NY Next Generation Math NY-6.G.3
The Standard
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 coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students draw polygons from vertex coordinates in the coordinate plane. They find horizontal or vertical side lengths from points sharing a first or second coordinate and solve contextual problems.
What Mastery Looks Like
- A student plots (-2, 1), (-2, 6), and (4, 6) and connects the vertices correctly. The student finds the vertical side length as 5 units and the horizontal side length as 6 units.
Common Misconceptions
- Students may reverse x- and y-coordinates or connect vertices out of order. They may subtract coordinates from different positions or report a negative side length.
How to Assess It
- Give four coordinates forming a rectangle with horizontal and vertical sides in the coordinate plane. Ask students to draw it, label every side length, and find its perimeter.
Lesson moves
Ways to Teach It
Plot coordinate cards on a large grid, connect vertices in order, and measure horizontal and vertical sides by coordinate differences.
Ask students why points on a vertical side must share the same first coordinate.
Play coordinate-polygon exchange by creating vertex lists for partners to graph and label.
Map a rectangular garden or room on a coordinate grid and calculate required boundary lengths.
Keep exploring
Related Standards
- NY-6.NS.8
Solve real-world and mathematical problems by graphing points on a coordinate plane. Include use of coordinates and absolute value to find distances between poi...
- NY-4.G.1
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
- NY-5.G.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...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson