Section 1.1 - Rates of Change and Limits
Essential Question(s):
What are limits and how do you determine if they exist?
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).
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.
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?
- 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?
- What are the properties of limits? (Thm 1)
- How do you use limits with Polynomial and Rational Functions? (Thm 2)
- How are one-sided and two-sided limits related? (Thm 3)
- What if the function isn't defined on one side of x = c?
- 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.
If time permits, reread the page(s) of this lesson and take any extra notes as needed.