Introduction to complex numbers
Mathematics Extension 2 11–12 (2024) · Year 12 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
ME2-12-03 uses algebraic and geometric representations of complex numbers to prove results and model and solve problemsContent dot points
Each dot point has its own page with resources matched to it.
Arithmetic of complex numbers
- Define the number i by i² = - 1
- Use the number i to solve quadratic equations of the form x² + k = 0 where k is a positive real number
- Define the complex numbers (C) as the set of numbers of the form a + ib, where a and b are real numbers
- Use complex numbers to express the roots of quadratic equations of the form ax² + bx + c = 0, where a, b and c are real numbers and the discriminant ∆ =b2–4ac
- Refer to a as ‘the real part of the complex number z = a + ib ’, denoted by Re(z)
- Refer to b as ‘the imaginary part of the complex number z = a + ib ’, denoted by Im(z)
- Classify numbers as belonging to the set of natural numbers (N), integers (Z), rational numbers (Q), real numbers (R) or complex numbers (C), each of which is an extension of the previous
- Identify and use the condition for two complex numbers z_1 and z_2 to be equal, that is z_1 = z_2 if and only if Re(z_1) = Re(z_2) and Im(z_1) = Im(z_2)
- Define and perform complex number addition, subtraction and multiplication, with and without digital tools
- Define the complex conjugate of a complex number z = a + ib as z̅ = a - ib and use it to solve problems
- Define and calculate the modulus of a complex number z = a + ib as (z) = √(zz̅) = √(a² + b²)
- Establish relationships Re(z) = (z + z̅)/2 and Im(z) = (z - z̅)/(2i) and 1/z = z¯/((z))², z≠0, and use them to solve problems
- Divide one complex number by another non-zero complex number, with and without digital tools, and give the result in the form a + ib
- Find the two square roots of a complex number z = a + ib
Geometric representation of complex numbers
- Plot the complex number z = a + ib as a point on the complex plane with and without graphing applications 2 resources · 2 interactive/game
- Define and calculate the argument of a non-zero complex number z = a + ib as arg(z) = θ, where θ satisfies sinθ = b/(z) and cosθ = a/(z), noting that the argument has multiple values that differ by multiples of 2π
- Define and use the principal argument Arg(z) of a non-zero complex number z as the unique value of the argument in the interval (- π,π]
- Define and use complex numbers in polar or modulus–argument form that expresses a complex number in terms of its modulus and argument, z = r(cosθ + isinθ), where r is its modulus and θ is an argument of z, and represent complex numbers in this form on the complex plane
- Use multiplication, division and powers of complex numbers in polar form and interpret these geometrically
- Convert between complex numbers in Cartesian form and polar form and use complex numbers in Cartesian form and polar form to solve problems
- Prove and use identities involving the modulus of complex numbers: (z_1z_2) = (z_1)(z_2), (z_1/z_2) = (z_1)/(z_2) and (zⁿ) = (z)ⁿ, where n is an integer
- Prove and use identities involving the argument of complex numbers: arg(z_1z_2) = arg(z_1) + arg(z_2), arg(z_1/z_2) = arg(z_1) - arg(z_2) and arg(zⁿ) = narg(z) where n is an integer
- Prove and use identities involving the complex conjugate of complex numbers: z_1___ + z_2___ = z_1 + z_2____________, z_1___z_2___ = z_1z_2________
- Prove and use the triangle inequality (z_1 + z_2) ≤ (z_1) + (z_2) for complex numbers z_1 and z_2
Solving equations with complex numbers
- Solve quadratic equations of the form ax² + bx + c = 0, where a, b and c are complex numbers
- Recognise that solutions to quadratic equations with real coefficients are complex conjugates of each other and use this to solve problems
- Prove the complex conjugate root theorem: if the complex number z = a + ib is a root of the polynomial equation P(x) = 0 with real coefficients, then the complex conjugate z̅ = a - ib is also a root of P(x) = 0
- Solve problems involving complex conjugate roots of polynomial equations with real coefficients
Powers and roots of complex numbers
- Using proof by mathematical induction prove de Moivre’s theorem for positive integer powers: (cosθ + isinθ)ⁿ = cosnθ + isinnθ
- Prove that (cosθ + isinθ)ⁿ = cosnθ + isinnθ for negative integers n
- Use de Moivre’s theorem to find any integer power of a given complex number
- Use de Moivre’s theorem to derive trigonometric identities
- Determine the n ^th roots of ±1 in polar form and their location on the unit circle
- Illustrate the geometrical relationship connecting the n ^th roots of ±1
- Determine the n ^th roots of complex numbers and their location on the complex plane
- Recognise that a complex number can be represented as a vector, where the magnitude and direction of the vector are determined by the modulus and argument of the complex number respectively
- Examine and use addition and subtraction of complex numbers as vectors on the complex plane
- Examine and use the geometric interpretation of multiplying complex numbers, including rotation and dilation on the complex plane, with and without graphing applications 2 resources · 2 interactive/game
- Prove geometric results using complex numbers as vectors
- Solve problems and prove results using the n ^th roots of complex numbers
Describing lines, curves and regions
- Graph vertical and horizontal lines of the form Re(z) = c or Im(z) = k where c and k are real constants
- Graph the line corresponding to the equation (z - z_1) = (z - z_2), where z_1 and z_2 are complex numbers, and give a geometrical description of the line
- Graph the circles corresponding to the equations (z) = r and (z - z_1) = r, where z_1 is a complex number and r is a positive real number
- Graph rays corresponding to the equations arg(z) = θ and arg(z - z_1) = θ, where z_1 is a complex number
- Graph regions associated with lines, rays and circles defined using complex numbers, giving a geometrical description of any such curves or regions, and using circle geometry theorems where necessary
Mathematics Extension 2 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 Extension 2 (2024) – 2026 Stage 6 quick reference guide
- Unit/PlanningMathematics Extension 2 – 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.
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- VideoStarterCorbettmaths video: Circles: perimeter – semi-circleUse it for: Short worked-example video on circles: perimeter – semi-circle to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Circles: perimeter – semi-circleUse it for: Free printable graded practice questions (with answers) on circles: perimeter – semi-circle for drill or a quick check.
- 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: 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.
- Corbettmaths practice questions: Decimals: recurring decimalsUse it for: Free printable graded practice questions (with answers) on decimals: recurring decimals for drill or a quick check.
- 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.
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- VideoStarterCorbettmaths video: Equations: x squaredUse it for: Short worked-example video on equations: x squared to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Equations: x squaredUse it for: Free printable graded practice questions (with answers) on equations: x squared for drill or a quick check.
- Corbettmaths practice questions: Equations: Think of a numberUse it for: Free printable graded practice questions (with answers) on equations: think of a number for drill or a quick check.
- VideoStarterCorbettmaths video: FactorisationUse it for: Short worked-example video on factorisation to model the method before practice or for flipped revision.
- Corbettmaths practice questions: FactorisationUse it for: Free printable graded practice questions (with answers) on factorisation for drill or a quick check.
- 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.
- Corbettmaths practice questions: Factorisation: splitting the middleUse it for: Free printable graded practice questions (with answers) on factorisation: splitting the middle for drill or a quick check.
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- Corbettmaths practice questions: Factorisation: bracketsUse it for: Free printable graded practice questions (with answers) on factorisation: brackets for drill or a quick check.
- VideoStarterCorbettmaths video: FDP: percentages to decimalsUse it for: Short worked-example video on fdp: percentages to decimals to model the method before practice or for flipped revision.
- Corbettmaths practice questions: FDP: percentages to decimalsUse it for: Free printable graded practice questions (with answers) on fdp: percentages to decimals for drill or a quick check.
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- Corbettmaths practice questions: FDP: percentages to fractionsUse it for: Free printable graded practice questions (with answers) on fdp: percentages to fractions for drill or a quick check.
- VideoStarterCorbettmaths video: FDP: decimals to fractionsUse it for: Short worked-example video on fdp: decimals to fractions to model the method before practice or for flipped revision.
- 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.
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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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- Corbettmaths practice questions: Fractions: orderingUse it for: Free printable graded practice questions (with answers) on fractions: ordering for drill or a quick check.
- 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.
- VideoStarterCorbettmaths video: Graphs: misleading graphsUse it for: Short worked-example video on graphs: misleading graphs to model the method before practice or for flipped revision.
- 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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- Corbettmaths practice questions: Graphs: filling containersUse it for: Free printable graded practice questions (with answers) on graphs: filling containers for drill or a quick check.
- VideoStarterCorbettmaths video: Indices (numerical)Use it for: Short worked-example video on indices (numerical) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Indices (numerical)Use it for: Free printable graded practice questions (with answers) on indices (numerical) for drill or a quick check.
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- Corbettmaths practice questions: Indices: fractionalUse it for: Free printable graded practice questions (with answers) on indices: fractional for drill or a quick check.
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- Corbettmaths practice questions: Indices: negativeUse it for: Free printable graded practice questions (with answers) on indices: negative for drill or a quick check.
- VideoStarterCorbettmaths video: Inequalities on a number lineUse it for: Short worked-example video on inequalities on a number line to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Inequalities on a number lineUse it for: Free printable graded practice questions (with answers) on inequalities on a number line for drill or a quick check.
- VideoStarterCorbettmaths video: Inequalities: solving (one sign)Use it for: Short worked-example video on inequalities: solving (one sign) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Inequalities: solving (two signs)Use it for: Short worked-example video on inequalities: solving (two signs) to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: Limits of accuracyUse it for: Short worked-example video on limits of accuracy to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Limits of accuracyUse it for: Free printable graded practice questions (with answers) on limits of accuracy for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: drawing (xy table)Use it for: Short worked-example video on linear graphs: drawing (xy table) to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: drawing using y=mx+cUse it for: Short worked-example video on linear graphs: drawing using y=mx+c to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: gradient of a lineUse it for: Short worked-example video on linear graphs: gradient of a line to model the method before practice or for flipped revision.
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- VideoStarterCorbettmaths video: Linear graphs: y=mx+cUse it for: Short worked-example video on linear graphs: y=mx+c 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.
- VideoStarterCorbettmaths video: Linear graphs: equation through 2 pointsUse it for: Short worked-example video on linear graphs: equation through 2 points to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Linear graphs: parallel linesUse it for: Free printable graded practice questions (with answers) on linear graphs: parallel lines for drill or a quick check.
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- Corbettmaths practice questions: Linear graphs: perpendicular linesUse it for: Free printable graded practice questions (with answers) on linear graphs: perpendicular lines for drill or a quick check.
- VideoStarterCorbettmaths video: Negatives: addition/subtractionsUse it for: Short worked-example video on negatives: addition/subtractions to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Negatives: addition/subtractionsUse it for: Free printable graded practice questions (with answers) on negatives: addition/subtractions for drill or a quick check.
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- VideoStarterCorbettmaths video: Negatives: divisionUse it for: Short worked-example video on negatives: division to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Negatives: orderingUse it for: Free printable graded practice questions (with answers) on negatives: ordering for drill or a quick check.
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- VideoStarterCorbettmaths video: Number: best buysUse it for: Short worked-example video on number: best buys to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Number: cubing a numberUse it for: Free printable graded practice questions (with answers) on number: cubing a number for drill or a quick check.
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- 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.
- Corbettmaths practice questions: Percentages: changeUse it for: Free printable graded practice questions (with answers) on percentages: change for drill or a quick check.
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- VideoStarterCorbettmaths video: Percentages: of an amount (calc)Use it for: Short worked-example video on percentages: of an amount (calc) to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: RotationsUse it for: Free printable graded practice questions (with answers) on rotations for drill or a quick check.
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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: BillsUse it for: Free printable graded practice questions (with answers) on money: bills for drill or a quick check.
- VideoStarterCorbettmaths video: Money: DiscountsUse it for: Short worked-example video on money: discounts to model the method before practice or for flipped revision.
- 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.