Math Examples

A collection of math examples that demonstrate how to solve problems, patterns, strategies and paths through math. Each example is linked to relevant pages and concepts.

Approximate Square Root of Two

Approximate the Circle Constant

Area of Circle Visual Proof

Calculate A Plus B Squared

Calculate Line Through Two Points

Calculate Sum of Counting Numbers

Construct Equilateral Triangle

Construct Golden Rectangle

Construct Hexagon

Construct Pentagon

Construct Perpendicular Line

Convert Angle from Degrees to Radians

Convert Angle from Radians to Degrees

Convert Cartesian to Polar Coordinates

Convert Polar to Cartesian Coordinates

Derive Area of Circle Formula

Derive Area of Parallelogram Formula

Derive Area of Trapezoid Formula

Derive Area of Triangle Formula

Derive Cosine Function (Taylor Series)

Derive Definition of Exponential Function (Euler's Number) from Compound Interest

Derive Definition of Exponential Function (Power Series) from Compound Interest

Derive Definition of Exponential Function (Taylor Series)

Derive Difference of Two Angles Identities

Derive Difference of Two Angles Identities (Complex Plane)

Derive Difference of Two Angles Identities (Unit Circle)

Derive Distance Between Two Points Formula

Derive Double Angle Identities (Algebra)

Derive Double Angles Identities (Complex Plane)

Derive Double Angles Identities (Unit Circle)

Derive Half Angle Identities (Algebra)

Derive Law of Sines

Derive Law of Sines (Inscribed Triangle)

Derive Point Where Two Lines Intersect

Derive Pythagorean Identity

Derive Pythagorean Identity (Unit Circle)

Derive Quadratic Formula

Derive Sine Function (Taylor Series)

Derive Sum of Two Angles (Ptolemy's Theorem)

Derive Sum of Two Angles Identities (Complex Plane)

Derive Sum of Two Angles Identities (Exponential Function)

Derive Sum of Two Angles Identities (Right Triangle)

Derive Sum of Two Angles Identities (Unit Circle)

Derive the Trigonometric Identities

Derive the Trigonometric Identities (Complex Plane)

Derive the Trigonometric Identities (Unit Circle)

N Choose R Order Does Not Matter

Prove the Derivative of Cosine (Taylor Series)

Prove the Derivative of Sine

Prove the Derivative of Sine (Taylor Series)

Verify Exponential Function Properties