This 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.
- Interpret key features of linear functions and their graphs in a context, solving linear equations when necessary.
- Explain the connection between rational exponents and radicals, and become fluent with complex numbers.
- Sketch, transform and solve maximizing or minimizing problems with quadratic functions, using the technique of completing the square.
- Solve quadratic equations using many different techniques.
- Use and explain the remainder theorem and factor theorem to analyze polynomial functions.
- Sketch and dissect rational functions, examining end behavior and exploring applications.
- Use linear and non-linear inequalities to represent solution sets algebraically and graphically.
- Model real world situations using exponential and logarithmic functions and explore by graphing and solving.
- Work with geometric and arithmetic sequences and series.
- Explore and apply probability in a variety of contexts.
- Make inferences using statistical analyses.
- Explore, apply, graph and transform trigonometric functions.