Advanced Algebra II Course Starts Sun Feb 22, 4:15 PM I have created a comprehensive curriculum for HONORS Algebra II, and this 6-week course will cover this subject thoroughly. Over this period of time, we will be covering the following:
Week 1: Advanced Polynomial & Quadratics
-Advanced factoring techniques (including grouping & complex cases)
-Solve equations by factoring (non-trivial forms)
-Quadratic equations (completing the square, quadratic formula review with derivations)
-Quadratic functions (vertex form, transformations, modeling)
-Polynomials and polynomial functions
-End behavior
-Multiplicity of zeros
-Graph behavior analysis
-Systems of nonlinear equations (linear–quadratic, quadratic–quadratic)
Week 2: Rational Functions & Expressions
-Rational expressions (complex rational expressions, restrictions)
-Advanced factoring (applied to rational simplification)
-Rational equations and inequalities
-Graphing Rational Functions
Week 3: Radical & Complex Number Systems
-Radical expressions (rational exponents emphasized)
-Radical equations and inequalities (extraneous solutions)
-Radical functions (transformations & domain restrictions)
-Complex numbers
Week 4: Exponential & Logarithmic Functions
-Exponential equations and functions
-Growth/decay modeling
-Logarithmic equations and functions
-Properties of logs
-Solving exponential equations using logs
Week 5: Conic Sections
-Circles
-Parabolas (coordinate form)
-Ellipses
-Hyperbolas
Week 6: Sequences, Series & Advanced Systems
-Sequences and series
-Arithmetic & geometric sequences
-Explicit vs recursive formulas
-Finite geometric series
-Mixed problems review (Rational + exponential, log + quadratic, polynomial + complex)
I will be going over the topics above, explaining them thoroughly, and then providing and working through practice problems. I will also be assigning homework, which will be due by the start of the next session!
