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Lesson Plan
Illustrative Mathematics

Converting Decimal Representations of Rational Numbers to Fraction Representations

For Teachers 7th - 9th Standards
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
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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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Unit Plan
New York City Department of Education

Rational Numbers

For Teachers 7th Standards
Order up a unit on rational numbers. A unit overview gives a basic outline of instruction and activities on rational numbers for the 7.NS domain. A performance task on profits at pizzerias assesses understanding of the concepts in the...
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Lesson Plan
Curated OER

Applications Using Rational Equations

For Teachers 7th - 10th
Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...
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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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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
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
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Utah Education Network (UEN)

Probability, Percent, Rational Number Equivalence

For Students 7th Standards
Start seventh grade with a bang with the first chapter of an eight-part seventh-grade workbook series that asks learners to work through problems involving simple probability, percents, and rational number equivalence.
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Lesson Plan
Curated OER

Ordering Rational Numbers and Finding Their Approximate

For Teachers 6th - 8th
Middle schoolers explore the concept of ordering rational numbers on a number line. They represent rational numbers as decimals and percents. Pupils create a foldable about converting fractions to decimals to percents, and use a...
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Lesson Plan
Curated OER

Addition And Subtraction of Rational Expressions

For Teachers 6th - 8th
Young algebraic thinkers find the solutions to 20 rational expressions using addition and subtraction. They pay close attention to following the Order of Operations!
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Lesson Plan
Curated OER

Building Boxes- Polynimial And Rational Functions

For Teachers 7th - 9th
Students investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how the...
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Lesson Plan
Curated OER

Multiplication And Division of Rational Expressions

For Teachers 6th - 8th
There is nothing wrong with good old-fashioned practice. Middle schoolers simplify rational expressions using the operations of multiplication or division. The worksheet included 24 problems and an example to help learners along. 
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Worksheet
Curated OER

Study Guide: Rational Numbers

For Students 6th - 8th
In this rational numbers worksheet, students solve and complete 8 different problems that include applying the comparison property and density property for rational numbers. First, they replace each blank with the correct symbol to make...
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Worksheet
Curated OER

Ascending Order of Rational Numbers Virtual Worksheet

For Students 6th - 7th
In this ordering numbers learning exercise, students order 20 sets of rational numbers in ascending order. They order the fractions and decimals from least to greatest while working on-line and print the pages as needed.
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Lesson Plan
Curated OER

Rational Equations and Proportions

For Teachers 7th - 8th
In this rational equations worksheet, students solve and complete 11 various types of problems. First, they find a number that is the reciprocal of one described in each statement. Then, students solve for the variable in each expression.
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Worksheet
Curated OER

myTestBook.com Rational and Irrational Numbers

For Students 7th - 9th
In this rational and irrational numbers activity, students answer multiple choice questions about rational and irrational numbers. Students complete 20 questions.
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th - 8th
Students identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills students...
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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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Workbook
1
1
Utah Education Network (UEN)

Operations with Rational Numbers

For Students 7th Standards
Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...
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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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Worksheet
Curated OER

Rational Numbers

For Students 6th - 7th
In 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...
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Lesson Plan
Curated OER

The Number Line

For Teachers 6th - 8th
Represent, order, and compare rational numbers in order to practice placing them on a number line. Your class will use appropriate operations, methods, and tools to compute with real numbers. Then they must explain completely and clearly...
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Lesson Plan
Curated OER

Alternative Algorithms

For Teachers 6th - 8th
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...
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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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