Students will investigate the properties of polynomial, rational, exponential, logarithmic, trigonometric and radical functions and develop facility in applying these properties. This courseware is considered prerequisite learning for the Calculus and Vectors courseware.
Students will investigate the derivatives of polynomial, rational, exponential, logarithmic, and trigonometric functions, and apply these to the modelling of real-world relationships. Integral Calculus and its applications will be introduced. Students will solve problems involving vectors, lines and planes in three-space. This courseware is intended for students who have studied or are currently studying the Advanced Functions and Pre-Calculus courseware.
Students expand their knowledge of operations to include negative numbers and fractional quantities. Basic algebra is introduced with the addition of variables into topics including patterning, and proportional reasoning. Students make connections between geometry and algebra while studying properties of polygons, circles, and the Pythagorean theorem.
The courseware is currently 40% complete. New units will be added as they are developed over the coming months.