Mathigon
Mathigon: Geometry: Symmetry
This lesson focuses on symmetry including reflectional symmetry, rotational symmetry, and palindromes. It defines each, gives examples, and practice activities.
Mathigon
Mathigon: Graphs and Networks: Introduction
This lesson provides an introduction to graph theory including directed graphs, disconnected graphs, subgraphs, and order and degrees of a graph.
Mathigon
Mathigon: Probability and Discrete Math: Introduction
This is an introduction to the study of probability. It tells the story of two of the greatest mathematicians, Blaise Pascal and Pierre de Fermat, who used coin tosses of heads or tails to determine who paid the bill. It led to the...
Mathigon
Mathigon: Algebra: Sequences and Patterns
Explore this course in sequences and patterns including simple sequence, triangle and square numbers, terms, recursive formulas, and explicit formulas. Click on Trailer on the top left to watch an introductory video.
Mathigon
Mathigon: Graphs and Networks: The Travelling Salesman Problem
This lesson focuses on the traveling salesman problem which involves finding paths through a city without backtracking. While no algorithm has been found to do that for all cities, there are algorithms that help somewhat. They are...
Mathigon
Mathigon: Geometry: Euclidean Geometry: Definitions
This lesson focuses on Euclidean Geometry terminology; such as line, point, line segment, congruence, circle, radius, ray, and more. It defines each term and provides an example of each.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Platonic Solids
A Platonic solid is a polyhedron made up of only one kind of regular polygon, that looks the same from every direction. (In other words, the same number of faces meet at every vertex.) There are only five different Platonic solids:...
Mathigon
Mathigon: Algebra: Fibonacci Numbers
This lesson focuses on Fibonacci numbers, a pattern based on the sum of the two previous numbers. It offers examples and practice exercises using some form of Fibonacci numbers.
Mathigon
Mathigon: Algebra: Sequences: Pascal's Triangle
This lesson focuses on Pascal's Triangle, a number pyramid in which every cell is the sum of the two cells directly above. It contains all binomial coefficients, as well as many other number sequences and patterns.
Mathigon
Mathigon: Probability and Discrete Math: True Randomness
This lesson focuses on randomness; it explains that what we often think of as random is only random because we do not have the tools to make better predictions. However, true randomness does exists -- at the very foundations of matter. A...
Mathigon
Mathigon: Graphs and Networks: Planar Graphs
Here is another puzzle that is related to graph theory. In a small village there are three utility plants producing water, electricity and gas respectively. There are also three houses which need to be served. Unfortunately, due to the...
Mathigon
Mathigon: Graphs and Networks: Euler's Formula
This lesson focuses on Euler's Equation. Any (finite) graph can be constructed by starting with one vertex and adding more vertices one by one. We have shown that, whichever way we add new vertices, Euler's equation is valid. Therefore...
Mathigon
Mathigon: Math Foundations: Divisibility and Primes: Prime Numbers
This lesson focuses on prime numbers, numbers that can only be divided by one and itself. It explains the Fundamental Theorem of Arithmetic and the Sieve of Eratosthenes. Includes practice activities.
Mathigon
Mathigon: Math Foundations: Divisibility and Primes: Divisibility Rules
There are a few different rules that can make it easy to check if a number is divisible by another. In this lesson you will learn some of them such as,any number that ends in 0, 2, 4, 6, or 8 is divisible by 2, divisibility by 5 we...
Mathigon
Mathigon: Multiplication by Heart
These beautiful flash cards use spaced repetition to teach multiplication facts. Achieve fluency with just five minutes of practice per day!
Mathigon
Mathigon: Alice in Fractal Land
When Alice falls down the rabbit hole, she discovers a wonderful world of mathematics: Pascal's triangle, sequences of rabbit generations, and beautiful, never-ending fractals.
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Introduction
This lesson is an introduction to triangles and trigonometry by looking at the history of mapping and specifically, measuring the height of a mountain.
Mathigon
Mathigon: Geometry: Transformations and Symmetry: Dilations
This lesson focuses on dilations, a dilation is a transformation that resizes a geometric shape, by making it bigger or smaller.