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.

This lesson focuses on the characteristics of a circle including similarity, radius, circumference, and Pi. It provides formulas to determine the area of a circle, calculating Pi, and learning exercises throughout.

This lesson focuses on probability theory for predicting the outcome of flipping a coin, and then flipping it multiple times.

This lesson focuses on map coloring and the problem of proving that 4 colors would work for all maps. Francis Guthrie had to color a map of counties in England. He observed that four colors seemed to suffice for any map he tried, but he...

This lesson focuses on developing a way to cross all 7 Bridges of Konigsberg without crossing any of them more than once. Euler discovered it was impossible, but he developed the idea of using graph theory to determine if it would be...

This lesson uses handshakes at a party to explain complete graphs, when every vertex is connected to every other vertex. It shows how a formula was created to calculate the number of edges.

This lesson focuses on the Monty Hall game where you select one of three doors. It explains your odds based on your choices.

This lesson focuses on the probability and casino games such as Roulette which consists of a wheel with the numbers from 1 to 36 colored in red and black, as well as a green 0. A ball rolls around the outside and randomly lands on one of...

This lesson focuses on probability, a number between 0 and 1 which describes the likelihood of a certain event. A probability of 0 means that something is impossible; a probability of 1 means that something is certain.

In addition to arithmetic and geometric sequences, Fibonacci Numbers, and figurate numbers, there are countless interesting sequences that don't follow a similar, regular pattern. These include prime numbers, perfect numbers, the...

There are many other sequences that are based on certain geometric shapes. These sequences are often called Figurate numbers, numbers that can be represented using geometric shapes. Examples include square, triangle, and tetrahedral...

This lesson focuses on arithmetic and geometric sequences using several examples and practice exercises.

The circle is one of four different shapes which can be created using "slices" through a cone, a 3-dimensional solid that has a circular base joined to a single point (called the vertex) by a curved side. If you tilt a cone, you get an...

Rather than dividing a circle into some number of segments (like 360 degrees), mathematicians often prefer to measure angles using the circumference of a unit circle - a circle with radius 1. This way of measuring angles is called...

This lesson focuses on symmetry including reflectional symmetry, rotational symmetry, and palindromes. It defines each, gives examples, and practice activities.

This lesson provides an introduction to graph theory including directed graphs, disconnected graphs, subgraphs, and order and degrees of a graph.

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...

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.