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...

A triangle provides solutions to an algebra problem. The lesson introduces Pascal's Triangle to the class. Pupils learn to fill out the rows of the triangle and use the numbers as the coefficients in binomial expansions. Using their...

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...

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...

Prepare for a quiz on functions with these 16 short answer and 33 extended answer questions. Questions ask test takers to describe graphs of functions, state restrictions on variables, and translate graphs of equations. They determine...

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

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...

A week's worth of teaching on the Binomial Theorem. Lesson examples and a plethora of worksheets included. Learners find coefficients of specific terms within binomial expansions using notation of factorials and then apply these skills...

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 online two-dimensional number patterns worksheet, students solve eight in-depth two-dimensional number patterns. Students check their answers as they go.

In this Pascal's triangle learning exercise, students solve and complete 3 different sets of numbers that include the multiples of 2 and 3. First, they complete the triangle shown using simple addition. Then, students describe what they...

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

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

In this special numbers learning exercise, students solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.