Public Articles
Mathematics Has an Architecture Nobody Showed You
# Mathematics Has an Architecture Nobody Showed You  There is a moment, somewhere around the third time you drag a slider and watch a …
Circle Equation — Center and Radius on a Grid
# Circle Equation — Center and Radius on a Grid ## Plain English first A circle is every point that is exactly distance r from a center point (h, k). …
Quadratic Formula — Finding Where a Parabola Crosses Zero
# Quadratic Formula — Finding Where a Parabola Crosses Zero ## Plain English first A quadratic equation is any equation with an x² in it: ax² + bx + c …
Pyramid and Prism Volumes
# Pyramid and Prism Volumes ## Plain English first **Prism:** Any shape with a uniform cross-section from bottom to top. Take the area of that cross-section, multiply by the height. …
Parallelogram and Trapezoid Areas — Rearranging Rectangles
# Parallelogram and Trapezoid Areas — Rearranging Rectangles ## Plain English first Both of these shapes are rectangles in disguise. The trick in each case is to cut a piece …
Pi from Randomness — Monte Carlo
# Pi from Randomness — Monte Carlo > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first Throw darts randomly at a …
Pi — The Diameter That Wraps Around
# Pi — The Diameter That Wraps Around <video src="https://askrobots.com/files/public/396fe289-0fac-4015-bb62-fb05ee3bce33/" controls width="100%" style="border-radius:8px;margin:1rem 0"></video> ## Plain English first Take any circle. Pull the diameter out — the straight line through …
Distance Formula — Pythagorean on a Grid
# Distance Formula — Pythagorean on a Grid > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first You have two points …
Slope and Linear Equations — Rise Over Run
# Slope and Linear Equations — Rise Over Run > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first Slope is steepness. …
Sine and Cosine — Waves from a Spinning Point
# Sine and Cosine — Waves from a Spinning Point > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first Put a …
Sphere Volume — Archimedes' Discovery
# Sphere Volume — Archimedes' Discovery > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first Archimedes figured this out around 250 …
Cone Volume — One Third of a Cylinder
# Cone Volume — One Third of a Cylinder > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first A cone has …
Cylinder Volume — A Circle Grown Tall
# Cylinder Volume — A Circle Grown Tall > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first A cylinder is just …
Pythagorean Theorem — Squares on Sides
# Pythagorean Theorem — Squares on Sides > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first Draw a right triangle. Now …
Circle Area — Why πr²?
# Circle Area — Why πr²? > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first Take a circle and lay a …
Triangle Area — Half a Rectangle
# Triangle Area — Half a Rectangle > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first Draw a rectangle. Now cut …
Rectangle Area — Counting the Grid
# Rectangle Area — Counting the Grid > **Animation coming** — full Sora 2 prompt below. Video will replace this placeholder. ## Plain English first A rectangle is the simplest …
Where Mathematics Came From
# Where Mathematics Came From  ## Plain English first Mathematics was not invented by professors in a room deciding to …
Absolute Value — Distance from Zero
# Absolute Value — Distance from Zero  ## Plain English first Absolute value answers one question: …
Negative Numbers
# Negative Numbers  ## Plain English first Counting numbers stop at zero. But the world needs numbers …