Precalculus
Welcome Precalculus students!
On this website you will find the homework assignments, worksheets, activities, projects, quiz and test dates, review guides and other necessary information to be successful in this course. I look forward to learning with you and benefit from a very productive school year!
Google Classroom PreCalculus P6 code: 7hfh6k2
TEXTBOOK
Use as a resource. You can get a copy at the bookstore
Pre Calculus: Graphical, Numerical, Algebraic 8th edition by Demana, Waits, Foley, and Kennedy
PRECALCULUS OUTLINE
Semester 1
1. Exponential and Logarithmic Functions: This chapter introduces exponential and logarithmic functions. Students simplify and evaluate exponential expressions with rational and irrational exponents and graph exponential functions and inequalities. In addition they model real-world situations using common and natural logarithms.
2. Relations, Functions and Graphs: In this chapter the students will determine whether a given relation is a functions and perform operations with functions. They learn how to graph functions, relations, inverses, and inequalities, analyze families of graphs, and investigate symmetry, continuity, end behavior and transformations of graphs.
3. Trigonometric Functions: This chapter reviews angles and angle measurement in degrees and builds on that knowledge to explore trigonometric functions. To begin their study of trigonometry, students examine trigonometric ratios defined using right triangles and investigate the trigonometric functions for an angle in standard position on the unit circle. Students then solve right triangles. Students also use the Law of
Sines and the Law of Cosines to solve other triangles and to find the areas of triangles.
Semester 2
4. Graphs of the Trigonometric Functions: This chapter reviews graphs of trigonometric functions and their inverses using radian and degree measure. Students also learn about amplitude, period, phase shift, and vertical shift. Applications include finding linear and angular velocity and writing trigonometric equations to model real life situations.
5. Trigonometric Identities and Equations: This chapter reviews the basic trigonometric identities. Students verify trigonometric identities, use sum and difference identities, and use double and half angles identities. Then the students solve trigonometric equations.
6. Analytic Geometry & Conic Sections: This chapter introduces rectangular coordinates and conic sections. Students use equations to identify important characteristics of each conic section. Then they use these characteristics to graph and identify parabolas, circles, ellipses, and hyperbolas.
7. Functions and Their Graphs: This chapter introduces all basic functions and analysis such as transformations, domain, range, continuity, intervals of increase/decrease, extrema, boundedness, asymptotes, etc.