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...
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...
Math eBook
Binomial Coefficient
For this binomial coefficient worksheet, learners identify the binomial coefficient in each polynomial expansion given. This four-page worksheet contains 20 problems. This interactive worksheet may be completed on-line or presented in...
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...
Curated OER
The Binomial Theorem
In this binomial expansions practice worksheet, students utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.
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...
Curated OER
Binomial Expansion
In this algebra worksheet, learners expand the binomial with the binomial expansion theorem in order to find the coefficient of a given term. There are 4 questions.
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 Expansions
In this algebra worksheet, learners factor and expand equations using binomial expansion. They identify coefficients of different terms. There are forty-four questions with an answer key.
Curated OER
Binomial Expansion
In this binomial expansion worksheet, students solve and complete 81 various types of problems. First, they find the given sum and evaluate each factorial notation. Then, students expand each binomial and write only the coefficients....
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.
Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
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....
Curated OER
Synthetic Division Review
In this synthetic division worksheet, students use synthetic division to divide a binomial. Explanations and examples are provided. This three-page worksheet contains ten problems, with answers.
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...
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
A Triangle Expansion
Students review the foil method used to multiply two binomials. For this lesson on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of multiplying...
Curated OER
Special Products
In this special products worksheet, 9th graders solve and complete 28 different problems that include using special products to multiply certain polynomials. First, they write each binomial twice and multiply using the FOIL method or the...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
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
Polynomials
For this polynomials worksheet, 9th graders solve and complete 24 different problems that include various polynomials. First, they determine which of those listed are binomials. Then, students simplify numerous polynomials by...
Curated OER
Quadratic Equations and Binomial Square Theorem
Pupils factor quadratic equations. In this algebra activity, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
Flipped Math
Unit 1 Review: Analyze Graphs and Expressions
Get in one last practice. Pupils work through 12 problems and a performance task to review the topics in Unit 1. The problems cover analyzing and modeling with graphs, algebraic properties of equality, and adding, subtracting, and...
Flipped Math
Add and Subtract Polynomials
Adding and subtracting polynomials is as easy as adding like terms. Pupils watch a video introducing polynomials and how to use a known procedure to add and subtract the polynomials. Class members work a few problems and check them...