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

Math6th GradeUnderstand a rational number as a point on the number line. Use number lines and coordinate axes to represent points on a number line and in the coordinate plane with negative number coordinates.

The Standard

Find and position integers and other rational numbers on a horizontal or vertical number line. Find and position pairs of integers and other rational numbers on a coordinate plane.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students locate integers and other rational numbers on horizontal and vertical number lines. They also plot ordered pairs of rational numbers on the coordinate plane.

What Mastery Looks Like

The student places values such as -1.5 and 3/4 accurately between labeled benchmarks. The student plots (-2.5, 1) with the correct coordinate order and quadrant.

Common Misconceptions

Students may place negative values farther right as their magnitude increases. They may reverse x and y coordinates or ignore a coordinate sign.

How to Assess It

Ask students to plot -3/2 on a horizontal number line, 5/4 on a vertical line, and (-2, 3/2) on a coordinate plane.

Lesson moves

Ways to Teach It

  1. Place rational-number cards on floor number lines, then transfer ordered pairs to a large coordinate grid.

  2. Ask students how each sign in an ordered pair determines movement from the origin.

  3. Play Coordinate Callout by plotting rational pairs and naming their quadrant or axis.

  4. Graph elevation and horizontal distance data for landmarks using rational coordinates.

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Printable NY-6.NS.6.c Worksheet

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