Registrer deg som lærer
M3:Values
Storyboard Tekst
- Continuity of a Function at a Number
-
- The professor introduce himself then he will greet his audience first then he will introduce or state the lesson that is going to be discussed in the video presentation...
- *Greetings and introduction of the topic to be tackled*
- Continuous or Discontinuous? Why?
-
- The professor must give examples, questions, and problems related to the discussion so that the viewers can recall and improve their understanding. It may be in the way of identifying the type of continuity, identifying the type of discontinuity or even by giving a function then they will identify if its continuous or discontinuous by using the ways to identify what type of continuity it is.
- *Giving examples, questions, and problems that can enhance the learnings of the viewers*
- The topic must be reflected and compared on the real-life or to the real world. The concepts must be compared to real events such as, "Continuity is like the continuous flow of life, it's neverending and there are parts that it's discontinuous but with the correct solution or value of x, it will become continuous again". Reflections like this are very important because it will not just apply the concepts in real-life, but the viewers will also know what are its importance and why it's worth studying/learning.
- *Relating and reflecting the topic to our daily lives (real-life situations, importance, etc.)*
-
- You should discuss more about what a continuity is. Explain deeper concepts so that viewers can know more knowledge. While explaining, relate the concepts to real life situations so that the viewers will fully understand it without you using any mathematical jargons that can confuse them and affect their learning. Remember to use easy-to-understand terms and analogies to increase the understanding of viewers.
- *Discussing more concepts/ideas regarding continuity of a function at a number*
- *Introducing and differentiating the two types of continuity from one another*
- Thank you for watching!
-
- Here, the professor should introduce/discuss the two types of continuity and differentiate them from one another for the viewers to understand their differences.
- Continuous if:
- Here, you should explain how a function becomes continuous or discontinuous (including the types of discontinuity):
- Discontinuous if:
- By following the conditionssuch as:
- 1. f(c) is defined2. Limit exists3. Limit = f(c)
- 1. Limit doesn't exist2. Limit exist and either; a. f(c) doesn't exist b. f(c) ≠ limit
- *More discussion/explaining*
- Continuous if:
- Discontinuous if:
- By observing the graph:
- No holes or gaps
- There is a hole along the graph (Removable Discontinuity) or gaps/breaks (Jump Discontinuity)Asymptotic (Infinite Discontinuity/Essential Discontinuity)
-
- Remember! Discuss while avoiding mathematical jargons!
- By solving for the value of function (f(c)) and limit when the value of x (is it continuous at x=n) is given:
- Determine if the following functions is continuous at:(must satisfy ALL 3 conditions given (first column) in order for a function to be continuous) 1. p(x) = 3x^2 - x + 5; at x = 1 2. f(x) = 2/x + 1; at x = 0 and x = -1
Over 40 millioner storyboards laget
Ingen Nedlastinger, Ingen Kredittkort og Ingen Pålogging Nødvendig for å Prøve!
