Exploring Pythagoras Theorem: Unlocking the Secrets of Triangles

Exploring Pythagoras Theorem: Unlocking the Secrets of Triangles

3rd grade, 11-11- 2023

Learning Objective

At the end of the lesson, you will be able to understand Pythagoras theorem and apply the Pythagoras formula to triangles.

What do you already know about Pythagoras theorem and how it can be applied to triangles?

Slide 1: Introduction

Pythagoras theorem is a fundamental concept in geometry that relates to the relationship between the sides of a right triangle.

Slide 2: Pythagoras Theorem

Pythagoras 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: Pythagoras Formula

The Pythagoras formula is a mathematical equation derived from the theorem: a^2 + b^2 = c^2.

Slide 4: Applying Pythagoras Theorem

To apply Pythagoras theorem, identify the two shorter sides (a and b) and the hypotenuse (c) of a right triangle, then substitute the values into the formula to find the unknown side.

Slide 5: Example Problem 1

Given a right triangle with side lengths a = 3 and b = 4, find the length of the hypotenuse (c).

Slide 6: Example Problem 2

Given a right triangle with side lengths a = 5 and c = 13, find the length of the missing side (b).

Slide 7: Real-Life Applications

Pythagoras theorem is widely used in various fields such as architecture, engineering, and navigation to calculate distances, determine angles, and solve practical problems.

Slide 8: Summary

In summary, Pythagoras theorem is a powerful tool for solving right triangles and has wide-ranging applications in different fields.

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.