Topics explained
Years 8 to 10Pythagoras’ theoremThe formula, finding any side, word problems and practice.Years 9 and 10SOH CAH TOA (trigonometry)Labelling sides, choosing sin, cos or tan, finding sides and angles.Years 8 to 10Index lawsAll 7 laws of indices with examples, plus fractional indices.Years 9 to 10ASurdsSimplifying, adding, multiplying and rationalising surds.Year 10Simultaneous equationsSubstitution, elimination and graphing, with a solver.Years 8 to 10GradientFrom two points, a graph or an equation, with a calculator.Year 10A3D PythagorasSpace diagonals, pyramids and cones.
Calculators with working out
CalculatorPythagoras calculatorFind the hypotenuse or a missing side, with the working.CalculatorTrigonometry calculatorFind a missing side or angle with SOH CAH TOA, with the working.CalculatorQuadratic formula calculatorExact answers in surd form, plus decimals, with the working.CalculatorStandard deviation calculatorMean, population and sample standard deviation, with the working.CalculatorSimultaneous equations solverTwo linear equations, solved by elimination, with exact fractions.CalculatorGradient calculatorGradient, equation of the line, midpoint and distance from two points.