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Handout
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Binomial Expansions and Pascal's Triangle

For Students 9th - 10th Standards
This site answers a student's question inquiring about the definition of a binomial expansion, where it would be used, and why.
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Activity
Texas Instruments

Texas Instruments: Exploring the Binomial Theorem

For Teachers 9th - 10th Standards
Students expand expressions using Pascal's Triangle and verify the results on a Computer Algebra System CAS tool.
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Activity
Texas Instruments

Texas Instruments: The Binomial Formula: Its Expansion Using Pascal's

For Teachers 9th - 10th Standards
This set of questions pertains to the binomial formula and Pascal's triangle. Students will find terms of an expansion and investigate combinations. Questions are short answer, true/false, and multiple-choice; solutions are included.
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Activity
Texas Instruments

Texas Instruments: Introduction to Some Algebra Concelpts Using Cas

For Teachers 9th - 10th Standards
This series of activities provides an introduction to some Algebra concelpts using CAS. The activities start with Algebra tiles and CAS. Patterning is modelled for the students so that they can construct the knowledge rather than be...
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Activity
Texas Instruments

Texas Instruments: Multiplying Binomials

For Teachers 9th - 10th Standards
Use this LearningCheck to practice multiplying 2 binomials.
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Activity
Texas Instruments

Texas Instruments: First Degree Monomials and Binomials

For Teachers 9th - 10th Standards
Students will apply basic operations to monomial and binomial expressions after recognizing the characteristics of polynomials.
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Activity
Texas Instruments

Texas Instruments: Tables

For Teachers 9th - 10th Standards
In this activity, students make use of the Derive software and explore expansions of binomial expressions.
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Activity
Texas Instruments

Texas Instruments: Expanding Binomial Expressions With Symbolic Math Guide App

For Teachers 9th - 10th Standards
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...
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Study Guide
Oswego City School District

Regents Exam Prep Center: Binomial Theorem

For Students 10th - 12th Standards
Students learn about the binomial theorem. The tutorial includes class notes, calculator tips, examples, and practice problems with solutions. The teacher resource investigates the origins of the binomial theorem.
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Handout
Purple Math

Purplemath: Binomial Theorem: Formulas

For Students 9th - 10th Standards
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...
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eBook
Math Planet

Math Planet: Algebra 2: Binomial Theorem

For Students 9th - 10th Standards
Provides an explanation, examples, and a video lesson all related to the binomial theorem. [1:30]
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Unknown Type
McGraw Hill

Glencoe Mathematics: Online Study Tool: Self Check Quiz on Binomial Theorem

For Students 9th - 10th Standards
Learners show understanding of advanced mathematical concepts. The online quiz assesses the students on the binomial theorem.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Degree of a Polynomial

For Students 9th - 10th Standards
Find a quick, concise explanation of how to find the degree of a polynomial. Examples are given and clearly explained for how to find the degree of both a monomial and polynomial after it has been simplified.
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Activity
Analyze Math

Analyze Math: Introduction to Polynomials

For Students 9th - 10th Standards
Students are introduced to polynomials. The tutorial defines monomials, the leading coefficient, binomials, trinomials, and the degree of a polynomial.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Expanding Binomials and Pascal's Triangle

For Students 9th - 10th Standards
This Math Forum site explains how expanding binomials relates to Pascal's Triangle.
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Handout
Math Warehouse

Math Warehouse: Binomial Theorem

For Students 9th - 10th Standards
Resource takes a look at the Binomial Theorem and formula and includes a binomial theorem calculator and practice problems.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A apr.c.5 and a apr.a.1: Powers of 11

For Teachers 9th - 10th Standards
This task has students combine polynomial arithmetic with pattern-matching. Aligns with A-APR.C.5 and A-APR.A.1.
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Unknown Type
Khan Academy

Khan Academy: Divide Polynomials With Remainders

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...
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Unknown Type
Khan Academy

Khan Academy: Polynomials: Expand Binomials

For Students 9th - 10th Standards
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.
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Unknown Type
Khan Academy

Khan Academy: Divide Polynomials by Monomials (With Remainders)

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Binomial Theorem and Expansions

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Exploring the relationship between Pascal's Triangle and the Binomial Theorem
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Unit Plan
Cool Math

Coolmath: The Binomial Theorem Revisited

For Students 9th - 10th Standards
Reference material and practice problems for the binomail theorem.
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Unit Plan
Cool Math

Coolmath: The Binomial Theorem

For Students 9th - 10th Standards
Reference material and practice problems on the binomial theorem.
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Unknown Type
Khan Academy

Khan Academy: Multiply Binomials by Polynomials

For Students 9th - 10th Standards
Use the distributive property to express the product of a binomial and a polynomial as a single polynomial.