ALEX Resources

   View Standards     Standard(s): [MA2019] (6) 25 :

25. Graph polygons in the coordinate plane given coordinates of the vertices to solve real-world and mathematical problems.

a. Determine missing vertices of a rectangle with the same x-coordinate or the same y-coordinate when graphed in the coordinate plane.

b. Use coordinates to find the length of a side between points having the same x-coordinate or the same y-coordinate.

c. Calculate perimeter and area of a polygon graphed in the coordinate plane (limiting to polygons in which consecutive vertices have the same x-coordinate or the same y-coordinate).

In Module 3, students used coordinates and absolute value to find distances between points on a coordinate plane (6.NS.C.8). In Module 6, Topic B, students extend this learning to Lessons 7 and 8 where they find edge lengths of polygons (the distance between two vertices using absolute value) and draw polygons given coordinates (6.G.A.3). From these drawings, students determine the area of polygons on the coordinate plane by composing and decomposing into polygons with known area formulas. In Lesson 9, students further investigate and calculate the area of polygons on the coordinate plane and also calculate the perimeter. They note that finding perimeter is simply finding the sum of the polygon’s edge lengths (or finding the sum of the distances between vertices). Topic B concludes with students determining distance, perimeter, and area on the coordinate plane in real-world contexts.