Georgia 6.PAR.8.2
The Standard
Show and explain that signs of numbers in ordered pairs indicate locations in quadrants of the coordinate plane and determine how two ordered pairs may differ based only on the signs.
Georgia's K-12 Mathematics Standards · Graph rational numbers as points on the coordinate plane to represent and solve contextual, mathematical problems; draw polygons using the coordinates for their vertices and find the length of a side of a polygon.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use the sign of the x-coordinate to decide left or right and the sign of the y-coordinate to decide up or down. They compare points with matching values but different signs and describe how their locations are related.
What Mastery Looks Like
- Students correctly plot points in all four quadrants and name each quadrant. They explain how changing the x-sign, y-sign, or both signs reflects a point across an axis or the origin.
Common Misconceptions
- Students often reverse the x- and y-coordinates or treat both negative values as meaning left. They may also misnumber the quadrants or miss that changing one sign creates a reflection across one axis.
How to Assess It
- Give students the point (4, -3). Ask them to plot it, name its quadrant, and describe the locations of (-4, -3), (4, 3), and (-4, 3).
Lesson moves
Ways to Teach It
Make a floor coordinate grid with tape, then give students ordered-pair cards and have them stand at each location.
Ask students to explain in writing what changes and what stays the same between (5, 2), (-5, 2), and (-5, -2).
Play Coordinate Match, where students pair point cards that differ only by one sign and name the reflection shown.
Use a city map centered at an intersection, then describe locations east, west, north, and south with signed coordinates.
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Printable 6.PAR.8.2 Worksheet
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Related Standards
- 6.PAR.8.3
Solve problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points ...
- 6.NR.3.3
Recognize and explain that opposite signs of integers indicate locations on opposite sides of zero on the number line; recognize and explain that the opposite o...
- 6.PAR.8.1
Locate and position rational numbers on a horizontal or vertical number line; find and position pairs of integers and other rational numbers on a coordinate pla...
- 5.PAR.6.2
Represent problems by plotting ordered pairs and explain coordinate values of points in the first quadrant of the coordinate plane.
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