AGENDA:
I) Bell Ringer
II) Venn Diagrams to evaluate probability
III) Math Studies Project Timeline
I) Bell Ringer
80 students were asked what type of television program they watched the previous night.
35 - watched sports (S)
50 - watched drama (D)
42 - watched news (N)
10 - watched all 3 programs
7 - watched sports and news only
12 - watched news and drama only
14 - watched sports and drama only
*Draw a Venn diagram of the above problem.
SOLUTION:
* To solve the problem it would be good to follow the letters:
a) 10 goes into center of all 3 circles as everyone watched it.
b) 7 goes between sport and news
c) 12 goes between news and drama
d) 14 goes between sports and drama
e) To find "e", we have to add all the numbers that are included in "sport circle" which is red color, and that includes ( a)10 + b)7 + d)14 + e)? = 35, as 35 students watched sports program.
10 + 7 + 14 + E = 35
31 + E = 35
E = 4
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*We do the same procedure with drama:
To find "F" we need to add: a)10 + c)12 + d)14 + f)? = 50
10 + 12 + 14 + F = 50
36 + F = 50
F = 14
------------------------------------------------
*And News:
To find " G" we need to add: a)10 + b)7 + c)12 + g)? = 42
10 + 7 + 12 + G = 42
29 + G = 42
G = 13
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*After completing those three subproblems we will obtain this:
However, this isn't the and of the problem, because we have to find h. To find it, we first have to add all the numbers, and they should add up to 80. a) 10 + b)7 + c)12 + d)14 + e)4 + f)14 + g)13 + h)? = 80
10 + 7 + 12 + 14 + 4 + 14 + 13 + H = 80
74 + H = 80
H = 6
*Here is the final solution:
Some Classwork:
1) The probability that the student is boy in P.E. = 37/70
2) The probability that boy GIVEN English = 10/18
3) The probability Math GIVEN boy = 12/42
4) The probability Girl GIVEN P.E. = 15/35
OBJECTIVE:
Students will be able to use Venn diagrams to solve probability problems.
HOMEWORK:
IB Math Studies Book Page 483,#4-7.
QUESTIONS:
1) In IB classes there are 52 students. 30
students love Math, 10 ART,and 15 TOK.
3 students like Art and Math
2 students like Math Art and TOK
1 student like Art and TOK
5 student like Math and TOK.
Find out how many students like Math alone, Art and TOK and how many students, if any, don't like any of the subject.
2) Which group are You in?
Hope You guys liked it. Sorry for some mistakes and the lay out.
ReplyDeleteJust Math is 20 students,
ReplyDeleteJust Art is 4 students,
Just TOK is 7 students, and
8 students don't like anything.
And i'm a person who just likes art and tok sorry ms. sullivan.
This comment has been removed by the author.
ReplyDeleteMath alone = 20/52 = 5/13
ReplyDeleteart alone = 4/52 = 1/13
Tok alone = 7/52
students that don't like any of the subjects = 10/52 = 5/26
I love Math and Art :)
by the way good job Kamil you did an awesome job with the diagrams..:)
hey kamil you did a nice job. :)
ReplyDeleteMath alone would be 20/53 or 0.384
Art alone is 4/52 or 0.0769
and finally tok alone would be 7/52 or 0.134
i like tok but im pretty bad at math lol
Nice job? hm, depends how You look on it. For example "and" instead of "end"( I don't think it would "fly" in Duvall's class) or missing some words in "2) The probability that boy GIVEN English = 10/18" instead of " The probability that the student is boy GIVEN English = 10/18" is no comment I guess. Still Thanks.
ReplyDeleteFancy charts Kamil, very well done,
ReplyDeleteJust Math: 20/52= 10/26 = 5/13
Just ART: 4/52 = 2/26 = 1/13
Just TOK: 7/52
Don't like any: 10/52 = 5/26
If I had to choose... I guess I am the 1 that likes Art and TOK
Nice charts!! : )
ReplyDeleteWell i think 20 out of 52 only like Math, 7 out of 52 only liked ToK, and 4 out of 52 only liked Art, And 10 didnt like any.
I like tok and art mostly. But i like math a little. lol
Great job Kamil.
ReplyDeleteMath only= 20/52
Art only= 4/52
TOK only= 7/52
Don't like any= 10/52
I like Math and Art :)
Answers:::
ReplyDeleteMath : 20/ 52
Art : 4 / 52
TOK: 7/52
Neither : 10/52
And I ONLY LOVE MATH :)
Good job kamil
1). math=20 students
ReplyDeleteart=4 students
tok=7 students
10 students dont like any of the classes
2). im one of the 10 students that dont any of the classes.
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