Module 6: Module 6 | MoodleHUB 🎓

1. Module 6

Mathematics 30-2 Module 6

Module 6 Introduction

Many patterns in nature regularly repeat themselves. Consider temperatures throughout the year. In summer, temperatures are high. Temperatures slowly drop to become low in winter; then the temperatures gradually increase to become warmest again in summer. In this module you will explore some periodic functions—these are functions that allow you to mathematically represent a pattern like daily temperatures.

This collage represents four photos of the same tree in the four seasons.

iStockphoto/Thinkstock

In Module 6 you will investigate the following question: How can a sinusoidal function be used to model and solve cyclical problems?

To investigate this module question, you will focus on the following lessons and questions.

Lesson	Topic	Lesson Questions
1	Radian Measure	What relationship exists between degree and radian measures?
2	Graphs of Sinusoidal Functions	How can characteristics of a sinusoidal graph be described?
2	Graphs of Sinusoidal Functions	How can sinusoidal graphs be used to model data?
3	Equations of Sinusoidal Functions	How are the characteristics of a sinusoidal function related to its equation?
4	Modelling Data with Sinusoidal Functions	How can sinusoidal data be represented using a sinusoidal function?

In the Module 6 Project you will explore how the number of daylight hours changes as the season varies and how the hours of daylight change depending on where you are in the world.

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