Algebra 2 (High School)

Session #1: Equations & Inequalities

Dive into the complex world of functions, polynomials, rational expressions, logarithms and more as we sharpen your problem-solving skills with real-world applications in physics, astronomy, and spacecraft design. You'll prepare for advanced mathematical studies in engineering fields like mechanical, civil and aerospace as this course is taught by a rocket scientist!

Session #2: Graphs

Absolutely—here’s a more concise version, still formal: --- In this session, students will explore how equations are represented graphically. Topics include distance and midpoint, lines, circles, and variations. These concepts build a foundation for interpreting mathematical relationships and applying them to real-world situations through graphs.

Session #3: Functions & Graphs

Students will deepen their understanding of functions and their graphical representations. We will examine how functions behave, how to identify their key properties, and how transformations affect their graphs. This foundational knowledge is essential for analyzing and constructing functions in both mathematical and real-world contexts.

Session #4: Linear & Quadratic Functions

This session focuses on two of the most fundamental types of functions in algebra: linear and quadratic. Students will explore the key properties of these functions, learn how to construct and interpret models from data, and apply algebraic techniques to analyze equations and inequalities. These skills provide a critical foundation for solving real-world problems and for success in advanced math topics.

Session #5: Polynomial & Rational Functions

Students will explore the structure and behavior of polynomial and rational functions. We will examine how to analyze and graph these functions, identify their key features, and solve related inequalities. Students will also investigate the role of real and complex zeros in determining function behavior, deepening their understanding of advanced algebraic concepts.

Session #6: Exponential & Logarithmic Functions

This session introduces students to exponential and logarithmic functions, which are essential for modeling growth, decay, and other real-world phenomena. Students will explore composite and inverse functions, analyze the properties of exponents and logarithms, and apply these concepts to solve equations and interpret data. These skills form a critical foundation for advanced mathematics and scientific applications.

Session #7: Systems of Equations & Inequalities

Students will explore systems of equations and inequalities, both linear and nonlinear. Using methods such as substitution, elimination, matrices, and determinants, students will learn how to solve and analyze these systems. The unit also introduces matrix algebra and partial fraction decomposition, providing valuable tools for solving complex mathematical problems and preparing students for higher-level math.