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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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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

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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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
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
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
Curated OER

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...
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Lesson Plan
Mathematics Assessment Project

Using Positive and Negative Numbers in Context

For Teachers 6th - 8th Standards
Measure the temperature of your math class with a temperature-based instructional activity on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a...
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Lesson Plan
Illustrative Mathematics

Comparing Temperatures

For Teachers 5th - 7th Standards
Which is colder -12 or -18? Temperature is natural real-world application of ordering rational numbers. It's also fun to talk about the lowest recorded temperature on Earth. Take the time to discuss this inquiry with your class. 
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Interactive
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Scholastic

Study Jams! Order Fractions & Decimals

For Students 4th - 7th Standards
Going from fraction to decimal and decimal to fraction shouldn't be a chore, but an easy step for young mathematicians to do within problems. This interactive lesson shows how long division can change any fraction to a decimal. Started...
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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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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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Interactive
CK-12 Foundation

Properties of Rational Numbers: Lollipop Trees

For Students 6th - 8th Standards
A six-question interactive takes mathematicians to Lollipop Land where they manipulate lollipop trees to make equivalent ratios.  Question types include multiple-choice, true or false, and a discussion. 
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Worksheet
Curated OER

Rational Numbers

For Students 7th - 8th
In this rational numbers learning exercise, students solve and complete 15 different problems that include comparing and ordering various rational numbers. First, they fill in each blank with the correct symbol to make the sentence true....
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Lesson Plan
Curated OER

Prime and Composite Numbers

For Teachers 6th - 7th
Prime and composite numbers are the focus of this mathematics lesson. In it, learners practice techniques for identifying these two types of numbers. They utilize the Inspiration program to complete a task that is clearly explained, and...
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Interactive
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Scholastic

Study Jams! Decimal, Fraction, & Percent Equivalents

For Students 4th - 7th Standards
If percents, fractions, and decimals can all mean the same number how do we go from one to another? During this instructional activity, watch how it goes over the basic steps needed to go from one rational number to the next. Both...
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Lesson Plan
Curated OER

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.
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Lesson Plan
Curated OER

Lesson 2 Ordering Numbers

For Teachers 6th - 8th
Math wizards begin the lesson by comparing and ordering rational numbers. Using a number line, they discover the relationship between the numbers and practice ordering them in the correct way. They also review proper techniques for...
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Lesson Plan
Curated OER

Comparing Negative Fractions, Mixed Numbers and Decimal

For Teachers 7th
Seventh graders explore the concept of negative rational numbers. In this negative rational numbers instructional activity, 7th graders discuss similarities between positive and negative rational numbers. Students predict what rational...
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Lesson Plan
Virginia Department of Education

Ordering Fractions, Decimals, and Percents

For Students 7th
Order up a resource on comparing rational numbers. Scholars order fractions, decimals, and percents by converting to a single form. They conduct a cut-and-paste activity ordering three sets of rational numbers.
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Lesson Plan
Curated OER

Whole Numbers

For Teachers 6th - 8th
Student are assigned one of the sections on whole numbers. After reviewing the content, they teach their assigned sections to other class mates. They publish their findings on a PowerPoint slide show to use when they teach their section.
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Unit Plan
Houghton Mifflin Harcourt

Integers, Opposites, Absolute Value

For Teachers 5th - 7th Standards
Straight from the pages of a math textbook, this three-lesson series introduces young mathematicians to the world of integers. Starting with a definition of integers and their applications in the real world, this resource goes on to...
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Lesson Plan
Utah Education Network (UEN)

Representing, Identifying, and Comparing Integers

For Teachers 5th - 7th Standards
This resource will knock your "sox" off! It comes with so many worksheets, projects, and other attachments that help you prepare your mathematicians to see positive and negative integers in the real world, including the White Sox stadium...
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Lesson Plan
Curated OER

Comparing Positive Fractions, Mixed Numbers & Decimals

For Teachers 7th
Seventh graders explore the concept of fractions, mixed numbers, and decimals. In this fractions, mixed numbers, and decimals lesson plan, 7th graders compare different forms of rational numbers on a number line. Students order...