l36 techniques-evallimits1preview

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Aim: How do we evaluate the Limits of different types of functions? What are some of the important techniques to evaluate Limits?CCSS A-REI 11: Reasoning w/ Eqns (Limits)

DO NOW: Determine the following:

Use the Properties and Operations involving limits for this problem.

Homework 70: Finish Worksheet probs on Properties of LIMITS. In addition, pg 884/ 13-16.

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Do Now Problem(s) 5-7 min

Motivation 2-3 min

Development 10 min

Group Work Activities 15-18 min

Wrap-up, Summary 5 min

(Exit Slips)

Lesson Agenda:

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Numerous techniques for evaluating the Limit of a function exist. We now will examine some of the most useful techniques

4 Techniques (discussed in your textbook)• Direct Substitution• Cancellation (AKA Factor and Cancel)• Rationalizing • Using Technology

We have already discussed Direct Substitution and now will discuss Cancellation.

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What is Cancellation? When can cancellation be used?

Limits of a function sometimes produce a 0/0 form.

For example

https://www.desmos.com/calculator/y0v0fqv5wa

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Limits: PPT Presentations,

Simulations (Visualization)

KEY-PRECALCULUS-DOCS 12-1IntroLimits.docx

https://www.desmos.com/calculator/qxwfuihzzz

_______limits.1.4.ppt

_____Calculus1.2limits_jk.ppt

_____1.2 calculus powerpoint.ppt

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Group Work: Students are to get into your assigned groups and discuss the worksheet problems 1-4 and 9-12. After a predetermined time, selected group members will report back to the class.

Summary

Exit Slips

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