Lesson 15

Shapes on the Coordinate Plane

Lesson Narrative

In this lesson, students apply their understanding of rational coordinates and distance in the coordinate plane to construct polygons and navigate a maze. Students plot coordinates in all four quadrants and find horizontal and vertical distances.

Learning Goals

Teacher Facing

  • Determine the total length of multiple horizontal and vertical segments in the coordinate plane that are connected end-to-end.
  • Draw a polygon in the coordinate plane given the coordinates for its vertices.
  • Explain (orally) that coordinates can be a useful way of describing geometric figures or modeling real-world locations.

Student Facing

Let’s use the coordinate plane to solve problems and puzzles.

Required Materials

Required Preparation

Provide students access to graph paper and colored pencils for the lesson synthesis or upon request during the lesson.

Learning Targets

Student Facing

  • I can find the lengths of horizontal and vertical segments in the coordinate plane.
  • I can plot polygons on the coordinate plane when I have the coordinates for the vertices.

CCSS Standards

Building On


Building Towards

Glossary Entries

  • quadrant

    The coordinate plane is divided into 4 regions called quadrants. The quadrants are numbered using Roman numerals, starting in the top right corner.

    A coordinate plane, origin O. The area top & right of the origin is Quadrant 1, and counter-clockwise labeled quadrant 2, 3, 4.