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13 resources with the concept binomial coefficient

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Other Resource Types (13)
EngageNY

EngageNY Precalculus and Advanced Topics Curriculum

For Teachers 11th - 12th Standards
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...
23 Items in Collection
Lesson Planet

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

For Teachers 11th - 12th Standards
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...
11:59
Lesson Planet

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...
14:19
Lesson Planet

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...
14:20
Lesson Planet

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...
12:38
Lesson Planet

Binomial Theorem (Part 1)

For Students 10th - 12th
In this video, the Binomial Theorem is defined and used to expand (a + b) 4.
10:16
Lesson Planet

Combinations

For Students 10th - 12th
How many different ways can five people be arranged in any order in three chairs? Sal shows how combinations are different than permutations. He derives the formula for finding the combination without repetition.
2 In 2 Collections
Lesson Planet

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....
2 In 2 Collections
Lesson Planet

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...
2 In 2 Collections
Lesson Planet

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...
14:15
Lesson Planet

The Binomial Distribution: Crash Course Statistics #15

For Students 9th - 12th Standards
And here I was thinking binomials were about algebra. The 15th installment of the Crash Course Statistics series focuses on the binomial distribution. It starts off with an example calculating the probability of getting shocked while...
Lesson Planet

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...
4:10
Lesson Planet

Pascal's Triangle

For Students 9th - 12th
How can a triangle help expand binomials? Young mathematicians watch as (x + y)^n is expanded for small values of n to discover patterns in coefficients to develop Pascal's triangle. The problem video then connects Pascal's triangle to...