again i missed another post lol, anyways to days we learned about the KOCH SNOWFLAKE yay. we learned a bit more today on how the fractorial thingy ma jiggy works. we worked on the snowflake and filled in tables on the perimeter & on the area.
the perimeter we found the sequences on the # of new sides and the lenght of them, then to find the total area you could have taken "new side x new length" to get the total length. another way to do it is take the "previous total perimeter x {length/side}" and you will find the next total perimeter.
mr bennet also have premade graphs showing us what they would look like when we plugged the values into excel and made a graph.
to find the total area it is the same principle put in the values and find the sequences, get the total area
we also did the Sierpinski Gasket which had the same principle.
i guess a key note is that perimeter graphs increase but area graphs level off over a period of time
Tuesday, December 8, 2009
DEC 2 class
on dec 2 we had an intro into fractals, it was a very productive class. first we learned the basic principle behind fractals. which is no matter how small it gets it still looks the same so a person could keep on zooming in the pic and it would still have the same look to it. but it also works in the opposite direction also. if you zoom out it will also have the same shape and look to it........
after cutting out a box style fractal we learned a little about the math. as a class we filled out a little chart that showed us how over time the perimiter increases but the area after a few time starts to make no difference in the total area of the fractal
Page number on the text with a little more info is: #276 or tut 6-3
hope it help
after cutting out a box style fractal we learned a little about the math. as a class we filled out a little chart that showed us how over time the perimiter increases but the area after a few time starts to make no difference in the total area of the fractal
Page number on the text with a little more info is: #276 or tut 6-3
hope it help
Tuesday, December 1, 2009
Sequences
Today we received a hand out and talked about sequences. We went over the whole sheet that consisted of two medium sized questions. The basic settings you should know for this unit and what Mr. Bennet would like to see on YOUR cheat sheet is shown below.
Window settings: (example)
Min: 01 =# of terms
Max: 50 = "
plot: 1 = ( Ignore )
plot step: 1
Xmin: 01 =same as above # of terms
Xmax: 50 = "
Xscl: 01 -----> ALWAYS 1
Ymin: =actual values in the sequence
Ymax: = "
An example of one of the questions that we did together in class is shown below.
2. Jasmine broke her collarbone in a bicycle accident. Her doctor's prescription contains the following information:
Each pill contains 240mg of medicine
Jasmine must take two pills every 12 hours. This represents one dose.
She must take all 32 Pills as prescribed.
A) If Her kidneys eliminate 60% of the medication from her body every 12 hour. How much of the medication is in Jasmine's system immediately after she takes the 6th dose?
Calcuator buttons: [2nd] [Y=]
min= 1
u(n)= u(n-1) *.40+480
u(nmin)= {240}
Calcuator buttons: [2nd][tblset][6]. [[2nd][graph]
6= 796.72
B) sketch a graph for 16 doses.
Calcuator buttons: [Graph] ( you may have to change your window settings)
C) At what level does the mediation stabilize?
(to find this answer open your graph and arrow down until your u(n) stays the same number as the one before it.)
14 doses=800 stabilization number
d) Assuming that Jasmine take all her medication. How many hours would it take for her kidneys to eliminate the medication after her last dose? ( when its below 1mg its considered eliminated)
to solve you take 8*12=46 hours
e)Jasmine visits a second doctor for a different opinion before she starts the medication he informs her that the stabilization must be between 1000mg and 1200mg to eliminate the pain. describe the schedule for taking the medication if the pill that Jasmine is prescribed contains 240mg of medication and her kidneys eliminate 60% of the medication every 12 hours.
( you would solve this question the same as you would solve the first part except change a few numbers)
The answer is it would take three pills.
We also received two questions for homework that we will go over together in class tomorrow.
Window settings: (example)
Min: 01 =# of terms
Max: 50 = "
plot: 1 = ( Ignore )
plot step: 1
Xmin: 01 =same as above # of terms
Xmax: 50 = "
Xscl: 01 -----> ALWAYS 1
Ymin: =actual values in the sequence
Ymax: = "
An example of one of the questions that we did together in class is shown below.
2. Jasmine broke her collarbone in a bicycle accident. Her doctor's prescription contains the following information:
Each pill contains 240mg of medicine
Jasmine must take two pills every 12 hours. This represents one dose.
She must take all 32 Pills as prescribed.
A) If Her kidneys eliminate 60% of the medication from her body every 12 hour. How much of the medication is in Jasmine's system immediately after she takes the 6th dose?
Calcuator buttons: [2nd] [Y=]
min= 1
u(n)= u(n-1) *.40+480
u(nmin)= {240}
Calcuator buttons: [2nd][tblset][6]. [[2nd][graph]
6= 796.72
B) sketch a graph for 16 doses.
Calcuator buttons: [Graph] ( you may have to change your window settings)
C) At what level does the mediation stabilize?
(to find this answer open your graph and arrow down until your u(n) stays the same number as the one before it.)
14 doses=800 stabilization number
d) Assuming that Jasmine take all her medication. How many hours would it take for her kidneys to eliminate the medication after her last dose? ( when its below 1mg its considered eliminated)
to solve you take 8*12=46 hours
e)Jasmine visits a second doctor for a different opinion before she starts the medication he informs her that the stabilization must be between 1000mg and 1200mg to eliminate the pain. describe the schedule for taking the medication if the pill that Jasmine is prescribed contains 240mg of medication and her kidneys eliminate 60% of the medication every 12 hours.
( you would solve this question the same as you would solve the first part except change a few numbers)
The answer is it would take three pills.
We also received two questions for homework that we will go over together in class tomorrow.
Friday, November 27, 2009
Emmas missed days NOV 25 andNOV 26
Arithmatic Sequence: When you adved or subtract
Geometric Sequence:When you multiply or divide
Recursive:next term is based on the previous term
t9=9*?
*You can go on edline to get the graphs or you can make your own
*We also got our project for Sequences called make you own caffeine
then we got to work
Geometric Sequence:When you multiply or divide
Recursive:next term is based on the previous term
t9=9*?
*You can go on edline to get the graphs or you can make your own
*We also got our project for Sequences called make you own caffeine
then we got to work
NOV 27 Blog-Emma
Today in class we did tutorial 6.2 Modeling Using Sequences.
Time-you always have to start with 0.
Descrete Data-the dots do not connect.
Maintenance level-The amount of the substance iilizesr stabn the blood eventually levels off.
or stabilize
Assignment:pg 270 #1, 4, 5
Time-you always have to start with 0.
Descrete Data-the dots do not connect.
Maintenance level-The amount of the substance iilizesr stabn the blood eventually levels off.
or stabilize
Assignment:pg 270 #1, 4, 5
Tuesday, November 24, 2009
November 24th Blog
Today in class we learned about sequences.
1) Arithmetic Sequence- the sequence where the next term is found by adding/subtracting
2)Geometric Sequence- the sequence where the next term is found by multiplying/dividing
Recursive- the next term is based on the previous term.
t9=t8 x 2
Explicit- the term is defined by it's position(term number)
t9=9 x _?_
t1 t2 t3................ t10
2 4 8 t10=2^10
The Fibonacci Sequence is: 1,1,2,3,5,8,13,. . . .
We also learned how to find sequences on our calculator:
Ex) Week Prize
1 t1 5
2 t2 10
3 t3 20
1)mode--->seq
2)y=
nMin= what the first term is called----->1
u(n)=recursive formula (*always* u(n-1))---------> u(n-1) x 2
u(nMin)=first term (where you start)-------> {5}
So, to find week 52 go to 2nd function window and change the tblstart=52
1) Arithmetic Sequence- the sequence where the next term is found by adding/subtracting
2)Geometric Sequence- the sequence where the next term is found by multiplying/dividing
Recursive- the next term is based on the previous term.
t9=t8 x 2
Explicit- the term is defined by it's position(term number)
t9=9 x _?_
t1 t2 t3................ t10
2 4 8 t10=2^10
The Fibonacci Sequence is: 1,1,2,3,5,8,13,. . . .
We also learned how to find sequences on our calculator:
Ex) Week Prize
1 t1 5
2 t2 10
3 t3 20
1)mode--->seq
2)y=
nMin= what the first term is called----->1
u(n)=recursive formula (*always* u(n-1))---------> u(n-1) x 2
u(nMin)=first term (where you start)-------> {5}
So, to find week 52 go to 2nd function window and change the tblstart=52
Monday, November 23, 2009
Sequences(new unit)
This new unit will talk about sequences....(obviously)
Today:
PYRAMID SCHEMES(Illegal)
Pyramid schemes can be made by anybody.Pyramid schemes are inherently injurious to consumers because as a mathematical certainty, they are doomed to collapse. As in the case of chain letters that require a payment, only the people at the very top make any money.
EX> 6
36
Today:
PYRAMID SCHEMES(Illegal)
Pyramid schemes can be made by anybody.Pyramid schemes are inherently injurious to consumers because as a mathematical certainty, they are doomed to collapse. As in the case of chain letters that require a payment, only the people at the very top make any money.
EX> 6
36
216
1,296......ect
Pyramid schemes exploit people. This with limited knowledge of business such as individuals who have little experience in direct sales.
Why would anyone join a pyramid scheme?
They are sold to people that are assured that they are absolutely legal...(THEY ARE NOT NOT NOT LEGAL)
These people expect money to come in later down the line or any sort of promised prize and they do not receive it. These people that start these are con artists.
EX...
Dear investor:
You will be a millionaire....!!!! send 20 dollars to me with this letter.I will send it out to 6 people who will send it to six others and so on. for every person sent to you will receive 5 dollars. this is how it will work:::
This here is how it would work out if 6% of the people responded to the letters.
some times these are really bad schemes and the people do not send out any money and they take 100% of the profit this is what happens in most cases..
1,296......ect
Pyramid schemes exploit people. This with limited knowledge of business such as individuals who have little experience in direct sales.
Why would anyone join a pyramid scheme?
They are sold to people that are assured that they are absolutely legal...(THEY ARE NOT NOT NOT LEGAL)
These people expect money to come in later down the line or any sort of promised prize and they do not receive it. These people that start these are con artists.
EX...
Dear investor:
You will be a millionaire....!!!! send 20 dollars to me with this letter.I will send it out to 6 people who will send it to six others and so on. for every person sent to you will receive 5 dollars. this is how it will work:::
| round | letters sent | responses | total people | |
| 1 | 200 | 12 | 200 | |
| 2 | 2400 | 144 | 2600 | |
| 3 | 28800 | 1728 | 31400 | |
| 4 | 345600 | 20736 | 377000 | |
| 5 | 4147200 | 248832 | 4524200 | |
| 6 | 49766400 | 2985984 | 54290600 | $14,929,920.00 |
| 7 | 597196800 | 35831808 | 651487400 | |
| 8 | 7166361600 | 429981696 | 7817849000 |
some times these are really bad schemes and the people do not send out any money and they take 100% of the profit this is what happens in most cases..
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