This is everything you need to know for Edexcel GCSE Maths for the 'algebra' portion of the qualification
Slide 2
Notation, Vocabulary, and Manipulation
You must be able to: * Use and interpret algebraic manipulation, including ab in place of a × b, 3y in place of y + y + y and 3 × y, a^2 in place of a × a, and brackets * Substitute numerical values into formulae and expressions, including
scientific formulae * Use the concepts and vocabulary of expressions, equations,
formulae, identities, inequalities, terms and factors * Rearrange and simplify and manipulate algebraic expressions (including those involving
surds) by: ● collecting like terms
● multiplying a single term over a bracket
● taking out common factors ● factorising quadratic expressions of the form x
2 + bx + c, including the
difference of two squares ● simplifying expressions involving sums, products and powers, including
the laws of indices * Where appropriate, be able to interpret simple expressions as functions with inputs and outputs
Slide 3
Graphs
You must be able to: * Work with coordinates in all four quadrants
A9 * Plot straight-line graphs in the form y = mx + c, and use this equation to identify parallel lines, find the equation of the line through two fiven points, or through one point with a given gradient * Identify and interpret gradients and intercepts of linear functions graphically
and algebraically * Identify and interpret roots, intercepts, turning points of quadratic functions
graphically; deduce roots algebraically * Recognise, sketch and interpret graphs of linear functions, quadratic
functions, simple cubic functions, the reciprocal function y = 1/x where x ≠ 0 * Plot and interpret graphs (including reciprocal graphs) and graphs of
non-standard functions in real contexts to find approximate solutions to
problems such as simple kinematic problems involving distance, speed and
acceleration
Slide 4
Solving Equations and Inequalities
You must be able to: * Solve linear equations with unknown algebraically * Solve quadratic equations algebraically by factorising * Solve two simultaneous equations in two variables * Be able to use a graph to find approximate solutions when appropriate * Translate simple situations or procedures into algebraic expressions or
formulae, derive an equation, solve the
equation, and interpret the solution * Solve linear inequalities with variable; represent the solution set on a
number line
Slide 5
Sequences
You must be able to: * Generate terms of a sequence from either a term-to-term or a position-to-term
rule * Recognise and use sequences of triangular, square and cube numbers,
simple arithmetic progressions, Fibonacci type sequences, quadratic
sequences, and simple geometric progressions (r^n where n is an integer,
and r is a rational number > 0) * Deduce expressions to calculate the nth term of linear sequences