CK-12 Foundation
Rational Numbers in Applications: Batch of Brownies as Rational Numbers
Sharing is caring—especially with brownies! Young mathematicians use an interactive to split a batch of brownies between several friends given constraints. They answer some challenge questions to check that each friend has the correct...
Chapman University
Exact Values Poster
Go to infinity and beyond and see what a repeating decimal actually looks like as it goes on and on and on and on. The poster uses rational numbers, imperfect squares, and the always popular π.
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
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.
Education Development Center
Sum of Rational and Irrational is Irrational
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
Charleston School District
Pre-Test Unit 7: Real Numbers
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
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
Positive & Negative Numbers
Young mathematicians solve and complete 22 different problems that include using a number line to evaluate. First, they define each of the terms listed. Then, pupils graph each integer on the given number line. They also evaluate each...
Curated OER
Fractions and Rationals
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...
Utah Education Network (UEN)
Probability, Percent, Rational Number Equivalence
Start seventh grade with a bang with the first chapter of an eight-part seventh-grade workbook series that asks learners to work through problems involving simple probability, percents, and rational number equivalence.
CK-12 Foundation
Properties of Rational Numbers: Lollipop Trees
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.
Curated OER
myTestBook.com Rational and Irrational Numbers
In this rational and irrational numbers worksheet, students answer multiple choice questions about rational and irrational numbers. Students complete 20 questions.
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
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...
Curated OER
Locating Rational Numbers on the Number Line
Students explore the concept of locating rational numbers on a number line. In this rational numbers lesson, students change improper fractions to mixed numbers to determine where on a number line the rational number belongs. Students...
Curated OER
Rational Numbers
In this rational numbers instructional activity, 9th graders solve and complete 12 different problems by dividing each equation. First, they use the division rules given at the top of the sheet to determine how they are going to solve...
Curated OER
Descending Order of Rational Numbers Worksheets
In this rational numbers worksheet, students order 5 rational numbers in descending order in each of 20 examples. They order the fractions and decimals on-line and print the pages as needed.
Curated OER
Rational Numbers
In this rational numbers learning exercise, 9th graders solve and complete 12 different problems that include multiplying various rational expressions. First, they find the product of two or more numbers, grouping in pairs. Then,...
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
Leveled Problem Solving Rational Numbers and their Properties
In this rational numbers and their properties worksheet, students sharpen their problem solving skills as they solve 6 story problems.
Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
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.