NY Next Generation Math NY-6.NS.8
The Standard
Solve real-world and mathematical problems by graphing points on a coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students graph rational-coordinate points to solve mathematical and real-world problems. They use absolute value to find horizontal or vertical distances between points sharing one coordinate.
What Mastery Looks Like
- The student plots (-3, 2) and (4, 2) and finds their distance as |-3 - 4| = 7. The student identifies whether a segment is horizontal or vertical.
Common Misconceptions
- Students may add signed coordinates without finding a positive distance. They may apply the method when both coordinates differ or reverse coordinate order while plotting.
How to Assess It
- Ask students to plot (-2.5, 1) and (3.5, 1), then find and explain the distance between them.
Lesson moves
Ways to Teach It
Plot points with tape on a floor coordinate plane and measure horizontal or vertical distances.
Ask students why coordinate distance must be nonnegative even when one point has a negative coordinate.
Play Same Coordinate Match by pairing points and finding each horizontal or vertical distance.
Map two landmarks on a coordinate grid that share a street or avenue and calculate their separation.
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