Advanced Algebra (B+ or better)
Precalculus is a comprehensive study of mathematical concepts and functions. This course aims to deepen the understanding of concepts learned in Advanced Algebra; many course topics start with previous learning and then deepened. The course revisits function concepts such as domain and range, concavity, function notation, and transformations of functions. The main themes are investigating relationships between variables and how changes in one variable may affect the change in another variable.
One of the main goals is to develop deep conceptual understanding and flexible thinking. The course focuses on the use of analytical skills, and students complete much of the work without a calculator. Students engage with various problem sets that require choosing appropriate solution methods.
The Precalculus course will enable the student to:
- Work with a variety of functions and their inverses, with specific attention to the following function types: polynomial, exponential, logarithmic, and trigonometric functions.
- Understand functions from numerical, graphical, analytical, and verbal standpoints.
- Use technology as a tool to facilitate learning and to communicate mathematical ideas effectively.
- Model real-world phenomena using the functions studied.
A variety of ongoing and frequent assessments, both formative and summative, will be used to develop students’ ability to communicate and apply their understanding of topics being studied.