Mathigon
Mathigon: Math Foundations: Divisibility and Primes: The Distribution of Primes
This lesson focuses on the distribution of large prime numbers. It offers a calculator to check numbers for prime and a calculator that allows you to create prime numbers. It also provides the history of methods find the distribution of...
Mathigon
Mathigon: Euclidean Geometry: Origami and Paper Folding
This lesson focuses on a different way to construct geometric figures without tools, Origami. The goal is to make objects out of one or more sheets of paper, without any additional tools like glue or scissors. You can create incredibly...
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Properties of Triangles
This lesson focuses on the properties of triangles, a closed shape that has three sides, three vertices, and and three internal angles. There are different types of triangles such as a right triangle, obtuse, and acute based on the...
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Polygons
This lesson focuses on polygons; a polygon is a closed, flat shape that has only straight sides. Polygons can have any number of sides and angles, but the sides cannot be curved.
Mathigon
Mathigon: Math Foundations: Grades 6 8
This is the electronic text for math foundations for grades 6-8. It is in the process of being rewritten so only specific sections are available now. More will be added over time.
Mathigon
Mathigon: Math Foundations: Divisibility and Prime: Greatest Common Factors
This lesson focuses on the greatest common factors it poses real situations and asks students answer them and then it provides more information and more exercises.
Mathigon
Mathigon: Math Foundations: Divisibility and Prime: Least Common Multiples
This lesson features practical applications for finding the least common multiples.
Mathigon
Mathigon: Geometry: Transformation and Symmetry: Introduction
This lesson is an introduction to transformation and symmetry by showing examples in nature and in buildings.
Mathigon
Mathigon: Euclidean Geometry: Geometric Construction
This lesson focuses on the history of geometric construction beginning with Euclid's Axioms to the simple tools such as the straight edge and the compass.
Mathigon
Mathigon: Geometry: Rigid Transformations
This lesson focuses on rigid transformations, a specific set of rules that convert one geometric figure into another one. There are many different types of transformations, like reflections or rotations. It provides several practice...
Mathigon
Mathigon: Geometry: Symmetry Groups
This lesson focuses on symmetry groups; some shapes have more than one symmetry. You can add two symmetries to form a new one. It provides examples and practice exercises including a "symmetry calculator."
Mathigon
Mathigon: Geometry: Symmetry Groups and Wallpapers
This lesson focuses on wallpaper groups. While there are infinitely many possible patterns, they all have one of just 17 different symmetry groups. These are called the Wallpaper Groups. Every wallpaper group is defined by a combination...
Mathigon
Mathigon: Graphs and Networks: Graphs in Everyday Life
This lesson focuses on graphs in everyday life including virtual graphs such as the Internet or physical computer networks of computers. It puts graph theory into practice and provides examples and learning exercises.
Mathigon
Mathigon: Geometry: Symmetry in Physics
This lesson focuses on symmetry in physics. The laws of nature are the name given collectively to the physical rules (usually expressed as mathematical equations) that try to explain everything we observe in the universe.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Quadrilaterals
This lesson focuses on quadrilaterals which can fall into multiple categories based on the number of sides and the angles.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Tessellations
This lesson focuses on tessellations, a tessellation is a geometric pattern that covers a surface without gaps or overlaps. They can be seen everywhere in nature such as a honeycomb or a tortoise shell.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Polyhedra
This lesson focuses on polyhedra; a polyhedron (the plural is polyhedra) is a 3-dimensional solid object that is made up of polygons. Euler's Polyhedron Formula: In every polyhedron, the number of faces (F) plus the number of vertices...
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Triangles Congruence
This lesson focuses on triangle congruence; it shows the ways to prove that triangles are congruent.
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Pythagoras' Theorem
Pythagoras' Theorem: In any right-angled triangle, the square of the length of the hypotenuse (the side that lies opposite the right angle) is equal to the sum of the squares of the other two sides. (A+B=C)
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Trigonometry
This lesson focuses on trigonometry including the trigonometric functions: sine, cosine, and tangent.
Mathigon
Mathigon: Geometry: Triangles and Trigonometry: Applications
This lesson focuses on the real world applications using triangles and trigonometry.
Mathigon
Mathigon: Euclidean Geometry: Introduction
Mathematicians in ancient Greece were amazed by mathematical patterns, and wanted to explore and explain them. They began to study mathematics just "for fun" without a specific application in mind. One of these mathematicians, Thales of...
Mathigon
Mathigon: Euclidean Geometry: Euclid's Axioms
This lesson focuses on Euclid's Axioms, simple, intuitive statements, that everyone agrees are true. An axiom(or postulate) is a mathematical statement that is regarded as "self-evident" and accepted without proof. A key part of...
Mathigon
Mathigon: Math Foundations: Divisibility and Primes: Factors and Multiples
This lesson focuses on factors and multiples; it explains each and provides practice activities and a quiz.