初級微積分：第 1 季度

This is the first quarter of Pre-Calculus.  This course is rigorous and should only be taken by students who have successfully completed Algebra 2.  This class is best for self-motivated students who like math and will work hard both in and outside of class.  In this quarter we will focus on functions and their graphs.  Graphing calculators will be utilized (we will use Desmos.com) which is a free resource.

Topics to be covered in Pre-Calculus:  Quarter 1
Weeks 1 & 2:   Critical Points, Increasing/Decreasing Intervals, Continuity, End Behavior, Symmetry, Piecewise Functions
Week 3:  Parent Functions & Transformations
Week 4: Composition of Functions, Piecewise & Inverse Functions
Week 5: Zeros of Polynomial Functions, Dividing Polynomials
Week 6: Fundamental Theorem of Algebra & Rational Root Theorem
Week 7: Graphing Rational Functions
Week 8:  End of Quarter Review


Material will be presented in a straightforward "I do, we do, you do" approach.  Students will first see a detailed example before working problems with instructor guidance before solving problems on their own. The students will be given opportunities to try the skills in class with instructor guidance and then will practice on their own after class.  Required homework will be assigned after each class session and will take approximately 45 minutes to complete daily (2-4 hours a week).  Answer keys will be posted to the homework assignments so students may assess their own progress. 

 Optional quizzes and tests will also be assigned throughout the course.  A final grade can be assigned at parent/guardian request.