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Parabola Manipulative

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  • 👁 1.1k views
  • 2 likes
  • 16 downloads

3D model description

Use this manipulative to build an intuitive understanding of how the "b" coefficient of a quadratic function affects the graphed parabola.

Here's a quick overview video:

http://www.youtube.com/watch?v=PmrzcR4H6xw

Given a quadratic equation of the form:

y = ax^2 + bx + c

The "a" coefficient stretches the parabola vertically. The "c" coefficient moves the parabola up and down. These are easy to understand. But the "b" coefficient is a little more tricky. Use this manipulative to get a feel for how it works.

For teachers I've included the following:

1) Non-verbal instructions for assembling (pdf file). I like giving students opportunities to practice following visual instructions.

2) Exploration Guide (pdf file). Good questions for project-based learners to explore parabolas using this manipulative.

3) A game-based virtual manipulative for students to interact with online:

http://sso.stmath.com/demo/parabola/ParabolaManipulative.html

Here are the Common Core standards connected to this manipulative: F_IF.7, G_GPE_3.1 (California addition), G_GPE.1 and G_GPE.2.

The source files in SketchUp are also provided in a zip archive.


3D printing settings

Print out all the parts and then follow the visual instructions in the Visual_Instructions.pdf file.

Here are the colored filaments I used for the different parts:

WHITE: Parabola Backbone.stl, Parabola Frame.stl, Parabola Slope Knob.stl

BLACK: Parabola Slope Bar.stl, Parabola Slope Pin.stl

BLUE: Parabola Rods.stl

3D printer file information

  • 3D design format: STL and ZIP Folder details Close
    • Parabola_Backbone.stl
    • Parabola_Base.stl
    • Parabola_Frame.stl
    • Parabola_Rods.stl
    • Parabola_Slope_Bar.stl
    • Parabola_Slope_Knob.stl
    • Parabola_Slope_Pin.stl
    • Source_Files.zip

    Learn more about the formats

  • Publication date: 2018/11/29 at 15:26

License

CC BY SA

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