LESSON PLAN for Mathematics 8 Prepared by: John Michael S. Cariao ! "ia Pastor
#.
Ob$ecti%es
At the end end of the lesson, students students are expected expected to: A. Define and and explain explain the meaning meaning of probability probability B. Diffe Differen rentia tiate te the the diffe differen rence ce betw between een Depen Dependen dentt and and Indep Independ endent ent Variabl riables es;; utually !xclusi"e and #on$utually !xclusi"e !"ents. %. Apply Apply ulti ultipl plica icati" ti"e e &ules &ules of 'roba 'robabi bility lity,, Additi dditi"e "e &ules &ules of 'rob 'robabi abilit lity y and and %omplimentary of !"ents in different problems and situations. D. Appreciate Appreciate the usage of probability probability in different different concepts concepts and applications. applications.
##. ##. S&b$ S&b$ec ectt Mat Matte ter r 'opic: 'robability (Additive Rule of Probability, Multiplicative Multiplicative Rule of Probability and Complimentary Events) (eferences: !lementary (tatistics by %armela ). *amora$&eyes and +orelei B. +adao$ (aren -- Materials: 'owerpoint 'resentation Different 'ictures (ets of the following: Dec/ of %ards, 0ar of arbles, one$peso coin, pairs of dice, group$tas/ cards, Answer sheet and ar/er 0ar of 1uestions Answer sheets Big Boo/ of 'robability ar/ers • • •
• • • •
A. )aily )aily (o&ti (o&tine ne *. Prayer
(tart the day with a gospel from the bible, a small reflection from the gospel and a short prayer. +. Class Classro room om Man Mana, a,em emen entt
Instruct the students to pic/$up the pieces of trash under their tables and chairs and arrange their sitting arrangements.
-. "reetin,s
2reet them li"ely and as/ them how3s wee/end. . Chec/in, of Attendance
+et the class secretary to report who3s absent for today. 0. Primin, *. (ecall
As/ a student about the topics that was discussed last meeting. +. Moti%ation "ame: Secret Passa,es a. 2roup the students into teams. 2roup A will be the Blue team and 2roup B will be the &ed 4eam b. In 5 minute let the teams to roam around the classroom to find 55 pictures assigned to them. c. After finding it, let them decode the pictures in minutes. d. )nce they finish it, they should tape it on the board and recite the word they ha"e decoded. e. 4hey should explain it also on how they decode the pictures. f. 4he first group that will finish the tas/ correctly will recei"e a pri6e.
C. Acti%ity *. )n the same team, gi"e them a 'robability 7it containing a Dec/ of %ards, a 0ar of arbles, one$peso coin, pairs of dice, a group$tas/ cards, an Answer sheet and a ar/er +. 4hey should answer all the items on the group card in 8 minutes -. After 8 minutes, their answers would be posted on the board. . After this, proceed to Analysis ). Analysis *. As/ the students what is connection of the gi"en items to the 9uestions from the group tas/ +. As/ the students from what they ha"e noticed on the gi"en probabilities. -. As/ them also if the formula they3"e use in the first 9uestion is the same as the succeeding 9uestions. . 'roceed to Abstraction
E. Abstraction *. Define what 'robability is. +. (how the two types of Addition &ule of 'robability which is utually !xclusi"e !"ents and #on utually !xclusi"e !"ents then use the 9uestion numbers & and B from the acti"ity lately. -. 2i"e other examples. . (how the two types of ultiplication &ule of 'robability which is Dependent !"ents and Independent !"ents then use the 9uestion number & and <B from the acti"ity lately. 1. 2i"e other examples. 2. Discuss the %omplement of an !"ent then show its connection to numbers 8& and 8B from the acti"ity lately. 3. 2i"e other examples.
"eneraliation:
(ummari6e the topics by showing the table below: Symbols &sed
'robability
(A priori probability)
Addition &ule of 'robability ultiplication &ule of 'robability
=, >?4, ∪
0≤P≤1
$ union read
as @or ∩
$ intersection
read as @and
X T
=
4orm&la5s6 numberof waysof anevent mayoccur totalnumber of elementary outcomes
M&t&al ly E7cl&si %e E%ent
'A
∪
B 'A C
'B 'A
∪
B 'A C
'B 'A and B ∩
B 'A
'B
4. Application
Application of 'robability in &eal +ife (ituation: (ports 2ambling 2rades in ath +o"elife Date
'A
#ndependent E%ents
%ompliment of AE $ prime read 'A3 5$ 'A an !"ent as compliment of the e"ent A
5. . . <. 8.
Non M&t&all y E7cl&si %e E %ents
)ependent E%ents
'A 'BIA
∩
B 'A
". Assessment "ame: &ace against time )irections:
5. )n the same team, they need to assign a team leader and a secretary . 4he 4eam +eader3s responsibility is to pic/ a 9uestion from the 0ar of 1uestions. . 4he secretary3s responsibility is to write the 9uestion on the 1uestionnaire pro"ided. <. If they answer it correctly, plus 5 point for their team. If they answer it wrong, plus points for the opposing team. 8. In 8 minutes, the two teams will do this simultaneously. F. 4he team who will get the most number of points shall win and get the pri6e.
9. Assi,nment
%hoose among the following probabilities and draw a Venn diagram corresponding to your chosen probability. •
'A
∪
B
•
'A
∪
B
•
'A
•
'A
•
'A3
∪
%
∪
%
∩ B ∩
B
∩ B3
∩ %3