Education Technology

Mathematics lessons for IB® Diploma Programme

Applications and Interpretation | Functions

Back in Time

Activity Overview

Students will explore the definition of a function through use of a graph, a set of ordered pairs and an input-output diagram.

Key Steps

Step 1

In the first problem, students will explore a position-vs.-time graph. After being introduced to the definition of a function, they will determine if the graph is a function of time, then update the graph to show a function.

Step 2

Then students will calculate the output values for given input values using the distance formula d = 0.5at2 for when a = 12 ft/s2. The first set of input values are for t and the second set of input values are for d.

Students will then explore using function notation on the calculator entering input values to find the output value. The given function is stored in the Y= screen.

Step 3

In the last problem, students will use the program MACHINE which acts like a function machine. When they enter an input value, it will return the output value. They are to determine the input value for the goal output and the mystery function.