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Lesson Plan
Curated OER

Simplifying Complex Rational Expressions

For Teachers 9th - 11th
Here is a practice worksheet that contains 16 problems on simplifying complex fractions. The problems start out basic and gradually be come more complex. There is an example included with two different solution methods shown. 
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Lesson Plan
1
1
EngageNY

Multiplying and Dividing Rational Expressions

For Students 10th - 12th Standards
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 
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Lesson Plan
West Contra Costa Unified School District

Connecting Fractions and Rational Expressions

For Teachers 8th - 10th Standards
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
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Lesson Plan
Curated OER

Dividing Rational Expressions

For Teachers 8th - 11th
In this  worksheet, young scholars divide rational expressions and write the answer in simplest form. The problems start out as fractions with monomials and gradually become more complex with factoring required. This one-page worksheet...
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Lesson Plan
1
1
EngageNY

Adding and Subtracting Rational Expressions

For Students 10th - 12th Standards
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
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Worksheet
Curated OER

Practice With Complex Fractions

For Students 6th - 8th
For this math worksheet, students find the solutions to the complex fractions. They practice finding the common denominators for each part of the rational expression.
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Lesson Plan
Virginia Department of Education

Complex Numbers

For Teachers 10th - 12th
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...
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Lesson Plan
EngageNY

Solving Rational Equations

For Students 10th - 12th Standards
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
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Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 9th - 11th
For this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
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Lesson Plan
Curated OER

Simplifying Complex Rational Expressions: Extra Practice 28

For Teachers 9th - 10th
In this math worksheet, learners compute with complex fractions. Each problem involves dividing fractions as well as adding or subtracting. Problems are written as complex fractions, and students may need to find common denominators...
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Worksheet
Curated OER

Adding and Subtracting Rational Expressions 9-4

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

Adding and Subtracting Rational Expressions

For Students 7th - 9th
In this adding and subtracting rational expressions activity, 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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Lesson Plan
Alabama Learning Exchange

As If Numbers Weren't Complex Enough Already!

For Teachers 9th - 12th Standards
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
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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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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Lesson Plan
Curated OER

Complex Fractions

For Teachers 9th - 11th
In this algebra worksheet, students divide complex fractions using properties of division and reciprocals. They are to get rid of all negative exponents. There are 48 problems.
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Worksheet
Curated OER

Math Honors 2: Semester 1 Review

For Students 10th - 12th
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
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Lesson Plan
Curated OER

Dividing Radical Expressions

For Teachers 8th - 9th
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
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Lesson Plan
Curated OER

Rational Equations

For Teachers 8th - 9th
In this algebra worksheet, learners find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
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eBook
Rice University

Intermediate Algebra

For Students 9th - 12th Standards
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...