Course information
Students will investigate the properties of polynomial, rational, exponential, logarithmic, trigonometric, and radical functions and explore trigonometric identities. They will also develop techniques for combining functions and broaden their understanding of rates of change.
The following units are covered in this course:
- Functions: Transformation and Properties
- Polynomial Functions
- Polynomial Equations and Inequalities
- Rational Functions
- Exponential and Logarithmic Functions
- Trigonometric Functions
- Trigonometric Identities and Equations
- Operations on Functions
- Rates of Change
This course is considered prerequisite learning for the Calculus and Vectors Courseware.
Typical lesson structure
Each Courseware lesson normally corresponds to between one and three classroom lessons and consists of the sections below.
In this section, the information is presented using narrated slideshows. Key features throughout include the following interactive elements and learning aids:
- Investigation: A guided exploration to create or manipulate mathematical objects.
- Check Your Understanding: Practice questions for students to answer online. Feedback is provided, and students can keep trying variations of the same question until they have mastered the concept.
- Alternative Format: This page is a text version of the narrated slideshows and interactive elements.
Some of the questions and interactive explorations from the Watch section are reproduced here for quick access and to help reinforce the lesson goals.
This final section includes a set of extra problems for students to solve on paper. Answers are provided for all problems, and full solutions are provided for only the even-numbered problems. All the exercises, answers, and solutions in a unit are reproduced as the second-last item in the list of lessons for each unit.
A set of more challenging problems that extend the material, connect different lessons, and explore additional applications is provided as the last item in the list of lessons for each unit.