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 Section 6.1 - Slope Fields and Euler's Method

Picture
Essential Question(s): 

What do slope fields illustrate?
What is the difference between a general solution and a particular solution?


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 
Answer the follow questions. They address examples, vocabulary, rules, theorems, corollaries, procedures, and/or postulates. Following a Cornell notes format, the questions should be written in the left-hand column and with the answers to the right of the question. Make sure to write enough to answer the question.
​
Differential Equations
  1. Where do differential equations stem from?  
  2. What is a differential equation and its order?
  3. What are the different types of solutions for a differential equation?
  4. What is different between solutions for a continuous or discontinuous curve?
  5. How can the FTC help with initial value problem?
  6. Why does the graph of a general solution consist of parallel curves or lines?

Slope Fields
  1. ​What is a slope field? (

Euler's Method
  1. ​What does Euler's Method do?
  2. What is Euler's Method?
  3. A note about movies and math. (sidebar)
  4. How would we know if the approximation is an over- or under-estimate?
  5. How can Euler's Method do a better job of approximating a curve? 
​​
STEP 3: Reading
If time permits, then reread the lesson and take any extra notes as needed.
What is a differential equation?
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RMHS - MATHEMATICS - MS. STEVENSON - ROOM 603
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