**Precalculus**

2022-2023 Tentative Course Overview

*This syllabus is subject to revision*

__Course Goals and Contents:__

Precalculus brings a marvelous collection of topics to each student’s foundation in mathematics. The course includes inverse and

composite functions, the conic sections of circle, parabola and ellipse, a deeper investigation into trigonometry, the principles and applications of exponential and logarithmic functions, and sequences and series. This is a course in which students can make exciting mathematical discoveries using the skills developed in Algebra 2.

__Prerequisite:__

Students shall be proficient in the skills listed in the Algebra 2 course description.

__Topic Areas:__

- Functions: Inverse and composite functions, tests for inverse functions, applications of composite functions; graphing functions on a graphing calculator.
- Conic sections: Circles, parabolas, ellipses, and their characteristics; transformations of conics.
- Trigonometry: The unit circle, radian measure, inverse trigonometric functions, law of sines, law of cosines.
- Exponential functions and logarithms: Properties of exponential functions, exponential growth, compounded interest; properties of common logs, natural logs, Richter scale measure, radioactive decay calculation.
- Sequences and series: Generating and solving finite (and infinite) arithmetic and geometric sequences; sigma and series notations.

__Typical Class Session:__

**Review**: Homework is assigned at the end of each class session. At the start of the following session the teacher provides a short

review and then offers to work through problems the students may not have been able to solve.

**Homework is collected.**

**New Instruction**: New content is presented with discussion, questions, and whiteboard examples. Students participate in solving additional problems at the whiteboard and at their desks.

**Hands-On Activity:**One of the following is typically done: math puzzles, training on land surveying equipment, math games,

mechanical drafting problems and other math challenges. Students may work individually or in groups.

**Quiz:**A very short quiz provides a quick assessment of the student’s grasp of the new material.

**Homework:**Homework on the new material is assigned. Students are given a few minutes to begin the assignment.

__Grading:__

20% for classroom participation, 20% for homework completion, and 60% for quizzes.

__Required materials:__

Calculator: Texas Instruments model TI-84.

Text: Houghton Mifflin’s

*Precalculus*, by Larson and Hostetler. (Consult instructor for correct ISBN.)