3.12 Rates of change

G3 Gradient

 

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G3.1

interpreting the gradient of a straight line graph as a rate of change

 

G3.2

interpreting the gradient at a point on a curve as an instantaneous rate of change

understanding that some maximum and minimum points on curves occur where the gradient is zero

G3.3

estimating rates of change for functions from their graphs

 

G4 Average speed

 

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G4.1

knowing that the average speed of an object during a particular period of time is given by

 

G5 Speed and acceleration

 

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G5.1

knowing that the gradient of a distance–time graph represents speed and that the gradient of a velocity–time graph represents acceleration