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Lesson Plan
Virginia Department of Education

Evaluating and Simplifying Expressions

For Teachers 6th - 9th Standards
Discover how algebra tiles help evaluate expressions. Scholars learn to use algebra tiles to substitute values in for variables and evaluate expressions. The included worksheet contains a set of evaluation problems to assess individuals'...
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Interactive
CK-12 Foundation

Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms

For Students 7th - 9th Standards
Investigate the process of combining like terms using an interactive animation. Scholars tackle simplifying expressions by manipulating rectangles that represent the terms. They add and subtract terms to arrive at the result.
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Lesson Plan
West Contra Costa Unified School District

Simplifying Radicals – Day 1

For Teachers 8th - 10th
It doesn't get simpler than this. Scholars first learn to simplify radicals by determining the prime factors of the radicand. The lesson progresses to simplifying radicals involving algebraic expressions in the radicand.
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Interactive
CK-12 Foundation

Sums and Differences of Single Variable Expressions: Algebraic Soup

For Students 7th - 9th
Alphabet soup just got an upgrade. Pupils drag expressions from algebraic soup to indicate whether it is a like term to x or to y. Some challenge questions require combining the like terms to simplify expressions.
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Lesson Plan
Willow Tree

Simplifying Square Roots

For Students 7th - 10th Standards
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...
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Lesson Plan
Virginia Department of Education

Simplifying Square Roots of Whole Numbers

For Teachers 7th - 9th Standards
Simplify your life by using a resource on simplifying square roots. Pupils review square roots and calculate values of given radical expressions using a calculator. The lesson concludes by having them consider the results to develop the...
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Workbook
Utah Education Network (UEN)

Expressions and Equations

For Students 6th Standards
Variables may be unknown, but expressions and equations are easy to understand. Pupils learn to write, evaluate, and simplify numeric and algebraic expressions. They also investigate how to write and solve simple equations and...
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Workbook
1
1
Utah Education Network (UEN)

Expressions and Equations Part 1

For Students 7th Standards
Express your love of equations! Pupils first learn to write and simplify numerical and algebraic expressions. Then, create and solve two-step equations. The progression is a great way to introduce the concept slowly.
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Interactive
CK-12 Foundation

Simplify Products or Quotients of Single Variable Expressions: Circling C's

For Students 7th Standards
Model expression division using online manipulatives. Learners drag C's representing a term into equal groups. Guiding questions help them see their groups as the division of the term.
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Interactive
CK-12 Foundation

Change of Base: River Logs

For Students 11th - Higher Ed Standards
Using the answers to the challenge questions, class members work through simplifying a complex logarithmic expression that requires changing bases. Pupils drag values to fill in the steps to arrive at a numerical equivalent expression.
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Instructional Video5:41
Corbett Maths

Simplifying Algebraic Fractions

For Students 8th - 12th Standards
Simplification is about factoring. While working with rational expressions, pupils must know how to factor. The video shows how the process of finding common factors in algebraic fractions is similar to finding common factors in...
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Worksheet
Lorain County Community College

Review of Equations

For Students 7th - 10th Standards
Dive head-first into this instructional activity full of inverse operations, distributing, and combining like terms. Let your learners try these challenging problems to test their skills with multi-step equations and simplifying...
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Worksheet
Lorain County Community College

Solving Equations Using the Addition Property

For Students 6th - 10th Standards
Challenge your mathematicians to simplify and solve a variety of different equations. This worksheet focuses on multi-step problems that begin with combining like terms and advance toward solving equations with variables on both sides. A...
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Lesson Plan
1
1
Virginia Department of Education

Exponents and Radicals

For Teachers 9th - 12th Standards
What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.
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Activity
Math Solutions

Dr. Seuss Comes to Middle School Math Class

For Teachers 6th - 8th Standards
If you think Dr. Seuss has no place in a math classroom, then take a look at this resource. Based on the classic children's book Green Eggs and Ham, this sequence of activities engages children learning to model real-world contexts with...
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Interactive
CK-12 Foundation

Simplification of Radical Expressions: Irrational Garden Plot

For Students 8th - 10th
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
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Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...
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Interactive
CK-12 Foundation

Simplify Products or Quotients of Single Variable Expressions: Quotients of Single Variable Expressions

For Students 7th - 9th Standards
Investigate division within an algebraic term using an inquiry-based lesson. Individuals adjust sliders and watch as the simplification of the term changes. Questions help guide them to important conclusions.
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Instructional Video8:18
Corbett Maths

Multiplying Algebraic Fractions

For Students 8th - 12th Standards
Make the complicated look relatively simple. The video shows how multiplication of algebraic fractions is easier when they factor the numerators and denominators. Pupils see which factors will cancel, or divide out, easier when writing...
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Lesson Plan
Illustrative Mathematics

The Physics Professor

For Teachers 8th - 12th Standards
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
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Lesson Plan
Willow Tree

Rational vs. Irrational Numbers

For Students 7th - 10th Standards
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
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Lesson Plan
Willow Tree

Scientific Notation

For Students 7th - 10th Standards
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation. 
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Assessment
Mathed Up!

Surds

For Students 8th - 11th
Young mathematicians learn how to simplify expressions with square roots by watching a video that shows several ways to rewrite expressions involving radicals. They work on questions where they rationalize denominators and expand and...
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Lesson Plan
Willow Tree

Order of Operations

For Students 7th - 10th Standards
It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include absolute...

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