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Mathematics

Multiple Ways to Teach a Concept

Multiple Ways to Teach a Concept

Concept #1 Example Problem
Empirical Probability

 

 In a classroom, 15 out of 40 students asked their teacher for a red ruler. What is the empirical probability of a student asking for a blue ruler?
Video link found Online Video Link you created
https://www.youtube.com/watch?v=VZpNkZlHblI https://youtu.be/Rv92sk9Ow-8
Solving the problem using the Online video method Solving the problem using your video method
Empirical Probability P (A) = the number of times an event occurs divided by the number of times an experiment is performed.

=

P (A) =  = 0.625

Therefore, the empirical probability of asking for a blue ruler is 0.625.

 Empirical Probability P(E) = event frequency over the total number of trials.

P(E) =, where n is equivalent to 100%.

Thus, n = 40

If 40 = 100%

25 = ?

Cross-multiply;

= 62.5% = 0.625

 

Therefore, the empirical probability of asking for a blue ruler is 0.625.

 

Concept #2 Example Problem
Mean

 

 The marks of seven students in a class are as follows;

80%, 76%, 72%, 80%, 72%, 76%, 80%

Find the mean marks of the students.
Video link found Online Video Link you created
https://www.youtube.com/watch?v=B1HEzNTGeZ4&t=238s https://youtu.be/IYwiOXhSDSM
Solving the problem using the Online video method Solving the problem using your video method
The mean of a data set = the addition of all the values in the data set ÷ the number of the numbers added up.

Therefore, mean =

=

76.75%

Therefore, the mean marks of the students = 76.75%

 

 Mean =, where ∑fx = the sum of product values and their frequencies, and ∑f is the sum of the frequencies.

 

Marks 80% 76% 72%
Frequency 3 2 2

 

∑fx = (80 × 3) + (76 × 2) + (72 × 2)

= 240 + 152 + 144

= 536

∑f = 3+2+2 = 7

Thus, mean =  =   = 76.75%

Therefore, the mean marks = 76.75%

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Question 

Assessment Description
Creating videos allows teachers to save hours of repetitive teaching. Students also thrive if they can view a concept multiple times. As a teacher, you must create short videos for your students to help them through the class.

Multiple Ways to Teach a Concept,

Multiple Ways to Teach a Concept,

Directions:

Use the tables below to do the following:

  • Select two concepts covered in Topics 5 and 6 of the course. Then, select one example problem for each idea you chose.
  • Search the internet for a video teaching each of your selected concepts.
  • Create videos that teach the concepts in a different way than the videos you found on the internet. (You must upload your video to a video-sharing site with a link you can paste below. Your video should not be “searchable” within the video-sharing site. If you upload your video to YouTube, select the “unlisted” option so it is not searchable. Ensure others can access and view your linked video before submitting it to the LMS.)
  • Solve your selected example problem twice, using the method employed in the video you found online and the technique employed in the video you created. Please show all the work. (Hint: If you solve the problem on paper, take a picture and copy and paste it to the Word document. You do not have to type to solve the answer.)
Concept #1 Example Problem
The video link is found Online. Video Link you created
Solving the problem using the Online video method Solving the problem using your video method
Concept #2 Example Problem
The video link is found Online. Video Link you created
Solving the problem using the Online video method Solving the problem using your video method