Access Point #: MAFS.7.NS.1.AP.1b (Archived Access Point)


This document was generated on CPALMS - www.cpalms.org



Find the distance between two rational numbers on a number line.

Clarifications:

Essential Understandings

Concrete:

  • Given a number line count the distance between two points
  • Identify the value of the number and the distance of that number from zero on a number line.
  • Match the positive and the negative value of the same number on the number line.
  • Given a situation identify coordinate points and count the distance between points (e.g., using the school campus, use specific directions to navigate from one point to another; use a tiled floor to navigate to another point).
Representation:
  • Identify absolute values of numbers.
  • Understand the following concepts, symbols, and vocabulary: absolute value, zero, points.
  • Calculate the absolute value of a difference between two numbers (for example, |-6 – 4| equals 10).

Number: MAFS.7.NS.1.AP.1b Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. (Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.7.NS.1.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
  1. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
  2. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
  3. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
  4. Apply properties of operations as strategies to add and subtract rational numbers.




Related Courses

Name Description
1205020: M/J Accelerated Mathematics Grade 6
1205040: M/J Grade 7 Mathematics
1204000: M/J Foundational Skills in Mathematics 6-8
1205510: Explorations in Mathematics 2
1200410: Mathematics for College Success
1200700: Mathematics for College Algebra
7812020: Access M/J Grade 7 Mathematics
7912115: Fundamental Explorations in Mathematics 2


Related Resources

Tutorial

Name Description
Finding the absolute value as distance between numbers:

In this video, we will find the absolute value as distance between rational numbers.



Student Resources

Tutorial

Name Description
Finding the absolute value as distance between numbers:

In this video, we will find the absolute value as distance between rational numbers.