High School Math Overview

I teach Algebra 2, Geometry, Algebra 3, Statistics/ Consumer Math.

Algebra 2 builds on Algebra 1 and prepares students for advanced math. Key topics include:

• Equations & Inequalities: Linear, quadratic, polynomial, rational, radical, exponential, and logarithmic equations.
  
  

• Functions: Function notation, domain/range, transformations, inverses, and composition.
  
  

• Quadratics & Polynomials: Factoring, graphing, complex numbers, and polynomial operations.
  
  

• Exponential & Logarithmic Models: Growth/decay, laws of exponents and logarithms.
  
  

• Rational & Radical Expressions: Simplifying and solving.
  
  

• Systems of Equations: Linear and non-linear systems.
  
  

• Sequences & Series: Arithmetic and geometric sequences.
  
  

• Data & Modeling: Regression, interpreting graphs, and real-world applications.
  
  

Goal: Develop algebraic fluency, problem-solving skills, and readiness for Precalculus or college-level math.

Geometry – Course Overview (Concise)

High school Geometry focuses on shape, space, and logical reasoning. Key topics include:

• Foundations: Points, lines, planes, angles, and geometric reasoning.
  
  

• Proofs: Inductive and deductive reasoning, logic, and formal proofs.
  
  

• Congruence & Similarity: Transformations, triangle congruence, and similarity.
  
  

• Triangles: Properties, special right triangles, and trigonometry basics.
  
  

• Polygons & Circles: Area, perimeter, arcs, angles, and sectors.
  
  

• Coordinate Geometry: Distance, midpoint, slope, and equations of lines.
  
  

• 3D Geometry: Surface area and volume of solids.
  
  

Goal: Develop spatial reasoning, logical thinking, and problem-solving skills for advanced math.

Algebra 3 extends Algebra 2 with deeper analysis and advanced modeling. Key topics include:

• Advanced Functions: Polynomial, rational, exponential, logarithmic, and piecewise functions.
  
  

• Function Analysis: Transformations, inverses, composition, and asymptotic behavior.
  
  

• Systems & Matrices: Solving systems using matrices and determinants.
  
  

• Complex Numbers: Operations and applications.
  
  

• Sequences & Series: Advanced arithmetic and geometric models.
  
  

• Probability & Statistics: Permutations, combinations, distributions, and data analysis.
  
  

• Mathematical Modeling: Real-world applications and problem-solving.
  
  

Goal: Strengthen algebraic reasoning and prepare students for Precalculus, Statistics, or college math.

Statistics – Semester Course Overview (Concise)

This course introduces students to collecting, analyzing, and interpreting data. Key topics include:

• Data Collection: Surveys, experiments, sampling methods, and bias.
  
  

• Descriptive Statistics: Measures of center and spread, data displays, and distributions.
  
  

• Probability: Basic rules, conditional probability, and simulations.
  
  

• Inferential Statistics: Confidence intervals and hypothesis testing.
  
  

• Regression & Correlation: Linear models and interpretation.
  
  

• Real-World Applications: Data-driven decision making and statistical reasoning.
  
  

Goal: Develop statistical literacy and critical thinking for everyday and academic use.

Consumer Math – Semester Course Overview (High School)

Consumer Math equips students with practical math skills for everyday financial decision-making. The course emphasizes real-world applications such as managing money, understanding credit, and planning for the future.

Key Topics:

• Budgeting, income, and expenses
  
  

• Banking: checking, savings, interest
  
  

• Taxes and payroll deductions
  
  

• Credit, loans, and debt management
  
  

• Purchasing decisions and consumer rights
  
  

• Saving, investing, and basic financial planning
  
  

• Insurance and risk management
  
  

Skills Developed:

• Financial literacy and responsible decision-making
  
  

• Problem-solving using real-life scenarios
  
  

• Interpreting financial documents and data
  
  

Outcome:
Students will gain the confidence and skills needed to manage personal finances, make informed consumer choices, and prepare for independent living.