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Section 1.1 - Rates of Change and Limits

Picture
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
  1. What are the average rate of change ratios? 
  2. What is instantaneous rate of change?
Definition of Limit
  1. What is the role of a limit?
  2. What do limits never depend on?
  3. What is the limit of sin(x)/x as x approaches 0?
Properties of Limits
  1. What are the properties of limits? (Thm 1)
  2. How do you use limits with Polynomial and Rational Functions? (Thm 2)
One-Sided and Two-Sided Limits
  1. How are one-sided and two-sided limits related? (Thm 3)
  2. What if the function isn't defined on one side of x = c?
Squeeze Theorem - Optional
  1. 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.
“Any fool can know. The point is to understand.” 
― Albert Einstein
​“Learning never exhausts the mind.” 
― Leonardo da Vinci
​"You never fail until you stop trying.” 
― Albert Einstein
RMHS - MATHEMATICS - MS. STEVENSON - ROOM 603
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Palm Springs Unified
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