Courses in Foundational Math
- Solving Equations
- Measurement
- Mathematical Fundamentals
- Geometry I
- Reasoning with Algebra
- Functions and Quadratics
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Courses covered
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
- Estimating Probability
- Rule of Sum
- Rule of Product
- Conditional Probability
- Bayes' Rule
- Dependence and Independence
- Cumulative Probabilities
- Probability Estimates
- Updating Probabilities
- Probability Simulation
Mathematical Fundamentals
- Algebraic Expressions
- Arithmetic Operators
- Cryptogram Puzzles
- Discount Finance
- Divisibility
- Divisibility Rules
- Logic Fundamentals
- Rates and Ratios
- Sequences
- The Distributive Property
- Variables
Measurement
- Angle Axioms
- Measuring Areas
- Parallel and Perpendicular Lines
- Perimeter
- Similarity
- Surface Area
- The Pythagorean Theorem
- Three-Dimensional Figures
- Volume
Statistics Fundamentals
- Arithmetic Mean
- Median
- Mode
- Quantiles
- IQR
- Variance
- Standard Deviation
- Regression
- Deceptive Graph Design
- Cumulative Frequency Plots
- p-values
- Normal Curves
- Experiment Design
- Type I and Type II errors
- Simpson's Paradox
Calculus Fundamentals
- Continuity
- Derivatives
- Extrema
- Implicit Derivatives
- L'Hôpital's Rule
- Limits
- Newton's Method
- Physics Applications
- The Chain Rule
- The Squeeze Theorem
Solving Equations
- Bar Models
- Distributive Property
- Evaluating Expressions
- Factoring
- Factors
- Inverses
- Order of Operations
- Simplifying Expressions
- Solving Equations
- Variables
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