# Discovering the Pythagorean Theorem

Discovering the Pythagorean Theorem
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Slide 1: Slide

This lesson contains 16 slides, with interactive quizzes and text slides.

## Items in this lesson

Discovering the Pythagorean Theorem

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Learning Objective
At the end of the lesson, you will be able to understand and apply the Pythagorean Theorem to solve mathematical problems.

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#### Slide 3 -Mind map

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Slide 1: Introduction
The Pythagorean Theorem is a fundamental concept in mathematics that relates to right triangles.

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Slide 2: Pythagorean Theorem Formula
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

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Slide 3: Example 1
Let's consider a right triangle with side lengths of 3 units and 4 units. To find the length of the hypotenuse, we can use the Pythagorean Theorem.

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Slide 4: Example 1 Solution
Using the Pythagorean Theorem, we can calculate the length of the hypotenuse as follows: c² = 3² + 4² = 9 + 16 = 25. Therefore, c = √25 = 5 units.

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Slide 5: Example 2
Now, let's consider another right triangle with side lengths of 5 units and 12 units. Can you determine the length of the hypotenuse using the Pythagorean Theorem?

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Slide 6: Example 2 Solution
Using the Pythagorean Theorem, we can calculate the length of the hypotenuse as follows: c² = 5² + 12² = 25 + 144 = 169. Therefore, c = √169 = 13 units.

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Slide 7: Real-Life Applications
The Pythagorean Theorem has various real-life applications, such as calculating distances, determining the height of buildings, and solving navigation problems.

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Slide 8: Interactive Activity
Let's solve a few interactive problems together to reinforce our understanding of the Pythagorean Theorem.

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Slide 9-19: Interactive Activity Problems
Present a series of problems with varying difficulty levels and encourage students to solve them using the Pythagorean Theorem.

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Slide 20: Conclusion
Congratulations! You have successfully learned about the Pythagorean Theorem and its applications. Remember to practice solving problems to reinforce your understanding.

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Write down 3 things you learned in this lesson.

#### Slide 14 -Open question

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.
Write down 2 things you want to know more about.

#### Slide 15 -Open question

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.