The first semester begins with a review of Algebra I including graphing lines, solving linear equations and inequalities as well as matrix operations.  An extensive look at quadratic functions equips the students with the ability to solve real world problems.  Students learn the basics of graphing using kinesthetic learning by physically “becoming” various quadratic functions.  To solve larger degree polynomials, students use factoring and synthetic division. 
 

The new material of radical functions can be challenging to students as they learn how to solve equations with extraneous roots, and learn how to interpret rational exponents. Complex numbers are introduced to the students and time is set aside to study the recursive and infinite Mandelbrot set using websites and explorations created specifically for each group. The Mandelbrot project offers numerous spiritual applications as the class discusses infinity and the vastness of God and space.  This unit also includes a look at composition and inverse functions.
 

Exponential and logarithmic functions are modeled using popcorn populations and paper folding. Short labs, using base e and compounding interest formulas are designed to teach students the importance of investments and banking.  Properties of logarithms and real life exponential modeling provide unique challenges to the students.  Rational functions are explored next as students learn how to find the asymptotes, x intercepts, how to simplify and how to solve.

Students are particularly intrigued with the Probability unit as they take part in simulating Let’s Make a Deal, use spinners, dice and cards to understand the basics of the Multiplication Counting Principle, Permutations and Combinations as well as Pascal’s Triangle and Binomial Expansion.  Analyzing Arithmetic and Geometric growth can be equally as interesting for students as they learn how to manipulate strings of numbers.
 

The second semester ends with students reviewing the six Trigonometric ratios, creating the sine and cosine functions visually using spaghetti.  Students will be able to solve right triangles and graph trigonometric functions changing the altitude and period values.