New York City Department of Education
Rational Numbers
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...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
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...
Curated OER
Ordering Rational Numbers and Finding Their Approximate
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...
Curated OER
Study Guide: Rational Numbers
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...
Curated OER
Ascending Order of Rational Numbers Virtual Worksheet
In this ordering numbers worksheet, 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.
Curated OER
Finding Equivalent Forms For Positive Rational Numbers
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.
EngageNY
Ordering Integers and Other Rational Numbers II
Individuals build on prior knowledge to order a set of rational numbers from least to greatest or greatest to least. As part of the lesson plan, they order rational numbers written in different forms.
EngageNY
Rational Numbers on the Number Line
Individuals learn how to plot rational numbers on the number line in the sixth lesson of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
EngageNY
Ordering Integers and Other Rational Numbers
Scholars learn to order rational numbers in the seventh lesson in a series of 21. Reasoning about numbers on a number line allows for this ordering.
EngageNY
Comparing Integers and Other Rational Numbers
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.
EngageNY
Writing and Interpreting Inequality Statements Involving Rational Numbers
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.
Illustrative Mathematics
Identifying Rational Numbers
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 learning exercise that is a handy tool...
Willow Tree
Rational vs. Irrational Numbers
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...
Curated OER
Rational Number Project
Infuse your unit on fractions, decimals, and operations with a thorough module about rational numbers. With a teaching guide, learner examples, templates for instruction, and lesson rationale, the module is a solid way to emphasize the...
Utah Education Network (UEN)
Operations with Rational Numbers
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...
Curated OER
Rational Numbers in Lowest Terms
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.
Curated OER
Is Bigger Always Better?
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...
Curated OER
Rational Numbers
In this rational numbers instructional activity, 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,...
Curated OER
Rational Numbers
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...
Illustrative Mathematics
Calculating and Rounding Numbers
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...
Mathematics Assessment Project
Using Positive and Negative Numbers in Context
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...
University of Utah
Rational and Irrational Numbers
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...
Math Mammoth
Add and Subtract Rational Expressions With Unlike Denominators
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.
Illustrative Mathematics
Comparing Rational and Irrational Number
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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