Texas Instruments
Exploring the Binomial Theorem
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...
EngageNY
Mid-Module 3 Assessment Task
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....
EngageNY
The Binomial Theorem
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...
EngageNY
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...
PHET
Area Model Algebra
Expand the pupils knowledge of using area models to algebra. The interactive allows learners to use the same procedure of getting partial products when multiplying multi-digit numbers to multiplying polynomials. Scholars see how the...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 3
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
Alabama Learning Exchange
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...
CK-12 Foundation
Pascal's Triangle: Pyramid Blocks
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...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Curated OER
The Binomial Theorem
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.
Curated OER
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.
Curated OER
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.
Curated OER
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.
Curated OER
Binomial Expansion
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.
Curated OER
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. ...
Curated OER
L5.3 Worksheet: Multiplying and Factoring Polynomials
In this multiplying and factoring polynomials activity, students solve 25 short answer problems. Students FOIL binomials, expand binomials, factor perfect square trinomials, etc.
Curated OER
Binomial Expansions 3
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.
Curated OER
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.
Curated OER
Binomial Expansion: Find the Coefficient
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.
Curated OER
Expand the Binomial Problems
In this binomial expansion worksheet, students expand four binomials. The largest power for expansion is six. The solutions are not provided.
National Council of Teachers of Mathematics
The Math Forum: Exploring Pascal's Triangle
Every grade level can learn from Pascal's Triangle, and this site helps make it possible. There are explanations, examples, exercises and printable worksheets available.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: The Binomial Theorem
Using this tutorial, you'll learn how to evaluate a factorial, find a binomial coefficient, and use the binomial theorem through several example problems and practice exercises.
University of Saskatchewan (Canada)
University of Saskatchewan: Expanding Binomials
Provides discussion on binomial expansion. Works through an example of this concept and provides example problems.
National Council of Teachers of Mathematics
The Math Forum: Nctm: Ask Dr. Math: Binomial Theorem by Induction
Question-and-answer page about a proof of the Binomial Theorem by induction.