Support · Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors
Support Describe the changing positions of an object by expressing its vector as a function of time using r(t) = x(t)i + y(t)j, or r = xi + yj where x and y are functions of time t
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Determine that the instantaneous speed of an object at time t can be approximated by the average speed between its position at time t and its position some time later, and explain how this approximation can be improved
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Use the notation dx/dt or ẋ to represent the velocity of a particle with displacement x from a point as a function of time t
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Estimate the instantaneous speed of an object from its distance–time graph
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.