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!

I have created a comprehensive curriculum for Algebra I, and this 7-8 week course will cover this subject thoroughly. Over this period of time, we will be covering the following: Wk1: Foundations / Pre-Algebra Review Algebraic properties Evaluate expressions and functions Monomial expressions Polynomial expressions and operations Radical expressions Wk2: Expressions & Structure Laws of exponents Basic exponent properties Scientific notation Wk3: Linear Concepts Linear equations with one variable Literal equations Systems of linear equations Linear inequalities Wk4: Functions (Linear First) Identify functions Evaluate functions Domain and range Linear functions Properties of linear functions Solve functions Wk5: Factoring & Quadratics Factor GCF / difference of squares Factor trinomials Solve equations by factoring Quadratic functions Solve quadratic equations Wk6: Exponents & Exponentials Exponential functions Properties of linear and exponential functions Wk7: Sequences & Advanced Topics Sequences Factorials 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!