Maryland Math 6.NOS.C.9

Math6th GradeNumber and Operation Sense

Standard Cluster

Solve problems in context by graphing points (with the same first coordinate or the same second coordinate) in all four quadrants of the Coordinate Plane. Explain that points with the same x-coordinate or y-coordinate are located on same vertical or horizontal line respectively. Use absolute value to calculate length of vertical and horizontal lines on Coordinate Plane.

Maryland College and Career Ready Standards for Mathematics (2025) · APPLY AND EXTEND PREVIOUS UNDERSTANDING OF NUMBERS TO THE SYSTEM OF RATIONAL NUMBERS.

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Standards in This Cluster

6.NOS.C.9 is a cluster heading. These are the individual standards under it.

Teacher's field guide

What This Cluster Means

What Students Need to Do

Students plot locations in all four quadrants and identify pairs that share an x-coordinate or y-coordinate. They find the distance between each pair by taking the absolute value of the difference between the changing coordinates.

What Mastery Looks Like

A student plots points accurately, including points with negative coordinates. They explain why a shared x-coordinate makes a vertical line and calculate its length even when it crosses an axis.

Common Misconceptions

Students may swap x and y when plotting a point or call a line horizontal because its x-coordinate stays the same. They may subtract absolute values instead of taking the absolute value of the difference.

How to Assess It

Exit ticket: Plot A(-3, 4), B(-3, -2), and C(2, -2). Name the direction and length of AB and BC, and show how you calculated each length.

Lesson moves

Ways to Teach It

  1. Tape a coordinate grid on the floor, then have students stand at (-4, 3), (-4, -2), (3, -2), and (3, 3).

  2. Ask students to explain in writing why the distance from (-4, 3) to (-4, -2) is |3 - (-2)|.

  3. Play coordinate match: give students point cards and have them find a partner with a shared coordinate, then calculate their distance.

  4. Draw a city map with signed block coordinates, and ask students to find the walking distance between two stops on one street.

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Printable 6.NOS.C.9 Worksheet

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