Curated OER
Series Review Sheet
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.
Texas Instruments
Exploring the Binomial Theorem
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...
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...
Mathematics Assessment Project
Generating Polynomials from Patterns
Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
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...
Mathwire
Shamrock Paths
What could St. Patrick's Day and Pascal's triangle possibly have in common? Trace the pattern in a holiday-themed activity that prompts learners to find the word shamrock as many times as they can.
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.
Mathematics Assessment Project
Representing Polynomials
Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
Curated OER
Exploring Solving Equations
Put out by Texas Instruments, this instructional activity involves learners in an activity focused on adding polynomials, solving equations, factoring trinomials, and expanding binomials. A TI-89 calculator is needed to complete this...
University of Regina (Canada)
University of Regina: Math Central: The Binomial Theorem and the Principle of Inclusion & Exclusion p.i.e.
Get an explanation of the Principle of Inclusion and Exclusion and work through a proof using the Binomial Theorem. This resource concludes with two examples.
University of Vienna (Austria)
University of Vienna: Binomial Formulae
Seven multiple choice interactive exercises which assess knowledge of squaring of binomials.
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Pascal's Triangle and the Binomial Theorem
Nineteen problems present a variety of practice working with Pascal's Triangle and Binomial Theorem. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the...
Interactive Mathematics
Interactive Mathematics: The Binomial Theorem
This tutorial contains detailed information about the Binomial Theorem. Includes practice exercises and interactives.
Houghton Mifflin Harcourt
Holt, Rinehart and Winston: Homework Help Independent Practice: Multiplying Binomials
Get independent practice working with multiplying binomials. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
Wolfram Research
Wolfram Math World: Binomial
This site defines the term binomial, and comprises mostly of links to termonology to understand the definition.
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.
Wolfram Research
Wolfram Mathworld: Binomial Theorem
A math web site on the binomial theorem. Find the binomial formulas for both positive integer exponents and negative integer exponents with this site.