Pythagoras and Real Life Problems

Pythagoras and Real Life Problems

Learning objective

At the end of the lesson you should be able to apply Pythagoras' theorem in real-life and worded problems at the level of KS3

This slide should be displayed at the beginning of the presentation as an overview of the lesson's objective.

What do you already know about Pythagoras' theorem and its applications in real life?

Review of Pythagoras' Theorem

Pythagoras' theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

This slide should be used to review the basic concept of Pythagoras' theorem, and provide a starting point for the lesson.

Real-Life Applications

Pythagoras' theorem can be used to find the distance between two points, the height of a building, and the length of a diagonal of a TV screen or computer monitor.

This slide should introduce some real-life examples where Pythagoras' theorem can be applied, and help students understand the relevance of the topic.

Diagramming the Problem

Before applying Pythagoras' theorem, it's important to draw a diagram of the problem to help visualize the triangle and identify the sides.

This slide should provide guidance on how to diagram a problem and identify the sides of the triangle.

Solving Real-Life Problems

To solve a real-life problem using Pythagoras' theorem, identify the two sides of the triangle that are known, square them, add them together, and then take the square root of the sum.

This slide should provide a step-by-step guide on how to solve a real-life problem using Pythagoras' theorem.

Word Problems

Word problems often involve Pythagoras' theorem, but require careful reading and problem-solving skills to identify the relevant information and solve the problem.

This slide should provide an introduction to word problems and highlight the need for careful reading and problem-solving skills.

Example Word Problem

A ladder is leaning against a wall. The base of the ladder is 6 feet from the wall and the ladder is 8 feet long. How far up the wall does the ladder reach?

This slide should present an example word problem and guide students through the process of solving it using Pythagoras' theorem.

Practice Problems

Use the following problems to practice applying Pythagoras' theorem to real-life and word problems.

This slide should provide practice problems for students to work on independently or in groups.

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.