# Binomial Theorem Teacher Resources

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#### EngageNY Precalculus and Advanced Topics Module 3: Rational and Exponential Functions

In Module 3, precalculus students review the fundamental theorem of algebra, and then find roots of polynomials and roots of unity using polynomial identities, the binomial theorem, and Pascal’s Triangle. As part of their study of...

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#### EngageNY Precalculus and Advanced Topics Curriculum

A 5-module complete precalculus course begins with young mathematicians exploring linearity, complex number operations as transformation, and the power of the right notation. Module 2 has pupils examining incidence relationships in...

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#### Algebra: High School Common Core Math

All Algebra, all the time! Here is a compiled list of resources that address all of the standards regarding Algebra Common Core for high school. Each resource has the main standard it addresses under the notes section of the item.

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#### Using the Binomial Theorem

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...

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#### Binomial Theorem (Part 1)

In this video, the Binomial Theorem is defined and used to expand (a + b) 4.

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#### Exploring the Binomial Theorem

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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#### Binomial Theorem (Part 3)

In this video on the Binomial Theorem, Sal tries to give an intuition behind why combinations are part of its definition. By looking at the expansion of (a + b)3 and carefully looking at where each value originates from, one can see how...

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#### Binomial Theorem (Part 2)

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...

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#### Binomial Theorem (Part 2)

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#### The Binomial Theorem

In this Binomial Theorem worksheet, students solve 10 different problems that include applying the Binomial Theorem in each.

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#### The Binomial Theorem

In this binomial expansions practice 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.

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#### 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...

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#### 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.

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#### 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.

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#### 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...

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#### 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.

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#### Poisson Process 2

Continuing his discussion of the Poisson Distribution (or Process) from the previous video, Sal takes students through the derivation of the traffic problem he had begun. The math gets gritty in this video as Sal takes out the graphic...

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#### 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....

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#### 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.

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#### Binomial Theorem

In this binomial theorem worksheet, students expand given binomials. They write an equation to identify the nth term of a sequence. This one-page worksheet contains 15 problems.

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#### 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...

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#### Binomial Theorems

In this algebra worksheet, students identify the coefficient and different terms of a binomial. They use binomial expansion to find their answer. There are 7 questions with an answer key.

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#### Proof: d/dx(x^n)

Using the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.

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#### Binomial Expansion

In this algebra worksheet, students expand binomials and identify different terms. They expand the function using the binomial theorem. There are forty-four questions with an answer key.