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Mathematics // Algebra
Coordinates (age 11+)Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely
Ages 11 to 12MethodMathematics // Algebra
Solving Linear EquationsUse algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on…
Ages 11 to 14MethodMathematics // Algebra
Collecting Like TermsSimplify algebraic expressions by collecting like terms — combine terms with the same variable and power (e.g., 3a + 2b + 5a = 8a + 2b) while maintaining…
Ages 11 to 12MethodMathematics // Algebra
Expanding Single BracketsExpand (multiply out) a single term over a bracket using the distributive property, e.g., 3(2x + 5) = 6x + 15; expand expressions involving negative multipliers
Ages 11 to 13MethodMathematics // Algebra
Substituting into FormulaeSubstitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and…
Ages 11 to 12MethodMathematics // Algebra
Generating SequencesGenerate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is…
Ages 11 to 14MethodMathematics // Algebra
Simple formulaeUnderstand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable
Ages 12 to 14MethodMathematics // Algebra
Nth-Term RulesFind the nth-term expression for an arithmetic sequence by identifying the common difference and the zero-term, and use it to determine any term in the sequence…
Ages 12 to 14MethodMathematics // Algebra
Factorising ExpressionsFactorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x +…
Ages 12 to 13MethodMathematics // Algebra
Estimating answers (age 13+)Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical…
Ages 13 to 14MethodMathematics // Algebra
Expanding Double BracketsExpand products of two or more binomials, e.g., (x + 3)(x - 2) = x² + x - 6, using the grid method or FOIL; simplify the result by collecting like terms
Ages 13 to 14MethodMathematics // Data & Statistics
Comparing measurementsDescribe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range)…
Ages 11 to 13MethodMathematics // Fractions
Multiplying fractions (age 11+)Interpret fractions and percentages as operators — find a fraction or percentage of an amount by multiplying, understanding that 'of' means multiply (e.g., 3/4…
Ages 11 to 12MethodMathematics // Fractions
Mixed & Improper FractionsUse the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and…
Ages 11 to 13MethodMathematics // Fractions
Decimals and fractions (age 11+)Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8); convert fluently between the two forms
Ages 11 to 13MethodMathematics // Fractions
Dividing fractionsDivide a fraction by a fraction using the 'keep-change-flip' method and visual models; interpret and solve word problems involving division of fractions by…
Ages 11 to 12MethodMathematics // Geometry
Area and volume formulaeDerive and apply formulae for the area of triangles, parallelograms, and trapezia, and for the volume of cuboids and other prisms (including cylinders)…
Ages 11 to 14MethodMathematics // Geometry
Angle sums in triangles and polygonsDerive and use the angle sum in a triangle (180°), use it to deduce the angle sum in any polygon ((n−2) × 180°), and calculate interior and exterior angles of…
Ages 11 to 14MethodMathematics // Geometry
Coordinate TransformationsIdentify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is…
Ages 11 to 14MethodMathematics // Geometry
Measuring angles (age 11+)Draw and measure line segments and angles accurately using ruler and protractor, and interpret scale drawings to extract real measurements
Ages 11 to 13MethodMathematics // Geometry
Understanding angles (age 11+)Apply the properties of angles at a point (360°), on a straight line (180°), and vertically opposite angles to find unknown angles in multi-step problems
Ages 11 to 13MethodMathematics // Geometry
Circles: Circumference & AreaCalculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite…
Ages 12 to 14MethodMathematics // Geometry
Understanding angles (age 12+)Use ruler and compasses to perform standard constructions: perpendicular bisector of a line segment, perpendicular to a line from or at a given point, and…
Ages 12 to 14MethodMathematics // Geometry
Applying Pythagoras' theoremApply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts
Ages 13 to 14Method