Day 75 - Volume: The Disk Method - 12.09.14

Updates
  • Unit 5/6 Test
    • Average = 82%
    Bell Ringer Quiz
    • Area

    1. Find the area between the two functions: from x = 0 to x = 5.

      1. 5

      2. 10

      3. -5

      4. 0

      5. none of the above

    2. Find the area between the two functions: from x = 0 to x = 2.

      1. -4

      2. 4

      3. 0

      4. 2

      5. none of the above

    3. Graph each equation. Find the area between the two curves:

      1. 1/4

      2. 1/2

      3. 1/12

      4. 5/6

      5. none of the above

    4. Graph each equation. Find the area between the two curves:

      1. 1/4

      2. 1/2

      3. 1/12

      4. 5/6

      5. none of the above

    5. Graph each equation. Find the area bounded by the region:

      1. 4 - ln(2)

      2. 4 - 4ln(2)

      3. 4

      4. 0

      5. none of the above
    Review
    • Prerequisites
      • Integration
    • Area Between Two Curves
    Lesson
    • Volume
      • The Disk Method


      • The Washer Method


          Exit Ticket
          • Posted on the board at the end of the block.
          Lesson Objective(s)
          • How can definite integrals be used to find the volume of a solid of revolution?

          In-Class Help Requests

          Standard(s)

          • APC.9

            • Apply formulas to find derivatives.

              • Includes:

                • derivatives of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions

                • derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions

                • derivatives of implicitly defined functions

                • higher order derivatives of algebraic, trigonometric, exponential, and logarithmic, functions

          Math          ematical Practice(s)
          • #1 - Make sense of problems and persevere in solving them
          • #2 - Reason abstractly and quantitatively
          • #5 - Use appropriate tools strategically
          • #6 - Attend to precision
          • #8 - Look for and express regularity in repeated reasoning
          Past Checkpoints
          Equations

          Area Bounded by Two Functions
              

          Disk Method
              
          Washer Method