## Section 1.1 - Rates of Change and Limits

**Essential Question(s):**

What are limits and how do you determine if they exist?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your cornell notes.

__Average and Instantaneous Speed - Optional__

- What are the average rate of change ratios?
- What is instantaneous rate of change?

__Definition of Limit__

- What is the role of a limit?
- What do limits never depend on?
- What is the limit of sin(x)/x as x approaches 0?

__Properties of Limits__

- What are the properties of limits? (Thm 1)
- How do you use limits with Polynomial and Rational Functions? (Thm 2)

__One-Sided and Two-Sided Limits__

- How are one-sided and two-sided limits related? (Thm 3)
- What if the function isn't defined on one side of x = c?

__Squeeze Theorem - Optional__

- What is the Squeeze Theorem and its purpose? (Thm 4)

**STEP 3: Reading**

If time permits,

____

__reread__the page(s) of this lesson and take any extra notes as needed.