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Worksheet
Curated OER

Solving Rational Equations

For Students 9th - 11th
For this rational equations worksheet, students identify the least common multiple and solve rational equations. This two-page worksheet contains 18 problems.
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Workbook
Utah Education Network (UEN)

Extending the Number System

For Students 6th Standards
Don't feel negative about negative numbers. Individuals extend their knowledge of positive numbers and fractions to rational numbers. They see how to represent negative rational numbers on a number line, learn about opposites and...
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Handout
Charleston School District

Comparing and Ordering Irrational Numbers on a Number Line

For Students 8th - 9th Standards
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
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Lesson Plan
EngageNY

Statements of Order in the Real World

For Students 6th Standards
Positive and negative numbers are all around us. Groups read short story contexts and identify a rational number that represents the values in the context. They order the rational numbers and interpret statements of inequality.
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Lesson Plan
Curated OER

College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
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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
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
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Interactive
Curated OER

Review of Pre-Algebra

For Students 7th - 9th
Middle and high schoolers review topics covered Pre-Algebra. They solve problems questions dealing with exponents, square roots and absolute value. They use the rules of divisibility and identify prime numbers. This two-page on-line...
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Worksheet
Curated OER

Compare and Order Numbers - Reteach 1.3

For Students 5th - 6th
Fifth and sixth graders read the information on how to compare decimal numbers to the thousandths place. They solve seven problems with comparing and ordering.
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Lesson Plan
EngageNY

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
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Lesson Plan
Curated OER

Multiplication and Division of Rational Expressions

For Teachers 9th - 10th
In this rational expression worksheet, learners multiply and divide rational expressions. They solve 24 problems on this two-page worksheet.
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Worksheet
Curated OER

Properties of Real Numbers

For Students 9th
In this properties of real numbers worksheet, 9th graders solve and complete 24 different problems that include applying the various property types of real numbers. First, they name the set of numbers to which each number belongs. Then,...
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Lesson Plan
Curated OER

Add Rational Expressions

For Teachers 12th - Higher Ed
In this rational expression worksheet, students add, subtract and write rational numbers in their lowest terms. This two-page worksheet contains five problems.
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Activity
Education Development Center

Word Problem with Rational Numbers—Balancing Bars of Soap

For Teachers 4th - 5th Standards
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
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Lesson Plan
Illustrative Mathematics

Shrinking

For Teachers 6th - 8th Standards
Is Aunt Nancy shrinking? Find out by calculating with the average height women lose each year. The activity practices multiplying and dividing with decimals and rounding the final answer.
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Lesson Plan
Virginia Department of Education

Integers: Addition and Subtraction

For Teachers 5th - 8th Standards
Young mathematicians construct their own understanding of integers with an inquiry-based math lesson plan. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
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Lesson Plan
Curated OER

Rational and Irrational Numbers 2

For Teachers 9th - 12th Standards
Is the circumference of a circle always, sometimes, or never rational? Learners answer questions individually and also work in groups to look at sums and products of rational and irrational numbers. They must also be able to use the...
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Worksheet
Curated OER

Properties of Numbers

For Students 9th - 11th
In this algebra activity , students apply the properties of numbers to answer problems written in a certain way, The answer must make the property a true statement. There are 32 questions with an answer key.
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Worksheet
Curated OER

Fractions and Arithmetic

For Students 5th - 6th
Fifth and sixth graders complete fraction problems involving mixed numbers, word problems, addition of fractions, variables in fractions, and more. They complete five problems.
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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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Activity
Noyce Foundation

Fractured Numbers

For Students K - 12th Standards
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
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Worksheet
Curated OER

Radicals and the Irrational Numbers

For Students 9th - 10th
In this Integrated Algebra worksheet, students differentiate between rational and irrational numbers and locate irrational numbers on a number line.  The one page worksheet contains six problems.  Answers are provided. 
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Lesson Plan
Curated OER

Rational and Irrational Numbers 1

For Teachers 8th - 10th Standards
You'll need scissors, glue sticks, and mini whiteboards for this activity on rational and irrational numbers. Learners work in groups to classify a variety of expressions as rational or irrational. They are also given a mock discussion...
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Worksheet
Curated OER

Algebra Worksheet: Number systems

For Students 10th - Higher Ed
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...

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