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.
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
UP:MA19.GDA.18
Vocabulary
- Coordinates
- vertices
- perimeter
- Area
- Distance formula
- Evaluate
- Accuracy
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.
