High School

(Algebra I) 

• Expressions and Equations
• Solving and analyzing linear, quadratic, and exponential equations. 
• Functions 
• Understanding and modeling relationships using different types of functions. 
• Linear and Quadratic Functions
• Graphing, interpreting, and analyzing linear and quadratic functions.
• Polynomials
• Operations with polynomials and factoring. 
• Statistics
• Interpreting data using measures of center, spread, and overall shape.
  

(Geometry)

• Geometric Relationships
• Understanding the properties of angles, triangles, circles, and other polygons.
• Transformations
• Rigid transformations, similarity, and congruence.
• Coordinate Geometry
• Using the coordinate plane to solve problems involving distance, midpoint, and slope. 
• Trigonometry
• Basic trigonometric ratios and solving right triangles. 
• Proofs 
• Writing formal geometric proofs using different theorems and postulates.
  

(Algebra II) 

• Advanced Functions 
• Quadratic, exponential, logarithmic, and polynomial functions.
• Complex Numbers
• Understanding and performing operations with complex numbers.
• Systems of Equations and Inequalities
• Solving linear and non-linear systems.
• Matrices
• Operations with matrices and their applications.
• Statistics and Probability 
• Advanced concepts including probability distributions and statistical inferences.
  

(Pre-Calculus/Calculus)

• Advanced Algebraic Concepts
• Polynomial, rational, exponential, and logarithmic functions.
• Trigonometry
• Trigonometric functions, identities, and solving trigonometric equations. 
• Calculus Introduction 
• Limits, derivatives, and basic integral concepts. 
• Vectors and Parametric Equations
• Understanding vectors, parametric equations, and their applications. 
• Sequences and Series
• Arithmetic and geometric sequences, series, and binomial theorem.