## Section 1.4 - Rates of Change, Tangent Lines, and Sensitivity

**Essential Question(s):**

How are rates of change and tangent lines related?

**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 Rates of Change - REVIEW__

- What is the average rate of change?

__Tangent to a Curve__

- Why find tangents to curves? (sidebar pg 88)

__Slope of a Curve__

- What is the definition of the slope of a curve at a point?
- What 4 items are all the same?

__Normal to a Curve__

- What is the normal line?

**STEP 3: Reading**

__If time permits, reread__the lesson and take any extra notes as needed.