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 activity includes problems that require comparing three numbers.
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
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
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
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.
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...
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.
Curated OER
The Number Line
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...
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
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...
Illustrative Mathematics
Comparing Temperatures
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.
Illustrative Mathematics
Irrational Numbers on the Number Line
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...
Curated OER
Prime and Composite Numbers
Prime and composite numbers are the focus of this mathematics 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 explained,...
Virginia Department of Education
Rational Speed Matching
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.
Curated OER
Real Numbers in the Real World
Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers instructional activity, pupils perform order of operations on the set of real numbers using a calculator.
Curated OER
Lesson 2 Ordering Numbers
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...
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
Virginia Department of Education
Complex Numbers
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...
Curated OER
Number Line
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.
Curated OER
Fraction and Decimal Ordering
Ordering numbers just got physical! Learners practice putting numbers in sequence, both in fraction and decimal form. To begin, they line up in birthday order and discuss the difference between ascending and descending. They are then...
Alabama Learning Exchange
As If Numbers Weren't Complex Enough Already!
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
Curated OER
Comparing Negative Fractions, Mixed Numbers and Decimal
Seventh graders explore the concept of negative rational numbers. In this negative rational numbers lesson, 7th graders discuss similarities between positive and negative rational numbers. Students predict what rational numbers lie...
Virginia Department of Education
Ordering Fractions, Decimals, and Percents
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.
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.