Lesson Plan
EngageNY

#### Writing and Interpreting Inequality Statements Involving Rational Numbers

For Students 6th Standards
Statements often have multiple interpretations — but not these inequality statements. Scholars compare rational numbers and write inequality statements symbolically. The lesson includes problems that require comparing three numbers.
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...
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...
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...
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...
Lesson Plan
Curated OER

#### Finding Equivalent Forms For Positive Rational Numbers

For Teachers 8th - 10th
Learners discuss the relationship between and the equivalent forms of rational numbers. They will convert numbers from decimals to fractions, understanding they are equivalent, but just different forms.
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...
Lesson Plan
EngageNY

#### Comparing Integers and Other Rational Numbers

For Students 6th Standards
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
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...
Lesson Plan
1
1
EngageNY

#### Comparing Rational Expressions

For Students 10th - 12th Standards
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
Worksheet
Curated OER

#### Rational Numbers

For Students 6th - 7th
In this rational numbers worksheet, learners 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...
Lesson Plan
Curated OER

#### Real Numbers

For Teachers 8th - 10th Standards
Young mathematicians examine and discuss the concepts of integers, rational numbers, irrational numbers, and real numbers. They list examples of each term and order numerical examples.
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 lesson on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a temperature change...
Workbook
1
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University of Utah

#### Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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.
Interactive
1
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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...
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...
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...
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.
Worksheet
Curated OER

#### Rational Numbers

For Students 7th - 8th
In this rational numbers worksheet, 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. Then,...
Lesson Plan
Curated OER

#### Prime and Composite Numbers

For Teachers 6th - 7th
Prime and composite numbers are the focus of this mathematics instructional activity. In it, learners practice techniques for identifying these two types of numbers. They utilize the Inspiration program to complete a task that is clearly...
Lesson Plan
Virginia Department of Education

#### Rational Speed Matching

For Teachers 6th
Ready, set, go! Individuals practice converting rational numbers between fractions, decimals, and percents. A speed game has teams match the three forms of rational numbers on a number line.
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.
Interactive
1
1
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...