Curated OER
Binomial Theorems
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.
Curated OER
Binomial Products
In this binomial products practice activity, students sharpen their math skills as they expand and simplify 10 binomial products.
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance 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...
Curated OER
Pascal's Triangle
In this algebra worksheet, 11th graders solve binomials and trinomials using Pascal's Triangle theorem. They are able to factor out any amount of higher power without having to factor all the way. There are 3 problems.
Curated OER
Sequences and Series
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...
Curated OER
A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials lesson, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Curated OER
Factoring Polynomials
Young mathematicians examine the "Tic-tac-toe" factoring method to factor polynomials. They use algebra tiles to model solutions of binomial multiplication problems. They discuss strategies and observe teacher-made models for solving...
Flipped Math
Quadratics in Vertex Form
It looks different, but yet the same. Scholars view a video that introduces them to the vertex form for a quadratic equation. Pupils realize that though the equation looks different, its graph is still a parabola, and the key features...
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...
Curated OER
Student D
Learners are being evaluated on their math skills. In this algebra lesson, students review basic math skills and are being reviewed for leaning skills that may enhance or inhibit their learning skills. They are scored based on a special...
Curated OER
Credit Cards and Compound Interests-Exponential Growth
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...
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.
Texas Instruments
Texas Instruments: Expanding Binomial Expressions With Symbolic Math Guide App
Students will try to determine a pattern for expanding binomials by using the expand command. Students will then make a conjecture about the expansion of a more complex pair of binomials. Students will then use SMG to take a closer look...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Expanding Binomials and Pascal's Triangle
This Math Forum site explains how expanding binomials relates to Pascal's Triangle.
Khan Academy
Khan Academy: Polynomials: Expand Binomials
Use the Binomial Theorem to expand integer powers of binomial expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Texas Instruments
Texas Instruments: Factoring Trinomials and Expanding Binomial X Binomial
This activity uses CAS(TI-89) to investigate patterns in factoring and expanding. Through the patterning, students construct their alegebraic knowledge on factoring and expanding, rather than be given a set of rules to follow
Texas Instruments
Texas Instruments: How to Use the Graph Screen to Expand Binomials
In this video, you will see how you can use the graph screen to verify that you have expanded a binomial correctly.
Math Warehouse
Math Warehouse: Pascal's Triangle for Expanding Binomials
Reference tool demonstrates how to use Pascal's Triangle to perform binomial expansions.
Purple Math
Purplemath: Binomial Theorem: Formulas
The Binomial Theorem is a process of expanding a binomial that is being raised to a large power. All steps needed to perform the process on a graphing calculator are listed. The concepts of factorials and Pascal's Triangle -- both key to...
Texas Instruments
Texas Instruments: Exploring the Binomial Theorem
Students expand expressions using Pascal's Triangle and verify the results on a Computer Algebra System CAS tool.
Math Notes and Math Tests
Pre Calculus Notes: The Binomial Theorem [Pdf]
The resource investigates the binomial theorem. Topics examined are Pascal?s triangle and expanding powers of general binomials. Class notes and examples are included.
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.