1. TIAR AYU KUNTARI
1111313244013
INTERNASIONAL MATHEMATICS EDUCATION
SOLVING MATH WORD PROBLEMS
HOW TO SOLVE PROBLEM?
Word problems can be very challenging to many students and some of the basic things to think about when we trying to solve the word problem is to figure out what about the facts and what is being outs for.
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?
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 that the student is going to spending some money. He's spending $420 for books and $20 per week on pizza. And then we know there is 18 weeks long for this semester.
So, we are going to take $20 he's spending each week and multiply times 18 the number of week.
So he's spending $360 on pizza and $420 on books for this semester.
If we want to know how much he's spend on books and pizza in this semester, we need to add $360 and $420 and get the answer is $780. So, he will need $780 for books and pizza.
Basically, we have the fact that the student is going to spending some money. He's spending $420 for books and $20 per week on pizza. And then we know there is 18 weeks long for this semester.
So, we are going to take $20 he's spending each week and multiply times 18 the number of week.
So he's spending $360 on pizza and $420 on books for this semester.
If we want to know how much he's spend on books and pizza in this semester, we need to add $360 and $420 and get the answer is $780. So, he will need $780 for books and pizza.
2. EASY SYSTEM TO SOLVE WORD PROBLEMS
this video tells us about how to solve word problem which usually faced by the children. it is also helpful for teacher to help him to teach the students related to solve the word problem.
the 'word problem' related to every single parts of daily life. it related to many things and finally required a math operation to solve the problem.
many students usually get scared of word problem because it consists of many words that makes them confused. in this video, there is a new way to brake up the problem that is the use of 'buck'. buck itself is easy to understand because it closely related to money.
buck consists of four big important parts, they are B- box the information U-underline the information needed C-circle the vocabulary K-knock out the unneeded information because many students usually get confused by too much word.
there is an example there. how to solve the prblem?you can use the BUCK system to SOS: simplify, organize, and solve the problem.
so we can start by B: box the question, how many t-shirts are sold in a week ?
U: the underlined information are three, 10 minutes and 9am until 9pm everyday.
C:the circle word that needed to aware, they are minutes, everyday, and week.
K: and the unneeded information that may cause a problem are $19.95, 45 , and $24.95.
so the informations needed to solve the problem are:
60 minutes in an hour
12 hours from 9am to 9pm
so we have to multiply 12 times 60=720 minutes per day the shop is open
a t-shirt sold every ten minutes so we will devide 720 devide 10=72 per day
so in week we should multiply 72 times 7=504
and finally we can get the answer that the shop sells 504 t-shirts per week
there is another example that might cause people think that he is not in the end of the problem, so we should pay attention to the question.
so the formula of BUCK are:
B-how much money should maria bring
U- the info i need to know is a pair of shoes, the original price is $ 80.00 and discount of 20%
C-the vocabulary that i need to understand to solve the problem is the meaning of the original and discount.
and the information which do not needed are shoe store and last one week.
so the informations we need to solve the problem are:
the original proce is $80.00
and the discount is 20%, it means that the new price should be smaller than the original price.
so 80.00 times 20% = $16.00
and the new prices comes from the original price $80.00 minus the discount of $16.oo = $ 64.00
so the answer is that maria needs to bring at least at $64.00 with to the shoe store.
finally, what you need to underline when using BUCK when solving word problems are:
Box the question
Underline the information needed
Circle the vocabulary
Knock out information not needed.
there are some new vocabulary in this video which you can learn using your own word, they are:
-original cost
-discount
-measurements----minutes, hours, days, week
3. TWO VARIABLE WORD PROBLEMS 2
This video is going to show how to solve puzzle and riddles (otherwise known as word problems) using two variables.
and there will be two more examples. the first question.
a. A first number plus twice a second number is 23. Twice the first number plus the second number is 31. Find the numbers.
so we need to replace the 1st number with X and the 2nd # with y.
so we can make a formula for those two questions with:
1st #: X x+2y=23
2nd #: Y 2x+y=31
and we can use one of those formula to solve the problem.
let say i will be with the first formula
x+2y=23 ( and i will subtract 2y for both side) so,
-2y -2y so,
x=23-2y
so lets move the second formula that is 2x+y=31 and replace the x with the formula above
2x+y=31
2(23-2y)+y equals 31 (so we have one variable here)
46-4y+y equals 31 ( and we can simplify)
-3y+46 equals 31 ( and i think i will make it positif with adds +3y for both side, and make it simple with subtracts 31 for both number also)
+3y-31 -31+3y (so the answer will be)
15=3y so y equals 5.
so lets find the answer of the other formula
x=23-2y ( and subtitute y with 5, so)
=23-2(5)
=23-10
x=13
So the number are 13 and 5
b. The sum of two number is 16. The first number plus 2 more than 3 times the second equation is 18. Find the number!
Again we have the situation to find the first and the second number. And we write the two equation. The first number is x and the second number is y.
The first number plus 2 more than 3 times the second equation is 18. So, x + (3y + 2) = 18.
We can simplify the second equation to be x+3y= 16. So, we have x+3y=16 and x+y= 16 .
Now, we have to find x and y. We may multiply the second equation with -1. So it will be
x+3y= 16
-x-y= -16. We get 2y=0 and y=0.
Now, we apply y=0 on the first equation. We get x+y= 16
x+0= 16, so x=16.
We can simplify the second equation to be x+3y= 16. So, we have x+3y=16 and x+y= 16 .
Now, we have to find x and y. We may multiply the second equation with -1. So it will be
x+3y= 16
-x-y= -16. We get 2y=0 and y=0.
Now, we apply y=0 on the first equation. We get x+y= 16
x+0= 16, so x=16.
Let's check.
For the first equation, 0+16=16. For the second equation, 16+2=18. These are right.
For the first equation, 0+16=16. For the second equation, 16+2=18. These are right.
So the numbers are 16 and 0.
4. DERIVATIVE
Definition of derivative f(x) is a contract between two parties that specifies conditions (especially the dates, resulting values of the underlying variables, and notional amounts) under which payments, or payoffs, are to be made between the partiesand and then there is slope of tangent line at point such as (x, f(x)), (x+h, f(x+h)) with h equals change in x. So that slope is change in y divided by x equals (y2 times y1) divided by (x2 times x1). The general formula at any point and instead the derivative of fuction.
5.






0 komentar:
Posting Komentar