Day 76 - Volume/Arc Length - 05.07.15

  • Unit 6 - Applications of Integration
    • Area of a Region
    • Volume of a Region: Disk Method
    • Arc Length and Surface Area of a Region
  • Unit 6 Test
    • next Tuesday, May 12th
  • Summative 3 Exam
    • covers Units 5 and 6
    • next Friday, May 15th
  • Seniors Final Exam (optional)
    • Monday, May 18th
    • 8-12am
    • Gym


Bell Ringer
  • Posted on the board!

  • Prerequisites
  • Area of a Region
    • How can the area of a region be calculated using definite integrals?
      • Sketch areas of regions between given equations.
      • Calculate area of regions between equations using calculus.
    • Activity
    • Checkpoints
    • Extra Practice


      Exit Ticket
      • Posted on the board at the end of the block!

      Lesson Objective(s)
      • How can the volume of a solid of revolution be found?
          1. Find volume using disk method.
          2. Find volume using washer method.

                                                          In-Class Help Requests

                                                          • APC.15​
                                                            • The student will use integration techniques and appropriate integrals to model physical, biological, and economic situations. The emphasis will be on using the integral of a rate of change to give accumulated change or on using the method of setting up an approximating Riemann sum and representing its limit as a definite integral. Specific applications will include
                                                              • a)​ the area of a region;
                                                              • b) ​the volume of a solid with known cross-section;
                                                              • c)​ the average value of a function; and
                                                              • d)​ the distance traveled by a particle along a line.