New GCSE Maths Ratio

New GCSE Maths Ratio

1. Ratio, proportion and rates of change

   • R2 - use scale factors and scale diagrams
     • Use maps
   • R 3 - express one quantity as a fraction of another,
   • R1 - change freely between related standard units and compound units
     • time/distance and speed
     • volume mass and density
     • rates of pay
   • R5 - divide an amount into a given ratio
   • R6 - express a multiplicative relationship between two quantities as a ratio or a fraction
   • R4 - use ratio notation
     • simplifying ratios
   • R9 - define percentage as out of 100
     • write percentages and percentage changes as a fraction or a decimal
     • express one quantity as a percentage of another;
     • compare two quantities using percentages;
     • work with percentages greater than 100%
     • solve problems involving percentage change
   • R7 - understand and use proportion as equality of ratios
   • R10 - solve problems involving ratio
     • Solve problems using inverse ratio
   • R11 - use compound units such as speed, rates of pay, unit pricing, density and pressure
   • R8 - change from ratios to fractions or fractions to ration
     • change from ratio to linear functions
   • R14 - interpret the gradient of a straight line graph as a rate of change;
     • recognise and interpret graphs that illustrate direct and inverse proportion
   • R12 - compare lengths, areas and volumes using ratio notation;
     • make links to similarity
   • R16 - set up, solve and interpret the answers in growth and decay problems
     • compound interest
   • R13 - understand how ratios are proportional to each other
     • Inverse proportion: that X is inversely proportional to Y is equivalent to X is proportional to 1/Y; c
     • create and use equations that describe direct and inverse proportion