Unit 5: Applications of Integration

Unit 5: Applications of Integration

• MonDay 3: Area Between Curves

  • • Video 1: Area vs. Area BOUNDED by Curves

    • Video 2: Area Dialed Up a Notch

    • Video 3: NOW What?

    • Video 4: Wait... This Isn't Hard...

    • Video 5: Oh...

      • • READ 6.1

        • 6.1: 1-4, 5-15 odd, 25, 36

          • • 9 and 11

            • 25 36

• Day 4: Volume Part 1: Discs and Washers

  • • Video 1: Picking Up Where We Left Off

    • Video 2: The Y-Axis

    • Video 3: Washers

    • Video 4: More With Region C

    • Video 5: Still More With Region C

      • • 6.2: 5-14, 19

          • • Requests

            • Book Answers

              • • 1-3 4-6 7-9

                • 10-12 13-17

        • Volume Animation

• Day 5: Volume Part 2: Cross Sections

  • • Video 1: Some Guided Practice Part a

    • Video 2: Some Guided Practice Part b

    • Video 3: Some Guided Practice Part c

    • Video 4: Cross Sections

    • Video 5: More Cross Sections

      • • AP Calculus AB's Volume Worksheet 2 can be done for extra practice

          • • Volume Worksheet 2 Answers

        • Solids with Known Cross Sections Worksheet

          • • Solids with Known Cross Sections Worksheet Answers

              • • 3b

• Day 6: Workday

  • • No New Videos. Watch for Requests to Appear on Day 5

      • • Aren't You Thankful FRQ 11 isn't Ready Yet?

• MonDay 7: Volume Part 3: Cylindrical Shells

  • • Video 1: Remember What We Were Doing a Week Ago??

    • Video 2: Now a New Method

      • • 6.2: Redo some of 5-14 using cylindrical shells

          • • 13 with Shells

    • Video 3: Another Example

      • • 6.2: 43 and 44

          • • Requests

        • 6.2 Extra Practice Worksheet

          • • 6.2 Extra Practice Worksheet Answers

            • Requests

    • Video 4: Don't Forget These

      • • Solids with Known Cross Sections Worksheet

          • • Solids with Known Cross Sections Worksheet Answers

            • See Day 5 for Requests

        • Whole Bunch of New Canvas Quizzes

• Day 8: Volume Part 4: Solids from Geometry

  • • Video 1: The Volume of a Pyramid

    • Video 2: The Volume of a Sphere

    • Video 3: The Volume of a Sphere

      • • Rework the examples from today's lecture

        • 6.2: 21-23

          • • 22 23

        • AP Calculus AB's Volume Worksheet 2 can be done for extra practice

          • • Volume Worksheet 2 Answers

• Day 9: Arc Length

  • • Video 1: Arc Length

    • Video 2: Length of an Arc

    • Video 3: Arcs and Their Lengths

    • Video 4: Distance Along a Curve From One Point to Another Point

      • • 6.3: 5-9, 17, 19

          • • Requests

        • Arc Length Worksheet

          • • Arc Length Worksheet Answers

• Day 10: Final Practice Session on Volume

  • • Video 1: One of the True Joys of Teaching

    • Video 2: 1a

    • Video 3: 1b

    • Video 4: 1c

    • Video 5: 2a

    • Video 6: 2b

    • Video 7: 2c

      • • Solids Extra Practice Worksheet 2

          • • Solids Extra Practice Worksheet 2 Answers

FRQ 11: Volumes of Solids

(Calculator Required. Be sure to include the Integral you are approximating)

(Shoot for about 30 minutes)

• FriDay 11: Average Value

  • • Video 1: Average Value

      • • 6.4: 1-8

        • A Pile of Canvas Quizzes