It is a must that I have a competent in English for Mathematics Education
As a good student, I have a requirement that I need to do in this lecture the English language. Among the, It is a must that I have a competent in English for Mathematics Education is study. I want to be able can speaks English very well. I will have a vocab, vocab deepen so that the possibility I could smooth English major. In addition, also searching many of references support in this lecture. I will try to speak English perfectly. So at least I have the capital to teach soon. Besides studying, I also have to do the task well and on time in the collection, the insertion test and the end of semester examination.
Learning the English language just does not learn, because there are many benefits can be taken, add one of us in the foreign language. Among the, we could chat with the stranger. Yes we at least can help them if they get lost in the middle road. Or the more minimal, we will greet them without actually discovered that this person we Economics. as students, we should not lose the same cycle rickshaw in the Jogjakarta-seller or sellers of souvenirs in Bali. their use only speak English, we cook can do please?. And than we can work received in the company with a high position. Each company certainly need people who can speak good English oral and written.
If we can speak English, probably will get a high position such as secretary or manager. As a student in the current are required to speak English. So, learned that I meant is not only for reading, memorizing, but also remind what the materials that I have learned.
Senin, 01 Juni 2009
Minggu, 24 Mei 2009
What I have done and what I will do about English for Mathematics
What I have done and what I will do about English for Mathematics
Entering second semester , the English 2 study program is teacher by Mr. Marsigit. The beginning of this second semester, I make a preparing English study 2 plan. During run of this second semester, I have a lot of English practice of mathematics. There are several, among study vocab through oral examination given by the Mr. Marsigit. Listen to stories from the which is inside Mr. Marsigit offensive on English, Mathematics, Philosophy, and then prompted to re-embrace What I have of catching these stories. Watching a video and retell back the fill of the story. There are several titles in the video I have see, among what you no about math, knowing-math, English problem solving, pre-calculus, etc. I also written words and difficult terms in mathematics that I does not understand. With the writing of words with simple vocab I learn and easy to remember. In addition, I created and rendered in the English language to how originally formed of mathematical formula and theory. One of the ABC formula.
This second semester, I will do about English for mathematics study. I want to be able can speaks English very well. I will have a vocab, vocab deepen so that the possibility I could smooth English major. In addition, also searching many of references support in this lecture. So, learned that I meant is not only for reading, memoriezing, but also remind what the materials that I have learned.
Entering second semester , the English 2 study program is teacher by Mr. Marsigit. The beginning of this second semester, I make a preparing English study 2 plan. During run of this second semester, I have a lot of English practice of mathematics. There are several, among study vocab through oral examination given by the Mr. Marsigit. Listen to stories from the which is inside Mr. Marsigit offensive on English, Mathematics, Philosophy, and then prompted to re-embrace What I have of catching these stories. Watching a video and retell back the fill of the story. There are several titles in the video I have see, among what you no about math, knowing-math, English problem solving, pre-calculus, etc. I also written words and difficult terms in mathematics that I does not understand. With the writing of words with simple vocab I learn and easy to remember. In addition, I created and rendered in the English language to how originally formed of mathematical formula and theory. One of the ABC formula.
This second semester, I will do about English for mathematics study. I want to be able can speaks English very well. I will have a vocab, vocab deepen so that the possibility I could smooth English major. In addition, also searching many of references support in this lecture. So, learned that I meant is not only for reading, memoriezing, but also remind what the materials that I have learned.
Senin, 20 April 2009
VIDEO
VIDEO 1
DO YOU BELIEVE??
This video is about the speech of a boy. He is speech about belief to him self and belief to all people which can give a spirit and motivation for audiences. The boy said that he is believe to him self. And then he is ascertain to audiences that what they are believe to the boy and ascertain again what the audiences believe that he can stand up at stage and talk over twenty thousand visitors.
According to him self, here is the real, all event in our live is the real. He can do anything, be anything, create anything, dream anything, and become anything. This is because we are believe him and around up on him. We are better because next week were are showing up in our school. One hundred fifty seven dollars is over. What is we need from you ? we are just need a belief.
No matter we are come from, we have a same chance. We have a potential which can our development. We are the one who lovers with sometimes it feels like no one else. Do you believe?
The boy also said to his teachers, he is very love his teachers and he is needs his teachers, and then he said thanks.
The speech from the boy can give us a spirit and motivation. Not just him who said thanks to teachers but i and all people must thanks to the our teachers because we are very needs them till the end. And don’t forget, we are must remember what the boy said. To do anything, we must believe our self and the ones which we needs to do anything is belief from the other people or the people around us.
VIDEO 2
What you know about math??
This video is about the song which descript mathematic. Maybe most people who doesn’t know what is mathematic because they are fear mathematic and consider that mathematic is difficult. The song descript all about mathematic. The singer have known about mathematic. What will we find in mathematic?
The tool which familiarly with mathematic is calculator. Calculator can help us to solve the problem of mathematic. A kinds of study object which learned in mathematic, they are trigonometry, geometry etc. Mathematic is a mystery which make us burned up to solve. What is the sense of every problem? For example about limit, what is the sense of limit? Why we must get a limit, who is the founded and how they are found this formula?? Plenty more the problem of mathematic which make us burned up. Of those is a riddle which needs a problem. So, what you know about math??
VIDEO 3
Video 3 is about mathematic solving problem
1. The figure above shows the graph of y equals g(x). when x equals two, so y equals one. x equals three, g(three) equals zero. If the function h(x) equals g(two times x) plus two. What is the value by h(x) when x equals one?
Answer:
At the picture we can see that x equals two, y equals one and when x equals three, so y equals zero.
h(x) equals g (two times x) plus two.
h(one) equals g (two times one) plus two.
h(one) equals g (two) plus two.
h(one) equals three.
So, when x equals one, the value of h(x) is three.
2. Let the function f be defined by f(x) equals x plus one. If two times f(p) equals twenty, what is the value of f(three times p)?
Answer:
f(x) equals x plus one
two times f(p) equals twenty.
f(p) equals p plus one equals ten.
p equals nine.
x equals three p.
x equals twenty seven.
f(twenty seven) equals twenty seven plus one.
f(twenty seven) equals twenty eight.
So, the value of f(three times p) is twenty eight.
3. In the xy coordinate plane, the graph of x equals y square minus four intersects line l at (zero, p) and (five, t). what is the gradient and then find the line equation?
Answer:
Gradient is m
x equals y square minus four.
Line l equals m equals y two minus y one in bracket over x two minus x one in bracket.
gradient equals t minus p in bracket over five.
gradient equals one.
the line equation
y minus three equals one open bracket x minus zero close bracket y minus three equals x minus zero.
y equals x minus zero plus three.
So, the line equation is y equals x plus three.
VIDEO 4
PROPERTIES OF LOGARITHMS
Logarithm x with base number b equals y.
Equivalent b to the power of y equals x.
Notation: Logarithm x with base number ten equals Logarithm x, so Logarithm x with base number e equals natural Logarithm x.
Example:
Logarithm one hundred with base number ten equals x.
Ten to the power of x equals one hundred.
Ten to the power of two equals one hundred.
So, x equals two.
Logarithm x with base number two equals three.
Two to the power of three equals x.
Eight equals x.
So, Logarithm eight x with base number two equals three.
Logarithm one over forty nine with base number seven equals x.
Seven to the power of x equals one over forty nine.
Seven to the power of x equals one over one seventh square.
Seven to the power of x equals seven to the power of negative two.
X equals negative two.
Logarithm open bracket M times N close bracket with base number b equals logarithm M with base number b plus logarithm N with base number b.
Logarithm open bracket M over N close bracket with base number b equals logarithm M with base number b minus logarithm N with base number b.
Logarithm open bracket x to the power of n close bracket equals n times logarithm x with base number b.
Expand:
Logarithm open bracket x square times open bracket y plus one close bracket in bracket over z cube close bracket with base number three.
Equals logarithm x square times y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals logarithm x square with base number three plus logarithm y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals two times logarithm x with base number three plus logarithm y plus one in bracket with base number three minus three logarithm z with base number three.
VIDEO 5
PRE CALCULUS
Graph of rational function
can have discontinuities
has a polynomial in the denominator.
Look at the sample:
f(x) equals x plus two in bracket over x minus one in bracket.
When x equals one, this function become :
f(one) equals one plus two in bracket over one equals one minus one.
Equals three over zero.
The denominator is zero, this is a bad choice.
Insert zero, when x equals zero, so the value of y is negative two.
Insert one, when x equals one, so the value of y is zero. It is break in function graph.
So, if the function sketch in graph it is discontinuity, because it is break when x equals zero.
Rational function don’t always work this way. Not all rational functions will give zero in denominator. For the example f(x) equals one over open bracket x plus one close bracket. This function is never zero.
Rational function, denominator can be zero.
Rational function
x equals zero in denominator, three is no value for the function break in graph. Break consist of two ways, this is missing point syndrome. For the example: y equals open bracket x square minus x minus six close bracket over x minus three in bracket. This function will break when x equals three. This is not possible and not allowed. The answer is zero over zero. Zero to factor top and bottom. The smart solution is y equals open bracket x minus two close bracket times open bracket x plus two close bracket over x minus three in bracket. This function become y equals x plus two. When x equals three, this function become y equals three plus two, y equals five.
It is no problem. So, don’t forget that division by zero can b avoided.
VIDEO 6
ENGLISH TRIGONOMETRY
Trigonometry is one of knowledge from mathematic. The word of Trigonometry coming from two words Greek, it is “Trigonom” (triangle) and “metron” (measure). Therefore trigonometry is knowledge which learned about elements of triangle as study’s object.
If we have known there are triangle ABC with sides a equals three, sides b equals five, and sides c equals four. Known angle A equals x and angle C equals alpha.
What is the value of sinus alpha?
For abridge commit to memory, we use Soh Cah Toa.
Soh is sinus equals opposite over hypotenus.
So, sinus alpha equals four over five.
What is the value of cossinus alpha?
We use Cah.
Cah is cossinus equals adjustion over hypotenuse.
So, cosinus alpha equals three over five.
What is the value of tangent alpha?
We use Toa.
Toa is Tangent equals opposite over adjustion.
So, Tangent alpha equals four over three.
What is the value of tangent x?
The value of tangent x equals three over four. This is invers from tangent alpha.
DO YOU BELIEVE??
This video is about the speech of a boy. He is speech about belief to him self and belief to all people which can give a spirit and motivation for audiences. The boy said that he is believe to him self. And then he is ascertain to audiences that what they are believe to the boy and ascertain again what the audiences believe that he can stand up at stage and talk over twenty thousand visitors.
According to him self, here is the real, all event in our live is the real. He can do anything, be anything, create anything, dream anything, and become anything. This is because we are believe him and around up on him. We are better because next week were are showing up in our school. One hundred fifty seven dollars is over. What is we need from you ? we are just need a belief.
No matter we are come from, we have a same chance. We have a potential which can our development. We are the one who lovers with sometimes it feels like no one else. Do you believe?
The boy also said to his teachers, he is very love his teachers and he is needs his teachers, and then he said thanks.
The speech from the boy can give us a spirit and motivation. Not just him who said thanks to teachers but i and all people must thanks to the our teachers because we are very needs them till the end. And don’t forget, we are must remember what the boy said. To do anything, we must believe our self and the ones which we needs to do anything is belief from the other people or the people around us.
VIDEO 2
What you know about math??
This video is about the song which descript mathematic. Maybe most people who doesn’t know what is mathematic because they are fear mathematic and consider that mathematic is difficult. The song descript all about mathematic. The singer have known about mathematic. What will we find in mathematic?
The tool which familiarly with mathematic is calculator. Calculator can help us to solve the problem of mathematic. A kinds of study object which learned in mathematic, they are trigonometry, geometry etc. Mathematic is a mystery which make us burned up to solve. What is the sense of every problem? For example about limit, what is the sense of limit? Why we must get a limit, who is the founded and how they are found this formula?? Plenty more the problem of mathematic which make us burned up. Of those is a riddle which needs a problem. So, what you know about math??
VIDEO 3
Video 3 is about mathematic solving problem
1. The figure above shows the graph of y equals g(x). when x equals two, so y equals one. x equals three, g(three) equals zero. If the function h(x) equals g(two times x) plus two. What is the value by h(x) when x equals one?
Answer:
At the picture we can see that x equals two, y equals one and when x equals three, so y equals zero.
h(x) equals g (two times x) plus two.
h(one) equals g (two times one) plus two.
h(one) equals g (two) plus two.
h(one) equals three.
So, when x equals one, the value of h(x) is three.
2. Let the function f be defined by f(x) equals x plus one. If two times f(p) equals twenty, what is the value of f(three times p)?
Answer:
f(x) equals x plus one
two times f(p) equals twenty.
f(p) equals p plus one equals ten.
p equals nine.
x equals three p.
x equals twenty seven.
f(twenty seven) equals twenty seven plus one.
f(twenty seven) equals twenty eight.
So, the value of f(three times p) is twenty eight.
3. In the xy coordinate plane, the graph of x equals y square minus four intersects line l at (zero, p) and (five, t). what is the gradient and then find the line equation?
Answer:
Gradient is m
x equals y square minus four.
Line l equals m equals y two minus y one in bracket over x two minus x one in bracket.
gradient equals t minus p in bracket over five.
gradient equals one.
the line equation
y minus three equals one open bracket x minus zero close bracket y minus three equals x minus zero.
y equals x minus zero plus three.
So, the line equation is y equals x plus three.
VIDEO 4
PROPERTIES OF LOGARITHMS
Logarithm x with base number b equals y.
Equivalent b to the power of y equals x.
Notation: Logarithm x with base number ten equals Logarithm x, so Logarithm x with base number e equals natural Logarithm x.
Example:
Logarithm one hundred with base number ten equals x.
Ten to the power of x equals one hundred.
Ten to the power of two equals one hundred.
So, x equals two.
Logarithm x with base number two equals three.
Two to the power of three equals x.
Eight equals x.
So, Logarithm eight x with base number two equals three.
Logarithm one over forty nine with base number seven equals x.
Seven to the power of x equals one over forty nine.
Seven to the power of x equals one over one seventh square.
Seven to the power of x equals seven to the power of negative two.
X equals negative two.
Logarithm open bracket M times N close bracket with base number b equals logarithm M with base number b plus logarithm N with base number b.
Logarithm open bracket M over N close bracket with base number b equals logarithm M with base number b minus logarithm N with base number b.
Logarithm open bracket x to the power of n close bracket equals n times logarithm x with base number b.
Expand:
Logarithm open bracket x square times open bracket y plus one close bracket in bracket over z cube close bracket with base number three.
Equals logarithm x square times y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals logarithm x square with base number three plus logarithm y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals two times logarithm x with base number three plus logarithm y plus one in bracket with base number three minus three logarithm z with base number three.
VIDEO 5
PRE CALCULUS
Graph of rational function
can have discontinuities
has a polynomial in the denominator.
Look at the sample:
f(x) equals x plus two in bracket over x minus one in bracket.
When x equals one, this function become :
f(one) equals one plus two in bracket over one equals one minus one.
Equals three over zero.
The denominator is zero, this is a bad choice.
Insert zero, when x equals zero, so the value of y is negative two.
Insert one, when x equals one, so the value of y is zero. It is break in function graph.
So, if the function sketch in graph it is discontinuity, because it is break when x equals zero.
Rational function don’t always work this way. Not all rational functions will give zero in denominator. For the example f(x) equals one over open bracket x plus one close bracket. This function is never zero.
Rational function, denominator can be zero.
Rational function
x equals zero in denominator, three is no value for the function break in graph. Break consist of two ways, this is missing point syndrome. For the example: y equals open bracket x square minus x minus six close bracket over x minus three in bracket. This function will break when x equals three. This is not possible and not allowed. The answer is zero over zero. Zero to factor top and bottom. The smart solution is y equals open bracket x minus two close bracket times open bracket x plus two close bracket over x minus three in bracket. This function become y equals x plus two. When x equals three, this function become y equals three plus two, y equals five.
It is no problem. So, don’t forget that division by zero can b avoided.
VIDEO 6
ENGLISH TRIGONOMETRY
Trigonometry is one of knowledge from mathematic. The word of Trigonometry coming from two words Greek, it is “Trigonom” (triangle) and “metron” (measure). Therefore trigonometry is knowledge which learned about elements of triangle as study’s object.
If we have known there are triangle ABC with sides a equals three, sides b equals five, and sides c equals four. Known angle A equals x and angle C equals alpha.
What is the value of sinus alpha?
For abridge commit to memory, we use Soh Cah Toa.
Soh is sinus equals opposite over hypotenus.
So, sinus alpha equals four over five.
What is the value of cossinus alpha?
We use Cah.
Cah is cossinus equals adjustion over hypotenuse.
So, cosinus alpha equals three over five.
What is the value of tangent alpha?
We use Toa.
Toa is Tangent equals opposite over adjustion.
So, Tangent alpha equals four over three.
What is the value of tangent x?
The value of tangent x equals three over four. This is invers from tangent alpha.
VIDEO
VIDEO 1
DO YOU BELIEVE??
This video is about the speech of a boy. He is speech about belief to him self and belief to all people which can give a spirit and motivation for audiences. The boy said that he is believe to him self. And then he is ascertain to audiences that what they are believe to the boy and ascertain again what the audiences believe that he can stand up at stage and talk over twenty thousand visitors.
According to him self, here is the real, all event in our live is the real. He can do anything, be anything, create anything, dream anything, and become anything. This is because we are believe him and around up on him. We are better because next week were are showing up in our school. One hundred fifty seven dollars is over. What is we need from you ? we are just need a belief.
No matter we are come from, we have a same chance. We have a potential which can our development. We are the one who lovers with sometimes it feels like no one else. Do you believe?
The boy also said to his teachers, he is very love his teachers and he is needs his teachers, and then he said thanks.
The speech from the boy can give us a spirit and motivation. Not just him who said thanks to teachers but i and all people must thanks to the our teachers because we are very needs them till the end. And don’t forget, we are must remember what the boy said. To do anything, we must believe our self and the ones which we needs to do anything is belief from the other people or the people around us.
VIDEO 2
What you know about math??
This video is about the song which descript mathematic. Maybe most people who doesn’t know what is mathematic because they are fear mathematic and consider that mathematic is difficult. The song descript all about mathematic. The singer have known about mathematic. What will we find in mathematic?
The tool which familiarly with mathematic is calculator. Calculator can help us to solve the problem of mathematic. A kinds of study object which learned in mathematic, they are trigonometry, geometry etc. Mathematic is a mystery which make us burned up to solve. What is the sense of every problem? For example about limit, what is the sense of limit? Why we must get a limit, who is the founded and how they are found this formula?? Plenty more the problem of mathematic which make us burned up. Of those is a riddle which needs a problem. So, what you know about math??
VIDEO 3
Video 3 is about mathematic solving problem
1. The figure above shows the graph of y equals g(x). when x equals two, so y equals one. x equals three, g(three) equals zero. If the function h(x) equals g(two times x) plus two. What is the value by h(x) when x equals one?
Answer:
At the picture we can see that x equals two, y equals one and when x equals three, so y equals zero.
h(x) equals g (two times x) plus two.
h(one) equals g (two times one) plus two.
h(one) equals g (two) plus two.
h(one) equals three.
So, when x equals one, the value of h(x) is three.
2. Let the function f be defined by f(x) equals x plus one. If two times f(p) equals twenty, what is the value of f(three times p)?
Answer:
f(x) equals x plus one
two times f(p) equals twenty.
f(p) equals p plus one equals ten.
p equals nine.
x equals three p.
x equals twenty seven.
f(twenty seven) equals twenty seven plus one.
f(twenty seven) equals twenty eight.
So, the value of f(three times p) is twenty eight.
3. In the xy coordinate plane, the graph of x equals y square minus four intersects line l at (zero, p) and (five, t). what is the gradient and then find the line equation?
Answer:
Gradient is m
x equals y square minus four.
Line l equals m equals y two minus y one in bracket over x two minus x one in bracket.
gradient equals t minus p in bracket over five.
gradient equals one.
the line equation
y minus three equals one open bracket x minus zero close bracket y minus three equals x minus zero.
y equals x minus zero plus three.
So, the line equation is y equals x plus three.
VIDEO 4
PROPERTIES OF LOGARITHMS
Logarithm x with base number b equals y.
Equivalent b to the power of y equals x.
Notation: Logarithm x with base number ten equals Logarithm x, so Logarithm x with base number e equals natural Logarithm x.
Example:
Logarithm one hundred with base number ten equals x.
Ten to the power of x equals one hundred.
Ten to the power of two equals one hundred.
So, x equals two.
Logarithm x with base number two equals three.
Two to the power of three equals x.
Eight equals x.
So, Logarithm eight x with base number two equals three.
Logarithm one over forty nine with base number seven equals x.
Seven to the power of x equals one over forty nine.
Seven to the power of x equals one over one seventh square.
Seven to the power of x equals seven to the power of negative two.
X equals negative two.
Logarithm open bracket M times N close bracket with base number b equals logarithm M with base number b plus logarithm N with base number b.
Logarithm open bracket M over N close bracket with base number b equals logarithm M with base number b minus logarithm N with base number b.
Logarithm open bracket x to the power of n close bracket equals n times logarithm x with base number b.
Expand:
Logarithm open bracket x square times open bracket y plus one close bracket in bracket over z cube close bracket with base number three.
Equals logarithm x square times y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals logarithm x square with base number three plus logarithm y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals two times logarithm x with base number three plus logarithm y plus one in bracket with base number three minus three logarithm z with base number three.
VIDEO 5
PRE CALCULUS
Graph of rational function
can have discontinuities
has a polynomial in the denominator.
Look at the sample:
f(x) equals x plus two in bracket over x minus one in bracket.
When x equals one, this function become :
f(one) equals one plus two in bracket over one equals one minus one.
Equals three over zero.
The denominator is zero, this is a bad choice.
Insert zero, when x equals zero, so the value of y is negative two.
Insert one, when x equals one, so the value of y is zero. It is break in function graph.
So, if the function sketch in graph it is discontinuity, because it is break when x equals zero.
Rational function don’t always work this way. Not all rational functions will give zero in denominator. For the example f(x) equals one over open bracket x plus one close bracket. This function is never zero.
Rational function, denominator can be zero.
Rational function
x equals zero in denominator, three is no value for the function break in graph. Break consist of two ways, this is missing point syndrome. For the example: y equals open bracket x square minus x minus six close bracket over x minus three in bracket. This function will break when x equals three. This is not possible and not allowed. The answer is zero over zero. Zero to factor top and bottom. The smart solution is y equals open bracket x minus two close bracket times open bracket x plus two close bracket over x minus three in bracket. This function become y equals x plus two. When x equals three, this function become y equals three plus two, y equals five.
It is no problem. So, don’t forget that division by zero can b avoided.
VIDEO 6
ENGLISH TRIGONOMETRY
Trigonometry is one of knowledge from mathematic. The word of Trigonometry coming from two words Greek, it is “Trigonom” (triangle) and “metron” (measure). Therefore trigonometry is knowledge which learned about elements of triangle as study’s object.
If we have known there are triangle ABC with sides a equals three, sides b equals five, and sides c equals four. Known angle A equals x and angle C equals alpha.
What is the value of sinus alpha?
For abridge commit to memory, we use Soh Cah Toa.
Soh is sinus equals opposite over hypotenus.
So, sinus alpha equals four over five.
What is the value of cossinus alpha?
We use Cah.
Cah is cossinus equals adjustion over hypotenuse.
So, cosinus alpha equals three over five.
What is the value of tangent alpha?
We use Toa.
Toa is Tangent equals opposite over adjustion.
So, Tangent alpha equals four over three.
What is the value of tangent x?
The value of tangent x equals three over four. This is invers from tangent alpha.
DO YOU BELIEVE??
This video is about the speech of a boy. He is speech about belief to him self and belief to all people which can give a spirit and motivation for audiences. The boy said that he is believe to him self. And then he is ascertain to audiences that what they are believe to the boy and ascertain again what the audiences believe that he can stand up at stage and talk over twenty thousand visitors.
According to him self, here is the real, all event in our live is the real. He can do anything, be anything, create anything, dream anything, and become anything. This is because we are believe him and around up on him. We are better because next week were are showing up in our school. One hundred fifty seven dollars is over. What is we need from you ? we are just need a belief.
No matter we are come from, we have a same chance. We have a potential which can our development. We are the one who lovers with sometimes it feels like no one else. Do you believe?
The boy also said to his teachers, he is very love his teachers and he is needs his teachers, and then he said thanks.
The speech from the boy can give us a spirit and motivation. Not just him who said thanks to teachers but i and all people must thanks to the our teachers because we are very needs them till the end. And don’t forget, we are must remember what the boy said. To do anything, we must believe our self and the ones which we needs to do anything is belief from the other people or the people around us.
VIDEO 2
What you know about math??
This video is about the song which descript mathematic. Maybe most people who doesn’t know what is mathematic because they are fear mathematic and consider that mathematic is difficult. The song descript all about mathematic. The singer have known about mathematic. What will we find in mathematic?
The tool which familiarly with mathematic is calculator. Calculator can help us to solve the problem of mathematic. A kinds of study object which learned in mathematic, they are trigonometry, geometry etc. Mathematic is a mystery which make us burned up to solve. What is the sense of every problem? For example about limit, what is the sense of limit? Why we must get a limit, who is the founded and how they are found this formula?? Plenty more the problem of mathematic which make us burned up. Of those is a riddle which needs a problem. So, what you know about math??
VIDEO 3
Video 3 is about mathematic solving problem
1. The figure above shows the graph of y equals g(x). when x equals two, so y equals one. x equals three, g(three) equals zero. If the function h(x) equals g(two times x) plus two. What is the value by h(x) when x equals one?
Answer:
At the picture we can see that x equals two, y equals one and when x equals three, so y equals zero.
h(x) equals g (two times x) plus two.
h(one) equals g (two times one) plus two.
h(one) equals g (two) plus two.
h(one) equals three.
So, when x equals one, the value of h(x) is three.
2. Let the function f be defined by f(x) equals x plus one. If two times f(p) equals twenty, what is the value of f(three times p)?
Answer:
f(x) equals x plus one
two times f(p) equals twenty.
f(p) equals p plus one equals ten.
p equals nine.
x equals three p.
x equals twenty seven.
f(twenty seven) equals twenty seven plus one.
f(twenty seven) equals twenty eight.
So, the value of f(three times p) is twenty eight.
3. In the xy coordinate plane, the graph of x equals y square minus four intersects line l at (zero, p) and (five, t). what is the gradient and then find the line equation?
Answer:
Gradient is m
x equals y square minus four.
Line l equals m equals y two minus y one in bracket over x two minus x one in bracket.
gradient equals t minus p in bracket over five.
gradient equals one.
the line equation
y minus three equals one open bracket x minus zero close bracket y minus three equals x minus zero.
y equals x minus zero plus three.
So, the line equation is y equals x plus three.
VIDEO 4
PROPERTIES OF LOGARITHMS
Logarithm x with base number b equals y.
Equivalent b to the power of y equals x.
Notation: Logarithm x with base number ten equals Logarithm x, so Logarithm x with base number e equals natural Logarithm x.
Example:
Logarithm one hundred with base number ten equals x.
Ten to the power of x equals one hundred.
Ten to the power of two equals one hundred.
So, x equals two.
Logarithm x with base number two equals three.
Two to the power of three equals x.
Eight equals x.
So, Logarithm eight x with base number two equals three.
Logarithm one over forty nine with base number seven equals x.
Seven to the power of x equals one over forty nine.
Seven to the power of x equals one over one seventh square.
Seven to the power of x equals seven to the power of negative two.
X equals negative two.
Logarithm open bracket M times N close bracket with base number b equals logarithm M with base number b plus logarithm N with base number b.
Logarithm open bracket M over N close bracket with base number b equals logarithm M with base number b minus logarithm N with base number b.
Logarithm open bracket x to the power of n close bracket equals n times logarithm x with base number b.
Expand:
Logarithm open bracket x square times open bracket y plus one close bracket in bracket over z cube close bracket with base number three.
Equals logarithm x square times y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals logarithm x square with base number three plus logarithm y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals two times logarithm x with base number three plus logarithm y plus one in bracket with base number three minus three logarithm z with base number three.
VIDEO 5
PRE CALCULUS
Graph of rational function
can have discontinuities
has a polynomial in the denominator.
Look at the sample:
f(x) equals x plus two in bracket over x minus one in bracket.
When x equals one, this function become :
f(one) equals one plus two in bracket over one equals one minus one.
Equals three over zero.
The denominator is zero, this is a bad choice.
Insert zero, when x equals zero, so the value of y is negative two.
Insert one, when x equals one, so the value of y is zero. It is break in function graph.
So, if the function sketch in graph it is discontinuity, because it is break when x equals zero.
Rational function don’t always work this way. Not all rational functions will give zero in denominator. For the example f(x) equals one over open bracket x plus one close bracket. This function is never zero.
Rational function, denominator can be zero.
Rational function
x equals zero in denominator, three is no value for the function break in graph. Break consist of two ways, this is missing point syndrome. For the example: y equals open bracket x square minus x minus six close bracket over x minus three in bracket. This function will break when x equals three. This is not possible and not allowed. The answer is zero over zero. Zero to factor top and bottom. The smart solution is y equals open bracket x minus two close bracket times open bracket x plus two close bracket over x minus three in bracket. This function become y equals x plus two. When x equals three, this function become y equals three plus two, y equals five.
It is no problem. So, don’t forget that division by zero can b avoided.
VIDEO 6
ENGLISH TRIGONOMETRY
Trigonometry is one of knowledge from mathematic. The word of Trigonometry coming from two words Greek, it is “Trigonom” (triangle) and “metron” (measure). Therefore trigonometry is knowledge which learned about elements of triangle as study’s object.
If we have known there are triangle ABC with sides a equals three, sides b equals five, and sides c equals four. Known angle A equals x and angle C equals alpha.
What is the value of sinus alpha?
For abridge commit to memory, we use Soh Cah Toa.
Soh is sinus equals opposite over hypotenus.
So, sinus alpha equals four over five.
What is the value of cossinus alpha?
We use Cah.
Cah is cossinus equals adjustion over hypotenuse.
So, cosinus alpha equals three over five.
What is the value of tangent alpha?
We use Toa.
Toa is Tangent equals opposite over adjustion.
So, Tangent alpha equals four over three.
What is the value of tangent x?
The value of tangent x equals three over four. This is invers from tangent alpha.
V. Find the intercepts of y equals x square minus one and x square plus y square equals thirty. We know that y equals x square minus one is a curve which this shape is parabola and x square plus y square equals thirty is a circle equation.
x square plus y square equals thirty is a circle with radius is root of thirty.
x square equals to thirty minus y square.
x equals to the root of thirty minus y square in bracket.
Equation substitute in square equation.
Y equals x square minus one.
Y equals the root of thirty minus y square in bracket square minus one.
Y equals thirty minus y square minus one.
Y equals twenty nine minus y square.
y square plus y minus twenty nine equals zero.
We know that this is square equation, and then we will find the value of y. for find the value of y, we use of a, b, c formula.
Y one and y two equals open bracket negative b plus minus the root of b square minus four times a times c in bracket close bracket over two times a.
Y one and y two equals open bracket negative one plus minus the root of one minus four times one times negative twenty nine in bracket close bracket over two.
Y one and y two equals open bracket negative one plus minus the root of one hundred and seventeen in bracket close bracket over two.
Y one equals open bracket negative one plus the root of one hundred and seventeen in bracket close bracket over two.
Y one equals negative one plus ten point eight in bracket over two.
Y one equals four point nine.
The value of x one is:
X one equals the root of thirty minus four point nine square in bracket.
X one equals the root of thirty minus twenty four point oh one in bracket.
X one equals the root of five point nine.
X one equals two point four.
Y two equals open bracket negative one minus the root of one hundred and seventeen in bracket close bracket over two.
Y two equals open bracket negative one minus the root of ten point eight close bracket over two.
Y two equals negative eleven point eight over two.
Y two equals negative five point nine.
The value of x two is:
X two equals the root of thirty minus negative five point nine square in bracket.
X two equals the root of thirty minus thirty four point eighty one in bracket.
X two equals the root of negative four point eighty one.
This is not value for x two.
So the intercept from two equations is in x equals two point four and y equals four point nine.
IV. Showing that the root of 2 is irrational number
Root of 2 is the number irrasional first introduced by the Greeks. They said that the long diagonal of a triangular carpenter's square with the length of two sides that form a right angle-right angle to each one may not rational (irrasional).
Phytagoras obtained from the theorems that the length of hypotenuse (hipotenus) triangle is the root of 2.
The diagonal distance of square whose sides one is the root of one square plus one square in bracket equals the root of two. So diagonal distance is not representative rational number. We need the root of two. Itsmean the root of two equals a over b, where a over b is the prime number.
x square plus y square equals thirty is a circle with radius is root of thirty.
x square equals to thirty minus y square.
x equals to the root of thirty minus y square in bracket.
Equation substitute in square equation.
Y equals x square minus one.
Y equals the root of thirty minus y square in bracket square minus one.
Y equals thirty minus y square minus one.
Y equals twenty nine minus y square.
y square plus y minus twenty nine equals zero.
We know that this is square equation, and then we will find the value of y. for find the value of y, we use of a, b, c formula.
Y one and y two equals open bracket negative b plus minus the root of b square minus four times a times c in bracket close bracket over two times a.
Y one and y two equals open bracket negative one plus minus the root of one minus four times one times negative twenty nine in bracket close bracket over two.
Y one and y two equals open bracket negative one plus minus the root of one hundred and seventeen in bracket close bracket over two.
Y one equals open bracket negative one plus the root of one hundred and seventeen in bracket close bracket over two.
Y one equals negative one plus ten point eight in bracket over two.
Y one equals four point nine.
The value of x one is:
X one equals the root of thirty minus four point nine square in bracket.
X one equals the root of thirty minus twenty four point oh one in bracket.
X one equals the root of five point nine.
X one equals two point four.
Y two equals open bracket negative one minus the root of one hundred and seventeen in bracket close bracket over two.
Y two equals open bracket negative one minus the root of ten point eight close bracket over two.
Y two equals negative eleven point eight over two.
Y two equals negative five point nine.
The value of x two is:
X two equals the root of thirty minus negative five point nine square in bracket.
X two equals the root of thirty minus thirty four point eighty one in bracket.
X two equals the root of negative four point eighty one.
This is not value for x two.
So the intercept from two equations is in x equals two point four and y equals four point nine.
IV. Showing that the root of 2 is irrational number
Root of 2 is the number irrasional first introduced by the Greeks. They said that the long diagonal of a triangular carpenter's square with the length of two sides that form a right angle-right angle to each one may not rational (irrasional).
Phytagoras obtained from the theorems that the length of hypotenuse (hipotenus) triangle is the root of 2.
The diagonal distance of square whose sides one is the root of one square plus one square in bracket equals the root of two. So diagonal distance is not representative rational number. We need the root of two. Itsmean the root of two equals a over b, where a over b is the prime number.
Minggu, 05 April 2009
I. Logarithm Characters
a to the power of m times equals a to the power of m plus n
a to the power of m over equals a to the power of m minus n
logarithm b with base number a
logarithm a with base number g equals x so a equals g to the power of x
logarithm b with base number g equals x so b equals g to the power of y
how logarithm a with base number g in bracket all equals??
For Example:
Logarithm a with base number g equals x so a equals g to the power of x
Logarithm b with base number g equals y so b equals g to the power of y
a times b equals g to the power of x times g to the power of y
a times b equals g to the power of x plus y
logarithm a with base number g times b in bracket all equals logarithm g with
base number g to the power of x plus y equals x plus y in bracket all logarithm
g with base number g equals x plus y
logarithm a with base number g times b in bracket all equals logarithm a with base number g plus logarithm b with base number g
a over b equals g to the power of x over g to the power of y
so, a over b equals g to the power og x plus y
so, logarithm a over b with base number g in bracket all equals logarithm g
with base number g to the power of x minus y
so, logarithm a over b with base number g in bracket all equals x minus y
in bracket all logarithm g with base number g
so, logarithm a over b with base number g in bracket all equals x minus y
in bracket all
so, logarithm g with base number g a over b in bracket all equals logarithm a
with base number g minus logarithm b with base number g
logarithm b with base number g a over b in bracket all equals logarithm
a with base number g minus logarithm b with base number g
II. How to get amount phi
When that happens between the two ancient Egypt with babilonia. But ancient Egypt has donated a discovery-discovery that helps the development of mathematics. One of Egypt pyramid. At that time the ancient Egypt have found the value of phi is 3.16. However, the predication pyramid Egypt is a problem. Among them to claim half of the lining around the pyramid is based in the high, comparable with the 3.14. Calculation of phi attract attention since the era of BC. Until now many of the matematisi perform the analytical calculation and by using the computer. In the modern era it is accurate calculation of phi as a test to measure the sophistication of a computer and alogarithm
III. How found ABC formula
The character
A times B equals 0 when and only A equals 0 or B equals 0
The kuadrant root character
When A squared equals B so A equals plus minus squared root of B
The real figure depth x is
a times x squared plus b times x plus c equals 0 with a, b, c, € R and
a≠0
a times x squared plus b times x plus c equals minus c over a;
a times x squared plus b times x equals minus c;
x squared plus b over a times x equals minus c over a;
x squared plus b over a times x plus b over 2 times a in bracket all squared
equals minus c over a;
plus b over 2 times a in bracket all squared;
x plus b over 2 times a in bracket all squared equals b squared minua 4 times
a times c all over 4 times squared;
x plus b over 2 times a equals plus minus squared root of b squared minus 4
times a times c all over 4 times a squared;
x plus b over 2 times a equals plus minus squared root of b squared minus 4
times a times c all over 2 times a;
x12 equals minus b plus minus squared root of b squared minus 4 times a
times c all over 2 times a
so that by ABC formula,
when a times x squared minus b times x plus c equals 0
a, b, c, € R, a≠0
so, x12 equals minus b plus minus squaredroot of b squared minus 4 times a
times c all over 2 times a
a to the power of m times equals a to the power of m plus n
a to the power of m over equals a to the power of m minus n
logarithm b with base number a
logarithm a with base number g equals x so a equals g to the power of x
logarithm b with base number g equals x so b equals g to the power of y
how logarithm a with base number g in bracket all equals??
For Example:
Logarithm a with base number g equals x so a equals g to the power of x
Logarithm b with base number g equals y so b equals g to the power of y
a times b equals g to the power of x times g to the power of y
a times b equals g to the power of x plus y
logarithm a with base number g times b in bracket all equals logarithm g with
base number g to the power of x plus y equals x plus y in bracket all logarithm
g with base number g equals x plus y
logarithm a with base number g times b in bracket all equals logarithm a with base number g plus logarithm b with base number g
a over b equals g to the power of x over g to the power of y
so, a over b equals g to the power og x plus y
so, logarithm a over b with base number g in bracket all equals logarithm g
with base number g to the power of x minus y
so, logarithm a over b with base number g in bracket all equals x minus y
in bracket all logarithm g with base number g
so, logarithm a over b with base number g in bracket all equals x minus y
in bracket all
so, logarithm g with base number g a over b in bracket all equals logarithm a
with base number g minus logarithm b with base number g
logarithm b with base number g a over b in bracket all equals logarithm
a with base number g minus logarithm b with base number g
II. How to get amount phi
When that happens between the two ancient Egypt with babilonia. But ancient Egypt has donated a discovery-discovery that helps the development of mathematics. One of Egypt pyramid. At that time the ancient Egypt have found the value of phi is 3.16. However, the predication pyramid Egypt is a problem. Among them to claim half of the lining around the pyramid is based in the high, comparable with the 3.14. Calculation of phi attract attention since the era of BC. Until now many of the matematisi perform the analytical calculation and by using the computer. In the modern era it is accurate calculation of phi as a test to measure the sophistication of a computer and alogarithm
III. How found ABC formula
The character
A times B equals 0 when and only A equals 0 or B equals 0
The kuadrant root character
When A squared equals B so A equals plus minus squared root of B
The real figure depth x is
a times x squared plus b times x plus c equals 0 with a, b, c, € R and
a≠0
a times x squared plus b times x plus c equals minus c over a;
a times x squared plus b times x equals minus c;
x squared plus b over a times x equals minus c over a;
x squared plus b over a times x plus b over 2 times a in bracket all squared
equals minus c over a;
plus b over 2 times a in bracket all squared;
x plus b over 2 times a in bracket all squared equals b squared minua 4 times
a times c all over 4 times squared;
x plus b over 2 times a equals plus minus squared root of b squared minus 4
times a times c all over 4 times a squared;
x plus b over 2 times a equals plus minus squared root of b squared minus 4
times a times c all over 2 times a;
x12 equals minus b plus minus squared root of b squared minus 4 times a
times c all over 2 times a
so that by ABC formula,
when a times x squared minus b times x plus c equals 0
a, b, c, € R, a≠0
so, x12 equals minus b plus minus squaredroot of b squared minus 4 times a
times c all over 2 times a
truth students learn mathematics
To understand the process of learning mathematics, we describe the first term, learning, teaching and mathematics.
Process in pengertiannnya here is the interaction of all components that are unsure or in association to achieve a goal.
Definition of the process of learning behavior changes experienced by individuals in interacting with their environment. Changes can be changes in behavior (habit), competence (skills), knowledge (cognitive), attitude (afektif), and basic skills (psikomotor).
The teaching is in general business conditions of teachers to create or managing the environment in such a way, that happens interaction between students with the environment, including teachers, learning tools and so-called learning process, so that it achieved the goal of learning that has been determined. So the substance of a teaching process, that is, the process to set up, organize the environment around the students so that they can cause, encourage and provide guidance or assistance to students in the learning process.
While mathematics is a subject of concentration need to remember and return all the existing rules and must be fulfilled for the material learned. Thus, it can be concluded that learning mathematics is a learning process that involves teachers and students, where changes student behavior directed at the improvement in the ability to learn mathematics, while teachers must be proficient in the teaching approach of looking for that will help students in learning activities.
Mathematics problems in the big two can be divided they are: problems related to daily life and problems of mathematics.
Problems are problems that require math to solve. The issue emphasizes the aspects of mathematics and matematikanya process to complete. The process and results were considered and developed in the problems of mathematics. Teachers need to pay attention to how the problem can be expanded and the results can be general conclusions. Process skills in problem solving in mathematics is required:
- Reasoning (reasoning),
- Organization (organising),
- Grouping (classifing), and
- Identification of patterns (pattern recognising).
Students who successfully solve the problems of mathematics, including students who:
- Be sure capabilities,
- Would like to try different ways, and
- Have a high keingintahuan.
Teachers can get a math problem from a variety of sources, including:
- Through dialogue with the students,
- Sejawat through the park,
- Through parents,
- Through the teachers' handbook,
- Through a student question, and
- Through other sources.
Suggestions for creating a conducive atmosphere for learning aspects of mathematics problem solving:
- Observing the situation and the desire students,
- Provide questions to the students and to answer the request,
- Encourage students to use a variety of ways,
- Create a simple example, involving students, and develop,
- Create puzzles,
- Ask a question
Process in pengertiannnya here is the interaction of all components that are unsure or in association to achieve a goal.
Definition of the process of learning behavior changes experienced by individuals in interacting with their environment. Changes can be changes in behavior (habit), competence (skills), knowledge (cognitive), attitude (afektif), and basic skills (psikomotor).
The teaching is in general business conditions of teachers to create or managing the environment in such a way, that happens interaction between students with the environment, including teachers, learning tools and so-called learning process, so that it achieved the goal of learning that has been determined. So the substance of a teaching process, that is, the process to set up, organize the environment around the students so that they can cause, encourage and provide guidance or assistance to students in the learning process.
While mathematics is a subject of concentration need to remember and return all the existing rules and must be fulfilled for the material learned. Thus, it can be concluded that learning mathematics is a learning process that involves teachers and students, where changes student behavior directed at the improvement in the ability to learn mathematics, while teachers must be proficient in the teaching approach of looking for that will help students in learning activities.
Mathematics problems in the big two can be divided they are: problems related to daily life and problems of mathematics.
Problems are problems that require math to solve. The issue emphasizes the aspects of mathematics and matematikanya process to complete. The process and results were considered and developed in the problems of mathematics. Teachers need to pay attention to how the problem can be expanded and the results can be general conclusions. Process skills in problem solving in mathematics is required:
- Reasoning (reasoning),
- Organization (organising),
- Grouping (classifing), and
- Identification of patterns (pattern recognising).
Students who successfully solve the problems of mathematics, including students who:
- Be sure capabilities,
- Would like to try different ways, and
- Have a high keingintahuan.
Teachers can get a math problem from a variety of sources, including:
- Through dialogue with the students,
- Sejawat through the park,
- Through parents,
- Through the teachers' handbook,
- Through a student question, and
- Through other sources.
Suggestions for creating a conducive atmosphere for learning aspects of mathematics problem solving:
- Observing the situation and the desire students,
- Provide questions to the students and to answer the request,
- Encourage students to use a variety of ways,
- Create a simple example, involving students, and develop,
- Create puzzles,
- Ask a question
Langganan:
Postingan (Atom)
