## High School Math Buddy

**Topic** **Detail**

**Number** (Calculator and Non – Calculator):

Understanding numbers: decimals, fractions & percentages, recurring decimals, odd numbers, powers & roots, positive & negative numbers, factors & primes, product of primes; LCM & HCF, upper & lower bounds; mixed numbers, reciprocals & simplifying fractions; value, conversions & ratios; determining significant figures; calculating distance, speed & time; rounding & estimating; inverse & direct proportion, calculating percentage increases & decreases, compound interest, profit & loss; standard form; rationalisation & surds

**Data Handling** (Calculator and Non – Calculator):

Collecting, recording & representing data, arranging & analysing data; cumulative frequency tables & curves, histograms, scatter diagrams, space diagrams, tree diagrams, frequency diagrams, pictograms, composite bar charts, stem & leaf diagrams, plot boxes & pie charts; determining the mode, median & mean; grouped frequency calculations; averages & range; using probability; combined events, expectation & two way tables, surveys & data analysis, correlations & variables

**Algebra **(Calculator and Non – Calculator):

Expressions & formulae; equations – solving, rearranging & simultaneous equations, identities, quadratics & factorising; inequalities; Trial & improvement; understanding graphs & their equations – straight, parallel & perpendicular lines, curves, circles & gradient intersections; cubic functions; patterns & Sequences, the nth term; 3D grids & understanding coordinates; using information to plot representative graphs; vertex positioning, transformations, gradients, direct & indirect proportions; number lines, line segments & coordinates, conversion graphs, speed/distance/time graphs; problem solving

**Geometry** (Calculator and Non – Calculator):

Understanding shapes (regular & compound); perimeter & area, angles – connection to parallel lines, on a straight line, at a point etc., interior & exterior angles; angles of elevation & depression; triangles & Pythagoras’ theorem, polygons, circles & sectors; lines & planes of symmetry, transformations, rotation & reflections, factors of enlargement, congruency & tessellations; 3D shapes, surface area, volume & cross sections; conversions; speed/distance/time; quadrilaterals; bearings, vectors, scales & drawing; using a ruler & compass; loci

All content has been written to the highest standard by Colin Stobart, since 2008 Colin has been Head of Mathematics at Sherborne International, a part of Sherborne School in Dorset. Colin is dedicated to his subject & has striven alongside Revision Buddies to ensure that this content is in line with the requirements of the Edexcel, OCR & AQA GCSE exam boards.