Decision 7: Extended Thinking Lesson:

Title:
Why do some limits fail to exist?

Time (in days):
-1

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Student Learning Map of Unit
Vocabulary Report

Culminating Activities:

1. Untitled Culminating Activity

Student Assessment(s):

1. Untitled Student Assessment

Acquisition Lesson(s):

1. How is the one-sided limit of a function determined?2. How do you calcuate the limit as "x approaches infinity" and what does it indicate?3. What are three conditions for continuity at a point?4. How are general limits of functions determined?5. Why do some limits fail to exist?6. How can the limit approach infinity when x is approaching a finite number?7. What is the meaning of the Intermediate Value Theorem for Continuous Functions?8. What are types of discontinuity?9. How is the equation of a tangent line to a curve written?

Extended Thinking Lesson(s):

1. How do you calcuate the limit as "x approaches infinity" and what does it indicate?2. Why do some limits fail to exist?3. How can the limit approach infinity when x is approaching a finite number?4. What is the meaning of the Intermediate Value Theorem for Continuous Functions?