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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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Assessment
Los Angeles County Office of Education

California State Standards: Algebra I

For Students 8th - 10th Standards
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a variety of ways to...
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Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
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Worksheet
Curated OER

Simplifying Rational Expressions.

For Students 8th - 11th
In this algebra worksheet, student simplify rational expressions. They use properties of exponential functions to solve. There are 79 questions.
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Worksheet
Curated OER

Rational Expressions

For Students 8th - 10th
In this algebra activity, students identify the greatest common factor to simplify equations. They cancel out GCF to reduce rational expressions. They find the LCD for addition and subtraction problems.
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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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Workbook
1
1
University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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Handout
Charleston School District

Estimating Values of Expressions

For Students 8th Standards
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
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Worksheet
Curated OER

Multiplying and Dividing Rational Expressions

For Students 8th - 9th
In this algebra worksheet, learners simplify rational expressions. They multiply and divide to solve the expressions. There are 9 questions.
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Worksheet
Raytheon

Simplifying and Combining Algebraic Expressions

For Students 8th - 9th
In this simplifying and combining algebraic expressions learning exercise, students solve 100 problems that simplify monomials, radicals and rational expressions, solve 38 problems combining expression, then solve 40 questions in a test...
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Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 7th - 9th
In this adding and subtracting rational expressions worksheet, students solve 22 problems with complex denominators. Eight problems have common denominators, for the other 14, students must first multiply to find the common denominator.
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Worksheet
Curated OER

Rational Equations 9-5

For Students 8th - 10th
Algebra learners practice solving various rational equations by finding the LCD and multiplying both sides of the equation. There are nine problems on this worksheet geared towards algebra 1. 
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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
Curated OER

Addition and Subtraction of Rational Expressions

For Teachers 8th - 11th
In this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
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Lesson Plan
Curated OER

Rational Equations and Proportions

For Teachers 7th - 8th
In this rational equations worksheet, students solve and complete 11 various types of problems. First, they find a number that is the reciprocal of one described in each statement. Then, students solve for the variable in each expression.
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Instructional Video5:31
Corbett Maths

Dividing Algebraic Fractions

For Students 8th - 12th Standards
Do the keep, change, flip dance. The resource shows that the division of algebraic fractions follows the same rules as dividing numerical fractions. Pupils understand that if they can multiply rational expressions, they can divide...
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Lesson Plan
West Contra Costa Unified School District

Lowest Common Multiple through the Grades

For Teachers 8th - 10th Standards
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
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Worksheet
Curated OER

Multiplying and Dividing Rational Expressions

For Students 8th - 11th
In this algebra learning exercise, students solve rational expression with multiplication and division. They factor and simplify. There are 6 questions with an answer key.
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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
Curated OER

Adding and Subtracting Rational Expressions 9-4

For Students 7th - 9th
In this addition and subtraction worksheet, learners solve 15 problems in which they add or subtract with monomial denominators, binomial denominators, and complex fractions.
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Worksheet
Curated OER

Rational Exponents

For Students 8th - 9th
Simplify algebraic expressions involving rational exponents using this one page interactive worksheet. It contains five multiple choice questions and is self checking.
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Activity
Education Development Center

Rational Exponents

For Teachers 8th - 10th Standards
It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...
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Activity
Education Development Center

Sum of Rational and Irrational is Irrational

For Teachers 8th - 9th Standards
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
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Instructional Video7:00
Corbett Maths

Adding Algebraic Fractions

For Students 8th - 12th Standards
The process requires the combination of several concepts. A video shows how individuals need several concepts to add rational expressions. Pupils must remember they need to find common denominators, combine like terms, and use the...

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