Day 74 - Area of a Region - 05.05.15

Update(s)
  • New Unit = New Seats!
  • 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

Questions

Bell Ringer
  • Posted on the board!

Review
  • Prerequisites

Lesson

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

Lesson Objective(s)
  • How can the area of a region be calculated using definite integrals?
Skills
      1. Sketch areas of regions between given equations.
      2. Calculate area of regions between equations using calculus.

                                                      In-Class Help Requests



                                                      Standard(s)
                                                      • 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.