The Number Line in the Common Core

CONTENTS OF CURRICULUM UNIT 16.05.07

  1. Unit Guide
  1. Context
  2. Description of Structure of Unit 
  3. Progression of Concepts
  4. Concept #1: Establishing the Measurement Principle and Placing Positive Whole Numbers on the Number Line
  5. Concept #2: Placing Positive/Negative Integers on the Number Line and Introduction of Numbers as Vectors.
  6. Concept #3: Comparing Integers on the Number Line
  7. Concept #4: Introduction to Unit Fractions and Defining General Fractions as Multiples of the Unit Fraction
  8. Concept #5: Placing Fractions on the Number Line
  9. Concept #6: Placing Decimals on the Number Line Using the Expanded Form
  10. Strategies
  11. Supporting Activities
  12. Appendices
  13. Bibliography
  14. Notes

Rational Number Placement on the Number Line

Jeffrey Rossiter

Published September 2016

Tools for this Unit:

Guide Entry to 16.05.07

The students whom I’ve been teaching have always seen the various ways of writing numbers symbolically – fractions, decimals, and integers - as siloed representations of quantities with no relation between them. My unit uses Number Talks and other discussion based techniques to remedy this problem. The number line is the primary focus and is used to show that the various symbolic schemes are just ways of naming numbers. This unit is remedial in nature and can be taught as intervention as well. But because of its position at the 7th/8th grade level where students are deepening their fluency of number sense topics, this unit will set up students to be successful mathematical problems solvers in the future. This unit is intended to be taught first, with Aaron Bingea’s unit titled: Adding and Subtracting Rational Numbers on the Number Line taught second. While my unit focuses on the foundational skill of placing various classes of numbers on the number line, Aaron’s unit will deal with the operations of addition and subtraction.

(Developed for Mathematics, grade 7-8; recommended for Mathematics, 6-8)

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