Worksheet
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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...
Lesson Plan
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Solving Fractional Equations

For Teachers 9th - 11th
In this fractional equation worksheet, students solve fractional equations containing addition and subtraction. This one-page worksheet contains eight problems, with answers.
Worksheet
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Vertical Asymptotes: M=N and M=N+1

For Students 9th - 12th
In this algebra worksheet, students determine the vertical asymptotes for a given rational equation with the leading exponents following either of the cases: M = N or M = N + 1. There are 4 questions.
Worksheet
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Math B Regents Questions by Performance Indicator: Rational Numbers

For Students 9th - 11th
In this rational number learning exercise, students add and subtract quantities containing radical expressions.  They identify equivalent expressions.  This three-page learning exercise contains 15 multiple-choice...
Worksheet
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Regents Exam Questions: Rationalizing Denominators 1

For Students 9th - 12th
In this rationalizing worksheet, students simplify expressions containing rational numbers.  They identify equivalent expressions containing fractions and square roots.  This four-page worksheet contains 16 multiple-choice...
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The Real Number System: Rational or Irrational

For Students 9th - 12th
In this real numbers worksheet, high schoolers determine if 14 expressions when simplified are rational or irrational.  Students take the square and cube roots of numbers to determine if the result is rational or irrational.
Worksheet
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Rational Functions

For Students 9th - 11th
For this rational functions worksheet, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page worksheet contains 35...
Lesson Plan
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Estimating with Rational Numbers

For Teachers 6th - 8th Standards
Students explore the concept of rounding. In this rounding lesson plan, students round fractions and mixed numbers. Students estimate the sums, differences, products, and quotients of rounded fractions and mixed numbers.
Worksheet
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Solving Rational Equations

For Students 9th - 11th
In this rational equations worksheet, students identify the least common multiple and solve rational equations. This two-page worksheet contains 18 problems.
Worksheet
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The Rational Number System

For Students 7th - 8th
In this rational number system worksheet, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page worksheet contains approximately 10 problems. Answers are...
Worksheet
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Rational Numbers

For Students 6th - 7th
For this rational numbers worksheet, students solve and complete 25 different problems that include identifying numerous types of rational numbers. First, they place a greater than, less than or equal to symbol between the fractions to...
Worksheet
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Rational Numbers

For Students 9th
In this rational numbers worksheet, 9th graders solve and complete 16 different problems that include adding and subtracting various rational numbers. First, they determine the sum or difference for each equation. Then, students evaluate...
Worksheet
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Addition and Subtraction of Rational Expressions

For Students 9th - 11th
In this rational expression worksheet, students add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This two-page...
Worksheet
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Rationals

For Students 9th
In this rational numbers worksheet, 9th graders solve 14 various types of problems relating to rational numbers that include simplifying each equation and reducing to lowest terms to using the order of operations to simplify equations....
Lesson Plan
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Approaching Limits

For Teachers 8th - 12th Standards
With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...
Lesson Plan
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The Real Number System

For Teachers 7th - 8th
Learners analyze the real number system. They discuss real numbers, rational and irrational numbers, integers, whole numbers, natural numbers and more of the real number in the system. They differentiate between all these numbers.
Worksheet
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Rational and Irrational Numbers

For Students 8th - 9th
Here is a rational and irrational numbers learning exercise in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.
Lesson Plan
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Squares, Square Roots, and Exponential Expressions

For Teachers 7th - 8th
Students explore the concepts of square roots and exponential expressions. In this square root and exponential expression instructional activity, students complete an investigation called Building A Square Patio. Students use color tiles...
Lesson Plan
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Real Numbers in the Real World

For Teachers 6th - 8th
Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers lesson, pupils perform order of operations on the set of real numbers using a calculator.
Worksheet
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Easy Worksheet: Ordering Fractions

For Students 6th - 8th
In this ordering fractions learning exercise, middle schoolers solve 4 short answer problems. Students order positive and negative rational number from least to greatest. Middle schoolers find common denominators to determine if a...
Worksheet
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Algebra II Worksheet

For Students 8th - 10th
In this Algebra II activity, students match the number to the number set it belongs to. Students are given a list of options such as natural, real, complex, and a number that corresponds to on set of options. There are 6 questions.
PPT
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Real Numbers (as Opposed to Fake Numbers?)

For Teachers 5th - 7th
Students read about real numbers and subsets of the real number set. They define and see examples of rational numbers, irrational numbers, and integers.
Lesson Plan
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Initial Fraction Ideas Lesson 12: Overview

For Teachers 3rd - 6th
Students name and draw fractions by using their fractions circles. For this rational numbers and fraction lesson plan, students name mixed numbers and improper fractions using their fraction circles.
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My Test Book: Rational and Irrational Numbers

For Students 6th - 8th
For this online interactive math skills worksheet, students solve 10 multiple choice math problems regarding rational and irrational numbers. Students may submit their answers to be scored.