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Mathematics // 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
Types of angles (age 8+)Use and interpret standard geometric diagram conventions: mark right angles with a small square, equal lengths with single or double tick marks, and equal…
Ages 8 to 12RepresentationMathematics // Geometry
Transformations on a gridRepresent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines…
Ages 8 to 12RepresentationMathematics // 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
Types of angles (age 11+)Use conventional geometric terms and notation to describe, sketch, and draw points, lines, parallel and perpendicular lines, right angles, regular polygons, and…
Ages 11 to 13LanguageMathematics // Geometry
Properties of triangles and quadrilateralsDerive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and…
Ages 11 to 13ConceptMathematics // 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
3-D shapes (age 11+)Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems…
Ages 11 to 13ConceptMathematics // Geometry
Similarity and enlargementUnderstand similarity as a relationship where one shape is an enlargement of another; construct similar shapes by enlargement with a given scale factor and…
Ages 12 to 14ConceptMathematics // 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
Angles in triangles (age 12+)Know and use the criteria for triangle congruence (SSS, SAS, ASA, RHS), use standard labelling conventions for sides and angles of triangle ABC, and determine…
Ages 12 to 14ConceptMathematics // 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
Angles with parallel linesUnderstand and use the relationship between parallel lines cut by a transversal: corresponding angles, alternate interior angles, and co-interior (same-side…
Ages 12 to 14ConceptMathematics // 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 14MethodMathematics // Geometry
Trigonometry basicsUse the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given…
Ages 13 to 15MethodMathematics // Multiplication & Division
Using inverse operationsRecognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations
Ages 11 to 12ConceptMathematics // Multiplication & Division
Priority of operationsUse conventional notation for the priority of operations including brackets, powers, roots, and reciprocals; apply BIDMAS/BODMAS consistently to evaluate…
Ages 11 to 12ConceptMathematics // Multiplication & Division
Factors, multiples, and primes (age 11+)Use the concepts and vocabulary of prime numbers, factors, multiples, common factors, common multiples, highest common factor (HCF), lowest common multiple…
Ages 11 to 12Concept