GCSE (9-1) content Ref. Subject content All GCSE maths learners should have confidence and competence to… Foundation tier learners should also be able to… Revision notes Tick when achieved! 1.03 Combining arithmetic operations 1.03a Priority of operations Know the conventional order for performing calculations involving brackets, four rules and powers, roots and reciprocals. 1.04 Inverse operations 1.04a Inverse operations Know that addition and subtraction, multiplication and division, and powers and roots, are inverse operations and use this to simplify and check calculations, for example in reversing arithmetic in “I’m thinking of a number” or “missing digit” problems. e.g. [see also Calculation and estimation of powers and roots, 3.01b] OCR 2 Fractions, Decimals and Percentages 2.01 Fractions 2.01a Equivalent fractions Recognise and use equivalence between simple fractions and mixed numbers. e.g.
2.01b Calculations with fractions Add, subtract, multiply and divide simple fractions (proper and improper), including mixed numbers and negative fractions. e.g. Carry out more complex calculations, including the use of improper fractions. e.g. 2.01c Fractions of a quantity Calculate a fraction of a quantity. e.g. of £3.50 Express one quantity as a fraction of another. [see also Ratios and fractions, 5.01c] Calculate with fractions greater than 1. 2.02 Decimal fractions 2.02a Decimals and fractions Express a simple fraction as a terminating decimal or vice versa, without a calculator. e.g. Understand and use place value in decimals. Use division to convert a simple fraction to a decimal. e.g. 2.02b Addition, subtraction and multiplication of decimals Add, subtract and multiply decimals including negative decimals, without a calculator. 2.02c Division of decimals Divide a decimal by a whole number, including negative decimals, without a calculator. e.g. Without a calculator, divide a decimal by a decimal. e.g. 2.03 Percentages
6.01 Algebraic expressions 6.01a Algebraic terminology and proofs Understand and use the concepts and vocabulary of expressions, equations, formulae, inequalities, terms and factors. Recognise the difference between an equation and an identity, and show algebraic expressions are equivalent. e.g. show that Use algebra to construct arguments. 6.01b Collecting like terms in sums and differences of terms Simplify algebraic expressions by collecting like terms. e.g. 6.01c Simplifying products and quotients Simplify algebraic products and quotients. e.g. [see also Laws of indices, 3.01c] 6.01d Multiplying out brackets Simplify algebraic expressions by multiplying a single term over a bracket. e.g. Expand products of two binomials. e.g. 6.01e Factorising Take out common factors. e.g. Factorise quadratic expressions of the form . e.g. 6.02 Algebraic formulae
10.04b Cones and spheres Calculate the surface area and volume of spheres, cones and simple composite solids (formulae will be given). 10.04c Pyramids Calculate the surface area and volume of a pyramid (the formula area of base × height will be given). 10.05 Triangle mensuration 10.05a Pythagoras’ theorem Know, derive and apply Pythagoras’ theorem to find lengths in right-angled triangles in 2D figures. 10.05b Trigonometry in right-angled triangles Know and apply the trigonometric ratios, sinθ, cosθ and tanθ and apply them to find angles and lengths in triangles in 2D figures. [see also Similar shapes, 9.04c] 10.05c Exact trigonometric ratios Know the exact values of sinθ and cosθ for θ = 0°, 30°, 45°, 60° and 90°. Know the exact value of tanθ for θ = 0°, 30°, 45° and 60°. GCSE (9-1) content Ref. Subject content All GCSE maths learners should have confidence and competence to… Foundation tier learners should also be able to… Revision notes Tick when achieved! OCR 11 Probability