explore average and instantaneous rate of change in a variety of practical contexts
use a numerical technique to estimate a limit or an average rate of change
examine the behaviour of the difference quotient [𝑓(𝑥+ℎ)−𝑓(𝑥)]/h ℎ as ℎ→0 as an informal introduction to the concept of a limit
differentiate simple power functions and polynomial functions from first principles
interpret the derivative as the instantaneous rate of change
interpret the derivative as the gradient of a tangent line of the graph of 𝑦=𝑓(𝑥)
