• Advanced Algebra
    High five

    Course Description: In this course, students will build on their work with linear, quadratic and exponential functions. Students will also extend their understanding of functions to include polynomial, rational and radical functions.

    Major Units:

    • Chapter 1     Linear Functions and Systsems
    • Chapter 2     Quadratic Functions and Equations
    • Chapter 3     Polynomial Functions
    • Chapter 4     Rational Functions
    • Chapter 5     Rational Exponents and Radical Functions
    • Chapter 6     Exponential and Logarithmic Functions
    • Chapter 7     Trigonometric Functions
    • Chatper 10    Matrices
    • Chapter 11    Data Analysis and Statistics
    • Chatper 12    Probability

    Learning Goals and objectives:  Upon completion of this course, students will be able to

    • Interpret the structure of expressions
    • Write expressions in equivalent forms to solve problems
    • Perform arithmetic operations on polynomials
    • Understand the relationship between zeros and factors of polynomials
    • Create equations that describe numbers or relationships
    • Solve equations and inequalities in one variable
    • Solve systems of equations
    • Represent and solve equations and inequalities graphically
    • Understand the concept of a function and use functions notation
    • Extend the properties of exponents to rational exponents
    • Classify numbers as rational or irrational
    • Understand and apply the fundamental counting principal, combinations, permutations and probability
    • Interpret linear models
    • Calculate expected values and use them to solve problems
    • Use probability to evaluate outcomes of decisions
    • Understand that polynomials form a system closed under the operations of addition, subtraction and multiplication
    • Rewrite simple rational expressions in various forms using inspection, synthetic division or long division
    • Apply rules of exponents and logarithms to convert expressions or solve equations
    • Utilize special right triangle relationships as well as trigonometric ratios to solve triangles
    • Convert between degree measure and radian measure and find arc length and area of sectors