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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 Numbers in Lowest Terms

For Teachers 12th - Higher Ed
In this rational numbers worksheet, learners write equivalent forms of rational numbers, divide rational numbers, and express them in their lowest terms. This two-page worksheet contains five problems.
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Worksheet
Curated OER

Algebra I: nth Root and Rational Exponents

For Students 8th - 11th
This algebra worksheet contains problems on converting between nth roots and rational exponents for numbers. It also includes problems on simplifying radicals having various indices and rational exponents. It does not include an answer...
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Lesson Plan
Curated OER

Number Line

For Teachers 4th - 6th
Explore how to make a number line and how to mark the numbers along the number line using fraction and decimal notation. Your scholars will compare and order fractions and decimals and find their appropriate position on the number line.
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Lesson Plan
EngageNY

Ordering Integers and Other Rational Numbers

For Students 6th Standards
Scholars learn to order rational numbers in the seventh instructional activity in a series of 21. Reasoning about numbers on a number line allows for this ordering.
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Lesson Plan
Curated OER

Rational Expressions: Simplifying

For Teachers 8th - 10th
This two-day instructional activity will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The instructional activity contains powerpoint presentations,...
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Lesson Plan
Curated OER

Rational Functions

For Teachers 9th - 12th Standards
Through a mini assessment, students identify and list the vertical and horizontal asymptotes for the given rational functions and determine the type of asymptote of a given rational function. They also decide which form of a function...
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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
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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Worksheet
1
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Curated OER

Rational Functions

For Students Higher Ed
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page worksheet contains forty problems.  Answers are provided. 
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Worksheet
Curated OER

Rational Equations

For Students Higher Ed
In this college level mathematics worksheet, students solve rational equations and identify the extraneous solutions.  The two page worksheet contains fifty-eight problems.  Answers are included. 
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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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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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Worksheet
Curated OER

Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions

For Students 10th - 12th
Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.
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Worksheet
Curated OER

Solving Rational Equations 1

For Students 8th - 9th
For this Algebra I worksheet, students solve rational equations that may have extraneous solutions.  The worksheet is two pages and contains twenty problems.  Answer key is provided. 
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Worksheet
Curated OER

Solving Rational Equations

For Students 8th - 11th Standards
In this algebra worksheet, learners solve rational equations including two application problems. This worksheet contains explanations to aid in understanding. 
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Lesson Plan
Curated OER

Lesson 3: Number Sense

For Teachers 6th - 10th
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
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Lesson Plan
Illustrative Mathematics

Discounted Books

For Teachers 6th - 8th Standards
Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...
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Lesson Plan
Illustrative Mathematics

Irrational Numbers on the Number Line

For Teachers 7th - 9th Standards
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
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Lesson Plan
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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
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
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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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Worksheet
Curated OER

Hen and a Half, Variable: Rational Expressions

For Students 9th - 12th
Looking for a fun warm-up problem while studying rational expressions? High schoolers write a rational expression to represent the number of eggs that a hen can lay. This is a multiple choice question complete with a worked out solution. 

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