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. 

This modern animation and discussion of the ancient secrets of Pascal's triangle manages to be topical, engaging, and mathematically deep all at the same time. A great introduction to the power of number theory across multiple math...

Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...

Sal shows two ways to quickly calculate the coefficients of a binomial expansion. With the first method, he shows the relationship between PascalÕs triangle and the coefficients, and in the second method, he shows an even faster way for...

Sal shows two ways to quickly calculate the coefficients of a binomial expansion. With the first method, he shows the relationship between PascalÕs triangle and the coefficients, and in the second method, he shows an even faster way for...

A comprehensive lesson that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few other formulas...

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...

Build a pyramid of sums. An interactive presents the first five rows of Pascal's Triangle as a pyramid. Pupils match missing entries in the pyramid and continue the pattern to determine entries of other rows. The learners use the entries...

What could St. Patrick's Day and Pascal's triangle possibly have in common? Trace the pattern in a holiday-themed worksheet that prompts learners to find the word shamrock as many times as they can.

Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in the...

Is the path through December, January, and February the only path through winter? Not in a holiday math activity based on Pascal's Triangle! Middle schoolers study a triangle made of the letters from the word winter and decide how many...

An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 

How can a triangle help expand binomials? Young mathematicians watch as (x + y)^n is expanded for small values of n to discover patterns in coefficients to develop Pascal's triangle. The problem video then connects Pascal's triangle to...

In this online two-dimensional number patterns learning exercise, learners solve eight in-depth two-dimensional number patterns. Students check their answers as they go.

Practice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.

Students explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...

In this binomial expansions worksheet, high schoolers solve 8 multiple choice and short answer questions.  Students find a specific term in a given binomial expansion.

High schoolers review the foil method used to multiply two binomials. In this instructional activity on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method...

In this binomial expansion worksheet, learners solve and complete 81 various types of problems. First, they find the given sum and evaluate each factorial notation. Then, students expand each binomial and write only the coefficients....

Students, using Pascal's triangle, find the number of items given each day in the song, "The 12 Days of Christmas."

High schoolers reproduce the first eleven rows of Pascal's Triangle by recalling number patterns. In this math lesson, students are given a series of patterns to work with in order to reproduce Pascal's Triangle. High schoolers are...

In this algebra learning exercise, students expand Pascal's Triangle and record the requested terms for a given row. There are 4 questions.

In this probability instructional activity, students utilize factorials or Pascal's Triangle to calculate the combination given in the form of nCr. There are 4 questions.