9th Grade Algebra 1

Foundations

Functions: The Math Machine The Secret Life of Lines

Linear Relationships

When Lines Collide Shading the Truth The V-Shape: Absolute Value

Expressions & Equations

Powers & Exponent Rules Building Polynomials Factoring: Reverse Engineering

Growth & Patterns

Linear vs. Exponential: The Race Sequences & Patterns

10th Grade Geometry & Algebra 2

Quadratic Functions

Why Do Parabolas Look Like That? Stretching, Flipping & Shifting Factored Form & Roots Completing the Square & Quadratic Formula Rational Expressions & Polynomial Division

Geometry Foundations

Rigid Motions: Translate, Rotate, Reflect Congruence: SSS, SAS, ASA Geometric Proof Basics Triangle Properties & Angles Pythagorean Theorem Visualized Right Triangle Trig: SOH-CAH-TOA Law of Sines & Law of Cosines Parallel Lines & Transversals Similarity & Dilations Circle Theorems

Coordinate Geometry

Distance & Midpoint Circle Equations Coordinate Proofs

Coordinate Geometry

Distance & Midpoint Circle Equations

Data & Probability

Histograms, Box Plots & Standard Deviation Intro to Probability Conditional Probability & Independence Probability Rules: Addition & Multiplication Mean, Median & the Shape of Data Line of Best Fit Sampling, Bias & Inference Expected Value & Probability Distributions

Advanced Algebra

Radicals & Rational Exponents Area & Volume Formulas Logarithmic Scales Matrices: Grids of Numbers Modeling with Functions Parametric Equations

11th Grade Trigonometry & Precalculus

Trigonometry

The Unit Circle Decoded Sine Waves & the Music of Math Trig Identities Visualized Inverse Trig Functions

Advanced Functions

Piecewise & Step Functions Composition of Functions Inverse Functions Exponentials & Logarithms Rational Functions & Asymptotes Conic Sections

Sequences & Vectors

Sequences & Series Vectors: Direction + Magnitude Polar Coordinates Complex Numbers on the Plane

12th Grade Calculus

Limits & Derivatives

Limits: Sneaking Up on Answers What Is a Derivative, Really? The Chain Rule Visualized

Applications of Derivatives

Optimization: Finding the Best Related Rates

Integration

Area Under the Curve The Fundamental Theorem Volumes of Revolution

Advanced Topics

Taylor Series: Polynomial Clones Intro to Differential Equations

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