L(5-5) Idefinite integral and substitution method (1).pptx

Idefinite integral and substitution method

1. Chapter5: Integrals Lesson 5.5: :Indefinite integral the substitution method

2. Standards : 17.0 Students compute, by hand, the integrals of a wide variety of functions by using techniques of  integration , such as substitution,  integration  by parts, and trigonometric substitution. They can also combine these techniques when appropriate . 20.0 Students compute the integrals of trigonometric functions by using the techniques noted above.

3. Learning intentions: Evaluate an   indefinite  integral using the substitution method .   Successes criteria : I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary: Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

4. Essential question When can you use the substitution method to find an indefinite integral?

5. Period 1

6. Learning intentions : Evaluate an indefinite integral using the substitution method .   Engage Time: 4 minutes Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method Find the first derivatives (  

7. Time: 5 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method Focus then discuss with your group 1) The relation between the product rule. 2)How can you use power rule ? 3)Can I use chain rule ? Why

8. EXPLAIN  Time: 8 to 10 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

9. EXPLAIN  Time: 8 to 10 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

10. EXPLAIN  Time: 8 to 10 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

11. ( You Do ) Time: 15 minutes Task-1 Task-2 Task-3 Task-4 Elaborate Lesson 5.5: :Indefinite integral the substitution method

12. Write what did you learn today, what you need to focus on to master the concept and what do you need from the teacher to help you to master the concept? Feedback Task ( Exit ticket) Time: 4 minutes . Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method https://quizizz.com/admin/quiz/65dd1b9ca38c70118353d45e?source=quiz_share

13. Period 2

14. Engage Time: 4 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

15. Time: 5 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

16. EXPLAIN  Time: 8 to 10 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

17. EXPLAIN  Time: 8 to 10 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

18. ( You Do ) Time: 15 minutes Task-1 Task-2 Task-3 Task-4 Elaborate Lesson 5.5: :Indefinite integral the substitution method

19. Write what did you learn today, what you need to focus on to master the concept and what do you need from the teacher to help you to master the concept? Feedback Task ( Exit ticket) Time: 4 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method https://quizizz.com/admin/quiz/65dd1c16f2c58491a6fe9dce?source=quiz_share

20. Period 3

21. Engage Time: 4 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

22. Time: 5 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

23. EXPLAIN  Time: 8 to 10 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

24. EXPLAIN  Time: 8 to 10 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method

25. ( You Do ) Time: 15 minutes Task-1 Task-2 Task-3 Task-4 Elaborate Lesson 5.5: :Indefinite integral the substitution method

26. Write what did you learn today, what you need to focus on to master the concept and what do you need from the teacher to help you to master the concept? Feedback Task ( Exit ticket) Time: 4 minutes Learning intentions : Evaluate an indefinite integral using the substitution method .   Success criteria I can use the reverse chain rule to find an indefinite integral. I can use pattern recognition to find an indefinite integral. I can use change of variable to find an indefinite integral. I can use the general power rule for integration to find an indefinite integral Vocabulary : Reverse chain rule U substitution Indefinite integral General power rule Lesson 5.5: :Indefinite integral the substitution method https://quizizz.com/admin/quiz/65dd1c7776555ebd3d62789e?source=quiz_share