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Area of a Parallelogram

Featured_Image_display_large.jpg Area of a Parallelogram
PuzzleSet_A.stl Area of a Parallelogram
PuzzleSet_C_Alternate.stl Area of a Parallelogram
PuzzleSet_C.stl Area of a Parallelogram
PuzzleSet_B.stl Area of a Parallelogram
Base_Container.stl Area of a Parallelogram
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Creation quality: 5.0/5 (1 vote)
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  • 2.2k views
  • 2 likes
  • 35 downloads
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3D design format
STL and ZIP Folder details Close
  • Base_Container.stl
  • PuzzleSet_A.stl
  • PuzzleSet_B.stl
  • PuzzleSet_C.stl
  • PuzzleSet_C_Alternate.stl
  • SourceFile.zip

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Publication date 2018-11-29 at 14:26
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Published to Thingiverse on: 2013-11-19 at 05:04
Design number 39219
Yazhgar

Yazhgar

3D printer file info

3D model description

Prove to yourself that the area of a parallelogram is the base times the height.

Here's an overview video:

http://www.youtube.com/watch?v=wC8gYuBQaK4

Three puzzle sets are provided. Each set can be arranged to form the same rectangle and rearranged to form different parallelograms with the same area.

Teachers: Have students follow the Exploration Guide (pdf file). It asks some good questions to get them thinking mathematically.

Here are the Common Core standards associated with this manipulative: 3.MD.5, 3MD.8 and 4.MD.3

I've included the source files (SketchUp) in a zip archive.

3D printing settings

Print out the base container and the three puzzle sets and follow the exploration guide.

Here are the colors I used in the video:

BLACK: Base container (with white text, see below)

ORANGE: Puzzle Set A

YELLOW: Puzzle Set B

GREEN: Puzzle Set C

I don't have dual extrusion on my printer, so to get the white-on-black for the container, I started with black then paused the printing at 4mm and switched to white filament. Looking forward to learning how to make dual extrusion files soon.

Note: If puzzle set C doesn't fit right, try the alternate version.

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