Day 05 - Continuity and One-sided Limits - 01.13.15

Update

Bell Ringer
  • N/A

Review
  • Limits
    • Finding Limits
      • Graphically
      • Numerically
      • Algebraically

Lesson

Exit Ticket
  • Posted on the board at the end of the block.
Lesson Objectives
  • How is continuity of a function described?
  • How are one-sided limits related to regular limits?

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

Past Checkpoints