In this article we have given the information on how to make the circle theorems – math’s working model – tlm model making using cardboard – diy – simple and easy
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Creating a teaching-learning material (TLM) model for circle theorems with a 6-door shaped format is a wonderful hands-on approach to teaching mathematics.
Here’s how to create this interactive model:
Materials Needed:
- Large piece of cardboard (for the base)
- Smaller pieces of cardboard (for the doors and supports)
- Color paper (for covering and decorating the model)
- Markers or pens
- Scissors or craft knife
- Glue or hot glue gun
- Brass fasteners or hinges (for the doors)
- Ruler
- Protractor (for accurate angle measurement)
Step by step video info on circle theorems – math’s working model
1. Prepare the Base
- Base Preparation:
- Cut a large rectangular piece of cardboard to serve as the base.
- Cover the base with white or colored paper for a clean background.
- Draw the Circle:
- Draw a large circle in the center of the base using a compass or by tracing around a round object.
2. Create the Doors
- Cut the Doors:
- Cut six rectangular pieces of cardboard to serve as the doors. Each door will open to reveal a different theorem.
- Ensure the doors are large enough to cover sections of the circle on the base.
- Cover the Doors:
- Cover each door with colored paper and label them with numbers 1 through 6.
3. Attach the Doors to the Base
- Attach Hinges:
- Use brass fasteners or small hinges to attach the doors to the base. Place each door around the circle so that it can open to reveal part of the circle and the corresponding theorem.
- Ensure Smooth Operation:
- Test each door to make sure it opens and closes smoothly.
4. Draw and Explain the Theorems
- Inside the Doors:
- On the cardboard base, draw the diagrams for each of the six theorems inside the area that will be covered by each door.
- Write the explanation and proof of each theorem next to its corresponding diagram.
- Theorems to Include:
- Theorem 1: The angle subtended by an arc at the center is twice the angle subtended by it at any point on the remaining part of the circle.
- Theorem 2: Angles in the same segment of a circle are equal.
- Theorem 3: The angle in a semicircle is a right angle.
- Theorem 4: The opposite angles of a cyclic quadrilateral are supplementary.
- Theorem 5: The tangent at any point of a circle is perpendicular to the radius through the point of contact.
- Theorem 6: Tangents drawn from an external point to a circle are equal.
5. Label and Decorate
- Label the Theorems:
- Label each door with the corresponding theorem number and title on the outside.
- On the inside, provide a clear and concise explanation of each theorem, including any necessary diagrams.
- Decorate the Model:
- Use color paper and markers to make the model visually appealing.
- Add any additional decorations or labels to enhance clarity and engagement.
Final Touches:
- Interactive Elements:
- Add small handles to the doors to make them easier to open.
- Ensure all diagrams and explanations are clear and easy to read.
- Test the Model:
- Open and close each door to ensure that the model functions correctly and that the explanations are correctly positioned.
By following these steps, you can create an effective and interactive TLM model that demonstrates the six key circle theorems.