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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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Lesson Plan
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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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Lesson Plan
Curated OER

Binomial Expansion

For Teachers 9th - 11th
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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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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Lesson Plan
Curated OER

Binomial Expansions #2

For Teachers 11th
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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Lesson Plan
Curated OER

Regents Exam - Powers: Binomial Expansions

For Teachers 9th - 12th
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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Lesson Plan
Curated OER

Binomial Expansions

For Teachers 8th - 10th
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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Worksheet
Curated OER

Binomial Expansion

For Students 9th - 12th
In this algebra instructional activity, high schoolers 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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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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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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Worksheet
Curated OER

Binomial Expansions 3

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

Binomial Expansion: Find the Coefficient

For Students 9th - 12th
In this algebra worksheet, students 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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Lesson Plan
Curated OER

Binomial Expansion

For Teachers 11th - Higher Ed
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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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
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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Worksheet
Curated OER

Expand the Binomial Problems

For Students 10th - 12th
In this binomial expansion worksheet, students expand four binomials.  The largest power for expansion is six.  The solutions are not provided.
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Lesson Plan
Curated OER

A Triangle Expansion

For Teachers 9th - 12th
Learners review the foil method used to multiply two binomials. In this lesson on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of multiplying...
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Worksheet
Curated OER

L5.3 Worksheet: Multiplying and Factoring Polynomials

For Students 9th - 12th
In this multiplying and factoring polynomials worksheet, high schoolers solve 25 short answer problems.  Students FOIL binomials, expand binomials, factor perfect square trinomials, etc.
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Lesson Plan
Curated OER

Binomial Theorems

For Teachers 9th - 11th
In this algebra worksheet, learners 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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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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Worksheet
Math eBook

Binomial Coefficient

For Students 9th - 11th
For this binomial coefficient activity, learners identify the binomial coefficient in each polynomial expansion given. This four-page activity contains 20 problems. This interactive activity may be completed on-line or presented in...
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Interactive
CK-12 Foundation

Pascal's Triangle: Pyramid Blocks

For Students 9th - 12th Standards
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...
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eBook
Rice University

Introductory Statistics

For Students 9th - Higher Ed Standards
Statistically speaking, the content covers several grades. Featuring all of the statistics typically covered in a college-level Statistics course, the expansive content spans from sixth grade on up to high school. Material comes from a...
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Worksheet
Curated OER

Pascal's Triangle

For Students 11th
For this algebra worksheet, 11th graders solve binomials and trinomials using Pascal's Triangle theorem. They are able to factor out  any amount of higher power without having to factor all the way. There are 3 problems.