Virginia SOL 6.MG.3.b

Math6th GradeMeasurement and Geometry

The Standard

Identify and describe the location (quadrant or the axis) of a point given as an ordered pair. Ordered pairs will be limited to coordinates expressed as integers.

Virginia Standards of Learning for Mathematics · The student will describe the characteristics of the coordinate plane and graph ordered pairs. 

Teacher's field guide

What This Standard Means

What Students Need to Do

Students examine the x- and y-values in an ordered pair and use their signs to locate the point. They distinguish among the four quadrants, both axes, and the origin.

What Mastery Looks Like

Students use the signs of x and y to name the correct quadrant without drawing a full graph. They recognize that a zero coordinate places a point on an axis, not in a quadrant.

Common Misconceptions

Students often reverse the x- and y-values or move vertically before moving horizontally. They may also assign an axis point to a quadrant or confuse the quadrant numbering order.

How to Assess It

Give the points (4, -2), (-3, 5), (0, -6), and (-7, 0). Ask students to name each location and explain one answer using signs.

Lesson moves

Ways to Teach It

  1. Tape a coordinate plane on the floor, then have students stand at integer points and name their quadrant or axis.

  2. Ask students to explain how the signs in (-4, 6) reveal its location without graphing the point.

  3. Play quadrant sort with ordered-pair cards, requiring teams to place each card under a quadrant, axis, or origin label.

  4. Use a city map grid and label landmarks with integer coordinates, then describe each landmark’s quadrant or axis location.

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