Curated OER
Series Review Sheet
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.
Texas Instruments
Exploring the Binomial Theorem
A comprehensive instructional activity 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...
EngageNY
Mid-Module 3 Assessment Task
Time to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....
EngageNY
The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
EngageNY
The Binomial Theorem
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...
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Alabama Learning Exchange
Binomial Expansion—Shortcut Please
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...
Curated OER
The Binomial Theorem
In this binomial expansions practice instructional activity, students utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.
Curated OER
Senior Analysis
A good review worksheet on simplifying rational expressions, solving equations with factorials, solving problems on permutations and combinations, and using the Binomial Theorem.
Curated OER
Patterns in Pascal's Triangle
Students examine the patterns in Pascal's Triangle. In this recognizing lesson, students view a model of Pascal's Triangle and describe the patterns of the multiples. Students identify the shapes that are made within Pascal's Triangle.
Curated OER
The Binomial Theorem
In this Binomial Theorem worksheet, students solve 10 different problems that include applying the Binomial Theorem in each.
Curated OER
Practice: Binomial Expansions
Practice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.
Curated OER
Sequences and Series
In this sequences and series worksheet, 11th graders solve and complete 9 different problems that include various sequences and series. First, they evaluate each given expression using the binomial theorem. Then, students use Pascal's...
University of Regina (Canada)
University of Regina: Math Central: The Binomial Theorem and the Principle of Inclusion & Exclusion p.i.e.
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.
University of Vienna (Austria)
University of Vienna: Binomial Formulae
Seven multiple choice interactive exercises which assess knowledge of squaring of binomials.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: The Binomial Theorem
Using this tutorial, you'll learn how to evaluate a factorial, find a binomial coefficient, and use the binomial theorem through several example problems and practice exercises.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Pascal's Triangle and the Binomial Theorem
Nineteen problems present a variety of practice working with Pascal's Triangle and Binomial Theorem. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the...
Interactive Mathematics
Interactive Mathematics: The Binomial Theorem
This tutorial contains detailed information about the Binomial Theorem. Includes practice exercises and interactives.
National Council of Teachers of Mathematics
The Math Forum: Nctm: Ask Dr. Math: Binomial Theorem by Induction
Question-and-answer page about a proof of the Binomial Theorem by induction.
Wolfram Research
Wolfram Mathworld: Binomial Theorem
A math web site on the binomial theorem. Find the binomial formulas for both positive integer exponents and negative integer exponents with this site.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Binomial Expansions and Pascal's Triangle
This site answers a student's question inquiring about the definition of a binomial expansion, where it would be used, and why.
Wolfram Research
Wolfram Science World: Life of Sir Isaac Newton
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...