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Courses covered

Logic

Logic

  • Binary
  • Truth Tables
  • Logic Gates
  • Venn and Euler Diagrams
  • Propositional Logic
  • The Square of Opposition
  • De Morgan's Laws
  • Inclusive and Exclusive OR
  • Combinatorics
  • Knight and Knave Puzzles
  • Combinatorial Game Algorithms
Introduction to Probability

Introduction to Probability

  • Estimating Probability
  • Rule of Sum
  • Rule of Product
  • Conditional Probability
  • Bayes' Rule
  • Dependence and Independence
  • Cumulative Probabilities
  • Probability Estimates
  • Updating Probabilities
  • Probability Simulation
Mathematical Thinking

Mathematical Thinking

  • Algebraic Expressions
  • Arithmetic Operators
  • Cryptogram Puzzles
  • Discount Finance
  • Divisibility
  • Divisibility Rules
  • Logic Fundamentals
  • Rates and Ratios
  • Sequences
  • The Distributive Property
  • Variables
Geometry

Geometry

  • Angle Axioms
  • Measuring Areas
  • Parallel and Perpendicular Lines
  • Perimeter
  • Similarity
  • Surface Area
  • The Pythagorean Theorem
  • Three-Dimensional Figures
  • Volume
Solving Equations

Solving Equations

  • Bar Models
  • Distributive Property
  • Evaluating Expressions
  • Factoring
  • Factors
  • Inverses
  • Order of Operations
  • Simplifying Expressions
  • Solving Equations
  • Variables

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Courses in Foundational Math

  • Solving Equations
  • Geometry
  • Mathematical Thinking
  • Geometric Thinking
  • Functions

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