The Number Line in the Common Core

CONTENTS OF CURRICULUM UNIT 16.05.05

  1. Unit Guide
  1. Introduction
  2. School Background
  3. Rationale
  4. Objectives
  5. Teaching Strategies and Classroom Activities
  6. Appendix
  7. Resources for Teachers and Students
  8. Endnotes
  9. Bibliography

Decimal Expansion: An Address System for All Numbers

Jung Min Lee

Published September 2016

Tools for this Unit:

Appendix

Common Core 8th Grade Mathematics

Number Sense

Know that there are numbers that are not rational, and approximate them by rational numbers.

1. Know that numbers that are not rational are called irrational. Understand

informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion that repeats eventually into a rational number.

Expressions and Equations

4. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

Standard for future lessons:

Number Sense

1. Use rational approximation of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions. For example, by truncating the decimal expansion of Ö2, show that Ö2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

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