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Detailed Lesson Plan in Mathematics (Grade 8)
I.
Objectives At the end end of the 60 minute session, session, the student student will will be able to: favorableoutcome ¿ a. rememb remember er the formul formula a ; totaloutcome
b. solve solve for the the proba probabili bility ty of an event; event; c. interpr interpret et the the proba probabili bility ty of an even event. t. II.
Subject Matter Topic: Basic Probability Probabil ity ub!topic: Probability of an "vent #eference: $athematics %earner&s $odule pp. '6(!'6) $aterials: PowerPoint Presentation and *ice +alues: +alues: Accuracy and cooperation
III.
Procedure %earnin Activities
Teacher&s Activity A. *aily #outine #outine -Please stand up and let us pray. -/ood mornin class -Before you ta1e your seat, 1indly pic1 up the pieces of paper under your chair.
tudent&s Activity 24ne student will lead the prayer.3 -/ood mornin ir 2tudent will pic1 up pieces of paper under their chair.3
2/roups will be called to report if 2%eader of each roup will report if there&s any absent.3 there&s any absent.3 B. #evie #eview w and and $otiva $otivatio tion n -Before we proceed to the lesson proper here are the thins that you need to recall in order for you to learn our lesson for today. implify the followin: 1¿
2¿
5
1¿
1 2
10
0 10
53 0
3¿1
3¿
10 10
-ow you are e7uipped with the prior 1nowlede you need to learn, 8 will now show you a video that could help you understand the concept of our topic for today 2The video will be shown to the students3 9. Presentation
2tudents will watch the video3
-?es ir -the @our pinners
-*id you enoy the video -
-=ow do they decide about the road that they will ta1e
-
-+ery ood. The path that they will ta1e depends upon the luc1 and chances not by their will. The word that 8 want to emphasi>e is -chance. =ow can we compute for the chance of an event to happen o
-They are a wal1in spinner so they let their arrow spin and decide of which path they will ta1e. 8f the arrow points at number they will ta1e #oad but if it is or 5 they will ta1e the other road -The first spinner has a bier space for number so it has a bier chance of ta1in route . The second one has a smaller space for number so the chance of ta1in the #oute is smaller. The third one doesn&t have a number in the spinner so it has no chance of travelin #oute . And the last one has only one number to the spinner which is so it will surely travel to route . 8n short each of them has different chance in travellin route . Their differences affect their choices they ma1e.
today we are oin to eCplore the mathematics behind this. -Probability is a chance of an event to happen. -9lass, are you familiar with color ame -9an someone please eCplain the mechanics of the ame
-%et&s try it. But we are oin to add some twist. /roup will oin to bet in one color only, /roup 5 will have 5 colors, /roup will have , /roup D is have D, /roup ' will have ' and /roup 6 you have 6 colors.
-?es ir
-?ou are oin to place your bet in the color that you thin1 would win then they will roll the dice if your color is at the top you win but if the other color is oin to be on top it means you lose
2they will pic1 a color and the dice will roll3
-ir ,it is unfair because we do have different level of chances of winnin
-what can you say about our ame -ow let us compute for probability that your roup will win. The formula for ettin probability is ¿
favorableoutcome totaloutcome
-
-that was nice answer, =ow about total outcome
2tudent will read the definition3. -ir it is the result that you wanted to happen for eCample in our roup ettin a yellow so the number is since there is only one yellow in the dice.
2tudent will read the definition3 -from the word total it means all possible events that miht happen 8 thin1 it is 6 sir because there are all siC colors that miht win in that dice
-That is riht. ow that you have an idea what is favorable outcome, total outcome and the formula is already iven. 9an now someone solve for probability of your roup to win in color ame -=ow about on the other roup can you please solve for the probability that you will win in the color ame
-ow observe your answers.
-E6. The favorable outcome in the formula is the numerator while the total outcome is the denominator so 8 simply write it in fraction form.
/roup 5: E /roup : E5 /roup D: 5E /roup ': 'E6 /roup 6: F0E6 F0 -sir, because there is no color ray in the dice so the no of favorable outcome is 0
- and 0
-?es sir
-they ot , ettin a probability of means the event will surely happen
-ettin 0 means the event is impossible to happen
FE6GE6GE6GE6GE6GE6 F6E6 F
-That is riht. That was the other rule in probability. But what if 8 added the probability of ettin each color 2it means 6 probabilities3.
-8s there any 7uestion -we can now proceed to our activity *. Activity 2/roup Activity3 8f your roup will be performin a draw lots what is the probability of pic1in: a. the name of the leader; b. a of a irl; c. a student with the name that starts with letter . ". /enerali>ation -
-
2"ach roup will have different answers dependin on the number and composition of their roup.3
-Probability is a chance of an event to happen -we will use the formula favorableoutcome ¿ totaloutcome -0!
-meanin the event will surely happen -the event is impossible to happen
-what does it mean of ettin in probability -=ow about ettin 0
IV.
valuation olve the probability of the problem. A ba has 5 red marble, ' reen marble, and blue marble. ?ou will pic1 marble.
V.
!ssi"nment Answer Activity ( on pae 'H0 in your $athematics %earner&s $odule.