Students use the two function definition tools on the TI-30XPlus MathPrint calculator to neatly define the function f(x) and then g(x) for the gradient function using differentiation from first principles. By repeatedly decreasing the distance between the two points (limit) students can see the gradient also approaches a limit. This tool is then used to generate a list of gradient estimates with a view to establishing the rule for the gradient.

This activity includes a video tutorial.

In this activity students determine the approximate area under a curve using a variety of shapes including squares, rectangles (inner and outer rectangles), triangles and trapezia. An optional extension includes the use of the midpoint and Simpson's rule(s).

This activity includes a video tutorial.

In this activity model a linear relationship by fitting an appropriate line of best fit to a scatterplot and using it to describe and quantify associations related to time and altitude for a weather balloon. Students make predictions based on the model and check them using the associated video.

This activity includes a video tutorial.