1. Functions and Their Behavior

• Function transformations (shifts, reflections, stretches)
• Even and odd functions, symmetry
• Inverse functions
• Composition of functions
• Piecewise functions
• Domain and range (including in context)

2. Polynomial and Rational Functions

• Polynomial end behavior and turning points
• Analyzing and graphing polynomial functions
• Rational function behavior and asymptotes
• Solving polynomial and rational inequalities

3. Exponential & Logarithmic Functions (Advanced)

• Modeling with exponential and logarithmic functions
• Solving compound interest and continuous growth/decay problems
• Logarithmic and exponential equation solving using properties
• Change of base formula and applications

4. Trigonometry

• Unit circle and radian measure
• Trig functions and their graphs (sin, cos, tan, etc.)
• Amplitude, period, phase shift
• Trig identities (Pythagorean, reciprocal, cofunction)
• Solving trig equations
• Inverse trig functions
• Law of Sines and Law of Cosines

5. Systems of Equations & Matrices

• Solving systems of equations with 2–3 variables
• Using matrices for solving systems
• Matrix operations and inverses
• Determinants and Cramer’s Rule

6. Sequences, Series & Limits (Intro Calculus Concepts)

• Arithmetic and geometric sequences and series
• Sigma notation
• Infinite geometric series
• Intro to limits and basic continuity

7. Conic Sections

• Equations and graphs of parabolas, ellipses, circles, and hyperbolas
• Identifying key features (focus, directrix, center, etc.)
• Solving problems involving conic applications

8. Probability & Statistics

• Combinations and permutations
• Probability distributions
• Binomial theorem (intro)
• Measures of center and spread (review + extension)
• Normal distribution and z-scores
• Margin of error and confidence intervals (intro level)