COURSE DESCRIPTION

CHAPTERS

1A – Polynomials – From Base Ten to Base X• Algebraic Patterns • Multiplying Polynomials • Dividing Polynomials • Polynomial Identities • Radicals and Conjugates • Pythagorean Triples 1B – Factoring – Its Use and Its Obstacles• Review: Factor Quadratics to Find Solutions and Zeros • Factoring Quadratic Expressions When the Leading Coefficient is Greater Than One • Factoring Fourth Degree Polynomials • Factoring Polynomials – Other Strategies • Factoring Third Degree Polynomials • Mastering Factoring – Extending Strategies • Analyzing the Graphs of Polynomial Functions • The Remainder Theorem • Solve Problems Using Polynomial Functions 1C – Solving and Applying Equations – Polynomial, Rational, and Radical• Rational Polynomial Expressions • Rational Polynomial Expressions – Add, Subtract, Multiply and Divide • Solving Rational Polynomial Equations • Solving Radical Equations • Solve Linear Systems in Three Variables • Graphing Systems of Equations • Focus-Directrix Definition of a Parabola • Congruence and Similarity of Parabolas 1D – Complex Numbers Overcome All Obstacles• Properties of Complex Numbers • Solving Polynomial Equations with Complex Solutions • The Fundamental Theorem of Algebra | 2A – Exponents and Logarithms• Simplify Algebraic Expressions with Negative and Fractional Exponents • Rewriting Algebraic Expressions Involving Radicals as Fractional Exponents • Evaluate Numerical Expressions with Fractional or Negative Exponents • Graphing Exponential & Logarithmic Functions • Solving Exponential Equations • Evaluate Logrithmic Expressions in Any Base • Properties of Logarithms: Rewriting Logarithm Expressions as One Equivalent Log • Properties of Logarithms: Rewriting Single Logarithm Expressions as Multiple Logarithms • Solving Equations Involving Logarithms • Applications of Exponential Functions 2B – Series and Sequences• Arithmetic Sequences • Geometric Sequences • Mathematical Patterns • Sigma Notation & Summation of a Series • Binomial Expansion 3A – Statistics• Gathering Data • Types of Bias in Surveys • Organizing Data • Measures of Central Tendency • Measures of Dispersion: Interquartile Range • Variance and Standard Deviation Including the Normal Curve • Bivariate Statistics and Linear Regression • Non-Linear Regression 3B – Probability• Introduction to Permutations and Combinations • Permutations • Combinations • Theoretical Probability • Sample Spaces • Binomial Probability Formula • Using the Normal Distribution to Approximate Binomial Probabilities |