In this article we show you how to make the Pythagoras theorem working model math’s project

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Creating a Pythagoras theorem working model using grains, cardboard, and a transparent sheet is a great way to visualize this fundamental mathematical principle.

This model will demonstrate the relationship between the areas of the squares on the sides of a right triangle. Here’s a step-by-step guide:

### Materials Needed:

**Cardboard**: For the base and squares.**Transparent Sheet**: For covering the squares.**Grains**: Such as rice or lentils, to fill the squares.**Glue**: For assembling the model.**Scissors and Craft Knife**: For cutting the cardboard and transparent sheet.**Ruler and Compass**: For measuring and drawing shapes.**Markers or Paint**: For labeling and decorating.

### Video steps on making Pythagoras theorem working model math’s project

#### 1. Prepare the Base:

- Cut a large rectangular piece of cardboard to serve as the base of your model.
- Optionally, cover the base with color paper or paint it for a more polished look.

#### 2. Draw and Cut Out the Right Triangle:

- On the cardboard base, draw a right-angled triangle. Ensure the sides are proportional, such as 3 cm, 4 cm, and 5 cm (a 3-4-5 triangle), or any other Pythagorean triplet.
- Cut out the right triangle from the cardboard.

#### 3. Create the Squares on Each Side of the Triangle:

**Square on the Hypotenuse**:- Measure the length of the hypotenuse.
- Draw a square with sides equal to the length of the hypotenuse.
- Cut out the square from cardboard.

**Squares on the Legs**:- Measure the lengths of the two legs of the triangle.
- Draw squares with sides equal to the lengths of these legs.
- Cut out these squares from cardboard.

#### 4. Attach the Squares to the Base:

- Position the right triangle on the base.
- Glue the triangle securely to the base.
- Attach the corresponding squares to each side of the triangle. Ensure the squares on the legs are perpendicular to the triangle, and the square on the hypotenuse is correctly aligned.

#### 5. Create the Transparent Covers:

- Cut pieces of the transparent sheet slightly larger than each square. These will be used to cover the squares to hold the grains in place.
- Use glue to attach the transparent sheets to the squares on the base, leaving one side open for adding the grains.

#### 6. Fill the Squares with Grains:

- Carefully fill each square with grains, ensuring an even layer that completely covers the area of each square.
- Once filled, seal the open sides of the transparent sheets with glue to keep the grains in place.

#### 7. Label the Model:

- Use markers or paint to label the sides of the triangle (a, b, and c) and their corresponding squares (a², b², and c²).
- You can also write the Pythagorean theorem equation: a2+b2=c2a² + b² = c²a2+b2=c2 on the base near the model.

### Conclusion:

This Pythagoras theorem working model is an excellent hands-on project to illustrate the relationship between the sides of a right triangle and their corresponding squares. It’s perfect for a school project or math exhibition, providing a clear and interactive demonstration of this important mathematical concept. Enjoy making and showcasing your model!