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A Detailed Lesson Plan In Mathematics 7 I.
Objectives At the end of 60 minutes lesson, 80% of students are able to: a. Define mean, median and mode b. Interpret data using mean, median and mode Values Infusion: cooperation and patience in finding the mean, median and mode
Subject Matter Topic: Measure of Central Tendency References: Grade-7 mathematics, internet Pp. 1-3, www.purplemath.com/modules/meanmode.htm Materials: Powerpoint, chalk, cartolina, cut papers, colored blocks, cups and colored sticks
Procedure Teacher’s Activity
Good morning class
Good morning sir
Let us pray first, may I ask (name of student) to lead the prayer?
(a student leads the prayer)
Before you take your seat, kindly pick up the pieces of paper under your chairs. chairs.
(students picks up the pieces of paper)
(Checking of attendance) (Name of student), please submit the list of students who are absent today.
(the student gives the list of absent students)
It’s good to know that only few are absent. Please submit your assignments in front.
(students submit their assignments)
Before we start our new lesson, what was our lesson yesterday?
Sir, our lesson yesterday was all about statistics
Very good, what again is statistics?
Sir, statistics deals with the collection, classification, analysis, and interpretation of numerical facts or data.
Correct; What about raw data?
Sir, raw data are data which are not yet sorted or arranged according to some criteria or some systematic consideration.
Very good. And what will we do to the raw data?
Sir, we arrange the raw data from lowest to highest.
Good, give them three claps. It’s good that you still remember our lesson
yesterday, are there any questions? Now let’s proceed to our new lesson. Class, what do you notice when buying shirts in terms of color?
Sir, I have noticed when buying shirts, we have different tastes in choosing the color of the shirt.
Ok, if you were to choose, what color would you prefer? Red, green, white or black?
(students answer) Sir I prefer color (color).
So if you were the seller. What will you do?
SirI will sell those that sell the most.
Oh I see, and class do you believe that we all have our own choices?
Oh well, I have here the lyrics of a song, I want you all to sing after I sing to you the melody ok? (Hey diddle, diddle the medians The middle You add, and divide for the mean The mode is the one That you see the most Central tendency begins)
(students repeat the song twice)
You nailed it class, you are all great singers. I will divide the class into four groups and answer the given questions to get the answer; additional points will be given for the first group to answer. I will give you three minutes to answer. 1. The first three letters is sometimes the name of a street. 2. The third, fourth and fifth letter is all about time from the past. 3. The fifth, sixth and seventh letter are your years when celebrating your birthday. First group to answer will be given additional points for our activity.
(students cooperate in finding the answer) AVE ERA AGE
Sir the answer is AVERAGE.
Correct. Discussion So what do you think is our topic for today?
Good a more specific answer class? Very good, give him/her three claps. I have here a picture; all you have to do is
Sir our topic for today is all about getting the average. Sir our topic for today is all about central tendency. The mean, median and mode.
determine what it is according to the song.
(shows picture) What do you notice in this picture? Good, as the song goes, what do you call the value in the middle? State the line.
Very good. May I ask five students to go in front? I will arrange them by height. (Name of student) is the middle person, so he/she is our?
Absolutely. Give him/her three claps. Class, what will we do in our gathered data?
Good, I have here three different colored blocks, the value of the red block is 10, for the green block is 20 and for the yellow block 30. They are shuffled, anyone who wants to arrange either in descending or ascending order and determine the median and explain why. Very good, give him/her three claps. That is how we get the median. Did you understand class? Great, take your seats. How about if we have an even amount of values? Does anyone know how to get the median? Absolutely, give him/her three claps.can you show to the class how? Given these six values. (1, 2, 3, 4, 5, 6) what are the middle values?
Sir, I see seven squirrels, and the middle squirrel is encircled.
Sir we call the value in the middle the median, as the song says, the medians the middle. (students go in front)
(students arranged by height) Sir, (name) is in the middle so he/she is our median. Sir the gathered data is arranged in descending or ascending order.
(a student arrange the blocks) Sir the green block is the median, because it is in the middle.
Sir if there are even amount of values, the two middle values are added and divided by two.
Sir the middle values are 3 and 4.
Correct; so what is our median?
Good. That was easy right? Are there questions so far?
Sir 3 plus 4 is equal to 7 divided by 2 and we get 3.5 as the answer. So the median is 3.5. Yes sir None sir
Using this blocks, I need a student to divide this blocks equally as fast as he/she can and discuss to the class how you did it. Very good, give him/her AlingDionisia clap.
(student arranges the blocks equally) Sir there are 20 blocks so I divided it by 4, so they got 5 in each column.
Given this set of numbers (13, 18, 13, 14, 13, 16, 14, 21, 13) find their sum. So what is the total?
Sir the sum of all the given values is 135
That’s right; now divide it by how many values are in the given data.
Sir there are nine values
Ok, so 135 divided by 9 is? Sir 135 divided by 9 is 15 Very good, give him/her three claps. What is it when we add and divide? Look back into the song.
Sir we add and divide for the mean.
Great. So 15 is our mean. Does anyone know the other term for mean?
Sir the other term for mean is average.
Absolutely, can somebody give me an example in real life to where we use this mean? Correct; class I have here 3 cups and sticks; I need a volunteer to count the sticks per cup and get the total number of sticks. Find the mean and place the sticks in each cup equally.
Well said. What have you noticed about the cups with sticks? Good, so that is how we get the mean or the average. Any questions regarding the computation for the mean?
Sir it is when we compute for our final grade to get the average. (A student will count the number of sticks inside the cups to get the mean.) Sir we have a total of 18 sticks in all three cups, we divide 18 by three and we get 6. The mean is 6. So there must be 6 sticks per cup. Sir I have noticed that the sticks are distributed equally.
Let’s proceed. I need another five volunteers to hold these colored sticks. Which color of stick do you see most?
(students hold the colored sticks)
Good, how many sticks are colored green?
Sir the color of the stick with the most number is green. Sir there are three green sticks.
Yes, so what do we call the value or data when we see it the most? Look back into the song and state the line.
Sir according to the song, the mode is the one that you see the most, so I see mostly green sticks so it is the mode.
With these blocks, do you notice something? Sir, I have noticed that there are more numbers of the yellow blocks than the red and green blocks. Yes, very good. What do you call it when you see it the most?
Sir I see yellow blocks mostly.
Very good, give him/her three claps. Sir, according to the song it is called the mode. So, how about these set of
data?(13,18,13,14,13,16,14,21,13). Great. Give him/her alingdionisia clap. If we have a given data of, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, what is/are our mode(s)? Why?
Sir the value I see the most is 13. 13 is the mode.
Sir, our modes are 2 and 4, because they are repeated the most equally.
Very good, give him/her a yes clap. What if we have these data? (13, 18, 14, 16, 21). Do you see a number repeated? None sir. Is there a mode? Absolutely, give him/her a powerful clap.
Sir since there are no values seen the most, there is no mode.
Any questions so far? None sir Application Try this in a sheet of paper per group. Answer in three minutes and explain. 1. Given the data
(students answer the activity)
8,9,10,10,10,11,11,11,12,13 Find the mean, median and mode. I need three representatives per group to write their answers on the board and explain how they arrive on that answer. How did you get the mean?
Very good, how about our median?
Student 1: sir the mean is 10.5. I added all the values and divided it from how many values are given. That is 105 divided by 10 so the answer is 10.5 Student 2: sir the median is also 10.5 because there are even numbers of values, there are 2 medians, 10 and 11. So I added them and divide it by 2, which is 10+11=21÷2 = 10.5. Student 3: sir the modes are 10 and 11, because they are repeated thrice.
Great. And lastly the mode? 2. Given the data set: 3, 12, 15, 3, 15, 8, 20, 19, 3, 15, 12, 19, 9
Student 1: sir the mean is 11.8. I added all the values and divided it from how many values are given. That is 153 divided by 13 so the answer is 11.8 Student 2: sir the median is 15, I arranged the values in ascending order to get the middle term. Student 3: sir the mode is 3, because it is
repeated three times than the other values. 3. The following data represent the number of pop-up advertisements received by 10 families during the past month. Find the mean, median and mode.
Student 1: sir the mean is 31.9, sir I added all the values which got the sum of 351 and divided 351 from t he number of values which is 11, so I got the answer of 31.9.
43, 37, 35, 30, 41, 23, 33, 31, 16, 21, 41 Student 2: sir the median is 33. I arranged it in ascending order. Student 3: sir the mode is 41. Because 41 is repeated twice. 4. The weekly salaries of six employees at McDonalds are $140, $220, $90, $180, $140, $200. For these six salaries, find: (a) the mean (b) the median (c) the mode
Student 1: sir the mean is 161.67. I added all values which has the sum of 970 and divided it with how many values are given which is 6, so I got the answer of 161.67. Student 2: sir the median is 160. Since there are 2 medians which are 140 and 180, sir I added them and divided it by 2 which resulted to 160. Student 3: sir the mode is 140, because it is repeated twice.
5. In January of 2010, your family moved to a tropical climate. For the year that followed, you recorded the number of rainy days that occurred each month. Your data contained 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8.
Student 1: sir the mean is 11.75. I added all the values that resulted to 141 and divided it by 12 which is the number of values and got 11.75 as the result. Student 2: sir I arranged it in ascending order and got 12 as the median. Student 3: sir the modes are 11 and 14 because they are repeated 3 times.
Outstanding, give yourselves a success clap. Generalization Let’s check if you really understand. How do we get the mean?
How do we get the median?
Sir the median is the middle value in the given data arranged from lowest to highest. Sir we get the mean by adding all the values divided by the number of the given values.
And lastly the mode?
Sir the mode is the ones that we see the most or repeated frequently.
Well said class, give yourselves a military clap and shout hurray!. Bring out ½ crosswise and do the following. IV.
Evaluation (1/2 crosswise) A student has gotten the following grades on his tests: 87,85,78,87 and 95. find the a.
b. Median c. V.
Assignment (1/2 crosswise) The set of data shows a score of 25 students in their periodical test. Find the Following: 34 21 19 21 19
35 20 17 20 17
40 19 18 18 29
40 34 15 17 45
48 45 16 10 50
a. Mean b. Median c. Mode
Prepared by: Sherwin P. Cayabyab BSED-IV Mathematics