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Product Details
Objective:
Demonstrate a model of Pythagoras Theory Proof to visually illustrate and demonstrate the mathematical principles behind the Pythagorean Theorem.
Materials included:
Wooden or Plastic Case
A triangle
liquid
Materials not included in the kit:
Materials not included in the kit
Procedure and assembly steps:
Procedure included in the kit manual . This is not a ready made product. Student needs to follow the steps to assemble the model…
Description:
Pythagoras’ Theorem Proof Model:
Pythagoras’ theorem is a fundamental principle in geometry that states in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
- Introduction: Explain to children that Pythagoras’ theorem helps us understand the relationship between the sides of a right triangle. Start by drawing a right triangle, labeling its three sides as “a,” “b,” and “c.”
- Squares on Sides: Inside the triangle, draw squares on each side: a square on side “a,” a square on side “b,” and a square on side “c.” These squares represent the areas of the corresponding sides.
- Area Comparison: Show that the area of the square on side “c” (the longest side, also known as the hypotenuse) is equal to the sum of the areas of the squares on sides “a” and “b.” You can visually demonstrate this by cutting out the squares and rearranging them.
- Equation: Write the equation: c² = a² + b². Explain that this equation is the essence of Pythagoras’ theorem. It says that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
- Examples: Use simple numbers to illustrate this concept. For instance, if “a” is 3 units long and “b” is 4 units long, show that “c” (the hypotenuse) is 5 units long. This follows the Pythagorean theorem: 3² + 4² = 5².
- Practical Applications: Explain how this theorem is used in real life, such as in construction to make sure buildings are square, in navigation, or even in designing video game graphics.
Learning outcome:
Have a better understanding of Pythagoras Theory Proof to visually illustrate and demonstrate the mathematical principles behind the Pythagorean Theorem using the model built by the student in this project
Section or subject:
Math
Grades:
6+
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