Georgia 6.PAR.8
Georgia Standard (Expectation Cluster)
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.
Georgia's K-12 Mathematics Standards
Cluster contents
Expectations in This Standard
6.PAR.8 is a Georgia mathematics standard. These are the expectations under it.
- 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...
- 6.PAR.8.2
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 b...
- 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.PAR.8.4
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same x-coordinate...
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students plot positive and negative fractions, decimals, and integers as ordered pairs. They connect plotted vertices to form polygons and calculate horizontal or vertical side lengths from the coordinates.
What Mastery Looks Like
- Students choose a suitable scale and plot rational ordered pairs accurately in all four quadrants. They connect vertices in order and find horizontal or vertical side lengths using the positive difference between coordinates.
Common Misconceptions
- Students may reverse the x and y values or move in the wrong direction for negative coordinates. They may ignore fractions and decimals when choosing the scale. Some subtract coordinates in order and report a negative side length instead of using the positive distance.
How to Assess It
- Give students A(-2.5, 1), B(1.5, 1), C(1.5, -2), and D(-2.5, -2). Ask them to graph and connect the points, then find lengths AB and BC.
Lesson moves
Ways to Teach It
Make a floor coordinate grid with tape, then have students stand at fraction and decimal coordinates drawn from cards.
Ask students to explain why the distance from x = -2.5 to x = 1.5 is 4 units, not -4 units.
Play Coordinate Polygon Relay, where teams plot one vertex at a time, identify the shape, and calculate one side length.
Give students a park map with coordinate locations and ask them to draw a rectangular garden and calculate the fencing needed.
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Printable 6.PAR.8 Worksheet
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