[Free Registration/Login may be required to access all resource tools.] Exploring the relationship between Pascal's Triangle and the Binomial Theorem

Reference material and practice problems for the binomail theorem.

Get an explanation of the Principle of Inclusion and Exclusion and work through a proof using the Binomial Theorem. This resource concludes with two examples.

Use the Binomial Theorem to expand integer powers of binomial expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Students learn about the binomial theorem. The tutorial includes class notes, calculator tips, examples, and practice problems with solutions. The teacher resource investigates the origins of the binomial theorem.

Learners show understanding of advanced mathematical concepts. The online quiz assesses the students on the binomial theorem.

Students expand expressions using Pascal's Triangle and verify the results on a Computer Algebra System CAS tool.

Seven multiple choice interactive exercises which assess knowledge of squaring of binomials.

Contains a brief lesson on binomial coefficients.

The resource investigates the binomial theorem. Topics examined are Pascal?s triangle and expanding powers of general binomials. Class notes and examples are included.

This site answers a student's question inquiring about the definition of a binomial expansion, where it would be used, and why.

This set of questions pertains to the binomial formula and Pascal's triangle. Students will find terms of an expansion and investigate combinations. Questions are short answer, true/false, and multiple-choice; solutions are included.

This site explains the negative binomial series, the series which arises in the binomial theorem for negative integer n.

An article written for teachers with recommendations on how to present permutations, combinations, and the binomial theorem to students. It contains both useful suggestions about order of presentation and many class examples. A good...

This site provides definitions and examples of binomial series.

A review of factorials in the areas of combinations, permutations, probability, and the Binomial Theorem is presented. Examples are worked out and explained, complete with graphing calculator steps.

Here is a site that clearly and thoroughly explains how to divide a polynomial by a binomial using synthetic division. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...

Based off of the hit television show NUMB3RS, this lesson helps students draw a connection between binomial expansions, probabilities, combinations, and Pascal's Triangle. The lesson is framed in the context of randomly guessing a number...

Brief definition and example of the Central Limit Theorem.

A site from Mathworld on multiple angle formulas. This site shows how to express sin(nx)in terms of sin(x) and cos(x) using the binomial theorem and Euler's formula. If you are not yet familiar with these formulas, check out the links to...

Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.

This site from ScienceWorld provides a brief but factual abstract of Bernoulli's math accomplishments. Links are provided throughout for additional information on related subjects.

The concept of modeling sequences of random events using states and transitions between states became to known as Markov Chains. Introduction to Markov chains. Created by Brit Cruise.

This site from ScienceWorld provides an interesting biographical sketch of the English physicist and mathematician, Isaac Newton. The biography is a good size in length and very informative, with links provided throughout for additional...