Mr. Marsigit gave us some tasks; make a reflection from his videos he gave us. Some of the videos are song. The songs tell us the material of mathematics. If we sing the songs for students, they will understand the material from the song. These are the songs Mr. Marsigit gave us.
1. Mean, Median, and Mode
This song tells us how to find mean, median, and mode of data. The lyric is shown bellow.
Mean, median, and mod
How do you find mean?
Add up the numbers in the data sheet
Divide the total by the number of items
The answer is mean or average
Mean, median, and mode
How do you find median?
Arrange the numbers in order from the lowest to the highest value
The middle numbers is the median for an odd number of items
The average of two middle numbers is the median for an even number of items
Mean, median, and mode
Mean, median, and mode
How do you find mode?
Just find the number that repeats most often
And the number is the mode
If you find no number that repeats most often
Then there is no mode
Mean, median, and mode
Mean, median, and mode
Mean, median, and mode
2. The Math Song
This song comes from Bruno Mars's song: The Lazy Song. We only change the lyric into The Math Song. I think this song gives motivation to students so they interested to math and change their mindset about mathematics.
The lyric is show bellow.
Today I don’t feel like doing anything
I just wanna focus on math
Domain and range and rate of change
It all makes me go insane
Today I don't feel like doing anything
Now let's sketch graphs
Try to figure out how to represent relations
Ordered pairs and tables are the destination
Learn about this function notation
I'll be graphing linear function
And interpreting relations
Did you know that y=mx+b?
So in my math class, I'll get good grades
Oh yes, I know, I know
I said it 'cause I know
Today I don’t feel like doing anything
I just wanna focus on math
Domain and range and rate of change
It all makes me go insane
Today I don't feel like doing anything
Now let's sketch graphs
Tomorrow I wake up and do some more graphing
Gonna ace my test and stop all that slacking
And I'm gonna out, "I did great!"
I'm gonna walk around and show all my friends
I bet my old man will be so proud of me
Don't worry pops, I'll keep doing great
Oh yes, I aced it, I aced it
I aced it 'cause I can
Today I don’t feel like doing anything
I just wanna focus on math
Domain and range and rate of change
It all makes me go insane
Today I don't feel like doing anything
Now let's sketch graphs
Oh I know all the function
And I know what a function is
One element of the domain goes with the range
There are different types of variable
The dependent and independent
The relationship between two sets of things
Today I don’t feel like doing anything
I just wanna focus on math
Domain and range and rate of change
It all makes me go insane
Today I don't feel like doing anything
Now let's sketch graphs
3. That's Mathematics!
This song is written by Tom Lehrer. At first I like the melody from piano. The intro is catchy especially for kids. The lyric is shown bellow.
Counting sheep when you're trying to sleep
Being fair when there's something to share
Being neat when you're folding a sheet
That's mathematics!
When a ball bounces off a wall
When you cook from a recipe book
When you know how much money you owe
That's mathematics!
How much gold can you hold in elephant's ear?
When it's noon on the moon then what time is it here?
If you could count a year, would you get to infinity?
Or somewhere vicinity?
When you choose how much postage you use?
When you know, what's chance it will snow?
When you bet and you end up in debt
Oh try as you may, you just can't get away from mathematics!
Andrew Wyles, Gently Smile, does his thing and viola!
QED we agree and we all shout "Hurrah!"
As he confirms what Fermat, Jotted down in that margin, which could've used some enlarging
Tap your feet, keep in time to a beat
Of a song, while you're singing along
Harmonies, with the rest of the guys
Yes, try as you may, you just can't get away from mathematics!
4. What Do You Know About Math?
This song is a rap song. It's quite catchy at first. We can feel the beat and the bass just like other rap song. The lyric is shown bellow.
What you know about math?
What you know about math?
What you know about math?
What you know about math?
What you know about math?
Hey, don’t you know I represent Math League
When I add Shorty subtract
freshmen backpack where I’m holding all my work at
freshmen backpack where I’m holding all my work at
What you know about math?
What you know about math?
What you know about math?
What you know about math?
What you know about math?
I know all about math
Answers 44
it’s real easy cuz of sig figs
you got 45 you rounded high
your answers too big
it’s real easy cuz of sig figs
you got 45 you rounded high
your answers too big
What you know about math?
What you know about math?
What you know about math?
What you know about math?
What you know about math?
I know all about math
TI-84
Solar Edition you know I’m shining dawg
Extra memory, I look back to do my natural log
You know we multiply
while memorizing pi
take limits to the sky
be sure to simplify
graphing utility
that’s trigonometry
One hundred I’m math b
don't you cheat off me
distance is rate times time
the sine graph ain't a line
exponential decline
but your score can't beat mine
TI-84
Solar Edition you know I’m shining dawg
Extra memory, I look back to do my natural log
You know we multiply
while memorizing pi
take limits to the sky
be sure to simplify
graphing utility
that’s trigonometry
One hundred I’m math b
don't you cheat off me
distance is rate times time
the sine graph ain't a line
exponential decline
but your score can't beat mine
We’re memorizing grades
for our mathly states
against the mathly greats
not getting many dates
I got to find a mate
but girls just playa hate
and always make me wait (can’t even integrate)
Don't you know I represent Math League
for our mathly states
against the mathly greats
not getting many dates
I got to find a mate
but girls just playa hate
and always make me wait (can’t even integrate)
Don't you know I represent Math League
When I add Shorty subtract
freshmen backpack where I’m holding all my work at
freshmen backpack where I’m holding all my work at
After saw the math music video, we watched the mathematics material from video. Here're some video that we watched yesterday.
1. Easy System to Solve Word Problem
This video is taken from www.mastermiddleschoolmath.com. Actually I haven't been checking the web site but from the title we can guess what the material is.
Maybe this is not only student's problem, but also our problem, for students in college. Sometimes we get confused when we find a word problem. But like we know, life is a word problem. We face it daily, and we have to solve those problems.
For the word problem on paper, we can use acronym BUCK and SOS to solve the problem. What is BUCK? If you know, buck is money in West. But for mathematics BUCK means
B: Box the question
U: Underline the information we needed
C: Circle the vocabulary we needed
K: Knock out the information we don't needed
And we have acronym SOS. It means
S: Simplify
O: Organize
S: Solve
So after we do BUCK, we do SOS. Now, let's go to the example. I will give you different question from the video. The question is shown bellow.
Hilda and Aisha go to market to buy their needs. Then Indi joins them shopping. Hilda buys 10 books and 4 pencils. She pays Rp38, 000.00. Aisha buys 6 books and 2 pencils. She pays Rp22, 000.00. How much money Indi needs to buy 5 books and a pencil?
We use BUCK to solve this problem.
First, box the question. The question is "How much money Indi needs to buy 5 books and a pencil?"
Second, underline the information we needed. The information is
a) Hilda buys 10 books and 4 pencils, and she pays Rp38, 000.00
b) Aisha buys 6 books and 2 pencils, and she pays Rp22, 000.00
Third, circle the vocabulary. We get vocabularies: book and pencil
Last, knock out the information we don’t needed. So we dump the line "Hilda and Aisha go to market to buy their needs" and "Then Indi joins them shopping".
Next we do SOS step.
First, simplify the information we get. We assume book as x and pencil as y.
Then, organize the information we get. After assuming the vocabulary, we need to organize the information.
Hilda's thing: 10x+4y=38, 000
Aisha's thing: 6x+2y=22, 000
Last, solve the problem. The best way to solve this problem is by elimination.
>> 10x+4y=38, 000
6x+2y=22, 000 }x2
>> 12x+4y=44, 000
10x+4y=38, 000
>> 2x=6, 000
x=3, 000
After we get the value of x, we substitute the x-value to the equation.
6x+2y=22, 000
6(3, 000)+2y=22, 000
18, 000+2y=22, 000
2y=4, 000
y=2, 000
We have the value of x is Rp3, 000.00 and the value of y is Rp2, 000.00. But we have to check the answer to the equation.
(i) 10x+4y=38, 000
10(3, 000)+4(2, 000)=38, 000
True
(ii) 6x+2y=22, 000
6(3, 000)+2(2, 000)=22, 000
True
So the price for a book is Rp3, 000.00 and a price for a pencil is Rp2, 000.00. Then if Indi buys 5 books and a pencil, she has to pay
5x+y = 5(3, 000)+2, 000
= 15, 000+2, 000
= 17, 000
She has to pay Rp17, 000.00.
2. Solving Mathematics Problem
This video shows Nancy I. Johnson, a math teacher. In this video, she showed us how to solve a word problem. She gave a question, and the question is shown bellow.
College student plans to spend $420 on books for one semester. He also plans to spend $20 per week on pizza. The fall semester is 18 weeks long. How much will he need for books and pizza?
First, we know that:
The college student spends $420 on books per semester.
The college student spends $20 on pizza per week.
The fall semester is 18 weeks long.
Then, we know that we have to find how much the college student will spend.
Books =$420 ×1 semester=$420
Pizza=$20×18 semester=$360
So, the college student will spend $420+$360=$780 for fall semester.
3. Two Variables Problem part 2
This video is taken from www.yourmathgal.com. This video shows us how to solve a problem with two variables. And here's the example.
The sum of the 1st number and twice the 2nd number is 23. The sum of twice the 1st number and the 2nd number is 31. Then find the number!
For the first number, assume it as x. For the second number, we assume it as y.
We know that:
x+2y=23 and 2x+y=31
The best way to solve this problem is by substitution the first equation to the second equation.
(i) x+2y=23 subtract each side with 2y
x=23-2y
(ii) 2x+y=31 substitute the first equation to this equation
2(23-2y)+y=31 simplify the equation
46-4y+y=31
46-3y=31 sum each side with 3y
46=31+3y subtract each side with 31
15=3y divide each side with 3
5=y
Then, substitute y=5 to x+2y=23. So, it becomes
x+2(5)=23
x+10=23 subtract each side with 10
x=13
After we solve the problem, we need to check the answer.
We have x=13 and y=5. We check those values to the first and the second equation.
(i) x+2y=23
13+2(5)=23
True
(ii) 2x+y=31
2(13)+5=31
True
So the value for the first number is 13 and the value for the second number is 5.
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