Course Overview:

This Honors Algebra 2 online course further extends the learner’s understanding of major algebra concepts and prepares them with the building blocks needed to dive deeper into trigonometry, pre-calculus, and advanced probability and statistics. Topics include radicals, quadratic functions and equations, polynomials, rationals, systems of equations and inequalities, exponents and logarithms, sequences and series, probability and statistics, and trigonometry. In the honors course, students will do in-depth study, problem-solving, and application of algebraic concepts.

Semester 1:

In Semester A, students will interpret key features of linear functions and their graphs in a context, solving linear equations when necessary. They will be able to explain the connection between rational exponents and radicals, and become fluent with complex numbers. Students will learn to sketch, transform and solve maximizing or minimizing problems with quadratic functions, using the technique of completing the square as well as solve quadratic equations using many different techniques. They will also learn to use and explain the remainder theorem and factor theorem to analyze polynomial functions as well as sketch and dissect rational functions, examining end behavior and exploring applications.

Semester 2: 

In Semester B, the major concepts shift toward the use of linear and non-linear inequalities to represent solution sets algebraically and graphically. Students will learn to model real world situations using exponential and logarithmic functions and explore by graphing and solving. They will work with geometric and arithmetic sequences and series, explore and apply probability in a variety of contexts, make inferences using statistical analyses, and explore, apply, graph, and transform trigonometric functions.