• Pre-Calculus

    Course Syllabus


    Generally, the class content will be covered as follows:


    1st Quarter


    Chapters 1, 2, 4, and 5 


    2nd Quarter


    Chapters 6 and 7 

    3rd Quarter


    Chapters 3 and 4

    4th Quarter


    Chapters 11 and 13 




    Chapter 1, 2, & 4:  Functions

    • Interval Notation
    • Increasing or decreasing intervals
    • Find the maximum/minimum value of a function
    • Find the rate of change & difference quotient of a function
    • Identify when the function is positive or negative
    • Identify even and odd function
    • Domain & Range
    • Graphing families of functions through Transformations
    • Inverse Functions
    • Composition of Functions 


    Chapter 5:  Trigonometric Functions

    • Convert between degrees and radians and understand their relationship
    • Find the exact values of trigonometric functions given a point on the unit circle, the value of one trigonometric ratio, or a special angle
    • Graph trigonometric functions using amplitude, period, and phase shift


    Chapter 6:  Analytic Trigonometry

    • Evaluate inverse trig functions
    • Establish (prove) trigonometric identities
    • Evaluate trig functions using Sum & Difference Formulas
    • Evaluate trig functions using Double- & Half-Angle Formulas
    • Evaluate using Product-to-Sum or Sum-to-Product Formulas
    • Solve trigonometric equations


    Chapter 7:  Application of Trigonometric Functions

    • Solving problems through right triangle trigonometry
    • Solving triangles using the Law of Sines
    • Solving triangles using the Law of Cosines
    • Finding the area of a triangle using trigonometry and Heron's Formula 


    Chapter 3:  Polynomial & Rational Functions

    • Domain & Range of polynomial & rational functions
    • Zeros of a polynomial function; real and complex
    • Turning points, local maxima/minima
    • End behavior 
    • Asymptotic behavior
    • Multiplicity
    • Using intervals to solve inequalities involving polynomial or rational functions


    Chapter 4:  Exponential & Logarithmic Functions

    • Equations and Inequalities
    • Distance
    • Constant Increasing and Decreasing Examples – Flight Plans, etc.
    • Domain and Range


    Chapter 11:  Sequences & Series

    • Students will understand interest and the time-value of money
    • Simple and Compound Interest
    • Present and Future Value of Annuities
    • Mortgages
    • Financing (APR)


    Chapter 13:  Limits

    • Compare and Contrast Permutations and Combinations
    • Calculate the number of permutation of n objects taken r at a time.
    • Calculate the number of combinations of n objects taken r at a time.
    • Define and five contextual examples of complementary, dependent, independent, and/or mutually exclusive
    • Given two or more events in a problem setting, determine if the events are complementary, dependent,
    • independent, and/or mutually exclusive.
    • Find Conditional Probabilities for Dependent, Independent, and Mutually exclusive events
    • Represent and Calculate probabilities using Venn diagrams and probability tress.