Albert Einstein • Albert Einstein was born on March 14, 1879 in Ulm, Germany. When he was 1, his family moved to Munich. Albert’s father was Hermann Einstein, who was an engineer and salesman. Albert Einstein’s mother was Pauline Einstein. Albert’s uncle and father founded a company that manufactured electrical equipment named Elektrotechnische Fabrik J. Einstein & Cie. Albert Einstein attended a Catholic School from the age of five to ten. Albert was a top student in his school, but had early speech problems. Albert attended Catholic School because his family was non-observant Jews. • Albert began to show his talent for mathematics by building models and devices. Hermann Einstein and Albert’s uncle’s company failed in 1894. The Einstein family moved to Italy, first to Milan, then to Pavia a few months later in search for a job or business. Albert stayed in Munich after the family moved to Pavia to finish his studies at Luitpold Gymnasium. Albert’s father wanted Albert to pursue electrical engineering, but instead Albert resented the school’s regimen and teaching method. • Einstein and his future wife Mileva Maric had a daughter named Lieserl, who was born in Novi Sad in early 1902. In January 1903 Albert Einstein and Mileva Maric got married. In Bern Switzerland 1904 the couple’s first son, Hans Albert Einstein was born. In July 1910 their second son Eduard Einstein was born. While Mileva stayed in Zurich with the boys, Einstein moved to Berlin. On February 14, 1919 Mileva and Albert got a divorce. After being in a relationship with a woman named Elsa Lowenthal since 1912, Albert and Elsa got married. Elsa died in December 1936 because of heart and kidney problems. • Albert was presented his doctorate from the University of Zurich in 1905. He published four groundbreaking papers in the same year on photoelectric effect, special relativity, and the equivalence of matter and energy. One of the things that make Albert Einstein noticeable was E=MC2. Albert was a very recognized leading scientist in 1908. That same year at the University of Berne, he was appointed lecturer. In 1911 Albert became a professor at Karl-Ferdinand University. Albert was awarded the Noble Prize in Physics in 1921. Albert immigrated in 1933 because he thought that the Nazis were getting to powerful. Albert became an official American citizen in 1940. He was asked and offered the right to have the position of the President of Israel, but declined the offering. Albert started experiencing internal bleeding on April 17, 1955. The internal bleeding was caused by the abdominal aortic aneurysm having a rupture. Albert passed away at the age of 76 early the next morning at Princeton Hospital. • » » By: Mallory Stajnrajh. Information from www.wikipedia.org Self Help Article • Some steps that you could use to help you study for a math test: • • • • Take good notes. Practice some problems in your book. Look over a review sheet that your teacher gave you. Look over the lessons that are going to be on the test. • When you take good notes in class, you might be able to use them to help you on the test if your teacher allows you. You also can use good notes to help you study. • Another method you could use is practicing problems in your book. It can help refresh your memory and help you understand the problems better. • Looking over a review sheet that a teacher gives you can also be helpful to you on the test. A reason is because some of the questions on the review sheet could be on the test. • The last method that you could do to help you or someone to study is looking over the lessons that are going to be on the test. It could help because some of the formulas you need to remember could be in there and some of the problems. • By: Mallory Stajnrajh Cartoon By: Mallory Stajnrajh www.google.com Word Problem # 1 • There were 20 kids on the playground. 7 kids came out to join the other kids on the playground and 5 different ones went inside. Another 10 kids went inside and 6 came back outside on the playground. • How many kids were left on the playground? • By: Mallory Stajnrajh Puzzle #1 Try to fill in the missing numbers. The missing numbers are integers between 0 and 9. The numbers in each row add up to totals to the right. The numbers in each column add up to the totals along the bottom. The diagonal lines also add up the totals to the right. By: Mallory Stajnrajh Puzzle from www.delicious.com Math & Space • Math and space have been intertwined for many years. You can see this in the field of astronomy. Astronomy is the study of celestial object such as stars, planets, comets, nebulae, galaxies and many more. It uses math because of the great distances involved with all of these objects. Also, math is used in astronomy by scientists trying to figure out motions and the formation and development of the universe. • Astronomy is one of the oldest sciences. Many ancient civilizations used it, such as the Babylonians and ancient Greek. They performed methodical observations of the night sky. They made calendars based on the moon and sun cycles. Another astronomical artifact that was found in England was called Stonehenge. • All of those prehistoric artifacts and data led to what is now known as modern astronomy. During the 20th century, astronomy split into two branches called observational and theoretical. Observational astronomy is focused in acquiring data from observations of celestial objects, which is then analyzed using basic physics. Theoretical astronomy is oriented towards the development of computer models to describe astronomical objects and phenomena. The two fields work together using different types of math. • In conclusion, math and space have been linked foe eons. Distances from Earth to other planets, stars and other celestial bodies are found using math. Astronomy even has equations using equations with their own sort numerical system. A few of these are the parsec and the Astronomical unit. An astronomical unit is the distance from here to the sun (93,000,000) miles. A parsec is a unit of length equal to 3.26 light years. • • By Hayley Pitchford Article from www.wikipedia.org Women in Mathematics • There are many women involved in mathematics. A few of the women that were involved were Maria Agnesi, Sophie Germain, Caroline Herschel, and Amalie Emmy Noether. • Maria Agnesi was born on May 16, 1718 in Milan, Italy and died January 9, 1799. Maria was the very first female mathematician for modern times. Maria’s father made sure that she received an education from some of the finest tutors. She was also the first woman to be appointed as professor at a university. Maria wrote and published the first comprehensive Calculus textbook. • Sophie Germain was born on April 1, 1776 and died June 27, 1831. When Sophie was thirteen years old, her parents kept her isolated from the turmoil of the French Revolution by keeping her inside. She read from her father’s library to keep from being bored. After Sophie discovered geometry, she taught herself mathematics. Her parents would always try to keep her from studying. So she studied at night. They realized, and took away candles, and even took her clothes away. All to keep her from reading at night. She still found ways to study. Her parents eventually gave in to her mathematical study. • Caroline Herschel was born in Hanover, Germany on March 16, 1750 and died January 9, 1848 at the age of 97. Caroline was a mathematician and an astronomer. She was the first woman to discover a comet. Caroline also went on to discover seven more. She helped discover the planet Uranus. Caroline had other hobbies such as singing but she abandoned her singing career for astronomy. • Amalie Emmy Noether, known as Emmy, was born on March 23,1882 in Germany and died on April 14,1935. Emmy studied arithmetic and languages. Her graduation qualified her to teach French and English in girls’ schools, which was the career that she intended to follow. Later, she changed her mind and decided that she wanted to study mathematics at the university level. • • By Hayley Pitchford Article from www.wikipedia.com Cartoon By: Hayley Pitchford. www.google.com Word Problem # 2 • A group of 87 students went to an amusement park. 24 students rode the sky coaster and 19 students went to the arcade. What percent of the students rode the sky coaster and what percent of the students went to the arcade? • By Hayley Pitchford Puzzle #2 Try to fill in the missing numbers. Use the numbers 1 through 9 to complete the equations. Each number is only used once. Each row is a math equation. Each column is a math equation. Remember that multiplication and division are performed before addition and subtraction By: Hayley Pitchford. www.delicious.com Math & Space “Quoted from (http://er.jsc.nasa.gov/SEH/math62.html)” Things like matrix algebra, conic sections, or calculus are used in places like NASA and other major space corporations all around the world. The things they may use them for are things like the distance of a star in miles or light-years or how much volume a planet has. By: Justin M. Word Problem #3 • Dale paid $124 to get his roof fixed. The total cost for repairs was the sum of the amount paid for shingles and the amount paid for labor. Dale was charged $76 for the shingles and $12 an hour for labor. Find the amount of time it took to repair the roof. • By: Justin M. Puzzle #3 Try to fill in the missing numbers. The missing numbers are integers between 0 and 9. The numbers in each row add up to totals to the right. The numbers in each column add up to the totals along the bottom. The diagonal lines also add up the totals to the right. Justin M. www.delicious.com Careers Involving Math • Some of the careers that involve math are people that work at banks and cashiers. In the first paragraph I will be telling you how people that work at the bank use math everyday. The second paragraph will be telling you how a cashier uses math doing their job. • A person that works at the bank uses math by counting out the money to give to the people when they come to the bank. They also use math by helping people figure out what they have in their bank account. That is how a person that works at the bank involves math. • A cashier uses math by counting the money the people give them when they pay for there stuff they get at the store. They also need to know how to do math to know how to work the register. A cashier is very important person to the store. That is how a cashier involves math and uses math doing there job. • That is how a person at the bank and a cashier involves math in there careers and how they use math while doing there job. That is all I am going to tell you about careers using math. • By: Loral Hathaway Self Help Article • Four Tips to Studying • • • • Take Good Notes Study Over Review Sheets Study in a Quiet Place Study with Friends • The first thing to taking good notes are writing down all the important information, by important information I mean whatever your teacher tells you that needs to go into your notebook. Some other things that you would write down are all the problems that the teachers go over. If you do that it might help you know what you get wrong when you do a problem. That is how you take good notes. • If you were to look over your review sheets that may help you on the test. You should look over your review sheet right before the test because it is like a mini cheat sheet. The review sheet may have some questions on it that might be on the test. That is why you should look over the review sheets. • If you would study in a quiet place you might understand the information better. You may also need to study with some music on, but that might get you distracted. I would advice you not to watch TV. while you are trying to study because then you will get sidetracked and start watching the TV. instead of studying. That is why you should study in a quiet place. • If you study with your friends you might understand the information better. The reason you may understand it better is because you friend may know more than you know, or they may understand it better than you. That is why you might want to study with a friend. • By: Loral Hathaway. Cartoon By: Loral Hathaway www.delicious.com Word Problem #4 The Carnival was opening Saturday evening. Tickets were on sale for $5.00 for kids, $8.00 per adult. A family decided to go to the carnival. There were 3 kids and 2 adults. How much would it cost for the whole family to get tickets? By: Loral Hathaway. Puzzle #4 Try to fill in the missing numbers. The missing numbers are integers between 0 and 9. The numbers in each row add up to totals to the right. The numbers in each column add up to the totals along the bottom. The diagonal lines also add up the totals to the right. By: Loral Hathaway www.delicious.com Women in Mathematics • • • • • • • • • • • • • Elizabeth Ruth Bennett Elizabeth Ruth Bennett was the first women to receive a PhD in mathematics from the university of Illinois. She was born in, Shawnee PA in 1903.she wrote the Primitive groups with a determination of the primitive groups of degree 20. Winifred Edgerton Merril September 24,1862 –September 6,1951 She taught mathematicians for many years at different institutions at the age of 83 she took a doctors degree. Olga Arsen’enua Oleinik July 2, 1925-October 31,2001 She wrote 370 published papers and eight books her main research was concerned with algebraic geometry partial differential equations and mathematical physics. Elizabeth Morgan Cooper January 19, 1891-May 17, 1967 Cooper was a highly acclaimed teacher. Her philosophy of teaching mathematics centered on student participation and discovery. She wrote an unpublished algebra text called "Letters to Anne" containing letters written to the young Anne explaining and teaching algebra from an informal point of view. She believed that "to attempt, unaided, a proof or a problem may be better preparation for later proofs and problems than merely to play an attentive part in the class development of the problem," and that one should give "lessons in which skillful teacher questions make the student do the thinking, so that all the new ideas have been actually expressed by them, the chief words of the teacher in the new field being 'What?', 'How?', and 'Why?' By: Morgan Jeffries www.google.com Pierre Simon DeLaplace • Pierre Simon De La Place was born in Beaumont-en-Auge Normandy in 1749, In 1788 Pierre married Marie-Charlotte De Courty De Romanges on May 15, she was 20 years younger than him. A year later in 1789 his son was born. • Pierre went to school at the University of Caen and became an astronomer and a mathematician. His occupations were mathematician and politician. Pierre’s early published work in 1771 started with differential equations and finite differences but he was already starting to think about the mathematical and philosophical concepts of probability and statistics. Before his election to the academy in 1773, one of his papers “Mémoire sur la probabilité des causes par les événement” was published while his second paper was published in 1776. In 1776 Laplace published a memoir which he first explored the possible influences of a law of gravitation that did not act instantaneously. In 1784-1787 he published some memoirs of exceptional power. In 1784 “Théorie du Mouvement et de la figure elliptique des planets” was reprinted and the third volume of “Méchanique céleste” was also reprinted. In this he determined the attraction of a speroid on a particle outside it. This is the introduction into the analysis of spherical harmonics or “LaPlaces coefficients”. • • • Mechanic celeste is in a number of 5 volumes made by LaPlace. In 1799 the first two volumes are about calculating the motions of the planets, determining their figures and resolving tidal problems. In 1802 and 1805 the third and fourth volumes were published these gave applications of the methods and several astronomic tables. In 1825 the fifth and final volume was published it is about historical information. Pierre Simon de LaPlace died in 1827 on March 5 he was 77 when he died. • • By: Morgan Jeffries www.google.com Cartoon By: Morgan Jeffries. www.google.com Word Problem #5 • The total of apples on a tree is 27 apples there are 16 trees. At least 3 apples on every tree are rotten, 5 people pick at least 2 apple off every tree how many apples do u have left to sale? • By: Morgan Jeffries. Puzzle #5 Try to fill in the missing numbers. Use the numbers 1 through 9 to complete the equations. Each number is only used once. Each row is a math equation. Each column is a math equation. Remember that multiplication and division are performed before addition and subtraction. By: Morgan Jeffries www.delicious.com Answer Page Solution to W.P. #1 Solution to Puz. #1 Solution to Puz. #3 Solution to Puz. #5 There are 18 kids left on the playground. Solution to W.P. #2 The percentage of the students who rode the sky coaster was 27.6 and the percentage of the students who went to the arcade was 21.8. Solution to W.P. #3 4 hours $124$76=48 $48/12pr=4hours Solution to W.P. #4 $31.00 for the total amount. Solution for W.P. #5 224 apples. Solution to Puz. #2 Solution to Puz. #4