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 hideandopen 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.

 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.