S3 Notes: Presented in order taught, coded by level

Rounding decimals Powers & roots Significant figures Scientific notation (Standard Form) Tolerance

Positive & negative numbers Adding & subtracting negative numbers Multiplying integers Dividing integers Sets of numbers

Converting percentages to fractions Converting fractions, decimals & percentages Equivalent fractions Fractions of amounts Mixed & improper fractions Adding & subtracting fractions Multiplying fractions Dividing fractions

Basic percentages Converting fractions, decimals & percentages Using 1% & 10% Using the calculator Percentage increase & decrease Percentage of a total Compound interest Reverse percentage

Ratio Simplifying ratios Share in a ratio Use a ratio Proportion Direct proportion Indirect proportion

Banking & Finance Profit & loss Foreign Exchange Pay Overtime National Insurance Income tax Hire Purchase Insurance Loans Utility bills Simple interest Compound interest Benefits & allowances

Calculating time intervals Distance, Speed & Time Convert units of time Distance–time graphs

Area of triangles & quadrilaterals Area of a circle Area of composite shapes Surface area Volume of cubes & cuboids Volume of composite shapes Volume of a prism Volume of a cylinder Volume of a sphere Volume of a cone

Sequences: finding rules Triangular numbers Create formulae Evaluate formulae Solve equations Solve inequations Changing the subject of a formula

Gradient formula Equations & graphs Drawing a straight line from an equation Finding equations from straight line graphs

Collecting like terms Simplifying expressions Solving equations PowerPoint Inequalities Use distributive law Construct equations Common factors Removing brackets FOIL Factors & HCF Factorising Difference of two squares

Simultaneous equations: graphical method Simultaneous equations: solving algebraically

The theorem of Pythagoras Finding the hypotenuse Finding a short side Converse of Pythagoras

Opposite, Adjacent & Hypotenuse Using Tan to find angle Using Tan to find side Using Sine to find angle Using Sine to find side Using Cosine to find angle Using Cosine to find side Which ratio?

Radius, Diameter & Circumference Area of a circle Arcs & Sectors Chords & related theorems Pythagoras in a circle Angle in a semicircle

Using scales Reading scales Compass points & bearings Enlargements & reductions Map scales Angles of elevation & depression

Enlargements & reductions Scale factor Similar shapes Similar triangles Scaled area & volume

Interactive – Reflections Interactive – Rotational Symmetry

Bar charts Pie charts Scattergraphs Frequency tables Mean, Median, Mode & Range Line Graphs Stem & leaf diagram Back‑to‑back stem & leaf diagrams Grouped frequency tables Line of best fit Cumulative Frequency Relative Frequency 5‑Figure Summary & Boxplots Interquartile range Standard deviation Probability Mutually Exclusive Events The Addition Law The Multiplication Law Tree Diagrams