Academic Subject: Mathematics
Topic: Pythagoras Theorem
Grade Level: Year/Grade 8 (age of students is 12-13)
Length of Lesson: 30 minutes
Objectives:
- Students will be able to define the Pythagoras Theorem.
- Students will be able to identify the three sides of the right-angle triangle.
- Students will solve simple problems using Pythagoras Theorem.
- Students will understand the application of Pythagoras Theorem in real-life scenarios.
Materials Needed:
- Whiteboard/Blackboard
- Chalk/Markers
- Hand-outs with triangles
- Worksheets
Introduction (5 minutes)
- Ask students if they can identify what a right-angle triangle is.
- Draw a simple right-angle triangle on the board and explain that it has three sides - base, height, and hypotenuse.
- Explain that today's lesson is about the Pythagoras Theorem and how it can be applied to find the length of the hypotenuse.
Body (20 minutes)
Defining the Pythagoras Theorem (5 minutes)
- Write the formula for the Pythagoras Theorem on the board:
a² + b² = c².
- Explain that
a and b represent the base and height, while c represents the hypotenuse.
- Emphasize that this formula only applies to right-angle triangles.
Identifying the Three Sides of a Right-Angle Triangle (5 minutes)
- Hand out worksheets to students with simple right-angle triangles.
- Ask students to identify the base, height, and hypotenuse of the triangle.
Solving Problems using Pythagoras Theorem (10 minutes)
- Provide examples of right-angle triangles on the board.
- Ask students to calculate the length of the hypotenuse using the Pythagoras Theorem.
- Guide students through the steps to calculate the length of the hypotenuse.
Application of Pythagoras Theorem (5 minutes)
- Give real-life scenarios where Pythagoras Theorem can be applied.
- Ask students to identify real scenarios where Pythagoras Theorem can be applied.
Conclusion (5 minutes)
- Review the Pythagoras Theorem and its application to real-life scenarios.
- Hand out homework as necessary.
- Answer any questions students may have.