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Worksheet
Math Mammoth

Add and Subtract Rational Expressions With Unlike Denominators

For Students 6th - 8th
The class solves 19 problems involving rational expressions. They find the least common denominator of fractions, make fractions equivalent and then add or subtract fractions containing rational expressions.
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Lesson Plan
Illustrative Mathematics

Calculating and Rounding Numbers

For Teachers 7th - 9th Standards
Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...
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Activity
Illustrative Mathematics

Identifying Rational Numbers

For Teachers 7th - 9th Standards
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...
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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
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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Lesson Plan
Curated OER

Is Bigger Always Better?

For Teachers 6th - 8th
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
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Lesson Plan
Curated OER

Operations with Positive Fractions and Decimals

For Teachers 5th - 8th
Explore the concept of fractions and decimals! In this fractions and decimals lesson, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct they get to shoot...
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Lesson Plan
EngageNY

The Structure of Rational Expressions

For Teachers 11th - 12th Standards
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
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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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Lesson Plan
1
1
EngageNY

Equivalent Rational Expressions

For Students 10th - 12th Standards
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
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Lesson Plan
EngageNY

Multiplying and Dividing Expressions with Radicals

For Students 9th - 10th Standards
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide radical...
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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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Lesson Plan
Virginia Department of Education

Rational Expressions

For Students 9th - 12th Standards
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
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Lesson Plan
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
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Worksheet
Curated OER

Fractions and Rationals

For Students 5th - 8th
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
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Lesson Plan
2
2
Curated OER

Rational Exponents

For Teachers 9th - 12th Standards
Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
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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
1
1
EngageNY

Adding and Subtracting Expressions with Radicals

For Students 9th - 10th Standards
I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of polygons. 
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Interactive
Curated OER

Rational Numbers

For Students 9th - 11th
In this algebra activity, learners rewrite word problems using algebraic expressions and equations. They use rational numbers to solve their problems. There are 5 questions with an answer key.
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Worksheet
Curated OER

Practice With Complex Fractions

For Students 6th - 8th
In 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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Worksheet
Curated OER

Rational Numbers

For Students 9th
In this rational numbers worksheet, 9th graders solve and complete 12 different problems by dividing each equation. First, they use the division rules given at the top of the sheet to determine how they are going to solve each problems....
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Worksheet
Curated OER

Rational Numbers

For Students 9th
In this rational numbers worksheet, 9th graders solve and complete 12 different problems that include multiplying various rational expressions. First, they find the product of two or more numbers, grouping in pairs. Then, students...
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Worksheet
Curated OER

Leveled Problem Solving Rational Numbers and their Properties

For Students 5th - 7th
In this rational numbers and their properties worksheet, students sharpen their problem solving skills as they solve 6 story problems.