Day 07 - Infinite Limits - 08.25.15

Update
  • N/A

Bell Ringer
  1. Find the following limit:

    1. 0

    2. 4

  2. Find the following limit:

    1. 0

    2. 4

  3. Find the following limit:

    1. 0

    2. 1

  4. Find the following limit:

    1. 0

    2. 1

  5. Write your favorite song and its artist. Use the "Other" text box.

Review
  • Math Overview (video)
    • Numbers
    • Relationships
    • Shapes
    • Change
  • Limits
    • Intro to Limits (video)
    • Nonexistent Limits (video)
      • How are limits found numerically and graphically? (checkpoints)
      • How are limits found algebraically? (checkpoints)
    • Continuity (videoand One-sided Limits (video)
      • How can discontinuity of a function be described?
      • How are one-sided limits related to regular limits? (checkpoints)

Lesson
  • Challenge 4
    • Create a function that has an asymptote at x = -3 and a hole at x = 7.

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

Homework
Lesson Objectives
  • How are infinite limits evaluated?

In-Class Help Requests



Standard(s)
  • APC.2
    • Define and apply the properties of limits of functions.
      • Limits will be evaluated graphically and algebraically.
        • Includes:
          • ​limits of a constant
          • ​limits of a sum, product, and quotient
          • ​one-sided limits
          • ​limits at infinity, infinite limits, and non-existent limits*
  • APC.3
    • Use limits to define continuity and determine where a function is continuous or discontinuous.
      • Includes:
        • ​continuity in terms of limits
        • continuity at a point and over a closed interval
        • ​application of the Intermediate Value Theorem and the Extreme Value Theorem
        • ​geometric understanding and interpretation of continuity and discontinuity