Day 76 - Arc Length and Surface Area - 12.10.14

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

    1. Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis. on the interval [1, 6]

      1. 18

      2. 17.5

      3. 18π

      4. 35π/2

      5. none of the above

    2. Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis bounded by .

      1. 6/55

      2. 0.10909...

      3. 6π/55

      4. π/5

      5. none of the above
    Review
    • Prerequisites
      • Integration
    • Area Between Two Curves
    • Volume
      • Disk Method
      • Washer Method
    Lesson
    • Arc Length
    • Surface Area
            Exit Ticket
            • Posted on the board at the end of the block.
            Lesson Objective(s)
            • How can the arc length of a smooth curve and area of a surface revolution be calculated?

            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