Ratio, proportion and rates of change
- An Overview — the big picture, the five methods and the common mistakes
The 16 National Curriculum subtopics
- R1 · Units and Compound Units — converting standard units (length, area, volume, mass, time) and compound units
- R2 · Scale Factors, Scale Diagrams and Maps — map scales, scale drawings and bearings
- R3 · One Quantity as a Fraction of Another — including fractions greater than 1
- R4 · Ratio Notation and Simplifying — simplest form, 1:n and n:1, combining ratios
- R5 · Dividing a Quantity in a Ratio — sharing, recipes, mixtures and concentrations
- R6 · Multiplicative Relationships — expressing a link as a ratio, fraction or multiplier
- R7 · Proportion as Equality of Ratios — cross-multiplication, unitary method, best buys
- R8 · Ratios, Fractions and Linear Functions — turning ratios into equations and graphs
- R9 · Percentages and Percentage Change — increase, decrease, reverse percentages, simple interest
- R10 · Direct and Inverse Proportion — recognising and solving both types
- R11 · Compound Measures — speed, density, pressure, rates of pay, unit pricing
- R12 · Similar Shapes: Length, Area and Volume — scale factors
- R13 · Equations of Direct and Inverse Proportion — y = kx, etc.
- R14 · Gradient as a Rate of Change — reading rates from real-life graphs
- R15 · Instantaneous Rates of Change — chords, tangents and areas under graphs
- R16 · Growth and Decay — compound interest, depreciation and iterative processes
Each page contains step-by-step explanations, several worked examples and ten practice questions with fully worked solutions. All pages are self-contained HTML files that can be downloaded and used offline.