Virginia SOL 6.MG.3.f
The Standard
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to determine the length of a side joining points with the same first coordinate or the same second coordinate. Ordered pairs will be limited to coordinates expressed as integers. Apply these techniques in the context of solving contextual and mathematical problems.
Virginia Standards of Learning for Mathematics · The student will describe the characteristics of the coordinate plane and graph ordered pairs.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students plot integer ordered pairs as vertices and connect them in the stated order to draw a polygon. They find horizontal and vertical side lengths from coordinate differences, then use those lengths to solve problems.
What Mastery Looks Like
- Students accurately plot vertices and connect them in the given order to form a polygon. They find horizontal and vertical side lengths by comparing the matching coordinates and can use those lengths in a word problem.
Common Misconceptions
- Students may reverse the x- and y-coordinates when plotting points. They may count grid lines instead of unit spaces or subtract coordinates without using the positive difference. Some apply the horizontal or vertical method to diagonal sides.
How to Assess It
- Give an exit ticket: Plot A(-3, 2), B(4, 2), C(4, -2), and D(-3, -2), connect them in order, and label each side length.
Lesson moves
Ways to Teach It
Build a floor coordinate plane with masking tape; students stand at assigned vertices, connect yarn, and measure horizontal and vertical side lengths.
Ask students to explain why the distance between (-4, 3) and (2, 3) is 6, not -6 or 7.
Run a polygon relay where teams draw coordinate cards, plot each vertex, connect the polygon, and label every horizontal or vertical side.
Have students design a rectangular dog park on a coordinate map, then calculate each side length and the total fencing needed.
Free download
Printable 6.MG.3.f Worksheet
A ready-to-print activity worksheet aligned to 6.MG.3.f, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 6.MG.3.e
Relate the coordinates of a point to the distance from each axis and relate the coordinates of a single point to another point on the same horizontal or vertica...
- 6.MG.3.c
Graph ordered pairs in the four quadrants and on the axes of a coordinate plane. Ordered pairs will be limited to coordinates expressed as integers.
- 6.MG.3.d
Identify ordered pairs represented by points in the four quadrants and on the axes of the coordinate plane. Ordered pairs will be limited to coordinates express...
- 7.MG.4
The student will apply dilations of polygons in the coordinate plane.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.