Examples, solutions, videos, and lessons to help Grade 6 students learn to solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Common Core: 6.NS.8

### Suggested Learning Targets

• I can solve real world problems using graphs on the coordinate plane.
• I can calculate absolute value.
• I can graph points in all four quadrants of the coordinate plane.
• I can solve real-world problems by graphing points in all four quadrants of a coordinate plane.
• I can calculate the distances between two points with the same first coordinate or the same second coordinate using absolute value, given only coordinates.

Graphing points in all four quadrants on the coordinate plane (6.NS.8)
Using the Coordinate Plane (6.NS.8)
Rule: The distance of a point to the y-axis is the absolute value of the point’s x-coordinate, and its distance to the x-axis is the absolute value of its y-coordinate.

Find Distance on the Coordinate Plane 6.NS.8
What is the relationship between coordinates and distance?
Examples:

1. Find the distance between Taylor’s house and the school.
2. Find the distance between point A and point B on the coordinate plane.
3. Draw a line between each pair of points. Then find the distance between the points.
4. Name the coordinates of two points that have the same coordinates and 8 units apart.

Coordinate plane 6.NS.8

Coordinate plane locations

Coordinate Plane - Find the difference between two points Examples
Find the difference between
a) (-5,2) and (-9,2)
b) (1,-3) and (-4,-3)
c) (3,-5) and (3,2)

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