Binomial Theorem Teacher Resources

Find Binomial Theorem lesson plans and worksheets
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Instructional Video12:38
Curated OER

Binomial Theorem (Part 1)

For Students 10th - 12th
In this video, the Binomial Theorem is defined and used to expand (a + b) 4.
Instructional Video11:59
Curated OER

Binomial Theorem (Part 3)

For Students 10th - 12th
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...
Lesson Plan
1
1
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...
Instructional Video14:20
Curated OER

Binomial Theorem (Part 2)

For Students 10th - 12th
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...
Instructional Video14:20
Khan Academy

Binomial Theorem (Part 2)

For Students 10th - 12th
Sal shows two ways to calculate the coefficients of a binomial expansion quickly. The first method shows the relationship between PascalÕs triangle and the coefficients, and the second method shows an even faster way to write the...
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.
Worksheet
Curated OER

The Binomial Theorem

For Students 9th - 12th
In this binomial expansions practice worksheet, high schoolers utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.
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...
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
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.
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...
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. 
Instructional Video12:42
Curated OER

Poisson Process 2

For Students 7th - 11th
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...
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....
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.
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...
Lesson Plan
Curated OER

Binomial Theorems

For Teachers 9th - 11th
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.
Instructional Video7:03
Khan Academy

Proof: d/dx(x^n)

For Students 11th - Higher Ed
Using the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.
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.
Worksheet
Curated OER

The Binomial Theorem

For Students 10th - 12th
Learners simplify 3 series multiplication problems, one fraction , and six matrix problems. They expand 12 binomials,  Students find the specified term of four binomials.
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...
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. 
Instructional Video4:20
Mathispower4u

A Discussion: Zero to the Power of Zero - 0^0

For Students 11th - Higher Ed
What's the value of 0^0? It turns out that there's a bit of controversy. A short YouTube video describes different interpretations of the value of the expression. It shows the case for 0^0 being undefined and the case for 0^0 being equal...
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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