ONLINE Unit 6: Applications of Integration

Unit 6: Applications of Integration

• MonDay 21: Area

  • • Video 1: Area Under Curves vs Area Bounded by Curves

    • Video 2: Example 1 Part 1

    • Video 2: Example 1 Part 2

    • Video 3: Example 2

    • Video 4: General Tips

      • • Rework the in-class examples

        • 6.1: 1-4, 13-14, 17-18, 27-31 odd, 45

          • • 14 17 and 18 29

        • Everyone who is taking the AP exam now needs to buy an AP Calculus Review Book. I recommend: THIS ONE

• Day 22: Volume Part 1: Discs

  • • Video 1: Another Area Example

    • Video 2: Something Worse

    • Video 3: A Bad Idea

    • Video 4: A Good Idea

      • • Volume Worksheet 0.5

          • • Volume Worksheet 0.5 Answers (#5 is ESPECIALLY Vital)

        • 6.3: 1-11 odd

          • • 5 9 11

    • Volume Animation

• Day 23: Buffer Day

  • • No New Videos

      • • Be sure to master Day 22 before tomorrow

• Day 24: Washers

  • • Video 1: Work Ahead of the Videos

      • • Volume Worksheet 1

    • Video 2: Find the Area of A

    • Video 3: Find the Area of A again

    • Video 4: Volume of A, X-Axis

    • Video 5: Volume of A, Y-Axis

    • Video 6: Volume of A, y = 5

    • Video 7: Volume of A, x = -1

    • Video 8: Cross Sections Preview (Might save these last two for Day 25)

    • Video 9: More Cross Sections Preview

      • • Volume Worksheet 1 (We did this in class. You need to do it 999 more times)

          • • Volume Worksheet 1 Answers

• FriDay 25: Washers Day 2

  • • Video -1: Watch Video 8 from Day 24?

    • Video 0 : Watch Video 9 from Day 24?

    • Video 1: Would you Like to See What BC Learned for Bonus Practice?

      • • 6.3: 45-51 odd

          • • Oops... 47 and 49 fused together into a new problem

            • 45 47 (Note: Back of the book is very wrong)

            • 49 51

    • BC Video 2: Picking Up Where We Left Off

    • BC Video 3: The Y-Axis

    • BC Video 4: Washers

    • BC Video 5: More With Region C

    • BC Video 6: Still More With Region C

• MonDay 26: Solids with Known Cross Sections

  • • Video 1: Introduction to Today

      • • Solids with Known Cross Sections (1 and 2 only)

        • New Canvas Quiz

    • Video 2: Sal is a Better Artist Than I

    • Video 3: Working on 1a

    • Video 4: Working on 1b

    • Video 5: Working on 1c

      • • Solids with Known Cross Sections (#3 only if you feel inspired)

          • • Solids with Known Cross Sections Answers

              • • 2a Video

                • 2b Video

        • 6-2: 9-11, 13

          • • 9 10

            • 11 13

    • Bonus BC Video : Cross Sections

    • Bonus BC Video : More Cross Sections

• Day 27: Volume Workday

  • • No Preset Videos - Request some videos about the worksheet below

      • • Volume Worksheet 2

          • • Volume Worksheet 2 Answers

              • • Let me know what of the above you'd like a video conversation about

• Day 28: Even MORE Practice

  • • No New Videos

      • • Volume Worksheet 3

          • • Volume Worksheet 3 Answers

              • • Let me know what of the above you'd like a video conversation about

FRQ 14: Area and Volume

(30 points, shoot for around 45 minutes)

• Day 29: Average Value

  • • Video 1: Derivation of the Average Value Formula

    • Video 2: Example 1

    • Video 3: The Mean Value Theorem

    • Video 4: Example 2

      • • Check Canvas for Canvas Quiz

        • 6.2: 39-46

          • • Requests

        • Average Value and Mean Value Theorem Worksheet

          • • Average Value and Mean Value Theorem Worksheet Answers

• FriDay 30: Arc Length

  • • Video 1: Derivation of Arc Length

    • Video 2: Example of Arc Length

      • • Canvas Quizzes

        • Arc Length Worksheet 0.5

          • • Arc Length Worksheet 0.5 Answers

        • Arc Length Worksheet

          • • Arc Length Worksheet Answers

        • 8.1: 5-10

          • • Requests

        • Everyone who is taking the AP exam now needs to buy an AP Calculus Review Book. I recommend: THIS ONE

• TuesDay 31: Bonus - Cylindrical Shells Day 1

  • • Video 1: Here is Some Bonus Stuff, Not on the AP Exam

    • Video 2: Remember What We Were Doing a Week Ago??

    • Video 3: Now a New Method

    • Video 4: Another Example

      • • Cylindrical Shells Practice

        • Canvas Quizzes

• Day 32: Bonus - Cylindrical Shells Day 2

  • • No Video

      • • New Stuff Tomorrow!