CCSS.Math.Content.6.NS.C.6b

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

The standard

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 signs, the locations of the points are related by reflections across one or both axes.

Common Core State Standards for Mathematics

What this standard means

Students need to connect the signs in an ordered pair to a point’s location on the coordinate plane. They should know which quadrants match positive and negative x- and y-values, and place points accurately.

Mastery means students can look at pairs like (4, -3), (-4, -3), and (-4, 3) and explain how the points are mirror images across the axes. Common mistakes are switching x and y, counting from the wrong axis, and thinking a negative sign always means “down.”

Ways to teach it

  • Have students plot four sign-related points on grid paper, then fold the paper on each axis to check the reflections.
  • Ask students to explain in writing how (2, -5), (-2, -5), and (-2, 5) are related without plotting them.
  • Show one plotted point and have students write the three related ordered pairs formed by changing signs.
  • Use a city map grid and describe how two stores at opposite signs can be the same distance from an avenue or street.

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Related standards

  • CCSS.Math.Content.6.NS.C.8

    Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to fi...

  • 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.6c

    Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational nu...

  • CCSS.Math.Content.5.G.A.1

    Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with ...

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

Page updated July 10, 2026.

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