# Discovering the Pythagorean Theorem

Discovering the Pythagorean Theorem
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Slide 1: Slide

This lesson contains 13 slides, with interactive quizzes and text slides.

## Items in this lesson

Discovering the Pythagorean Theorem

#### Slide 1 -Slide

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Learning Objective
At the end of the lesson, you will be able to understand and apply the Pythagorean theorem.

#### Slide 2 -Slide

Introduce the topic and explain the importance of learning the Pythagorean theorem.

#### Slide 3 -Mind map

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What is the Pythagorean Theorem?
The Pythagorean Theorem is a fundamental concept in geometry that states that in a right-angled 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.

#### Slide 4 -Slide

Explain the definition of the Pythagorean Theorem with examples.
The Formula
The formula for the Pythagorean Theorem is a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

#### Slide 5 -Slide

Show the formula and explain how it is used to find the length of the hypotenuse or one of the other two sides of a right-angled triangle.
Example 1
Find the length of the hypotenuse in a right-angled triangle with sides of length 3 and 4.

#### Slide 6 -Slide

Show how to solve the problem using the Pythagorean Theorem formula.
Example 2
Find the length of one of the other sides in a right-angled triangle with a hypotenuse of length 5 and one side of length 3.

#### Slide 7 -Slide

Show how to solve the problem using the Pythagorean Theorem formula.
Real-World Applications
The Pythagorean Theorem is used in many real-world applications, such as construction, engineering, and navigation.

#### Slide 8 -Slide

Give examples of how the Pythagorean Theorem is used in various fields.
Interactive Activity
Draw a right-angled triangle on the board and ask students to find the length of the hypotenuse or one of the other sides using the Pythagorean Theorem formula.

#### Slide 9 -Slide

Engage students in an activity where they can apply their knowledge of the Pythagorean Theorem.
Review
The Pythagorean Theorem is a fundamental concept in geometry that states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. It can be used to find the length of the hypotenuse or one of the other two sides of a right-angled triangle. The Pythagorean Theorem is used in many real-world applications, such as construction, engineering, and navigation.

#### Slide 10 -Slide

Summarize the key points of the lesson and ask students if they have any questions or need further clarification.
Write down 3 things you learned in this lesson.

#### Slide 11 -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 12 -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.