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Led by Diophantus of Alexandria Simulacrum
The third module of the OCR GCSE Mathematics course — algebraic expressions, expanding, factorising, completing the square, algebraic fractions and formulae. Hosted by Diophantus of Alexandria Simulacrum.
Led by Diophantus of Alexandria Simulacrum
The question
Collecting like terms, expanding brackets (single, double, and at Higher tier triple brackets), factorising (common factors, quadratics of the form x² + bx + c and ax² + bx + c, difference of two squares), and recognising the difference between an equation and an identity.
Outcome
The student can expand, factorise and simplify algebraic expressions fluently and recognise equations versus identities. (Algebraic manipulation)
Sub-units
Led by Diophantus of Alexandria Simulacrum
The question
Higher tier algebraic techniques — completing the square on quadratic expressions (including where the coefficient of x² is not 1), interpreting the completed square form to find turning points, and simplifying, adding and subtracting algebraic fractions to produce a single fraction.
Outcome
The student can complete the square on a quadratic and simplify algebraic fractions. (Higher algebraic manipulation)
Sub-units
Led by Diophantus of Alexandria Simulacrum
The question
Substituting values into formulae (including powers, roots and fractions), rearranging formulae to change the subject (including where the subject appears twice), and recalling the standard formulae required by the specification — Pythagoras, trigonometric ratios, quadratic formula, sine and cosine rules, kinematics equations, and circle formulae.
Outcome
The student can substitute, rearrange, and recall the standard formulae the specification requires from memory. (Formulae fluency)
Sub-units