interior angles - maths working model - maths tlm - diy - simple and easy

how to make interior angles – maths working model – maths tlm – diy – simple and easy

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In this article we write about making of the maths tlm on interior angles – maths working model – maths tlm – diy – simple and easy

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Creating a working model to demonstrate the six types of interior angles using a rotatable design is a fantastic way to visualize and understand these mathematical concepts.

Here’s a step-by-step guide to making this model using cardboard, color paper, and a cardboard pipe for the rotatable mechanism.

Materials Needed:

  • Cardboard (for the base, rotating disks, and pipe)
  • Color paper (for covering and labeling)
  • Scissors or craft knife
  • Glue or hot glue gun
  • Markers or pens
  • Brass fasteners or paper fasteners (for attaching the rotating disks)
  • Ruler
  • Compass (for drawing circles)

Video guide on step by step making of interior angles – maths working model – maths tlm

1. Prepare the Base and Rotating Disks

  1. Base Preparation:
    • Cut a large rectangular piece of cardboard for the base. Cover it with color paper for a neat finish.
  2. Rotating Disks:
    • Use a compass to draw six triangle on cardboard. These will be the rotating disks, each representing a different type of interior angle.
    • Cut out the circles and cover them with color paper.
  3. Cardboard Pipe:
    • Create a cardboard pipe by rolling a piece of cardboard into a cylindrical shape and securing it with glue. This will serve as the central axis for the rotating disks.

2. Label and Attach Disks

  1. Label Disks:
    • Label each disk with the name of an interior angle type and include the definition and an example of the angle.
    The six types of interior angles might include:
    • Interior Angle (general)
    • Alternate Interior Angles
    • Same-Side Interior Angles (Consecutive Interior Angles)
    • Angles of a Polygon (Sum of interior angles)
    • Interior Opposite Angles
    • Interior Adjacent Angles
  2. Attach Disks to the Pipe:
    • Make a hole in the center of each disk using a compass or craft knife.
    • Insert the cardboard pipe through these holes. Ensure the disks can rotate around the pipe.
    • Secure the disks in place with brass fasteners or glue if necessary, allowing for rotation.

3. Create Definitions and Examples

  1. Definitions and Examples:
    • On each disk, write the definition of the interior angle type and draw an example showing the angles.
    • Use color paper to make the examples visually appealing and easy to understand.

4. Assemble the Model

  1. Attach Pipe to the Base:
    • Make a hole in the center of the base for the cardboard pipe.
    • Insert the pipe through the hole and secure it with glue, ensuring it stands upright and allows the disks to rotate freely.
  2. Position the Disks:
    • Ensure the disks are evenly spaced along the pipe and can rotate without obstruction.

5. Demonstrate the Interior Angles

  1. Interior Angle (General):
    • On one disk, define an interior angle and draw an example within a polygon.
    • Include the definition: “An interior angle is an angle formed between two sides of a polygon that is inside the polygon.”
  2. Alternate Interior Angles:
    • On another disk, define alternate interior angles and draw an example with two parallel lines and a transversal.
    • Include the definition: “Alternate interior angles are angles that are on opposite sides of the transversal and inside the parallel lines.”
  3. Same-Side Interior Angles (Consecutive Interior Angles):
    • On another disk, define same-side interior angles and draw an example.
    • Include the definition: “Same-side interior angles are two angles that are on the same side of the transversal and inside the parallel lines.”
  4. Angles of a Polygon (Sum of Interior Angles):
    • On another disk, show how to calculate the sum of interior angles of a polygon.
    • Include the definition: “The sum of the interior angles of a polygon is (n-2) × 180°, where n is the number of sides.”
  5. Interior Opposite Angles:
    • On another disk, define interior opposite angles and provide an example.
    • Include the definition: “Interior opposite angles are the angles formed inside a polygon by extending one of its sides.”
  6. Interior Adjacent Angles:
    • On another disk, define interior adjacent angles and provide an example.
    • Include the definition: “Interior adjacent angles are two angles that share a common side and vertex inside a polygon.”

6. Final Touches

  1. Ensure Functionality:
    • Check that all disks can easily rotate around the cardboard pipe to reveal the different angle types.
  2. Add Visual Aids:
    • Use different colors for different angle types to make them stand out.
    • Add small arrows or lines to clearly illustrate the angles.

Example Layout:

  • Top Disk: Interior Angle (General) with definition and example inside a polygon.
  • Second Disk: Alternate Interior Angles with definition and example using parallel lines and a transversal.
  • Third Disk: Same-Side Interior Angles with definition and example.
  • Fourth Disk: Angles of a Polygon with formula and example.
  • Fifth Disk: Interior Opposite Angles with definition and example.
  • Bottom Disk: Interior Adjacent Angles with definition and example.

By following these steps, you can create an interactive and educational rotatable model to demonstrate different types of interior angles.

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