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Lesson Plan
Curated OER

Rational Expressions

For Teachers 8th - 9th
In this rational expressions worksheet, students solve and complete 10 different problems. First, they find the common denominator in each problem. Then, students simplify by either adding or subtracting depending on the sign shown in each.
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Worksheet
Curated OER

Math Worksheet: Graphs of Rations Functions (2)

For Students 11th
In this Algebra II worksheet, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function.  The two page worksheet contains five problems that relate to the one...
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Worksheet
Curated OER

Rational Expressions

For Students 9th - 10th
In this algebra worksheet, students identify the solution to rational expressions. They solve word problems using the correct formula and equation set up. There are 10 questions with a bonus.
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Worksheet
Curated OER

Solving Linear and Rational Equations and Using the Distributive Law

For Students 8th - 9th
In this linear equations worksheet, students solve linear equation, use the distributive law, and solve rational equations.  Fully worked examples are included.
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Worksheet
Curated OER

Rational Functions and Conics

For Students 11th - Higher Ed
For this math worksheet, learners practice the calculation of rational functions and conics. This worksheet has 6 problems for the students to solve.
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Lesson Plan
Curated OER

Estimating with Rational Numbers

For Teachers 6th - 8th Standards
Learners explore the concept of rounding. In this rounding lesson, students round fractions and mixed numbers. Learners estimate the sums, differences, products, and quotients of rounded fractions and mixed numbers.
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Assessment
3
3
Illustrative Mathematics

Operations with Rational and Irrational Numbers

For Teachers 9th - 12th Standards
Learners complete addition and multiplication tables that include rational and irrational numbers. They also answer a series of questions about the sums and products of irrational and rational numbers. One suggested modification would be...
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Worksheet
Curated OER

Practice With Complex Fractions

For Students 6th - 8th
In this math activity, 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
Curated OER

Rational Numbers as Exponents

For Teachers 9th - 10th
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
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Lesson Plan
Curated OER

Adding Rational Expressions

For Teachers 9th - 10th
In this rational expression worksheet, students find common denominators and then add rational expressions. This one-page worksheet contains ten problems, with answers.
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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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Interactive
1
1
Scholastic

Study Jams! Decimal, Fraction, & Percent Equivalents

For Students 4th - 7th Standards
If percents, fractions, and decimals can all mean the same number how do we go from one to another? During this instructional activity, watch how it goes over the basic steps needed to go from one rational number to the next. Both...
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Lesson Plan
Curated OER

Rational Equations

For Teachers 8th - 9th
For this algebra worksheet, students 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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Lesson Plan
Curated OER

Solving Various Algebraic Equations for Real and Imaginary Roots

For Teachers 10th - 12th
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Worksheet
Curated OER

Thought Log: Correcting Harmful Thoughts

For Students 9th - Higher Ed
A thought log helps people track daily events, their (possibly harmful) internal reactions, and the consequences and behaviors they experience in response to their own thoughts. The last column of the chart provides space to conceive...
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Interactive
CK-12 Foundation

Rational Numbers in Applications: Batch of Brownies as Rational Numbers

For Students 6th - 8th Standards
Sharing is caring—especially with brownies! Young mathematicians use an interactive to split a batch of brownies between several friends given constraints. They answer some challenge questions to check that each friend has the correct...
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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

Rational Numbers in Applications: Pizza with Friends

For Students 6th - 7th Standards
Explore the application of fractions in a real-life situation. Learners manipulate an interactive simulation to model a given scenario. They find fractions of fractions and explain the importance of the part-to-whole comparison.
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Interactive
CK-12 Foundation

When to Use the Distributive Property: Rational Expressions

For Students 6th - 8th Standards
Discover how the distributive property applies to division. As learners change numeric values within an expression, the simulation calculates its value. Challenge questions lead individuals to realize the power of distributing the...
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Interactive
CK-12 Foundation

Properties of Rational Numbers: Lollipop Trees

For Students 6th - 8th Standards
A six-question interactive takes mathematicians to Lollipop Land where they manipulate lollipop trees to make equivalent ratios.  Question types include multiple-choice, true or false, and a discussion. 
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Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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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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Worksheet
Curated OER

Twenty-Six Rationalize Imaginary Denominators

For Students 10th - 12th
In this rationalizing denominators instructional activity, students rationalize imaginary denominators in twenty-six problems.  Sixteen of the problems have denominators that are monomials and ten binomials.  The solutions are provided.

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