CCSS.Math.Content.6.NS.C.8
The standard
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 State Standards for Mathematics · The Number System
What this standard means
Students need to plot ordered pairs in all four quadrants and use the coordinate plane to solve problems. They should know that the first number moves left or right and the second moves up or down. They also need to find vertical or horizontal distances by comparing coordinates and using absolute value.
Mastery looks like accurate plotting, correct quadrant reasoning, and clear distance calculations between points that share an x-value or y-value. Students often mix up x and y, ignore negative signs, or count grid spaces when a subtraction with absolute value would be faster and more reliable.
Ways to teach it
- Hands-on activity: Give students grid paper and coordinate cards, then have them plot points to form a hidden polygon in all four quadrants.
- Discussion prompt: Ask, “How can two points have negative coordinates but still be far apart?” and have students explain with a sketch.
- Quick assessment: Give three point pairs and ask students to identify which share an x or y coordinate, then find each distance.
- Real-world connection: Use a simple town map with streets as axes, then ask students to find distances between locations on the same street.
Plan a lesson for CCSS.Math.Content.6.NS.C.8
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Related standards
- CCSS.Math.Content.5.G.A
Graph points on the coordinate plane to solve real-world and mathematical problems.
- CCSS.Math.Content.6.G.A.3
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 first coordi...
- CCSS.Math.Content.5.G.A.2
Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in th...
- CCSS.Math.Content.6.NS.C.6b
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by ...