Definite and Indefinite Integration

Essential Question:

How can we apply the concept of integration to calculate the area under a curve, and why is this process important in real-world scenarios?

Portrait of a Graduate:

Adaptive Perseverance: Students will tackle challenging integration problems, applying various strategies until they find a solution.

Critical Thinking: Students will analyze different real-life scenarios where integration is applicable, understanding the importance of accurate calculations.

Global Citizenship: Understanding the impact of mathematical calculations, like area under a curve, in fields such as environmental science, engineering, and economics, fostering a sense of responsibility towards societal progress.

Inquiry Question:

What does the area under a curve represent in real-life situations?

2. Inquiry Question:

How does the concept of definite integration help in calculating the area under a curve?

3. Inquiry Question:

Why is it important to understand both definite and indefinite integrals in the context of real-world applications?

Student Outcomes:

Students will be able to use Riemann sums and the properties of definite integrals to calculate areas under curves.

2. Student Outcomes:

Students will understand the application of the power rule and other integration techniques to find indefinite integrals.

3. Student Outcomes:

Students will appreciate the importance of integration in solving real-world problems involving area calculations.

Skills Demonstrated:

Determining antiderivatives of a function.

Determining the area under a curve over a specified interval.

Standards:

Standards for Calculus sit outside the Common Core Standards for K-12

Resources:

[Our Hidden Google Drive Resource link]

Page updated

Report abuse