Precalculus - Honors
This course is open to those college bound students who have successfully completed Advanced Algebra II and Advanced Geometry or Algebra III/Trigonometry. In addition, the student is proficient on the HSPA 11 as well as a B average or better in their prior math course.
This course is designed to prepare the student for college-level calculus by covering basic trigonometry and its application, function theory, and complex numbers and graphing. Advanced topics such as analytic geometry, limits and continuity, and introductory calculus are also taught.
Upon completion of this course the student may enter a freshman-level calculus course or Advanced Placement Calculus offered in the department.
Minimal proficiencies which must be mastered for the student to receive 5 credits for this course are:
- Identifying and graphing wrapping and trigonometric functions.
- Solving and proving trigonometric equations and inequalities and identities.
- Solving and graphing open sentences.
- Graphing and writing linear equations.
- Writing and graphing complex numbers in Cartesian and polar form.
- Determining and graphing functions and inverses.
- Graphing rational equations.
- Defining and graphing conic sections.
- Evaluating and graphing polynomial functions.
- Determining and graphing exponential and logarithmic functions.
- Proving by induction.
- Defining and determining continuity of function and their limits.
- Determining first and second derivatives and sketching graphs.
- Using derivative to solve verbal problems.
- Apply the concepts and methods of discrete mathematics to model and explore a variety of practical situations.
Ms. Rappoli