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Texas Instruments

Exploring the Binomial Theorem

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

The Binomial Theorem

For Students 9th - 12th
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.
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.  
Lesson Plan
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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.
Worksheet
Curated OER

The Binomial Theorem

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