Lesson: Forming Functions Mathematics • 9th Grade

In this lesson, we will learn how to form and derive the equation of a function from different situations.

Lesson Plan

Students will be able to

recognize function notation and how you can represent an output, say , in terms of an input, say (i.e., ),
interpret different scenarios to form functions,
determine the rule for a function given a set of inputs and outputs.

Lesson Worksheet

Q1:

Find an expression for the area of a square as a function of its diagonal length .

Q2:

A rectangular piece of land has a length m and an area of 2,775 m². Find a function to calculate the width and find the width when the length is 75 m.

Q3:

An oil spill grows with time such that its boundary is always a circle. Suppose that the radius is given by as a function of time . Express the area of the spill as a function of time.