compare scores from different sets of data and justify conclusions
- Use z -scores to identify probabilities of events less or more extreme than a given outcome and solve problems using tables for the standard normal distribution
- Solve problems involving finding the mean or standard deviation of a normal random variable given the probability of an event less or more extreme than a given outcome
- Use z -scores to make judgements related to probabilities of certain events or given sets of data assuming an underlying normal distribution
Mathematics Advanced 11–12 – Year 12 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- 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.
- WorksheetDrillKuta free worksheet: Variable and verbal expressionsUse it for: Printable skills-practice sheet with answer key on variable and verbal expressions; good for drill or homework.
- WorksheetDrillKuta free worksheet: Evaluating variable expressions (substitution)Use it for: Printable skills-practice sheet with answer key on evaluating variable expressions (substitution); good for drill or homework.
- WorksheetDrillKuta free worksheet: Simplifying variable expressionsUse it for: Printable skills-practice sheet with answer key on simplifying variable expressions; good for drill or homework.
- WorksheetDrillKuta free worksheet: The distributive propertyUse it for: Printable skills-practice sheet with answer key on the distributive property; good for drill or homework.
- WorksheetDrillKuta free worksheet: Factoring monomialsUse it for: Printable skills-practice sheet with answer key on factoring monomials; good for drill or homework.
- WorksheetDrillKuta free worksheet: Adding and subtracting integersUse it for: Printable skills-practice sheet with answer key on adding and subtracting integers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Multiplying integersUse it for: Printable skills-practice sheet with answer key on multiplying integers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Dividing integersUse it for: Printable skills-practice sheet with answer key on dividing integers; 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: Greatest common factor (HCF)Use it for: Printable skills-practice sheet with answer key on greatest common factor (hcf); good for drill or homework.
- WorksheetDrillKuta free worksheet: Factoring numbers (prime factorisation)Use it for: Printable skills-practice sheet with answer key on factoring numbers (prime factorisation); good for drill or homework.
- WorksheetDrillKuta free worksheet: Divisibility and factorsUse it for: Printable skills-practice sheet with answer key on divisibility and factors; good for drill or homework.
- WorksheetDrillKuta free worksheet: Converting between fractions and decimalsUse it for: Printable skills-practice sheet with answer key on converting between fractions and decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Converting between percents, fractions and decimalsUse it for: Printable skills-practice sheet with answer key on converting between percents, fractions and decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Adding and subtracting fractions and mixed numbersUse it for: Printable skills-practice sheet with answer key on adding and subtracting fractions and mixed numbers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Multiplying and dividing fractions and mixed numbersUse it for: Printable skills-practice sheet with answer key on multiplying and dividing fractions and mixed numbers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Multiplying decimalsUse it for: Printable skills-practice sheet with answer key on multiplying decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Percent word problemsUse it for: Printable skills-practice sheet with answer key on percent word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Finding percent changeUse it for: Printable skills-practice sheet with answer key on finding percent change; good for drill or homework.
- WorksheetDrillKuta free worksheet: Markup, discount and taxUse it for: Printable skills-practice sheet with answer key on markup, discount and tax; good for drill or homework.
- WorksheetDrillKuta free worksheet: Markup, discount and tax (harder)Use it for: Printable skills-practice sheet with answer key on markup, discount and tax (harder); good for drill or homework.
- WorksheetDrillKuta free worksheet: Simple and compound interestUse it for: Printable skills-practice sheet with answer key on simple and compound interest; good for drill or homework.
- WorksheetDrillKuta free worksheet: One-step equations with integersUse it for: Printable skills-practice sheet with answer key on one-step equations with integers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Two-step equations with integersUse it for: Printable skills-practice sheet with answer key on two-step equations with integers; good for drill or homework.
- WorksheetDrillKuta free worksheet: Two-step equations with decimalsUse it for: Printable skills-practice sheet with answer key on two-step equations with decimals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Two-step equation word problemsUse it for: Printable skills-practice sheet with answer key on two-step equation word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Multi-step equationsUse it for: Printable skills-practice sheet with answer key on multi-step equations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Graphing single-variable inequalitiesUse it for: Printable skills-practice sheet with answer key on graphing single-variable inequalities; good for drill or homework.
- WorksheetDrillKuta free worksheet: Two-step inequalitiesUse it for: Printable skills-practice sheet with answer key on two-step inequalities; good for drill or homework.
- WorksheetDrillKuta free worksheet: Multi-step inequalitiesUse it for: Printable skills-practice sheet with answer key on multi-step inequalities; good for drill or homework.
- WorksheetDrillKuta free worksheet: Multiplication property of exponentsUse it for: Printable skills-practice sheet with answer key on multiplication property of exponents; good for drill or homework.
- WorksheetDrillKuta free worksheet: Division property of exponentsUse it for: Printable skills-practice sheet with answer key on division property of exponents; good for drill or homework.
- WorksheetDrillKuta free worksheet: Powers of products and quotientsUse it for: Printable skills-practice sheet with answer key on powers of products and quotients; good for drill or homework.
- WorksheetDrillKuta free worksheet: Writing scientific notationUse it for: Printable skills-practice sheet with answer key on writing scientific notation; good for drill or homework.
- WorksheetDrillKuta free worksheet: Square rootsUse it for: Printable skills-practice sheet with answer key on square roots; good for drill or homework.
- WorksheetDrillKuta free worksheet: Proportion word problemsUse it for: Printable skills-practice sheet with answer key on proportion word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Similar figuresUse it for: Printable skills-practice sheet with answer key on similar figures; good for drill or homework.
- WorksheetDrillKuta free worksheet: Similar figure word problemsUse it for: Printable skills-practice sheet with answer key on similar figure word problems; good for drill or homework.
- WorksheetDrillKuta free worksheet: Finding slope (gradient)Use it for: Printable skills-practice sheet with answer key on finding slope (gradient); good for drill or homework.
- WorksheetDrillKuta free worksheet: Graphing lines in slope-intercept formUse it for: Printable skills-practice sheet with answer key on graphing lines in slope-intercept form; good for drill or homework.
- WorksheetDrillKuta free worksheet: Writing linear equationsUse it for: Printable skills-practice sheet with answer key on writing linear equations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Systems of equations by graphingUse it for: Printable skills-practice sheet with answer key on systems of equations by graphing; good for drill or homework.
- WorksheetDrillKuta free worksheet: Translations of shapesUse it for: Printable skills-practice sheet with answer key on translations of shapes; good for drill or homework.
- WorksheetDrillKuta free worksheet: Rotations of shapesUse it for: Printable skills-practice sheet with answer key on rotations of shapes; good for drill or homework.
- WorksheetDrillKuta free worksheet: Reflections of shapesUse it for: Printable skills-practice sheet with answer key on reflections of shapes; good for drill or homework.
- WorksheetDrillKuta free worksheet: Angle relationshipsUse it for: Printable skills-practice sheet with answer key on angle relationships; good for drill or homework.
- WorksheetDrillKuta free worksheet: The Pythagorean theoremUse it for: Printable skills-practice sheet with answer key on the pythagorean theorem; good for drill or homework.
- WorksheetDrillKuta free worksheet: Classifying triangles and quadrilateralsUse it for: Printable skills-practice sheet with answer key on classifying triangles and quadrilaterals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Angle sum of triangles and quadrilateralsUse it for: Printable skills-practice sheet with answer key on angle sum of triangles and quadrilaterals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Area of trianglesUse it for: Printable skills-practice sheet with answer key on area of triangles; good for drill or homework.
- WorksheetDrillKuta free worksheet: Area of squares, rectangles and parallelogramsUse it for: Printable skills-practice sheet with answer key on area of squares, rectangles and parallelograms; good for drill or homework.
- WorksheetDrillKuta free worksheet: Area of trapezoids (trapeziums)Use it for: Printable skills-practice sheet with answer key on area of trapezoids (trapeziums); good for drill or homework.
- WorksheetDrillKuta free worksheet: Area and circumference of circlesUse it for: Printable skills-practice sheet with answer key on area and circumference of circles; good for drill or homework.
- WorksheetDrillKuta free worksheet: Volume of solidsUse it for: Printable skills-practice sheet with answer key on volume of solids; good for drill or homework.
- WorksheetDrillKuta free worksheet: Surface area of solidsUse it for: Printable skills-practice sheet with answer key on surface area of solids; good for drill or homework.
- WorksheetDrillKuta free worksheet: Multiplying binomialsUse it for: Printable skills-practice sheet with answer key on multiplying binomials; good for drill or homework.
- WorksheetDrillKuta free worksheet: Center and spread of dataUse it for: Printable skills-practice sheet with answer key on center and spread of data; good for drill or homework.
- WorksheetDrillKuta free worksheet: Scatter plotsUse it for: Printable skills-practice sheet with answer key on scatter plots; good for drill or homework.
- WorksheetDrillKuta free worksheet: Visualizing dataUse it for: Printable skills-practice sheet with answer key on visualizing data; good for drill or homework.
- WorksheetDrillKuta free worksheet: Drawing dot plotsUse it for: Printable skills-practice sheet with answer key on drawing dot plots; good for drill or homework.
- WorksheetDrillKuta free worksheet: Interpreting histogramsUse it for: Printable skills-practice sheet with answer key on interpreting histograms; good for drill or homework.
- WorksheetDrillKuta free worksheet: Drawing box plotsUse it for: Printable skills-practice sheet with answer key on drawing box plots; good for drill or homework.
- WorksheetDrillKuta free worksheet: Interpreting box plotsUse it for: Printable skills-practice sheet with answer key on interpreting box plots; good for drill or homework.
- WorksheetDrillKuta free worksheet: Nets of polyhedraUse it for: Printable skills-practice sheet with answer key on nets of polyhedra; good for drill or homework.
- WorksheetDrillKuta free worksheet: Nets and surface area of polyhedraUse it for: Printable skills-practice sheet with answer key on nets and surface area of polyhedra; good for drill or homework.
- WorksheetDrillKuta free worksheet: Area of kitesUse it for: Printable skills-practice sheet with answer key on area of kites; good for drill or homework.
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- VideoStarterCorbettmaths video: Circles: perimeter – quarter-circleUse it for: Short worked-example video on circles: perimeter – quarter-circle to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Circle theorems – theoremsUse it for: Short worked-example video on circle theorems – theorems to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Circle theorems – theoremsUse it for: Free printable graded practice questions (with answers) on circle theorems – theorems for drill or a quick check.
- VideoStarterCorbettmaths video: Circle theorems – examplesUse it for: Short worked-example video on circle theorems – examples to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Circle theorems proof: angles at circumference/centreUse it for: Short worked-example video on circle theorems proof: angles at circumference/centre to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: Circle theorems proof: cyclic quadrilateralsUse it for: Short worked-example video on circle theorems proof: cyclic quadrilaterals to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Circle theorems proof: alternate segment theoremUse it for: Short worked-example video on circle theorems proof: alternate segment theorem to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Circle theorems proof: radius and tangent proofUse it for: Short worked-example video on circle theorems proof: radius and tangent proof to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Congruent shapesUse it for: Short worked-example video on congruent shapes to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Congruent shapesUse it for: Free printable graded practice questions (with answers) on congruent shapes for drill or a quick check.
- VideoStarterCorbettmaths video: Congruent trianglesUse it for: Short worked-example video on congruent triangles to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Congruent trianglesUse it for: Free printable graded practice questions (with answers) on congruent triangles for drill or a quick check.
- VideoStarterCorbettmaths video: CoordinatesUse it for: Short worked-example video on coordinates to model the method before practice or for flipped revision.
- Corbettmaths practice questions: CoordinatesUse it for: Free printable graded practice questions (with answers) on coordinates for drill or a quick check.
- VideoStarterCorbettmaths video: Coordinates: midpoint of a lineUse it for: Short worked-example video on coordinates: midpoint of a line to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Coordinates: distance between 2 pointsUse it for: Short worked-example video on coordinates: distance between 2 points to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Coordinates: distance between 2 pointsUse it for: Free printable graded practice questions (with answers) on coordinates: distance between 2 points for drill or a quick check.
- VideoStarterCorbettmaths video: Decimals: division by decimalsUse it for: Short worked-example video on decimals: division by decimals to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Decimals: division by decimalsUse it for: Free printable graded practice questions (with answers) on decimals: division by decimals for drill or a quick check.
- VideoStarterCorbettmaths video: Decimals: multiplyingUse it for: Short worked-example video on decimals: multiplying to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Decimals: recurring decimalsUse it for: Short worked-example video on decimals: recurring decimals to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: EnlargementsUse it for: Short worked-example video on enlargements to model the method before practice or for flipped revision.
- 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.
- VideoStarterCorbettmaths video: Equations: involving fractionsUse it for: Short worked-example video on equations: involving fractions to model the method before practice or for flipped revision.
- 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.
- VideoStarterCorbettmaths video: Equations: fractional advancedUse it for: Short worked-example video on equations: fractional advanced to model the method before practice or for flipped revision.
- 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.
- VideoStarterCorbettmaths video: Equations: cross multiplicationUse it for: Short worked-example video on equations: cross multiplication to model the method before practice or for flipped revision.
- 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.
- VideoStarterCorbettmaths video: Equations: letters both sidesUse it for: Short worked-example video on equations: letters both sides to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Equations: angles and perimeterUse it for: Short worked-example video on equations: angles and perimeter to model the method before practice or for flipped revision.
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- 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.
- VideoStarterCorbettmaths video: Factorisation: quadraticsUse it for: Short worked-example video on factorisation: quadratics to model the method before practice or for flipped revision.
- 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.
- VideoStarterCorbettmaths video: Factorisation: splitting the middleUse it for: Short worked-example video on factorisation: splitting the middle 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.
- VideoStarterCorbettmaths video: FDP: percentages to fractionsUse it for: Short worked-example video on fdp: percentages to fractions to model the method before practice or for flipped revision.
- Corbettmaths practice questions: FDP: percentages to fractionsUse it for: Free printable graded practice questions (with answers) on fdp: percentages to fractions for drill or a quick check.
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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.
- VideoStarterCorbettmaths video: FDP: orderingUse it for: Short worked-example video on fdp: ordering to model the method before practice or for flipped revision.
- Corbettmaths practice questions: FDP: orderingUse it for: Free printable graded practice questions (with answers) on fdp: ordering for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: addition same denominatorUse it for: Short worked-example video on fractions: addition same denominator to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: addition same denominatorUse it for: Free printable graded practice questions (with answers) on fractions: addition same denominator for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: addition diff denominatorsUse it for: Short worked-example video on fractions: addition diff denominators to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: addition diff denominatorsUse it for: Free printable graded practice questions (with answers) on fractions: addition diff denominators for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: divisionUse it for: Short worked-example video on fractions: division to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: divisionUse it for: Free printable graded practice questions (with answers) on fractions: division for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: equivalentUse it for: Short worked-example video on fractions: equivalent to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: equivalentUse it for: Free printable graded practice questions (with answers) on fractions: equivalent for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: expressing asUse it for: Short worked-example video on fractions: expressing as to model the method before practice or for flipped revision.
- 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.
- VideoStarterCorbettmaths video: Fractions: fraction of an amountUse it for: Short worked-example video on fractions: fraction of an amount to model the method before practice or for flipped revision.
- 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.
- VideoStarterCorbettmaths video: Fractions: mixed number to improperUse it for: Short worked-example video on fractions: mixed number to improper to model the method before practice or for flipped revision.
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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: Fractions: simplifyingUse it for: Short worked-example video on fractions: simplifying to model the method before practice or for flipped revision.
- 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.
- VideoStarterCorbettmaths video: Graphs: pie charts (interpret)Use it for: Short worked-example video on graphs: pie charts (interpret) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Graphs: pie charts (interpret)Use it for: Free printable graded practice questions (with answers) on graphs: pie charts (interpret) for drill or a quick check.
- 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.
- VideoStarterCorbettmaths video: Graphs: scatter graphs (correlation)Use it for: Short worked-example video on graphs: scatter graphs (correlation) to model the method before practice or for flipped revision.
- 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.
- Corbettmaths practice questions: Graphs: stem and leaf (draw)Use it for: Free printable graded practice questions (with answers) on graphs: stem and leaf (draw) for drill or a quick check.
- VideoStarterCorbettmaths video: Graphs: stem and leaf (interpret)Use it for: Short worked-example video on graphs: stem and leaf (interpret) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Graphs: distance-time graphsUse it for: Short worked-example video on graphs: distance-time graphs to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Graphs: distance-time graphsUse it for: Free printable graded practice questions (with answers) on graphs: distance-time graphs for drill or a quick check.
- VideoStarterCorbettmaths video: Graphs: real life linear graphsUse it for: Short worked-example video on graphs: real life linear graphs to model the method before practice or for flipped revision.
- 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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- 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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- 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.
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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.
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- 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.
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- 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.
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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: 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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- Corbettmaths practice questions: Parallel linesUse it for: Free printable graded practice questions (with answers) on parallel lines for drill or a quick check.
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- VideoStarterCorbettmaths video: Percentages: changeUse it for: Short worked-example video on percentages: change to model the method before practice or for flipped revision.
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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: Standard formUse it for: Free printable graded practice questions (with answers) on standard form for drill or a quick check.
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- 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.
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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.
- VideoStarterCorbettmaths video: Money: TaxUse it for: Short worked-example video on money: tax to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Money: TaxUse it for: Free printable graded practice questions (with answers) on money: tax for drill or a quick check.
- VideoStarterCorbettmaths video: Money: ProfitUse it for: Short worked-example video on money: profit to model the method before practice or for flipped revision.
- 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.