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# KS3 Mathematics

#### Year 7

 TERM Relevant number skills are taught continuously in appropriate places AUTUMN CORE EXTENSION Sequences Symbolism for sequences eg u2 or un+1 Linear (arithmetic) sequences from term-to-term rules Linear (arithmetic) sequences from position-to-term rules Nth term of a simple arithmetic sequence from practical contexts Simple functions algebraically and in mappings or on a spreadsheet Inverse of a linear function Fractions Recurring decimals as fractions Convert a fraction to a decimal Order fractions Add/subtract fractions Multiply/divide fractions Cancel fractions Calculate fractions of quantities (fraction answers) Multiply and divide integer by fraction Understand equivalence of simple algebraic fractions       Recognise when fractions or percentages are needed to compare proportions; solve problems involving percentage changes Probability Use probability scale from 0 to 1 Probabilities and equally likely outcomes Listing outcomes Language of probability and diagrams for probability Compare estimated experimental probabilities with theoretical probabilities Interpret results involving uncertainty and prediction Know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving problems Geometry Vocabulary, notation and labelling conventions for lines, angles and shapes Sum of angles at point, on straight line and in triangle, vertically opposite angles, alternate and corresponding angles, Draw regular polygons Use of angle, side and symmetry properties of triangles and quadrilaterals giving reasons Understand proof Sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons, interior and exterior angles of regular polygons Expressions and Equations Apply BIDMAS to algebra Arithmetic of negative numbers Simplify algebraic expressions Expand brackets Linear equations (unknown on either or both sides, without and with brackets) Substitute positive integers into expressions involving small powers, e.g. 3x2 + 4 or 2x3 Simplify by common factor   Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equation, positive or negative solution)