CCSShigh school
High School Algebra 2
Go beyond linear equations: polynomials, rational expressions, exponential and logarithmic functions, trigonometry, and sequences. This course builds the algebraic fluency you need for precalculus and beyond.
4units
9topics
130questions
~3hours
Course Units
Learning objectives
- Factor polynomials using grouping, GCF, and special-product patterns
- Perform polynomial long division and synthetic division
- Identify zeros of polynomial functions and their multiplicities
- Analyze end behavior of polynomial functions using leading term
- Use the Remainder and Factor Theorems to evaluate polynomials and verify factors efficiently
Learning objectives
- Simplify rational expressions by factoring and canceling common factors
- Solve rational equations and identify extraneous solutions
- Determine vertical, horizontal, and slant asymptotes of rational functions
- Graph rational functions using intercepts, asymptotes, and sign analysis
- Identify and explain why extraneous solutions arise when solving rational equations
Learning objectives
- Model exponential growth and decay scenarios with appropriate functions
- Apply properties of logarithms to simplify and evaluate expressions
- Solve exponential and logarithmic equations algebraically
- Interpret exponential and logarithmic functions in real-world contexts
- Connect exponential growth and decay to real-world phenomena including population models and depreciation
Topics in this unit
Learning objectives
- Write explicit and recursive formulas for arithmetic and geometric sequences
- Evaluate finite arithmetic and geometric series using summation formulas
- Apply fundamental counting principles, permutations, and combinations
- Calculate probabilities of compound and conditional events
- Determine whether an infinite geometric series converges or diverges and calculate its sum when it converges