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Handout
Curated OER

Series Review Sheet

For Students 9th - 12th Standards
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. 
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Lesson Plan
1
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Texas Instruments

Exploring the Binomial Theorem

For Teachers 9th - 12th Standards
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...
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Assessment
EngageNY

Mid-Module 3 Assessment Task

For Teachers 11th - 12th Standards
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....
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Lesson Plan
EngageNY

The Binomial Theorem

For Teachers 11th - 12th Standards
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...
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Lesson Plan
EngageNY

The Binomial Theorem

For Teachers 11th - 12th Standards
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...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
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,...
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
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...
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Lesson Plan
Alabama Learning Exchange

Binomial Expansion—Shortcut Please

For Teachers 9th - 12th Standards
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...
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Worksheet
Curated OER

The Binomial Theorem

For Students 9th - 12th
In this binomial expansions practice worksheet, students utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.
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Worksheet
Curated OER

Senior Analysis

For Students 9th - 12th
A good review worksheet on simplifying rational expressions, solving equations with factorials, solving problems on permutations and combinations, and using the Binomial Theorem.  
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Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 5th - 11th
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.
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Worksheet
Curated OER

The Binomial Theorem

For Students 9th - 12th
For this Binomial Theorem worksheet, students solve 10 different problems that include applying the Binomial Theorem in each.
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Lesson Plan
Curated OER

Practice: Binomial Expansions

For Teachers 10th - 12th
Practice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.
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Worksheet
Curated OER

Sequences and Series

For Students 11th
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...
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Article
University of Regina (Canada)

University of Regina: Math Central: The Binomial Theorem and the Principle of Inclusion & Exclusion p.i.e.

For Teachers 9th - 10th Standards
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.
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Activity
University of Vienna (Austria)

University of Vienna: Binomial Formulae

For Students 9th - 10th Standards
Seven multiple choice interactive exercises which assess knowledge of squaring of binomials.
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: The Binomial Theorem

For Students 9th - 10th Standards
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.
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Lesson Plan
Other

Binomial Coefficients

For Teachers 9th - 10th Standards
Contains a brief activity on binomial coefficients.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Pascal's Triangle and the Binomial Theorem

For Students 9th - 10th Standards
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...
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Unit Plan
Interactive Mathematics

Interactive Mathematics: The Binomial Theorem

For Students 9th - 10th Standards
This tutorial contains detailed information about the Binomial Theorem. Includes practice exercises and interactives.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Nctm: Ask Dr. Math: Binomial Theorem by Induction

For Students 9th - 10th Standards
Question-and-answer page about a proof of the Binomial Theorem by induction.
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Activity
Wolfram Research

Wolfram Mathworld: Binomial Theorem

For Students 9th - 10th Standards
A math web site on the binomial theorem. Find the binomial formulas for both positive integer exponents and negative integer exponents with this site.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Binomial Expansions and Pascal's Triangle

For Students 9th - 10th Standards
This site answers a student's question inquiring about the definition of a binomial expansion, where it would be used, and why.
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Website
Wolfram Research

Wolfram Science World: Life of Sir Isaac Newton

For Students 9th - 10th
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...