#2 English Task (Reflection for Math Song and Mathematical Content Video)

1.      Reflection for Math song

Mathematics felt so difficult or so easy depend on our method to learn or teach. March 19, 2012 I study English education in my class with my friends and Mr. Marsigit as my lecturer. Mr. Marsigit shows the video about the song of math in my class. He said if we can teach a lesson on mathematics with song of math, it can make mathematics so fun and then the student also enjoy at the moment of study mathematics. I think it’s good idea, because up till now I am still hear the student felt mathematics so difficult and very boring.

The first song is “the math song parody.” This video is talking about function and relations. I am happy when I watch this video, because song of this video is often I hear. This video can make me interested and also amuse me so that I enjoy watching this video.

The second song is “that’s mathematics by Tom Lehrer.” This video is talking about many topics of mathematics in daily life. Rhythm in this song is so fun and makes me enthusiasm.

The third song is “mean, median, and mode.” The video tell us about how to find mean, median, and mode. I’m very amused because in this video there is funny picture. And also rhythm of this song makes me enjoy.

The fourth song is “what you know about math.”  I think actor in this video is very enthusiasm. This video put in my of mathematics formula.

a)      “The Math Song (The Lazy Song – Bruno Mars) Parody”

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 destination

Learn about this function notation

I’ll be graphing linear function

And interpreting relations

Did you know that y=mx+b?

So in 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’ll 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 definitions

 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

b)      That’s Mathematics by Tom Lehrer

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 of 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 an elephant’s ear?

When its noon on the moon, then what time is it here?

If you could count for a year..

Would you get to infinity? or somewhere in that vicinity?

When you choose, how much postage to use

When you know, what’s the 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 Smiles, Does his thing and voila!

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 you feet, keep in time to a beat

Of a song, while you’re singing along

Harmonise, with the rest of the guys

Yes try as you may, you just can’t get away

From Mathematics!

c)       Mean, Median, and Mode Math Learning Upgrade

Mean, median, and mode

How do you find the mean?

Add up the numbers in the data sheet

Divide the total by the number of items

The answer is the mean or average

 Mean, median, and mode

How do you find the median?

Arrange the numbers in order, from the lowest

To the highest values

The middle number is the median for an

Odd number of items

Mean, median, and mode

Mean, median, and mode

How do you find the mode?

Just find the number that repeats most often

Ad the number is the mode

Of 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

d)      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

Freshman backpack where I holdin’ all my work at

What you know about Math

What you know about Math

What you know about Math

 I know all about Math

Answer’s 44 it’s real easy cus it’s sig figs

You got 45 your answers high you rounded too big

What you know about Math

What you know about Math

What you know about Math

I know all about Math

TI-80 silver edition know I’m shinin’ dog

Extra memory on the back to do my natural log

You know we multiply while memorizing pi

Take limits to the sky be sure to simplify

Graphing utility it’s trigonometry 100 our Math B

Don’t you cheat off me

Distance is rate times time

The sign graph ain’t no line

Exponential decline

But your score can’t beat mine

We’re memorizing rate for our math league states

Against the math league greats

Not getting many dates

I got to find mate but girls just play a hate and always make me wait

Can’t even integrate

Don’t you know I represent math league when I add shorty subtract

Freshman backpack where I holdin’ all my work at

What you know about Math

What you know about Math

What you know about Math

I know all about Math

2.      Reflection for mathematical content video

a)      First Video

It is about how to solve word problems.

Word problems can be very challenging to many students and some of the basic thing is to think about when we trying to solve the word problem is to figure out what are the facts and what is being outs for. Here’s an example.

A 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?

Solution:

Basically we have the fact here. A student going is to be spending some money.

He’s spending $420 on books and he’s spending $20 per week on pizza.

We need add $420 and $20 per week. Looking for the other fact to the fall semester is 18 weeks long. So we’re going to take $20 he’s spending each week and multiply 18 the number of weeks. So he is spending $360 on pizza for the semester and $420 on books for the semester. If we one to know how much he need for the books and the pizza, we need add $360+$420. And of course, he will need $780 for books and pizza.

This is help to solve a word problem.

b)      Second Video

The second video is talking about solving puzzles and riddles (otherwise known as word problems) using two variables.

Example 1 :

A first number plus twice a second number is 23. Twice the first number plus the second number is 31. Find the numbers.

Solution:

Let the first number is x and the second number is y. We need to write two equations.

The first equation is x plus twice a second number so that would be 2y, equals to 23. Second equation is two times x plus the second number is y and equals to 31. We can solve each equation with substitution.

From the first equation, we can find the value of x with subtract the right side and left side with -2y, such that the value of x is 23 – 2y. And then we put the value of x from the first equation for 2x in the second equation. So,  2(23-2y)+y=31. And we can calculate this.

So, it can be 46-4y+y=31. Then, we can subtract variable of y, so -3y+46=31. Then, you can add the left side and right side with 3y and you can subtract with 31. The result is 15=3y. And then you can divide the right side and left side with three and you can get the value of y is 5.

After you get the value of y, you also can find the value of x with x=23-2y. And you can put the value y in this equation, x=23-2.5. So, the value of x is 13.

Then, you can check your answer with put the answer to the equation. Like this, x+2y=23 so, 13+2.10=23 and it’s true. 2x+y=31 so, 2.13+5=31 and it’s also true.

So, the numbers are 13 and 5.

Example 2 :

The sum of two numbers is 16. The first number plus 2 more than 3 times the second equals 18. Find the numbers.

Solution:

Look for a first and the second number. Suppose, first number is x, and second number is y.

Alright, so we have x and y.

The sum of two numbers is 16, so that x+y=16.

The first number plus 2 more than 3 times the second number equals to 18, so that x+(3y+2)=18.

We can simplify the second equation to be x+3y=18-2 so that x+3y=16.

Next step , we can eliminate both of equation.

The first equation is x+3y=16, and the second function is x+y=16 . Then we must multiply the second equation with minus one, so that –x-y=16. Then, we can add both of equation.

x + 3y = 16

-x – y =16

Such that 2y = 0, and the values of y is 0. Because x+y=16, so the value of x is 16.

Alright, let’s check!

x + y =16, so 16+0=16. It’s true.

x +(3y+2)=18, so 16+(0+2)=18. It’s also true.

So, the numbers are 16 and 0.

We finish.

c)       Third Video

The third video is talking about logarithm.

Basically, if you have logarithm the base b, so log b of x equals y.

This formula same with b to the power of y equals to x. It is the first information about logarithm that we should to know.

The second one is notation of logarithm.
If we have log base 10 of x, we can simplify into log x , without 10.
And also for log base e of x (e is equals to 2.71…).
We can rewrite ln of x (ln x). That is we call natural logarithm.

For example log the base ten of one hundred equals to x. You can use the basically formula. So that ten to the power of x equals to one hundred. Be careful for the value of x, it’s not multiplication but its exponent. And the value of x is two, because ten to the power of two equals to one hundred.

Next example is log the base two of x equals to three. You can change the logarithm to be exponential, so two to the power of three equals to x. Finally the value of x is two times two times two equals to eight.

Then, next example suppose we had log the base seven of one over forty nine equals to x. we can change the logarithm to be seven to the power of x equals to one over forty nine. You know forty nine is seven squares, so that seven to the power of x equals to one over seven squares.  And then, seven to the power of x equals to seven to the power of negative two. Such that the value of x is negative two.

Next, you have log the base b of m times n, it is equals to log the base b of m plus log the base b of n. Then if you have log the base b of m over n is equals to log the base b of m minus log the base b of n.  And the last, if you have log the base b of x to the power of n then simplify to n times log the base b of X.

For example suppose you have log the base three of x squares times y plus one over z cubic. You must see the logarithm formula, so the problems equals to log the base three of x squares times y plus one minus log the base three of z cubic. Then you must expand again, so log the base three of x squares plus log the base three of  y plus one minus log the base three of z cubic. And last step, two times log the base three of x plus log the base three of y plus one minus three times log the base three of z.