Algebra 2; (PPS; Algebra 3/4) (Middle School, High School)
Quadratic Functions and Equations
a. Vertex form and standard form of quadratic functions
b. Graphing quadratic functions and identifying key features
c. Solving quadratic equations using various methods
Rational Expressions and Equations
a. Simplifying and performing operations with rational expressions
b. Solving rational equations and applications
c. Graphing rational functions and asymptotes
Exponential and Logarithmic Functions
a. Understanding exponential growth and decay
b. Evaluating and graphing exponential functions
c. Solving exponential and logarithmic equations
Systems of Equations and Inequalities
a. Solving systems of linear equations (review from first-year algebra)
b. Introducing systems of nonlinear equations
c. Solving systems of linear and nonlinear inequalities
Matrices and Determinants
a. Basic operations with matrices (addition, subtraction, multiplication)
b. Matrix equations and solving systems of equations using matrices
c. Determinants and their applications
Complex Numbers
a. Introduction to complex numbers and their representation
b. Operations with complex numbers
c. Solving quadratic equations with complex solutions
Polynomial Functions and Equations
a. Graphing polynomial functions and identifying key features
b. Analyzing the behavior of polynomial functions
c. Solving polynomial equations using various methods
Conic Sections
a. Overview of conic sections (circles, ellipses, parabolas, hyperbolas)
b. Equations and properties of conic sections
c. Graphing conic sections and real-world applications
Sequences and Series
a. Arithmetic and geometric sequences
b. Summation notation and sigma notation
c. Finding the sum of arithmetic and geometric series
Trigonometry
a. Trigonometric ratios and angles in the unit circle
b. Trigonometric functions (sine, cosine, tangent)
c. Solving triangles and applications of trigonometry
