Discovering the Pythagorean Theorem

Discovering the Pythagorean Theorem

Learning Objective

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

What do you already know about the Pythagorean Theorem?

Slide 1: Introduction

The Pythagorean Theorem is a fundamental concept in mathematics that relates to right triangles.

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.

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.

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.

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?

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.

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.

Slide 8: Interactive Activity

Let's solve a few interactive problems together to reinforce our understanding of the Pythagorean Theorem.

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.

Slide 20: Conclusion

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

Write down 3 things you learned in this lesson.

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.

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

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.