1. Lesson 5

Mathematics 20-1 Module 3

Module 3: Quadratic Functions

 

Lesson 5: Modelling Problems with Quadratic Functions

 

Focus

 

This is a photo of a football player catching a ball.

Hemera/Thinkstock

 

A high school football player catches a perfectly thrown pass near the end zone. The quarterback knows physically how to throw the football right to that spot because of careful and consistent practice over an extended period of time.

 

The parabolic path of the football, the trajectory, can be modelled and predicted using quadratic functions. Your skill at modelling, predicting, and analyzing situations using quadratic functions can also be enhanced by careful and consistent practice. That is what this lesson is all about.

 

Outcomes

 

At the end of this lesson, you will be able to

  • write a quadratic function that models a given situation and explain any assumptions made

  • solve a problem, with or without technology, by analyzing a quadratic function
Lesson Questions

 

You will investigate the following questions:

  • How are quadratic functions developed and used to model real-life situations?

  • What assumptions are appropriate to model a situation using quadratic functions?
Assessment


Your assessment may be based on a combination of the following tasks:

  • completion of the Lesson 5 Assignment (Download the Lesson 5 Assignment and save it in your course folder now.)

  • course folder submissions from Try This and Share activities

  • additions to Module 3 Glossary Terms and Formula Sheet

  • work under Project Connection