Illustrative Mathematics
Illustrative Mathematics: N Rn and 8 Ns: Calculating the Square Root of 2
Jessica evaluates $\sqrt{2}$ on her calculator which shows a value of $$ 1.4142136. $$ She then writes $$ \sqrt{2} = 1.4142136. $$ Aligns with 8.NS.A.
Illustrative Mathematics
Illustrative Mathematics: N Rn: Operations With Rational and Irrational Numbers
Experiment with sums and products of rational and irrational numbers. Aligns with N-RN.B.3.
Illustrative Mathematics
Illustrative Mathematics: N Rn: Rational or Irrational?
In each of the following problems, a number is given. If possible, determine whether the given number is rational or irrational. In some cases, it may be impossible to determine whether the given number is rational or irrational. Justify...
University of St. Andrews (UK)
University of St. Andrews: Abu Ali Al Husain Ibn Abdallah Ibn Sina (Avicenna)
Good article on Ibn Sina (Avicenna), who is known for his scholarly studies and contributions to several academic fields and his written works, which include an autobiography. This article focuses on his influences in the areas of math...
Illustrative Mathematics
Illustrative Mathematics: 8.ns Irrational Numbers on the Number Line
This task presents students with four irrational numbers and asks them to place them on a real number line without referring to a calculator. Aligns with 8.NS.A.2.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Comparing Rational and Irrational Numbers
For this task, 8th graders are presented with pairs of rational or irrational numbers. They must state which number in the pair is higher and explain their thinking. Aligns with 8.NS.A.2.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Identifying Rational Numbers
For this task, 8th graders are presented with a mixed set of eight different numbers and must identify them as rational or irrational and explain how they know. Aligns with 8.NS.A.1.
Math Open Reference
Math Open Reference: Number
Resource defines numbers into two main categories, counting numbers and scalars. It also gives examples of number notation.
Purple Math
Purplemath: How Can 0.9999 = 1?
This resource discusses the relationship between '0.999' and '1' and provides various proofs of their equality.
Other
The Real Number System
The subsets of the real number system are organized in an easy-to-read table. Use the questions at the bottom of the page as an assignment to check for understanding.
CK-12 Foundation
Ck 12: Arithmetic: Order of Real Numbers Grade 8
[Free Registration/Login may be required to access all resource tools.] Learn how to classify, order, and graph real numbers.
TED Talks
Ted: Ted Ed: Making Sense of Irrational Numbers
Like many heroes of Greek myths, the philosopher Hippasus was rumored to have been mortally punished by the gods. But what was his crime? Did he murder guests or disrupt a sacred ritual? No, Hippasus's transgression was mathematically...
Rice University
Rice University: Cynthia Lanius: Hidden Irrationals (Geoboard Lesson)
This site provides a lesson on finding possible irrational numbers using a geoboard.
Integrated Publishing
Integrated Publishing: Rational and Irrational Numbers
Content, suitable for an introductory algebra course, explains the difference between rational and irrational numbers, how to rationalize the denominator, how to evaluate radicals and the square root process. Practice problems included.
CPALMS
Cpalms: Product of Non Zero Rational and Irrational Numbers
[Free Registration/Login Required] In this formative assessment task, students are asked to explain how rational and irrational numbers differ and why the product of a non-zero rational number and an irrational number is irrational....
Common Core Sheets
Common Core Sheets: The Number System 8.ns.2 Worksheets
Print or create worksheets to assess students' understanding of radicals, square roots, and irrational numbers.
Alabama Learning Exchange
Alex: Those Number Aren't Just Moody.
Rational numbers can sometimes cause problems when they're converted to repeating decimals. That, we can handle. But, what about those irrational numbers that can only be "sort of, like approximated"? How can we expect middle schoolers...
Alabama Learning Exchange
Alex: Calm and Erratic!
During this lesson, students will learn why numbers are rational or irrational. Rational numbers are numbers that can be written in the form a/b. Irrational numbers cannot be expressed in the form a/b, where a and b are integers.
CK-12 Foundation
Ck 12: Algebra: Basics of Real Numbers Study Guide
This comprehensive study guide highlights the main terms and formulas needed to understand the basics of real numbers. Examples are included.
CK-12 Foundation
Ck 12: Algebra: Irrational Numbers and Radicals Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review irrational numbers and radicals. Examples are included.
Cuemath
Cuemath: Irrational Numbers
Learn how to identify irrational numbers. This lesson reviews the irrational number list, the difference between irrational and rational numbers, and whether or not irrational numbers are real numbers. Examples are provided along with a...
Cuemath
Cuemath: Rational Numbers
This lesson defines rational numbers and teaches you how to identify them. A handy chart is provided that shows the difference between irrational and rational numbers.
Quia
Ixl Learning: Irrational Numbers
Brush up on your math skills relating to irrational numbers then try some practice problems to test your understanding.
Louisiana Department of Education
Louisiana Doe: Louisiana Believes: Eureka Math Parent Guide: Irrational Numbers Using Geometry
A guide to support parents as they work with their students in irrational numbers using geometry.