**On Arithmetic**

Tanton: Fractions are Hard!

Tanton on Dividing Fractions

Tanton on Negative times Positive

Tanton on Negative times Negative

Tanton on Dividing by Zero

Tanton on Zero to the Zero-th power

Tanton on other Questionable Exponents

Tanton on Rationalizing Denominators

Tanton on Square Roots and Addition

Power of Ten (1977)–On Exponents and Scientific Notation

**On Algebraic Manipulation**

Tanton on FOIL

Tanton Deriving Quadratic Formula

Tanton on Completing the Square

Tanton on Synthetic Division

Tanton on Visually Solving Polynomial Division

Tanton on Factoring Harder Quadratics

Tanton on Buying Gloop: Comparing Buying Strategies

Tanton: Which Mean do you Mean?

Tanton: The Binomial Theorem

Scarborough’s Common Misconceptions

**On Absolute Values**

Tanton Notes

**On Logarithms**

Vi Hart: Counting in a “times 2” sort of way

Tanton Logs 1: Replace the word log with the word power

Tanton Logs 2: How logs work (Part I)

Tanton Logs 2: How logs work (Part II)

Tanton Logs 3: Change of Base

Tanton Log Notes

Decibel Scale

**On Functions and Graphs**

Tanton: What is a Function

Tanton: Graphing Quadratics

Tanton: Why All Quadratics are U-Shaped

Tanton: Graphing Factored Polynomials

Tanton: Nutting Your Way Through Quadratic Exercises Part I

Tanton: Nutting Your Way Through Quadratic Exercises Part II

**On Matrices and Vectors**

Tanton: What is a Vector?

Tanton: A Vector-based leapfrog puzzle

Tanton on Matrices and Vectors

**On Mathematical Modeling: Representing data using functions/equations**

“All models are wrong, but some are useful.” -George Box

Tanton on Linear Modeling

Tanton on Quadratic Modeling

Tanton on Why Thrown Objects Follow Quadratic Paths

Tanton on Exponential Modeling

Tanton on Slicing Wrapping Paper: Which Model is Appropriate?

NYT on Modeling Income versus Rate of College Attendance

**On Parametric Equations**

Tanton on Parametrics

**On Trigonometry**

University of Utah Trigonometry Series

An Ames Room

An Illusion about Moving Dots

More Visual Illusions

Tanton on Radians

Tanton on Squine and Cosquine

Tanton on Why Tangent is Called Tangent

Tanton on a Cute Finger Trick for Trig Values

**Pythagoras and Distance**

Tanton on the Pythagorean Theorem

Tanton on 3D Pythagorean Theorem

Tanton on extending the Pythagorean Theorem to Rectangles

Tanton on Shortest Paths

Tanton on Non-intuitive Pythagoras Application

Tanton on Equation of a Circle

**Conic Sections**

Vi Hart on Conic Sections

Is this a conic section?

**Miscellaneous Videos**

Khan Academy on Banking

**Astronomy**

Plains Sky Time Lapse

Texas Sky Time Lapse

Very Large Telescope HD Sky Time Lapse

Proof of Aliens Sky Time Lapse: Make Up Your Own Mind

Rotating Star Explorer

BBC Documentary on Newton

On Neptunes Discovery

On Astronomical Distances (Crash Course)

**On Reflections**

Chaotic Reflections (Wolfram Demo)

Reflections in a Circle (Wolfram Demo)

Reflections in an Ellipse (Wolfram Demo)

Reflections in Conics (Wolfram Demo)

Reflections in a Mirrored Corner(Wolfram Demo)

Reflections from a Polynomial Mirror (Wolfram Demo)

Ambiguous 2D representations

Dan Finkel at Math for Love compiled most of these resources on reflections.