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
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, 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 instructional activity 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.
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 Numbers in Lowest Terms
In this rational numbers worksheet, pupils 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...
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 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...
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...
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...
Curated OER
Alternative Algorithms
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...
Curated OER
Radical Expressions and Rational Numbers as Exponents
In this radical expressions worksheet, students find the function value of given functions. They identify the domain of functions. Students write functions without fractional exponents. This three-page worksheet contains 55 problems.
Curated OER
Estimating with Rational Numbers
Students explore the concept of rounding. In this rounding lesson, students round fractions and mixed numbers. Students estimate the sums, differences, products, and quotients of rounded fractions and mixed numbers.
EngageNY
Rational and Irrational Numbers
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson plan in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and...
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
Regents Exam: Solving Rationals 1
In this rational number worksheet, students add and subtract fractions containing variables. They find common denominators and solve for the unknown. This four-page worksheet contains eighteen problems. Answers are listed on the last...
Curated OER
Rational Exponents
Investigate rational exponents in this math instructional activity. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
Curated OER
Topsy-Turvy Math With Rational Numbers
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
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