Lesson Plan: Introduction to Integration

Objective: Students will be able to understand the concept of integration and apply it to real-life situations.

Materials: - Whiteboard and markers - Calculus textbook - Worksheets with integration problems - Real-life examples of integration

Introduction (10 minutes): - Begin by asking students if they have heard of integration before. Write down their responses on the board. - Explain that integration is a fundamental concept in calculus that involves finding the area under a curve. It is the opposite of differentiation, which involves finding the slope of a curve. - Give an example of a real-life situation where integration is used, such as calculating the amount of water in a swimming pool or the amount of paint needed to cover a wall.

Body (40 minutes): - Review the basic rules of integration, such as the power rule and the constant multiple rule. - Work through examples of integration problems on the board, showing step-by-step how to find the antiderivative of a function. - Have students work on worksheets with integration problems, either individually or in pairs. - Provide real-life examples of integration, such as calculating the amount of work done by a machine or the amount of energy stored in a battery.

Conclusion (10 minutes): - Review the key concepts of integration and ask students if they have any questions. - Have students share their real-life examples of integration and discuss how they used calculus to solve the problem. - Encourage students to continue practicing integration and applying it to real-life situations.

Assessment: - Evaluate students’ understanding of integration through their performance on the worksheets and their ability to explain real-life examples of integration.