Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...

Save an infinite amount of time and enjoy this pre-made series formula guide. Arithmetic and geometric formulas are all included as well as Pascal's Triangle and examples of how the Binomial Theorem expands. 

There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Students factor quadratic equations. In this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.

Students define Pascal's triangle and special notations used to represent nth elements. In this geometry lesson plan, students solve problems using permutations and combinations. They compare the formula for permutation to that of...

The Binomial Theorem is a process of expanding a binomial that is being raised to a large power. All steps needed to perform the process on a graphing calculator are listed. The concepts of factorials and Pascal's Triangle -- both key to...

Resource takes a look at the Binomial Theorem and formula and includes a binomial theorem calculator and practice problems.

This lesson will introduce students to the binomial theorem through a variety of activities. Pascal's triangle and probabilities will be explored through problem solving. The binomial theorem, combinations formula, and the binomial...

A math web site on the binomial theorem. Find the binomial formulas for both positive integer exponents and negative integer exponents with this site.

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

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.

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...

How much rice did the prince get from the king? Find out here as the legendary story is solved using a geometric series. Additional examples and formulas are provided.

A description of an arithmetic series begins this demonstration, followed by formulas and examples. A real world application is included for practice.