MA19.GDA.18

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.18

Given the coordinates of the vertices of a polygon, compute its perimeter and area using a variety of methods, including the distance formula and dynamic geometry software, and evaluate the accuracy of the results.

Unpacked Content

Knowledge

Students know:
  • The distance formula and its applications.
  • Techniques for coordinate graphing.
  • Techniques for using geometric software for coordinate graphing and to find the perimeter and area.

Skills

Students are able to:
  • Create geometric figures on a coordinate system from a contextual situation.
  • Accurately find the perimeter of polygons and the area of polygons such as triangles and rectangles from the coordinates of the shapes.
  • Explain and justify solutions in the original context of the situation.

Understanding

Students understand that:
  • Contextual situations may be modeled in a Cartesian coordinate system.
  • Coordinate modeling is frequently useful to visualize a situation and to aid in solving contextual problems.

Vocabulary

  • Coordinates
  • vertices
  • perimeter
  • Area
  • Distance formula
  • Evaluate
  • Accuracy
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