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Key Stage 3 - Algebra
Standard KS3.OA.1.1 - Analyze and identify the property of multiplication shown in the equation.
Algebra • Pupils should be taught to: - use and interpret algebraic notation, including: • ab in place of a x b • 3y in place of y + y + y and 3 x y • aÂ² in place of a x a, aÂ³ in place of a x a x a; aÂ²b in place of a x a x b • a/b in place of a Ã· b • coefficients written as fractions rather than as decimals • brackets - substitute numerical values into formulae and expressions, including scientific formulae - understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors - simplify and manipulate algebraic expressions to maintain equivalence by: • collecting like terms • multiplying a single term over a bracket • taking out common factors • expanding products of two or more binomials - understand and use standard mathematical formulae; rearrange formulae to change the subject - model situations or procedures by translating them into algebraic expressions or formulae and by using graphs - use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement) - work with coordinates in all four quadrants - recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane - interpret mathematical relationships both algebraically and graphically - reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically - use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations - find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs - generate terms of a sequence from either a term-to-term or a position-to-term rule - recognise arithmetic sequences and find the nth term - recognise geometric sequences and appreciate other sequences that arise.