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Unit Plan
Khan Academy

Khan Academy: Combining Like Terms

For Students 5th - 7th
Simplify algebraic expressions by combining like terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Activity
The Math League

The Math League: Introduction to Algebra

For Students 9th - 10th Standards
This introduction offers help on a variety of topics in algebra, such as variables, expressions, equations, and simplifying.
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Handout
Purple Math

Purplemath: Simplifying With Parentheses

For Students 6th - 8th Standards
Explains, with worked examples, how to simplify expressions which involve parentheses and variables, including how to take a negative through the parentheses.
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Activity
Other

Dan's Math: Basic Skills Topics

For Students 9th - 10th Standards
College professor Dan Bach offers a review of various basic topics in arithmetic, pre-algebra, and algebra. Order of operations, exponents, square roots, variables, and combining terms are just a few of the many topics covered.
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Unknown Type
University of Waterloo (Canada)

University of Waterloo: Cemc: Math Circles: Exponents [Pdf]

For Teachers 9th - 10th
This worksheet provides exercises in writing expressions in exponential form, multiplying and dividing powers, and working with zero and negative exponents. A series of challenging word problems are included.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Multiply Terms

For Students 9th - 10th Standards
Students learn about the concept of multiplying terms by exploring a tutorial. They can then test their knowledge by taking a ten question assessment that increases in difficulty as they correctly answer questions.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Distributive Property, Multiply by an Integer

For Students 6th - 9th Standards
Mangahigh is a website with math games aimed at twelve to eighteen year olds. On this site students multiply across single parenthesis using a constant.
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Activity
Lawrence Hall of Science

The Math Page: Skill in Algebra: Adding Like Terms

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains adding like terms, including terms with signs and terms within parentheses. There are example problems solved, problems for the student to attempt, and answers to the student problems....
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Activity
Lawrence Hall of Science

The Math Page: Skill in Algebra: Removing Grouping Symbols

For Students 9th - 10th
Here is a site that clearly and thoroughly explains removing grouping symbols like parentheses, braces, and brackets. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
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Lesson Plan
Alabama Learning Exchange

Alex: Battle to the Death: Adding Integers

For Teachers 6th - 8th
The goal of this lesson plan is for students to use manipulatives to add integers, creating concepts rather than memorizing rules. This lesson plan will be related to the 300 Spartans who battled the invading Persians at the Battle of...
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Activity
Wyzant

Wyzant: Exponents of Polynomials Worksheet

For Students 9th - 10th Standards
Twenty practice problems are presented where polynomials (mostly binomials) in parenthesis are raised to number exponents. Each of the questions has a step-by-step solution for the student to see after completing the work on their own....
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Activity
Help Algebra

Help algebra.com: Rationalizing the Denominator

For Students 9th - 10th
Learn to simplify radical expressions by removing radicals from denominators. The demonstration includes both single radicals and binomials that require the use of a conjugate.
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Unit Plan
Wyzant

Wyzant: Simplifying Using the Distributive Property

For Students 9th - 10th Standards
Students investigate how to simplify using the distributive property. The resource consists of lessons with examples, an expression simplifying calculator, and a worksheet to check for comprehension.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Addition and Subtraction of Radicals

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to simplify expressions involving the addition and subtraction of radicals.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Exponential Terms Raised to an Exponent

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Simplify expressions that involve exponential terms being raised to a higher power.
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Activity
Wyzant

Wyzant: Simplifying Using the Foil Method

For Students 9th - 10th
The distributive property is demonstrated using the FOIL method. (FOIL stands for First, Outer, Inner, and Last.) Several examples are given and students can practice using the online worksheet.
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Activity
Help Algebra

Help algebra.com: Positive Integer Exponents

For Students 9th - 10th Standards
The Product of a Power and Power to a Power laws of exponents are introduced. Examples are included to demonstrate how to simply expressions with these laws.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Simplification of Radical Expressions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers adding, subtracting, and multiplying square roots.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Video Game Scores

For Teachers 4th - 8th Standards
Standard 5.OA.2 asks students to "Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them." This task asks students to exercise both of these complementary skills,...
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Activity
Help Algebra

Help algebra.com: Getting Rid of Parentheses

For Students 9th - 10th
Resource explains how to simplify several types of expressions that contain expressions using the properties of addition and multiplication and applying the properties with the order of operations.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Exponential Properties Involving Quotients

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to apply basic properties of exponents in quotients.
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Activity
Texas A&M University

Wtamu Virtual Math Lab: Beginning Algebra: Subtracting Real Numbers

For Students 9th - 10th Standards
A good refresher on how to perform subtraction with real numbers. Covers subtracting numbers with the same and different signs and simplifying expressions that have subtraction. View sample problems and complete practice exercises.
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Beginning Algebra: Multiplying Polynomials

For Students 9th - 10th Standards
A tutorial that shows you how to multiply polynomials and how to use the FOIL method when multiplying binomials.
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Whiteboard
ClassFlow

Class Flow: Distribute and Simplify

For Teachers 6th - 8th Standards
[Free Registration/Login Required] This one is a beginner flipchart on Distribution and Simplification.

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