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5th Grade - Polygon Area

Find the area of a convex polygon by decomposing it into triangles/rectangles. 0506.4.2


Links verified on 06/07/2026


  1. Area by Decomposing Polygons - Learn to to use decomposition (and other) strategies when we work with polygons with more than four sides with examples.
  2. Area of a Convex Polygon — Formula & Examples
  3. Area of a Polygon by Decomposing Area (Triangle/Rectangle II) - This video explains how to determine area by decomposing the area into a rectangle and triangle.
  4. Area of Polygons (Using Decomposition) - You can use the area of a rectangle to find the area of other polygons. Decompose (break apart) polygons into other shapes to find the area. (PDF 5 pages)
  5. Convex Polygon - definition and an interactive polygon to experiment with This site is interactive and allows students to play a game or input or collect data
  6. Decomposing shapes to find area: add (video) - learn to decompose complex shapes, calculate the area of each rectangle, and combine those areas to find the total area, making the topic engaging and enjoyable.
  7. Identify Polygons - names of polygons by number of sides and angles - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  8. Separating Shapes - [8 page worksheet] shape decomposition exercises and possible solutions. [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  9. Shape Search - [8 page worksheet] problem sets and solutions for composing and decomposing simple geometric shapes [This expired link is available through the Wayback Machine Internet Archive. If the page doesn't load quickly click on Impatient? at the bottom right of the page.] An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  10. Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding



A resource for the teacher to use in planning their lessons site for teachers | A PowerPoint show related to this standard PowerPoint show | An Adobe Acrobat document in .pdf format Acrobat document | A Microsoft Word document to be downloaded Word document | This interactive site would work well on an interactive whiteboard whiteboard resource | This resource includes voice instructions for students sound | A video is available through this link video format | This site is interactive and allows students to play a game or input or collect data interactive lesson | This site includes questions for your students to check their understanding a quiz | A lesson plan can be found at this site lesson plan | This link includes something for the teacher to print to print

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