In this blog post we write about making of the maths model on types of angles (pair of angels) – maths tlm working model – diy project
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Creating a working model to demonstrate the types of angle pairs using cardboard and color paper is an engaging way to help students understand this concept.
Here’s how to make a model with definitions and examples for each pair of angles in a triangular shape that can hide and open.
Materials Needed:
- Cardboard (for the base and triangular shapes)
- Color paper (for covering and labeling)
- Scissors or craft knife
- Glue or hot glue gun
- Markers or pens
- Brass fasteners or paper fasteners (for the hide-and-open mechanism)
- Ruler
Video instructions guide on types of angles (pair of angels) – maths tlm working model – diy project
1. Prepare the Base and Triangles
- Base Preparation:
- Cut a large rectangular piece of cardboard to serve as the base. Cover it with color paper for a neat finish.
- Triangle Shapes:
- Cut out several triangular shapes from the cardboard. Each triangle will have a base that can open and close.
- Cover each triangle with color paper.
2. Create Definitions and Examples
- Types of Angle Pairs:
- Complementary Angles (sum is 90 degrees)
- Supplementary Angles (sum is 180 degrees)
- Adjacent Angles (share a common side and vertex)
- Vertical Angles (opposite angles formed by two intersecting lines)
- Alternate Interior Angles (inside parallel lines on opposite sides of the transversal)
- Corresponding Angles (same side of the transversal, one interior, one exterior)
- Alternate Exterior Angles (outside parallel lines on opposite sides of the transversal)
- Definitions and Examples:
- Write the definition and an example for each type of angle pair on a small piece of color paper.
- Attach these pieces inside the triangular shapes so they can be revealed when opened.
3. Assemble the Model
- Attach Angles to the Base:
- Position the angles shapes on the base. Arrange them so they are evenly spaced.
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- Add Details and Decorate:
- Use markers or printed labels to add details and make the model visually appealing.
- Decorate the base and the triangles with additional color paper or markers to highlight key concepts.
4. Demonstrate the Angle Pairs
- Complementary Angles:
- Inside the triangle labeled “Complementary Angles,” show two angles that add up to 90 degrees, such as 30° and 60°.
- Include the definition: “Two angles whose measures add up to 90 degrees.”
- Supplementary Angles:
- Inside the triangle labeled “Supplementary Angles,” show two angles that add up to 180 degrees, such as 110° and 70°.
- Include the definition: “Two angles whose measures add up to 180 degrees.”
- Adjacent Angles:
- Inside the triangle labeled “Adjacent Angles,” show two angles that share a common side and vertex, such as 40° and 50°.
- Include the definition: “Two angles that share a common side and vertex.”
- Vertical Angles:
- Inside the triangle labeled “Vertical Angles,” show two opposite angles formed by intersecting lines, such as 45° and 45°.
- Include the definition: “Two angles that are opposite each other when two lines intersect.”
- Alternate Interior Angles:
- Inside the triangle labeled “Alternate Interior Angles,” show two angles on opposite sides of a transversal inside parallel lines, such as 70° and 70°.
- Include the definition: “Angles that are on opposite sides of the transversal but inside the parallel lines.”
- Corresponding Angles:
- Inside the triangle labeled “Corresponding Angles,” show two angles that are on the same side of the transversal, one inside and one outside the parallel lines, such as 80° and 80°.
- Include the definition: “Angles that are on the same side of the transversal, one interior and one exterior.”
- Alternate Exterior Angles:
- Inside the triangle labeled “Alternate Exterior Angles,” show two angles on opposite sides of the transversal outside the parallel lines, such as 120° and 120°.
- Include the definition: “Angles that are on opposite sides of the transversal but outside the parallel lines.”
5. Final Touches
- Ensure Functionality:
- Check that all triangular shapes can easily open and close to reveal the definitions and examples.
- Add Visual Aids:
- Add small arrows or lines to illustrate the angles clearly inside each triangle.
- Optionally, use different colors for different types of angles to make them stand out.
Example Layout:
- Top Left: Triangle labeled “Complementary Angles” with a 30° and 60° example inside.
- Top Right: Triangle labeled “Supplementary Angles” with a 110° and 70° example inside.
- Center Left: Triangle labeled “Adjacent Angles” with a 40° and 50° example inside.
- Center Right: Triangle labeled “Vertical Angles” with a 45° and 45° example inside.
- Bottom Left: Triangle labeled “Alternate Interior Angles” with a 70° and 70° example inside.
- Bottom Right: Triangle labeled “Corresponding Angles” with an 80° and 80° example inside.
- Bottom Center: Triangle labeled “Alternate Exterior Angles” with a 120° and 120° example inside.
By following these steps, you can create an interactive and educational model to demonstrate the different types of angle pairs.