# Binomial Expansion Teacher Resources

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EngageNY

#### 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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#### 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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#### 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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#### Binomial Expansion with Pascal's Triangle

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...

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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 Expansions #2

In this Algebra II worksheet, 11th graders solve problems in which they find the indicated term of the binomial expansion. The two page worksheet contains a combination of ten multiple choice and free response questions. Answers are...

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#### Regents Exam - Powers: Binomial Expansions

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

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#### Binomial Expansions

In this algebra worksheet, students factor and expand equations using binomial expansion. They identify coefficients of different terms. There are forty-four questions with an answer key.

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#### Binomial Expansion

In this algebra worksheet, students expand the binomial with the binomial expansion theorem in order to find the coefficient of a given term. There are 4 questions.

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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.

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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

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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#### Binomial Expansion: Find the Coefficient

In this algebra worksheet, high schoolers expand a binomial to a given power in order to determine the coefficient of a given term using the binomial expansion theorem. There are 4 questions.

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#### 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...

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#### Binomial Expansions 3

In this Algebra II activity, 11th graders apply the binomial theorem to expand a binomial and determine a specific term of the expansion. The one page activity contains four problems. Answers are provided.

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#### Binomial Expansion and Pascal’s Triangle

Students explore binomial expansion and Pascal's Triangle. In this math lesson, students discuss the equations used with binomial expansion and Pascal's triangle. Students solve problems.

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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 Expansion

In this binomial expansion worksheet, students 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....

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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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#### The Difference Quotient (Quadratic Function) Example 2

Use a calculus concept to build algebra skills. A helpful Mathispower4u Algebra 1 video uses the difference quotient, a typical expression from calculus, to show different algebraic techniques. Pupils observe applications of function...

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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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#### Expand the Binomial Problems

In this binomial expansion activity, students expand four binomials. The largest power for expansion is six. The solutions are not provided.

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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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