![]() |
Generated on 9/17/2025 at 11:50 PM |
The webpage this document was printed/exported from can be found at the following URL:
https://www.cpalms.org//PreviewStandard/Preview/5633
https://www.cpalms.org//PreviewStandard/Preview/5633
Use coordinates to compute perimeters of polygons and areas of
triangles and rectangles, e.g., using the distance formula.
★
Standard #: MAFS.912.G-GPE.2.7Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Expressing Geometric Properties with Equations
Cluster: Level 1: Recall
Cluster: Use coordinates to prove simple geometric theorems algebraically. (Geometry - Major Cluster) -
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating:
Level 1: Recall
-
More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Related Courses
- Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) # 1200400
- Informal Geometry (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated)) # 1206300
- Geometry (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) # 1206310
- Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) # 1206320
- Mathematics for College Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated)) # 1200700
- Access Informal Geometry (Specifically in versions: 2014 - 2015 (course terminated)) # 7912060
- Geometry for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) # 1206315
- Access Geometry (Specifically in versions: 2015 - 2022, 2022 and beyond (current)) # 7912065
Related Resources
Formative Assessments
- Perimeter and Area of an Obtuse Triangle # Students are asked to find the perimeter and area of an obtuse triangle given in the coordinate plane.
- Perimeter and Area of a Right Triangle # Students are asked to find the perimeter and the area of a right triangle given in the coordinate plane.
- Perimeter and Area of a Rectangle # Students are asked to find the perimeter and the area of a rectangle given in the coordinate plane.
- Pentagon’s Perimeter # Students are asked to find the perimeter of a pentagon given in the coordinate plane.
Lesson Plans
- My Geometry Classroom # Students will learn how to find the area and perimeter of multiple polygons in the coordinate plane using the composition and decomposition methods, applying the Distance Formula and Pythagorean Theorem. Students will complete a Geometry Classroom Floor Plan group activity. Students will do a short presentation to discuss their results which leads to the realization that polygons with the same perimeter can have different areas. Students will also complete an independent practice and submit an exit ticket at the end of the lesson.
- Just Plane Ol' Area! # Students will construct various figures on coordinate planes and calculate the perimeter and area. Use of the Pythagorean theorem will be required.
- Going the Distance # This lesson uses the Pythagorean Theorem to derive several iterations of the Distance Formula. The Distance Formula is then used to calculate the distance between two points on both directional maps and the Cartesian coordinate plane. Vocabulary relating to vectors is also introduced.
Perspectives Video: Professional/Enthusiast
- Cataloging Cats with Cartesian Coordinates # <p>This researcher knows where your cat lives! Watch how he uses coordinates and the distance formula to plot the location of hundreds of thousands of cats on a map.</p>
MFAS Formative Assessments
- Pentagon’s Perimeter # Students are asked to find the perimeter of a pentagon given in the coordinate plane.
- Perimeter and Area of a Rectangle # Students are asked to find the perimeter and the area of a rectangle given in the coordinate plane.
- Perimeter and Area of a Right Triangle # Students are asked to find the perimeter and the area of a right triangle given in the coordinate plane.
- Perimeter and Area of an Obtuse Triangle # Students are asked to find the perimeter and area of an obtuse triangle given in the coordinate plane.