• PRE-CALCULUS

    Code:           M644 Full Year (12)  (1 credit)

    Prerequisite: Algebra 2 & Trigonometry

    (rank weight 1.00)

    Note:  This course is intended for students who wish to further their understanding of mathematical structure and analysis.

    Areas of Study Include:

    ·        Linear and Quadratic Functions                        

    -       Linear Functions and Models         

    -       Quadratic Functions and Their Graphs

    -       Quadratic Models              

    ·        Polynomial Functions                                                   

    -       Graphing Polynomial Functions                  

    -       Finding Maximums & Minimums of Polynomial Functions                                       

    -       Using Technology to Approximate Roots of Polynomial Functions

    -       Solving Polynomial Equations by Factoring                                                 

    -       General Results for Polynomial Equations                           

    ·        Functions                                 

    -       Functions                                                   

    -       Operations on Functions                                        

    -       Reflecting Graphs; Symmetry                                                         

    -       Periodic Functions; Sketching and Translating Graphs                                             

    -       Inverse Functions                                                   

    -       Functions of Two Variables                                                           

    -       Forming Functions from Verbal Descriptions

    ·        Exponents and Logarithms                                           

    -       Growth & Decay with Integral Exponents                           

    -       Growth & Decay with Rational Exponents                          

    -       Exponential Functions                                            

    -       The Number e & the Functione  

    -       Logarithmic Functions

    -       Laws of Logarithms

    -       Exponential Equations; Changing Bases                  

    ·        Trigonometric Functions

    -       Measurement of Angles                                         

    -       Sectors of Circles                          

    -       The Sine and Cosine Functions                                                      

    -       Evaluating and Graphing Sine and Cosine                                                               

    -       The Other Trigonometry Functions                                     

    -       The Inverse Trigonometry Functions           

    ·        Trigonometric Equations and Applications

    -       Simple Trigonometry Equations                                                      

    -       Sine and Cosine Curves                                         

    -       Modeling Periodic Behavior                                               

    -       Relationships Among Functions                                          

    -       Solving More Difficult Trigonometry Equations                                                                   

    ·        Triangle Trigonometry              

    -       Areas of a Triangle                                    

    -       Laws of Sines                                                                    

    -       Laws of Cosines                                                                

    -       Applications of Trigonometry to Navigation & Surveying                                         

    ·        Trigonometric Addition Formulas                     

    -       Formulas for                                                

    -       Formulas for                                          

    -       Double-Angle and Half-Angle Formulas                                         

    -       Solving Trigonometry Equations                                                                  

    ·        Polar Coordinates and Complex Numbers

    -       Polar Coordinates and Graphs

    ·        Limits, Series, and Iterated Functions               

    -       Limits of Functions                         

    -       Graphs of Rational Functions                                                         

    Supp:  Reimann Sums  

    -       Using Technology to Approximate the Area Under a Curve

    -       Power Series                     

    ·        An Introduction to Calculus      

    -       The Slope of a Curve

    -       Using Derivatives in Curve Sketching                                             

    -       Extreme Value Problems    

    -       Velocity and Acceleration                          

    ·        Optional Topic if Time:

    -       Matrices

    -       Matrix Addition and Scalar Multiplication

    -       Matrix Multiplication

    -       Applying Matrices to Linnear Systems

    -       Communication Matrices

    -       Transition Matrices

    -       Transformation Matrices          

    Assessment:  Pre-Calculus students will complete a project or take a district-wide exam at the end of the 2nd quarter and take a district-wide final exam in June.

     

    Textbook: Precalculus