Math
Mania
By: Nathan, Jacob,
Nicole, George,
Amber, & Christina
Nathan Chess
Math Funnyz
Nathan Chess
Sudoku
Music and Math
By: Nathan Chess
Ever wonder why some note combinations sound pleasing to our
ears, while others make us cringe? To understand the answer to this
question, you’ll first need to understand the wave patterns created by a
musical instrument. When you pluck a string on a guitar, it vibrates back
and forth. This causes mechanical energy to travel through the air, in
waves. The number of times per second these waves hit our ear is called
the ‘frequency’. This is measured in Hertz (abbreviated Hz). The more
waves per second the higher the pitch. For instance, the A note below
middle C is at 220 Hz. Middle C is at about 262 Hz.
Now, to understand why some note
combinations sound better, let’s first look at the wave
patterns of 2 notes that sound good together. Let’s use
middle C and the G just above it as an example.
Now let’s look at two notes that sound terrible together, C and F#:
Do you notice the difference between these two? Why is the first
‘consonant’ and the second ‘dissonant’? Notice how in the first
graphic there is a repeating pattern: every 3rd wave of the G
matches up with every 2nd wave of the C (and in the second
graphic how there is no pattern). This is the secret for creating
pleasing sounding note combinations: Frequencies that match up
at regular intervals
www.youtube.com/watch?v=JtSYIJb9Ukw
The
Math
Song
Nichole’s article
Helpful Study Tips
There are many ways to study for math and one of those ways
whether you no it or not is always right in front of you. Studying is
as simple as taking your math book, sitting down and practicing
random problems from the math section you are working on.
Math is not always the most fun thing to practice but with the
help of your friends from school it can be more fun then you think.
When people don’t understand how to do math most of the time
they are embarrassed to say that they don’t understand because
they think people will make fun of them. If you are one of those
people then the first step is to admit that you have a problem and
to get help. If you don’t want to say out loud that you don’t
understand wait until the teacher is through and approach her at
her desk.
Another way to study for math is to take notes in class.
Even if the teacher says you don’t have to take notes take them
any way. It makes it a lot easier to study and no what you are
doing when you have the exact answers sitting in front of you. To
find more math tips Google them or go to various math sites.
There are 20 people on a bus heading for New York City, three of
the people make stops along the way, five of them decide to go
straight through, and the rest of them decide to give up on the trip
and just go home. How many people make it to New York, what
group will make it there first and how many people go home?
8 people altogether will make it to New York City and The group of
5 make it there first. And then 12 people go home.
Nichole Secilia
Nicholes puzzle answer
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Across
1. 55
2. 90
3. 93
4. 72
5. 11
6. 80
7. 40
9. 22
10. 51
11. 54
12. 12
13. 32
14. 103
15. 47
17. 64
18. 75
19. 63
20. 83
21. 57
Nichole Secilia
Down
1. 51
2. 92
3. 91
4. 68
5.10
6. 82
7. 31
8. 74
9. 21
10. 42
11. 52
12. 14
13. 37
14. 44
15. 45
16. 23
17. 61
18. 73
19. 127
Nicholes Math cartoon
Careers using math
There are a lot of careers using math. In every job, you wave to
use some type of math. Whether you are working at McDonalds
or working to rebuild a new skyscraper, you will use some type
of math. Sometimes it is easy and sometimes it is very
complicated. It is used to determine the salary or to determine
how big something is.
One career that uses math a lot is drafting. In Drafting,
you have to prepare drawings for many things. You design
buildings and structures. You also draw blueprints for
companies. After the company gets a drawing request, then the
drafting team starts working on it. It could take hours, days,
weeks, or months. Drafting & Design is a career field that uses a
lot of math.
Another career that uses a lot of math is Culinary Arts.
In culinary arts, you have to know the exact measurements for a
recipe. If you get a measurement wrong, then the recipe is
wrong. You could mess it up by the slightest measurement error.
Recipe measurements could be doubled or tripled also. You will
have to adjust the recipe to make the required servings.
A big career that uses math is banking. You need to
know how to do bank transfers. If the banker makes a mistake,
then the account he/she is working on will be messed up. The
amount in the account could be higher or lower than it really is.
The banker needs to know exactly what they are doing and how
to do it right.
By George White
Careers using math
There are a lot of careers using math. In every job, you wave to use some type of math. Whether you are working at McDonalds or working to rebuild a new
skyscraper, you will use some type of math. Sometimes it is easy and sometimes it is very complicated. It is used to determine the salary or to determine how big
something is.
One career that uses math a lot is drafting. In Drafting, you have to prepare drawings for many things. You design buildings and structures. You also
draw blueprints for companies. After the company gets a drawing request, then the drafting team starts working on it. It could take hours, days, weeks, or
months. Drafting & Design is a career field that uses a lot of math.
Another career that uses a lot of math is Culinary Arts. In culinary arts, you have to know the exact measurements for a recipe. If you get a measurement
wrong, then the recipe is wrong. You could mess it up by the slightest measurement error. Recipe measurements could be doubled or tripled also. You will have
to adjust the recipe to make the required servings.
A big career that uses math is banking. You need to know how to do bank transfers. If the banker makes a mistake, then the account he/she is working
on will be messed up. The amount in the account could be higher or lower than it really is. The banker needs to know exactly what they are doing and how to do
it right.
• Muhammad Al Khwarizmi.
• His full name is Abū Abdallāh Muhammad ibn
Mūsā al-Khwārizmī. He was born around 780c. He
died around 850c. He was around 70 years old
when he finally passed away. He is considered the
father of algebra. Even though he was the father
of algebra, there is not much known about him.
• They did discover a few things about him. A few
things they did find were about his family, his
work, his life, and a few other details. He lived in
Iraq, where at in Iraq is unknown. He created math
as we know it today so that is one important thing.
• He also published the first books of algebra. AlKitāb al-mukhtaṣar fī hīsāb al-ğabr wa’l-muqābala
was his first book. It means The Compendious
Book on Calculation by Completion and Balancing
in his language. He also made other books. One
more thing he did with his life was revising
Ptolemy version of geography.
• Ptolemy wrote a book called Geography in the 2nd
Century. It is a treatise on cartography and a
compilation of what was known about the world's
geography in the Roman Empire of the 2nd
century. He also worked on the Jewish calendar.
The calendar describes the 19-year intercalation
cycle, the rules for determining on what day of the
week the first day of the month Tishrī shall fall.
• By George White
A confused bank teller transposed the dollars and cents when he
cashed a check for Ms Smith, giving her dollars instead of cents and
cents instead of dollars. After buying a newspaper for 50 cents, Ms
Smith noticed that she had left exactly three times as much as the
original check. What was the amount of the check? (Note: 1 dollar =
100 cents.)
Answer on next page
By George White
Let x be the number of dollars in the check, and y be the
number of cents.
Then 100y + x − 50 = 3(100x + y).
Therefore 97y − 299x = 50.
A standard solution to this type of linear Diophantine
equation uses Euclid's algorithm.
The steps of the Euclidean algorithm for calculating the
greatest common divisor (gcd) of 97 and 299 are as
follows:
299 = 3 × 97 + 8
97 = 12 × 8 + 1
This shows that gcd(97,299) = 1.
To solve 97y − 299x = gcd(97,299) = 1, we can proceed
backwards, retracing the steps of the algorithm as follows:
1 = 97 − 8 × 12 = 97 − (299 − 3 × 97) × 12 = 37 × 97 − 12 ×
299
Therefore a solution to 97y − 299x = 1 is y = 37, x = 12.
Hence a solution to 97y − 299x = 50 is y = 50 × 37 = 1850, x
= 50 × 12 = 600.
It can be shown that all integer solutions of 97y − 299x =
50 are of the form y = 1850 + 299k, x = 600 + 97k, where k
is any integer.
In this case, because x and y must be between 0 and 99,
we choose k = −6.
This gives y = 56, x = 18.
So the check was for $18.56.
By George White
Christiaan Huygens
Christiaan Huygens was born on 14 April 1629, the second child of the poet and statesman
Constantijn Huygens and his wife, Suzanna van Baerle. Christiaan was taught by his father
and by specially appointed tutors. When he was eight, a certain Abraham Mirkenius, was
hired, whose main task was to teach the brothers Latin, the international language of
learning. He also studied geography, prosody, logic, Greek, French, and Italian, while
learning to play the lute, viola, and clavichord. When he was fourteen, he became
interested in drawing and mechanics. He taught himself to copy printed pictures and built
little models of devices he read about. The next year, Christiaan began formal lessons in
dancing and horseback riding. At this time, a mathematics tutor, Jan Jansz. Stampioen was
hired for Christiaan and his brother Constantijn.
On 11 May 1645, Christiaan and his brother Constantijn inscribed their names in the
student rolls of the University of Leiden. At that time, universities generally offered higher
degrees in only three subjects, Law, Theology, and Medicine. The boys father wanted them
to study Law, so that they would be able to continue the family tradition of high
government service. After two years at Leiden, Christiaan was transferred by his father this
time with his younger brother, Lodewijk to the new Illustrious School at Breda, which had
just been founded by the Prince of Orange (Frederick Henry), and of which his father was
one of the trustees. Here, Christiaan continued his legal studies from March 1647 to
August 1649. In 1655, Christiaan went on a voyage to Paris, accompanied by his younger
brother Lodewijk and two of their cousins. In those days, such a journey was a customary
way for young men of well-to-do families to round off their education.
In 1656-57, he invented the pendulum clock. At the time, he published only a brief
description; a more exhaustive treatment came much later. In 1669 he became so ill that
people were worried that he might die. In order to recuperate, he returned to his family in
The Hague, where he remained from September 1670 until June 1671. When, in 1681,
illness threatened his life for a second time, he again returned to The Hague. For the rest
of his life, Huygens remained in the Netherlands, an internationally famous scientist. He
continued his research and publications to the end, living off the wealth of his family. After
1687 there was talk now and then of marriage, but Huygens never took that step. In 1695
Huygens health deteriorated rapidly. On 9 July of that year, after having drawn up a will, he
passed away. He left his papers to the University of Leiden, where they remain to date. His
instruments and telescope lenses remained in the possession of the Huygens family until
1754 when the collection was broken up at a public auction.
Roxana Hayward Vivian
Roxana Hayward Vivian was born in Hyde Park, Boston,
Massachusetts on December 9, 1871. She entered Wellesley
College in 1890, graduating in 1894 with a B.A. degree after
majoring in Greek and Mathematics. In 1898, Vivian began
graduate studies at the University of Pennsylvania as a holder of
the Alumnae Fellowship for Women. In 1901 she became the
first woman to receive a Ph.D. in mathematics from the
University of Pennsylvania.
Vivian returned to Wellesley College in 1901 as an instructor in
mathematics. Vivian was the first member of the Wellesley
mathematics department to have a doctorate. She was
promoted to associate professor in 1908 and to full professor in
1918. During her twenty-six year career at Wellesley, Vivian had
several leaves of absence. From 1913-1914 she was a lecturer in
statistics for the University Extension in Boston. During 19131915 she also served as the financial secretary for the Women's
Educational and Industrial Union of Boston while teaching only
one course at Wellesley. In addition to her teaching in the
mathematics department, she served as the director of the
Graduate Department of Hygiene and Physical Education at
Wellesley from 1918 to 1921. This may have been due to the
decrease in need of mathematics instructors after Wellesley
dropped the requirement in mathematics several years earlier.
In a letter to Professor Helen Owens in 1937, however, Vivian
wrote:
"Taught for one year at Wellesley after my delightful year at
Cornell, and then was practically forced to resign from my full
professorship in mathematics after twenty-six years of teaching
at Wellesley. It was, as happens so often, a case of academic
jealousy and politics."
The year after leaving Wellesley, Vivian held a temporary
position in mathematics at a private school in Vassalboro,
Maine.
Answers:
1. 90
2. 132
3. 2850
Math Cartoon
Galileo Galilei
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• Jacob grim
3/19/10
• Galileo Galilei 15 February 1564[4] – 8 January
1642)[1][5] was an Italian physicist, mathematician,
astronomer, and philosopher who played a major role
in the Scientific Revolution. His achievements include
improvements to the telescope and consequent
astronomical observations, and support for
Copernican's. Galileo has been called the "father of
modern observational astronomy the "father of
modern physics,"[7] the "father of science,"[7] and "the
Father of Modern Science."[8] Stephen Hawking says,
"Galileo, perhaps more than any other single person,
was responsible for the birth of modern science."[9]
• The motion of uniformly accelerated objects, taught in
nearly all high school and introductory college physics
courses, was studied by Galileo as the subject of
kinematics. His contributions to observational
astronomy include the telescopic confirmation of the
phases of Venus, the discovery of the four largest
satellites of Jupiter (named the Galilean moons in his
honour), and the observation and analysis of sunspots
Math and science
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Earth is the planet we live on and the one with water and life as we know it. It is the third largest planet of the nine
that orbit the sun. The planets provide a lot of interesting numbers for measurement and computation. We will first
examine the distance and size of the planets. Then we will study weight and age if we were to travel to different
planets. The main purpose of this page is to learn scientific notation.
How far are the planets from the Sun?
Planets
Distance from Sun in km
Approx. diameter in km
Mercury
5.8 x 107
4, 840
Venus
1.03 x 108
12, 200
Earth
1.55 x 108
12, 756
Mars
2.28 x 108
6, 787
Jupiter
7.78 x 108
142, 200
Saturn
1.427 x 109
120, 600
Uranus
2.87 x 109
51, 300
Neptune
4.497 x 109
49, 100
Pluto
5.9 x 109
2, 300
Light travels at 300,000 km/second. How much time will it take to send a radio wave from Pluto to the Sun. (assume
radio waves travel at the speed of light).
5,900,000,000 / 300,000 = 19,666.7 seconds / 60
= 327.8 minutes / 60
= 5.46 hours
puzzle
• Why should you never mention
the number 288 in front of
anyone?
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• Answer Because it is too
gross (2 x 144 - two gross).
Math articles
Women in mathematics
There are many women known for their contributions to
mathematics. The woman in mathematics that I chose was
Suzan Rosa Benedict. Suzan was born in Norwalk, Ohio in
1873. She received her B.A. degree in 1895 from Smith
College with a major in chemistry and a minor in
mathematics, German, and physics.
Suzan taught high school mathematics in Norwalk
from 1895 to 1905 while also working as a real estate agent.
She then entered Columbia University, receiving her
master's degree in the history of mathematics in 1906. In the
same year she started teaching mathematics at Smith
College and where she remained for the rest of her
professional career.
Suzan continued her graduate studies while
teaching, and in 1914 she became the first woman to receive
a PhD in mathematics from the University of Michigan. At
Smith College Suzan continued her research in the history
of mathematics, publishing papers in the Mathematics
Teacher the American Mathematical Monthly. Through her
efforts the Smith College library developed a large collection
of rare books on the history of mathematics. She was
promoted to the rank of Professor in 1921. Benedict was
also a charter member of the Mathematical Association of
America, founded in 1915.
Benedict retired from Smith in February, 1942.She died
from a heart attack two months later. Her friendliness was
not confined to the College. To her an acquaintance was a
friend and people of all sorts and conditions in the town felt
that they knew her and will miss her.
By : Christina
Biographical sketch of a great
mathematician
Annie Dale Biddle was born in Hanford,
California in 1885. She was the youngest child of
Samuel E. Biddle and A. A. Biddle. Annie received
her B.A degree from the University of California in
1908.In 1911 she became the first women to receive
a PhD in mathematics at the University of California
at Berkeley.
Annie was an instructor in mathematics
at the University of Washington in 1911-1912. On
October 7, 1912 she married Wilhelm Samuel
Andrews. They had a daughter, born in 1913, and a
son, born in 1919. Annie Andrews was an instructor
in mathematics at the University of California during
various years between 1915 and 1932.
During
1922-23 she taught Mathematical Theory of
Investment, Plane Analytic Geometry and
Differential Calculus, Solid Analytic Geometry,
Integral Calculus, and Infinite Series, College
Algebra, and Introduction to Projective Geometry.
She was dismissed from her teaching position when
the mathematics department was reorganized in
1993.
Also in March, 1933, she presented a
research paper on "The space quartic of the second
kind by synthetic methods" at a meeting of the
American Mathematical Society in Palo Alto. The
abstract for the talk was published in the AMS
Bulletin. After a two year illness, Andrews died on
April 14, 1940, survived by her husband and two
children. During the last four years of her life she
took an active interest in public affairs and
charitable work in addition to her mathematical
research.
By: Christina Rockwell
Helen has 3 inches of hair cut off
each time she goes to the hair
salon. If n equals the length of hair
before she cuts it and c equals the
length of hair after she cuts it, which
equation would you use to find the
length of Helen's hair after she visit
the hair salon?
a) n = 3 - c
c) c = n - 3
b) c = 3 - n
d) n = c – 3
Math puzzle:
Answer Key:
And We
Iz Dizzone!