how to make maths 3d shapes working model – tlm – geometry project with faces – edges and vertex

In this post I write about making of the maths 3d shapes working model – tlm – geometry project with faces – edges and vertex

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Creating a 3D shapes working model for a geometry project using cardboard and color paper is a fantastic way to learn about the properties of shapes, including faces, edges, and vertices.

Here’s a step-by-step guide:

Materials Needed:

  • Cardboard (for constructing the shapes)
  • Color paper (for covering the shapes and adding details)
  • Scissors
  • Glue or double-sided tape
  • Ruler
  • Marker or pen
  • Protractor (for measuring angles)
  • Hot glue gun (optional, for stronger connections)

Step by Step Guide on Making of maths 3d shapes working model

1. Prepare the Templates

  1. Draw the Net:
    • Use a ruler and protractor to draw the nets (2D layouts) for the 3D shapes on cardboard. Common shapes include cubes, pyramids, prisms, and cylinders. Here are the nets for a few shapes:
      • Cube: A net with 6 equal squares.
      • Triangular Pyramid: A net with 1 triangular base and 3 triangular faces.
      • Rectangular Prism: A net with 2 rectangular bases and 4 rectangular faces.
      • Cylinder: A net with 2 circular bases and 1 rectangular curved surface.
    • Ensure the dimensions are accurate for the shapes to assemble correctly.
  2. Cut Out the Nets:
    • Carefully cut out the nets from the cardboard using scissors or a craft knife.

2. Assemble the Shapes

  1. Fold the Edges:
    • Score along the edges of the nets using a blunt edge (like the back of a knife) to make folding easier. Fold along all the lines to prepare for assembly.
  2. Glue the Edges:
    • Apply glue or double-sided tape to the tabs on the nets. Assemble the shapes by folding and gluing the tabs to form the 3D shapes.
  3. Secure the Shapes:
    • Ensure all edges are securely glued and the shapes hold their form. Use a hot glue gun for stronger connections if needed.

3. Cover with Color Paper

  1. Cut Color Paper:
    • Cut pieces of color paper to fit each face of the 3D shapes. You can use different colors for each face to make the shapes visually appealing and easier to understand.
  2. Glue the Color Paper:
    • Glue the color paper onto each face of the shapes. Ensure the paper is neatly attached and covers the cardboard completely.

4. Label the Shapes

  1. Label Faces, Edges, and Vertices:
    • Use a marker to label each face, edge, and vertex of the shapes. You can use small numbers or letters for the labels.
    • Alternatively, you can use small pieces of color paper to create labels and glue them onto the shapes.
  2. Create a Key:
    • Create a key on a separate piece of cardboard or paper that explains the labels. For example, “F” for faces, “E” for edges, and “V” for vertices.

5. Presentation and Explanation

  1. Arrange the Shapes:
    • Arrange the 3D shapes on a base made of cardboard for presentation. You can glue or tape the shapes to the base to keep them in place.
  2. Explain the Properties:
    • Prepare explanations for each shape, highlighting the number of faces, edges, and vertices. Discuss the properties of each shape and how they differ from one another.
  3. Interactive Elements:
    • Consider adding interactive elements, such as removable labels or flaps, to make the model more engaging.

By following these steps, you can create a comprehensive and visually appealing working model of 3D shapes that effectively demonstrates their properties.

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