CCSS.Math.Content.6.NS.C.6a

Math6th GradeApply and extend previous understandings of numbers to the system of rational numbers.

The standard

Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.

Common Core State Standards for Mathematics

What this standard means

Students need to understand that positive and negative numbers sit on opposite sides of zero, the same distance away when they are opposites. They should read, write, and locate numbers like 4 and -4 on a number line, then explain why they are opposites.

Mastery looks like placing numbers correctly, naming opposites quickly, and explaining that the opposite of an opposite returns to the starting number. Students often mix up “opposite” with “negative,” so they may think the opposite of -5 is -5 or that zero has two opposites.

Ways to teach it

  • Hands-on activity: Give students integer cards and a floor number line, then have them stand at each number and send a partner to its opposite.
  • Discussion prompt: Ask, “If Mia says the opposite of every number is negative, do you agree?” and require a number line example.
  • Quick assessment: Show 6, -6, 0, and -(-8), then ask students to write each opposite and mark them on a number line.
  • Real-world connection: Use above and below sea level cards, such as 20 feet and -20 feet, to match opposite locations from sea level.

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Related standards

  • CCSS.Math.Content.6.NS.C.5

    Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero,...

  • CCSS.Math.Content.6.NS.C.6

    Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on...

  • CCSS.Math.Content.7.NS.A.1b

    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 ...

  • CCSS.Math.Content.6.NS.C.6b

    Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by ...

Standard text verified against corestandards.org on July 10, 2026.

Page updated July 10, 2026.

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