Integral calculus
Mathematics Advanced 11–12 (2024) · Year 12 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MAV-12-05 solves problems involving indefinite and definite integralsContent dot points
Each dot point has its own page with resources matched to it.
Primitive functions
- Define a primitive of a function f(x) as a function F(x) whose derivative F'(x) = f(x) and recognise the process of finding the primitive as the reverse of differentiation
- Recognise that a function whose derivative is everywhere zero is a constant function
- Prove by differentiation that a primitive of f(x) = xⁿ is F(x) = x^(n + 1)/(n + 1), for all real n≠ - 1
- Prove by differentiation that if F(x) and G(x) are primitives of f(x) and g(x), and k is a constant, then F(x) + G(x) is a primitive of f(x) + g(x), and kF(x) is a primitive of kf(x)
- Recognise that primitives of a function f(x) are not unique, and that any two primitives of f(x) differ by a constant, so that if F(x) is a primitive of f(x), the general primitive of f(x) is F(x) + C, for some constant C
- Determine the primitive of a given function f(x), where f(x) is a sum of functions of the form kxⁿ for all real n≠ - 1
- Determine the primitive function for functions of the form f(x) = (ax + b)ⁿ, for all real n≠ - 1, where a and b are constants
- Use algebraic manipulation to express given functions in forms suitable for determining primitive functions
- Determine f(x), given f'(x) and an initial condition f(a) = b where a and b are constants
The definite integral
- Examine for a function f(x), which indicates the rate of change of a quantity, the meaning of ∑abf(x)Δx, where the interval a ≤ x ≤ b is divided into subintervals of length Δx, and describe ∑abf(x)Δx as an estimate of the total change in that quantity over the interval a ≤ x ≤ b
- Consider the definite integral as ∫abf(x)dx = limΔx→0∑abf(x)Δx, noting that this implies that the result of a definite integral will be negative when f(x) ≤ 0 throughout the interval a ≤ x ≤ b
- Define informally that a function is continuous on the interval a ≤ x ≤ b if it can be drawn between the two endpoints of the interval without taking the pen off the paper
- Graph the region between the continuous function y = f(x) and the x -axis, where f(x) ≥ 0 on the interval a ≤ x ≤ b
- Use a graphing application to compare different methods of approximating the area, A, of the region between the continuous function y = f(x) and the x -axis, where f(x) ≥ 0 on the interval a ≤ x ≤ b, by summing the areas of trapezia or rectangles each of width Δx = (b - a)/n and approximate height f(x) for any x lying in its base, and observe the effect on the precision of the approximation of A as the number n of subintervals of a ≤ x ≤ b increases, that is as Δx→0 2 resources · 2 interactive/game
- Evaluate the definite integral ∫abf(x)dx by calculating areas using geometrical formulas, where the shape of f(x) allows such calculations, in cases where f(x) ≥ 0 throughout a ≤ x ≤ b, f(x) ≤ 0 throughout a ≤ x ≤ b or where f(x) changes sign in the interval a ≤ x ≤ b
The Fundamental Theorem of Calculus
- Consider the function defined by A(x) = ∫axf(t)dt and use a graphing application to recognise that A(x) is a primitive of f(x) 2 resources · 2 interactive/game
- Recognise the Fundamental Theorem of Calculus as ∫abf(x)dx = (F(x))b/a = F(b) - F(a) for a continuous function f on the interval a ≤ x ≤ b where F(x) is any primitive of f(x)
Indefinite integrals
- Use the notation ∫f(x)dx for the general primitive of f(x), called the indefinite integral of f(x), so that ∫f(x)dx = F(x) + C, for some constant C, where F(x) is any primitive of f(x)
- Recognise integration as the process of finding the indefinite integral of a function
- Use the formula ∫xⁿdx = 1/(n + 1)x^(n + 1) + C for real n≠ - 1
- Use the identities ∫(f(x) + g(x))dx = ∫f(x)dx + ∫g(x)dx and ∫kf(x)dx = k∫f(x)dx for primitives
- Prove by differentiation, and apply ∫uⁿdu/dxdx = 1/(n + 1)u^(n + 1) + C, where u is a function of x, or ∫f'(x)(f(x))ⁿdx = 1/(n + 1)(f(x))^(n + 1) + C, for real n≠ - 1
Integration with exponential functions
- Establish and use the formula ∫e^xdx = e^x + C
- Establish and use the formula ∫e^(ax + b)dx = 1/ae^(ax + b) + C, where a and b are constants and a≠0
- Establish and use the formula ∫a^xdx = a^x/(lna) + C, where a is a constant and a > 0
- Establish and use ∫e^udu/dxdx = e^u + C, where u is a function of x, or ∫f^'(x)e^(f(x))dx = e^(f(x)) + C
- Find primitives of functions involving exponential functions
Integration with logarithmic functions
- Derive and use the formula ∫1/xdx = ln|x| + C where x≠0
- Establish and use the formula ∫1/(ax + b)dx = 1/aln(ax + b) + C, where a and b are constants and a≠0
- Establish and use ∫u^'/udx = ln(u) + C, where u is a function of x, or ∫(f^'(x))/(f(x))dx = ln|f(x)| + C, on a domain where f(x)≠0
Integration with trigonometric functions
- Establish and use the formulas ∫sinxdx = - cosx + C, ∫cosxdx = sinx + C and ∫sec²xdx = tanx + C
- Establish and use indefinite integrals of the form ∫f(ax + b)dx, where a and b are constants and a≠0, and f(x) = sinx, f(x) = cosx and f(x) = sec²x
- Determine indefinite integrals of the form ∫f'(x)sinf(x)dx, ∫f'(x)cosf(x)dx and ∫f'(x)sec²f(x)dx
Areas and the definite integral
- Apply ∫abf(x)dx = F(b) - F(a), where F(x) is a primitive of f(x), to calculate definite integrals and solve related theoretical problems involving functions within the scope of the Mathematics Advanced course
- Describe, in the case where f(x) ≥ 0 for all values of x in the interval a ≤ x ≤ b, the area bounded by the graph of the continuous function y = f(x), the x -axis and the lines x = a and x = b, as ∫abf(x)dx
- Recognise, in the case where f(x) ≤ 0 for all values of x in the interval a ≤ x ≤ b, the area bounded by the graph of the continuous function y = f(x), the x -axis and the lines x = a and x = b, as (∫abf(x)dx) or - ∫abf(x)dx
- Conclude, for a continuous function y = f(x) on the interval a ≤ x ≤ b, that ∫abf(x)dx = (area of regions between curve and x -axis lying above the x -axis) - (area of regions between curve and the x -axis lying below the x -axis)
- Use definite integrals to solve problems involving the areas of regions bounded by the graph of the continuous function y = f(x), the x -axis and the lines x = a and x = b, in cases where f(x) ≥ 0 throughout a ≤ x ≤ b, f(x) ≤ 0 throughout a ≤ x ≤ b or where f(x) changes sign in the interval a ≤ x ≤ b, with or without the graph provided
- Use definite integrals to solve problems involving the areas of regions bounded by the graph of the continuous function y = f(x), the y -axis and the lines y = a and y = b, in cases where x ≥ 0 throughout a ≤ y ≤ b, x ≤ 0 throughout a ≤ y ≤ b or where x changes sign in the interval a ≤ y ≤ b with or without the graph provided
- Use the fact that the graphs of y = a^x and y = log_ax are reflections of each other in the line y = x to solve problems involving areas between the x -axis or y -axis and a curve involving either an exponential or logarithmic function
- Recognise and use the result, where f(x) is continuous on the interval a ≤ x ≤ c, ∫abf(x)dx + ∫bcf(x)dx = ∫acf(x)dx for all c such that a ≤ b ≤ c
- Define and use the result ∫abf(x)dx = - ∫baf(x)dx, where f(x) is continuous on the interval a ≤ x ≤ b
- Recognise and use symmetry, particularly odd and even functions, to simplify and solve integration problems
- Use the Trapezoidal rule to approximate integrals
- Use an online computational application to evaluate definite and indefinite integrals involving functions within and beyond the scope of the Mathematics Advanced course
- Model and solve practical problems involving integrals and areas of regions bounded by a curve and the x -axis, or by a curve and the y -axis, involving functions within the scope of the Mathematics Advanced course
Mathematics Advanced 11–12 – Year 12 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningStage 4 Unit 1 – making predictions (sample unit of learning)
- Unit/PlanningStage 4 Unit 2 – making decisions (sample unit of learning)
- Unit/PlanningStage 4 Unit 3 – representing numbers (sample unit of learning)
- Unit/PlanningStage 4 Unit 4 – additive thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 5 – multiplicative thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 6 – triangles and quadrilaterals (sample unit of learning)
- Unit/PlanningStage 4 Unit 7 – length and area (sample unit of learning)
- Unit/PlanningStage 4 Unit 8 – constructing prisms (sample unit of learning)
- Unit/PlanningStage 4 Unit 9 – shape and skew (sample unit of learning)
- Unit/PlanningStage 4 Unit 10 – investigating triangles (sample unit of learning)
- Unit/PlanningStage 4 Unit 11 – geometrical relationships (sample unit of learning)
- Unit/PlanningStage 4 Unit 12 – further multiplicative thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 13 – ratio and rates (sample unit of learning)
- Unit/PlanningStage 4 Unit 14 – analysing patterns (sample unit of learning)
- Unit/PlanningStage 4 Unit 15 – exploring circles (sample unit of learning)
- Unit/PlanningStage 4 Unit 16 – constructing cylinders (sample unit of learning)
- Unit/PlanningStage 5 Unit 1 – geometric representations (sample unit of learning)
- Unit/PlanningStage 5 Unit 2 – working with triangles (sample unit of learning)
- Unit/PlanningStage 5 Unit 3 – prisms and cylinders (sample unit of learning)
- Unit/PlanningStage 5 Unit 4 – index laws (sample unit of learning)
- Unit/PlanningStage 5 Unit 5 – financial mathematics (sample unit of learning)
- Unit/PlanningStage 5 Unit 6 – constant rates of change (sample unit of learning)
- Unit/PlanningStage 5 Unit 7 – making predictions (sample unit of learning)
- Unit/PlanningStage 5 Unit 8 – making decisions (sample unit of learning)
- Unit/PlanningStage 5 Unit 9 – surveying (sample unit of learning)
- Unit/PlanningStage 5 Unit 10 – expressions and equations (sample unit of learning)
- Unit/PlanningStage 5 Unit 11 – applying exponentials (sample unit of learning)
- Unit/PlanningStage 5 Unit 12 – investigating parabolas (sample unit of learning)
- Unit/PlanningStage 5 Unit 13 – bivariate relationships (sample unit of learning)
- Unit/PlanningStage 5 Year 10 – maths in science elective (sample unit of learning)
- Unit/PlanningStage 5 Year 10 – the unit circle elective (sample unit of learning)
- Unit/PlanningTeaching advice – Stage 2: additive relations A strategies and vocabulary
- Unit/PlanningSample unit – Stage 4: fractions and decimals
- Unit/PlanningAnnotated work samples – Early Stage 1, activity 1: combining and separating quantities
- Unit/PlanningTeaching advice – Stage 2: representing numbers using place value B
- Unit/PlanningSample unit – Stage 5: data analysis A
- Unit/PlanningAnnotated work samples – Stage 1, activity 1: combining and separating quantities
- Unit/PlanningTeaching advice – Stage 2: additive relations B language and vocabulary
- Unit/PlanningSample unit – Stage 5: data analysis B
- Unit/PlanningAnnotated work samples – Stage 2, activity 1: additive relations
- Unit/PlanningAnnotated work samples – Stage 2, activity 2: additive relations
- Unit/PlanningSample unit – Stage 5: data analysis C
- Unit/PlanningSample unit – Stage 5: introduction to networks
- Unit/PlanningAnnotated work samples – Stage 1, activity 2: combining and separating quantities
- Unit/PlanningTeaching advice – Stage 2: partitioned fractions A language and vocabulary
- Unit/PlanningAnnotated work samples – Stage 3, activity 2: additive relations
- Unit/PlanningAnnotated work samples – Stage 3, activity 1: additive relations
- Unit/PlanningMathematics Advanced – sample scope and sequence
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 1 – getting healthy (9 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 2 – show me the money (19 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 3 – making things (13 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 4 – driving safely (11 lessons)
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 5 – going places (9 lessons)
- Unit/PlanningMathematics Standard (2024) Year 12 Unit 1 – correlation (9 lessons; Standard 1 differentiation included)
- Unit/PlanningMathematics Standard (2024) Year 12 Unit 2 – managing events (part 1)
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- SimulationStarterPhET Number Line: OperationsUse it for: Model adding and subtracting integers as moves on a number line.
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- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
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- 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.
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- 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.
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- 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.
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- Corbettmaths practice questions: Area: triangleUse it for: Free printable graded practice questions (with answers) on area: triangle for drill or a quick check.
- VideoStarterCorbettmaths video: Averages: medianUse it for: Short worked-example video on averages: median to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Averages: medianUse it for: Free printable graded practice questions (with answers) on averages: median for drill or a quick check.
- VideoStarterCorbettmaths video: Averages: meanUse it for: Short worked-example video on averages: mean to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Averages: mean (frequency table)Use it for: Free printable graded practice questions (with answers) on averages: mean (frequency table) for drill or a quick check.
- VideoStarterCorbettmaths video: Averages: modeUse it for: Short worked-example video on averages: mode to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Averages: rangeUse it for: Short worked-example video on averages: range to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: Averages: QuartilesUse it for: Free printable graded practice questions (with answers) on averages: quartiles for drill or a quick check.
- VideoStarterCorbettmaths video: Averages: DistributionsUse it for: Short worked-example video on averages: distributions to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Averages: DistributionsUse it for: Free printable graded practice questions (with answers) on averages: distributions for drill or a quick check.
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- Corbettmaths practice questions: Circles: arc lengthUse it for: Free printable graded practice questions (with answers) on circles: arc length for drill or a quick check.
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- Corbettmaths practice questions: Circles: circumferenceUse it for: Free printable graded practice questions (with answers) on circles: circumference for drill or a quick check.
- VideoStarterCorbettmaths video: Circles: partsUse it for: Short worked-example video on circles: parts to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Circles: partsUse it for: Free printable graded practice questions (with answers) on circles: parts for drill or a quick check.
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- 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.
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- 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.
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- 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.
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- 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.
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- Corbettmaths practice questions: Equations: cross multiplicationUse it for: Free printable graded practice questions (with answers) on equations: cross multiplication for drill or a quick check.
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- VideoStarterCorbettmaths video: Equations: angles and perimeterUse it for: Short worked-example video on equations: angles and perimeter to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Equations: angles and perimeterUse it for: Free printable graded practice questions (with answers) on equations: angles and perimeter for drill or a quick check.
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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: decimals to fractionsUse it for: Free printable graded practice questions (with answers) on fdp: decimals to fractions for drill or a quick check.
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- VideoStarterCorbettmaths video: FDP: fractions to percentagesUse it for: Short worked-example video on fdp: fractions to percentages to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: FDP: fractions to decimalsUse it for: Short worked-example video on fdp: fractions to decimals to model the method before practice or for flipped revision.
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- Corbettmaths practice questions: FDP: orderingUse it for: Free printable graded practice questions (with answers) on fdp: ordering for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: addition same denominatorUse it for: Short worked-example video on fractions: addition same denominator to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: addition same denominatorUse it for: Free printable graded practice questions (with answers) on fractions: addition same denominator for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: addition diff denominatorsUse it for: Short worked-example video on fractions: addition diff denominators to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: addition diff denominatorsUse it for: Free printable graded practice questions (with answers) on fractions: addition diff denominators for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: divisionUse it for: Short worked-example video on fractions: division to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: divisionUse it for: Free printable graded practice questions (with answers) on fractions: division for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: equivalentUse it for: Short worked-example video on fractions: equivalent to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: equivalentUse it for: Free printable graded practice questions (with answers) on fractions: equivalent for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: expressing asUse it for: Short worked-example video on fractions: expressing as to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: expressing asUse it for: Free printable graded practice questions (with answers) on fractions: expressing as for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: fraction of an amountUse it for: Short worked-example video on fractions: fraction of an amount to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: fraction of an amountUse it for: Free printable graded practice questions (with answers) on fractions: fraction of an amount for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: improper to mixed numberUse it for: Short worked-example video on fractions: improper to mixed number to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: improper to mixed numberUse it for: Free printable graded practice questions (with answers) on fractions: improper to mixed number for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: mixed number to improperUse it for: Short worked-example video on fractions: mixed number to improper to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Fractions: multiplicationUse it for: Short worked-example video on fractions: multiplication to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Fractions: multiplicationUse it for: Free printable graded practice questions (with answers) on fractions: multiplication for drill or a quick check.
- VideoStarterCorbettmaths video: Fractions: orderingUse it for: Short worked-example video on fractions: ordering to model the method before practice or for flipped revision.
- 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.
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- 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.
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- VideoStarterCorbettmaths video: Graphs: stem and leaf (draw)Use it for: Short worked-example video on graphs: stem and leaf (draw) to model the method before practice or for flipped revision.
- 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.
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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.
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- VideoStarterCorbettmaths video: Linear graphs: gradient of a lineUse it for: Short worked-example video on linear graphs: gradient of a line to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Linear graphs: gradient of a lineUse it for: Free printable graded practice questions (with answers) on linear graphs: gradient of a line for drill or a quick check.
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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.
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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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- 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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- Corbettmaths practice questions: Volume: pyramidUse it for: Free printable graded practice questions (with answers) on volume: pyramid for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: FrustumUse it for: Short worked-example video on volume: frustum to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: FrustumUse it for: Free printable graded practice questions (with answers) on volume: frustum for drill or a quick check.
- VideoStarterCorbettmaths video: Volume: sphereUse it for: Short worked-example video on volume: sphere to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Volume: sphereUse it for: Free printable graded practice questions (with answers) on volume: sphere for drill or a quick check.
- VideoStarterCorbettmaths video: Geometric ProofUse it for: Short worked-example video on geometric proof to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Identities, Formula, Equations etcUse it for: Short worked-example video on identities, formula, equations etc to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Identities, Formula, Equations etcUse it for: Free printable graded practice questions (with answers) on identities, formula, equations etc for drill or a quick check.
- Corbettmaths practice questions: Intersecting Chord TheoremUse it for: Free printable graded practice questions (with answers) on intersecting chord theorem for drill or a quick check.
- VideoStarterCorbettmaths video: Composite functionsUse it for: Short worked-example video on composite functions to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Composite functionsUse it for: Free printable graded practice questions (with answers) on composite functions for drill or a quick check.
- VideoStarterCorbettmaths video: Frequency TreesUse it for: Short worked-example video on frequency trees to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Frequency TreesUse it for: Free printable graded practice questions (with answers) on frequency trees for drill or a quick check.
- VideoStarterCorbettmaths video: Set notationUse it for: Short worked-example video on set notation to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Set notationUse it for: Free printable graded practice questions (with answers) on set notation for drill or a quick check.
- VideoStarterCorbettmaths video: Venn DiagramsUse it for: Short worked-example video on venn diagrams to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Venn DiagramsUse it for: Free printable graded practice questions (with answers) on venn diagrams for drill or a quick check.
- VideoStarterCorbettmaths video: Function MachinesUse it for: Short worked-example video on function machines to model the method before practice or for flipped revision.
- Corbettmaths practice questions: Function MachinesUse it for: Free printable graded practice questions (with answers) on function machines for drill or a quick check.
- Corbettmaths practice questions: Money: BillsUse it for: Free printable graded practice questions (with answers) on money: bills for drill or a quick check.
- 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.