Decision 6: Acquisition Lesson:
Title:
How and why are some integrals evaluated by using substitution of variables?
Acquisition Lesson(s):
1. How can the area under a curve be estimated using the rectangular approximation methods and the Trapezoidal Method?2. What is the Fundamental theorem of calculus and what makes it so important?3. How are antiderivatives used to find slope fields?4. How is the Fundamental Theorem of Calculus used to calculate the definite or indefinite integral of a functions?5. How are functions identified from their slope field?6. How and why are some integrals evaluated by using substitution of variables?7. How and why are some integrals evaluated by using integration by parts?Extended Thinking Lesson(s):
1. What is the Fundamental theorem of calculus and what makes it so important?2. How and why are some integrals evaluated by using substitution of variables?3. How and why are some integrals evaluated by using integration by parts?