Day 11 - Unit 1 Overview - 08.31.15

Update
  • Unit 1 Test this Thursday!

Bell Ringer
  1. Find the limit for the following:

    1. undefined

    2. 1

    3. 2

    4. 0

    5. none of the above

    1. 3

    2. 0

    3. none of the above

  2. Find the following limit:

    1. 0

    2. 1

    3. none of the above

  3. Find the x-values (if any) at which the function is not continuous. Which of the discontinuities are removable?

    1. no points of discontinuity.

    2. x = –10 (not removable), x = 3 (removable)

    3. x = –10 (removable), x = 3 (not removable)

    4. no points of continuity.

    5. x = –10 (not removable), x = 3 (not removable)

  4. Find the limit (if it exists).

    1. 1 / 14

    2. 0

    3. 1 / 98

    4. -1 / 14

    5. limits does not exist

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)
    • Infinite Limits (video)
    • Limits at Infinity (video)

Lesson
  • Book Review
    • Complete problems in the following sections
      • 1.2 - Finding Limits Graphically and Numerically
      • 1.3 - Evaluating Limits Analytically
      • 1.4 - Continuity and One-sided Limits
      • 1.5 - Infinite Limits

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

Homework
  • N/A


Lesson Objectives
  • Unit 1 Overview

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