NY Next Generation Math NY-6.NS.7.c

Math6th GradeUnderstand ordering and absolute value of rational numbers.

The Standard

Understand the absolute value of a rational number as its distance from 0 on the number line. Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students understand absolute value as a rational number’s distance from zero. They interpret that distance as the magnitude of a positive or negative quantity in context.

What Mastery Looks Like

The student writes |-4.5| = 4.5 and explains the distance on a number line. In context, the student distinguishes a signed quantity from its magnitude.

Common Misconceptions

Students may think absolute value always changes a sign without representing distance. They may say |-6| equals -6 because the original quantity is negative.

How to Assess It

Ask students to interpret an account balance of -$30, write its absolute value, and explain what 30 represents.

Lesson moves

Ways to Teach It

  1. Use string to measure equal distances from zero to positive and negative rational-number points.

  2. Ask students how -5 and 5 can have the same absolute value but different meanings.

  3. Play Magnitude Match by pairing signed values with absolute values and contexts.

  4. Compare depths below sea level by separating signed elevations from their magnitudes.

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Printable NY-6.NS.7.c Worksheet

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