CCSS.Math.Content.7.NS.A.1a

Math7th GradeApply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

The standard

Describe situations in which opposite quantities combine to make 0.

Common Core State Standards for Mathematics

What this standard means

Students need to recognize when two values are the same distance from zero but on opposite sides. They should connect that idea to real situations, such as money owed and money paid, gaining and losing yards, or temperature rising and falling.

Mastery looks like students explaining why a number and its opposite sum to zero, using words, numbers, and a number line. Students often get stuck when the context uses negative numbers for something other than “bad,” or when they mix up opposite signs with different sizes.

Ways to teach it

  • Use red and black integer chips to model debts and payments, then have students pair chips to make zero pairs.
  • Ask students to write a two-sentence story where +8 and -8 combine to make 0, then swap with a partner.
  • Show five pairs like -6 and 6, 4 and -5, then ask students to circle only the zero pairs.
  • Connect to football by tracking a 12-yard gain followed by a 12-yard loss and asking for the net change.

Plan a lesson for CCSS.Math.Content.7.NS.A.1a

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Related standards

  • CCSS.Math.Content.6.NS.C.6a

    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 i...

  • 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.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.8.F.B

    Use functions to model relationships between quantities.

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

Page updated July 10, 2026.

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