Teacher Resources

In this module, students will examine real numbers. Students will explore why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. They will then apply this learning with relevant exercises. This self-paced module is aligned with the Maryland College- and Career-Ready Standards (MDCCRS) in Mathematics for Algebra 1, which are based on the Common Core State Standards.

This module contains several interactive features. Watch the Learn How to Use this Module tutorial to familiarize yourself with these features.

Please review the Accessibility page for all of your students.

Module Information

  • Grade Band: Algebra 1, Grades 7-12
  • Topic: Properties of Rational Numbers and Irrational Numbers
  • Completion Time: 10 - 20 minutes
  • Vocabulary: Visit the Glossary page for definitions of key vocabulary in this module.
  • Focus Standard:
    • CCSS.MATH.CONTENT.HSN.RN.B.3 - Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

      The entire standard will be covered in this module. The students will explore why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. They will then apply this learning with relevant exercises.

  • Skills
    • Find the sum and the product of two rational numbers.
    • Identify the the sum or product of two rational numbers as a rational number.
    • Find the sum of a rational number and an irrational number.
    • Identify the sum of a rational number and an irrational number as an irrational number.
    • Find the product of a nonzero rational number and an irrational number.
    • Identify the product of a nonzero rational number and an irrational number as an irrational number.

Using This Site

This lesson is built for use on classroom computers and tablets. If you have access to a desktop computer, laptop, tablet or an interactive whiteboard in your classroom, you may complete the lesson in your classroom. Otherwise, you will need to schedule time to use your school's computer lab. For technical specifications, see below.

Some activities on this site may include videos and narration, so you may want to have headphones available for students working at individual stations. For best results in viewing the videos and interactives, you should have a high-speed, stable Internet connection.

This lesson may contain PDFs for students to complete. They can print the PDFs and fill them out by hand, or download the files and fill them out on the computer. Most or all portions can be filled out online. Please check with your Instructional Technology Specialist for instructions on downloading the PDF. (Note that to complete the PDFs on the computer, you will need a viewer, such as Adobe Reader, that supports forms.)

Technology

This site is an Internet-based activity, and it was built to run on the following computer operating systems and browsers:

  • Windows 7 or Newer: IE 8, 9, 10, 11; Current version of Chrome; Current version of Firefox
  • Mac OS 10.7 or Newer: Current version of Safari
  • iPad2/iOS6 or Newer: Current version of Safari
  • Android 4.0 or Newer: Current version of Android browser
  • Chromebook: Current version of Chrome

Users running Internet Explorer 8 will not be able to use the highlighter tool. Instead, teachers should consider partnering students for a brief discussion.

Visit the Accessibility page for detailed information on the site's accessibility features.