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Advanced Math Solutions - ... Solution: Line passing through the points is (5, - 5) and (4, 1). Equation of a line =. We know that, the equation of line is y = mx + c. m = slope, c = y-intercept. To find the equation of line, find out the m – slope and y-intercept values. Given points are (5,- 5) and (4, 1). (x1, y1) is (5,- 5) (x2, y2) is (4, 1) Slope m = (y2 - y1)/(x2 - x1) = (1 - (-5)) / (4 -5) = (1 + 5) / (-1) = 6 / (-1) Slope m = -6 Substitute m = -6 in the equation y = mx + c. Hence result as y = - 6x + c To find the y-intercept, substitute any given points in the equation....   [tags: Math] 878 words
(2.5 pages)
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Use of Math in Auto Racing -      Mathematics is found everywhere in life and work and auto racing is no exception. There are many applications of math in racing. The purpose of racing is to win and in order to do that there must be a lot of math involved. If you don’t use math and use it correctly then you will not win. Mathematics is involved in racing in two ways, the car setup and scoring an measurements. The car setup involves tire pressure, down force, wedge, aerodynamic Drag, camber, track bar and valance. The scoring system also uses math....   [tags: mathematics math car racing] 1265 words
(3.6 pages)
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The Fencing Problem - Math Coursework - The Fencing Problem - Math The task -------- A farmer has exactly 1000m of fencing; with it she wishes to fence off a level area of land. She is not concerned about the shape of the plot but it must have perimeter of 1000m. What she does wish to do is to fence off the plot of land which contains the maximun area. Investigate the shape/s of the plot of land that have the maximum area. Solution -------- Firstly I will look at 3 common shapes. These will be: ------------------------------------------------------ [IMAGE] A regular triangle for this task will have the following area: 1/2 b x h 1000m / 3 - 333.33 333.33 / 2 = 166.66 333.33² - 166.66² = 83331.11 Square root of 83331.11 = 288.67 288.67 x 166.66 = 48112.52² [IMAGE]A regular square for this task will have the following area: Each side = 250m 250m x 250m = 62500m² [IMAGE] A regular circle with a circumference of 1000m would give an area of: Pi x 2 x r = circumference Pi x 2 = circumference / r Circumference / (Pi x 2) = r Area = Pi x r² Area = Pi x (Circumference / (Pi x 2)) ² Pi x (1000m / (pi x 2)) ² = 79577.45m² I predict that for regular shapes the more sides the shape has the higher the area is....   [tags: Math Coursework Mathematics] 1134 words
(3.2 pages)
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Introduction to Solve Math Problems Deductive Reasoning - ... • Decompositional reasoning • Deductive reasoning • Exemplar reasoning • Inductive reasoning • Modal logic • Traditional logic • Pros-vs-cons reasoning • Set-based reasoning. • Systemic reasoning Example for Deductive Reasoning 1.To determine (a × b) × c is same as (c × b) × a always. Say yes or no. Explain your steps using deductive reasoning. Choices: A. Yes B. No Correct Answer: A Solution: Step 1: (a × b) × c = c × (a × b),here we are using commutative property of multiplication. Step 2: = c × (b × a), similarly we used commutative property of multiplication again....   [tags: Math] 508 words
(1.5 pages)
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Use of a Portfolio to Assess Students in Math and Science - Use of a Portfolio to Assess Students in Math and Science For a young child, going off to school can be an intimidating experience. Thoughts of whether the other children will like them, if they will have enough money to buy an ice cream at lunch, or if they will have homework that night overwhelms their minds. However, a major part of schooling is testing, and many children freeze when they hear that word. Think about yourself in a testing situation then imagine what it is like for a young child to feel this defeating anxiety....   [tags: Assessing Children Math Science]
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Math Facts - ... The push to master facts by a certain age and prior to moving on to more complex math is most controversial with parents and teachers of gifted students. These students are often thought to be bored by simple, basic math concepts. Although “some of the very highest areas of math do not require automaticity of basic math facts, they do require automaticity of the skills that fall somewhere in between them and single-digit addition, and that those skills are very difficult to master and to automatize when the basic stuff isn't firmly in place” (Yermish, 2011)....   [tags: Education, The Arithmetic Gap] 1877 words
(5.4 pages)
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Math Manipulatives - A Positive Outlook on Math Manipulatives Math manipulatives have been around for years, but are now becoming increasingly popular amongst educators. Math manipulatives include anything from buckets of pattern blocks, trays of tiles, and colored cubes to virtual manipulatives, or manipulatives colored and cut out by the students themselves. All of these materials can help assist in tangibly teaching children math concepts and by pulling math off the page and into the hands of students. For a child to be verbally and physically taught a math concept allows them to think, reason, and solve problems with the teacher's guidance as well as on their own....   [tags: Mathematics] 1007 words
(2.9 pages)
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Math Solutions - ... In mathematics, there are many chapters included such as number system, fraction, algebra, functions, trigonometry, integral, calculus, matrix, vector, geometry, graph etc. We can understand how to solve the problems using formulas and some operations. Let us discuss some important problems below in different concepts. Example problems – Solve math solutions manual Example problem 1 – Solve math solutions manual Simplify the expression: (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) Solution: In this problems, the given polynomials are (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) We need to simplify the given polynomial values First we need to arrange the given polynomial values = (5k2 - 8k + 6) + (3k2 + 5k - 4) - (2k2 + 6k + 8) Multiply the minus sign with the third parenthesis values = (5k2 - 8k + 6) + (3k2 + 5k - 4) + (- 2k2 - 6k - 8) = 5k2 - 8k + 6 + 3k2 + 5k – 4 - 2k2 - 6k - 8 = 5k2 - 8k + 6 + 3k2 + 5k – 4 - 2k2 - 6k – 8 = 5k2 + 3k2 - 2k2 - 8k + 5k - 6k + 6 – 4– 8 = (5k2 + 3k2 - 2k2) – (8k + 5k - 6k) + (6 – 4 – 8) Simplify the first parenthesis values = (6k2) – (8k + 5k - 6k) + (6 – 4 – 8) [5k2 + 3k2 - 2k2 = 6k2] Simplify the second parenthesis values = (6k2) – (7k) + (6 – 4 – 8) [8k + 5k - 6k = 7k] = (6k2) – (7k) + (-6) [6 – 4 – 8 = -6] = 6k2 -7k - 6 Answer: 6k2 -7k - 6 Example problem 2 – Solve math solutions manual If the value A = {21, 22, 23, 24, 25}, B = {25, 26, 27} and C = {27, 28, 29}, prove the distributive law....   [tags: Mathematics] 604 words
(1.7 pages)
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Math and Music - Math and Music When you listen to a piece of music you usually don’t think of math, but the two are interlinked and music always involves math even though we don’t always realize it. When musicians play music they are using mathematical formulas to play. There are formulas for making cords, scales and a formula for the what notes they play. Musical notation also involves math, you use time signatures while playing along to a piece of music which are basically just fractions, 3/4,7/4, and 4/4 are all time signatures....   [tags: Papers] 451 words
(1.3 pages)
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Egyptian Math - Egyptian Math      The use of organized mathematics in Egypt has been dated back to the third millennium BC. Egyptian mathematics was dominated by arithmetic, with an emphasis on measurement and calculation in geometry. With their vast knowledge of geometry, they were able to correctly calculate the areas of triangles, rectangles, and trapezoids and the volumes of figures such as bricks, cylinders, and pyramids. They were also able to build the Great Pyramid with extreme accuracy.      Early surveyors found that the maximum error in fixing the length of the sides was only 0.63 of an inch, or less than 1/14000 of the total length....   [tags: History Mathematics Research Papers]
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The History of Math - The History of Math Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, or as the science that draws necessary conclusions....   [tags: Mathematics Education Logic Numbers Essays] 4777 words
(13.6 pages)
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The History of Math - The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems. The basic of mathematics was inherited by the Greeks and independent by the Greeks beg the major Greek progress in mathematics was from 300 BC to 200 AD....   [tags: essays research papers] 810 words
(2.3 pages)
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Math Coursework - The Fencing Problem - The Fencing Problem There is a need to make a fence that is 1000m long. The area inside the fence has to have the maximum area. I am investigating which shape would give this. Rectangles: I am going to start investigating different shape rectangles, all which have a perimeter of 1000m. Below are 2 rectangles (not to scale) showing how different shapes with the same perimeter can have different areas. Here are some pure examples of what I have to accomplish with rectangles having perimeters of 1000 metres....   [tags: Math Coursework Mathematics] 2860 words
(8.2 pages)
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Math Coursework - The Fencing Problem - The Fencing Problem A farmer has 1000m of fencing and wants to fence off a plot of level land. She is not concerned about the shape of plot, but it must have a perimeter of 1000m. So it could be: [IMAGE] Or anything else with a perimeter (or circumference) of 1000m. She wishes to fence of the plot of land with the polygon with the biggest area. To find this I will find whether irregular shapes are larger than regular ones or visa versa. To do this I will find the area of irregular triangles and a regular triangle, irregular quadrilaterals and a regular square, this will prove whether irregular polygons are larger that regular polygons....   [tags: Math Coursework Mathematics] 909 words
(2.6 pages)
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Math Coursework - The Fencing Problem - The Fencing Problem Aim - to investigate which geometrical enclosed shape would give the largest area when given a set perimeter. In the following shapes I will use a perimeter of 1000m. I will start with the simplest polygon, a triangle. Since in a triangle there are 3 variables i.e. three sides which can be different. There is no way in linking all three together, by this I mean if one side is 200m then the other sides can be a range of things. I am going to fix a base and then draw numerous triangles off this base....   [tags: Math Coursework Mathematics] 1214 words
(3.5 pages)
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Math Coursework - The Fencing Problem - The Fencing Problem Introduction A farmer has exactly 1000 metres of fencing and wants to use it to fence a plot of level land. The farmer was not interested in any specific shape of fencing but demanded that the understated two criteria must be met: · The perimeter remains fixed at 1000 metres · It must fence the maximum area of land Different shapes of fence with the same perimeter can cover different areas. The difficulty is finding out which shape would cover the maximum area of land using the fencing with a fixed perimeter....   [tags: Math Coursework Mathematics] 657 words
(1.9 pages)
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Math And Owning A Restaraunt - Math is an essential asset in the business world. Without mathematics businesses wouldn’t be able to operate effectively. In order to run a restaurant math plays an important role in a lot of different areas. For instance the items on the menu may change due to the way it sells. Bookkeeping and math allow you to both figures out what items are profitable and what items are selling. The business world revolves around math, from profit and loss statements, to graphs, to taxes. Everything in business requires mathematics....   [tags: essays research papers] 788 words
(2.3 pages)
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my experiance with math - This course had forced me to analyze the psychological effects one’s negative thinking has in impacting the ability to embrace a situation that originally may be perceived as fear. My first obstacle with this course was to admit to myself that I had created my own fear of math. I had fully produced what I now view to be a huge challenge. The inevitable had finally arrived. I had postponed my taking this math class for close to ten years. I was now at age 29 sitting in a math class that I had avoided through out my collegial career....   [tags: essays research papers] 734 words
(2.1 pages)
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Gender Equity in Math and Science - Gender Equity in Math and Science From the research I have read while there is a disagreement on when and how much of a gender gap exists in math and science, there is definitely an equity issue that needs addressing. There seems to be an abundance of information about equity issues and as a future teacher I feel that it is important to examine these issues. If gender equity issues exist in today's’ classrooms why do they and what can be done to help correct it. Everything I've read so far states that a gender gap exists in science, while opinions about math vary....   [tags: Essays Papers]
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English Vs Math - English Vs. Math To most people English or Language Arts is a creative course and math is just a logical, you get it or you don’t class. My purpose writing this paper is to change your mind. I believe that Math is just as, or more creative than English. I will demonstrate this through a couple of examples. First, we must understand what is behind the creative aspect in English. Most people consider that English is the, ‘creative,’ subject because of titles such as ‘creative writing’ and ‘creative thinking’ and in contrast there is no creative something in math....   [tags: essays research papers] 636 words
(1.8 pages)
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Solving Math Solutions Manuals - ... We can understand how to solve the problems using formulas and some operations. We can solve the math problems easily without using any electronic devices. Let us discuss some important problems below in different concepts. Example problems – Solving math solutions manuals Example problem 1 – Solving math solutions manuals Simplify the expression: (3k2 - 14k - 10) - (12k2 + 8k – 3) + (7k2 + 4k - 5) Solution: The given polynomials are (3k2 - 14k - 10) - (12k2 + 8k – 3) + (7k2 + 4k - 5) In this problem, we need to simplify the given polynomial values First we need to arrange the given polynomial values = (3k2 - 14k - 10) - (12k2 + 8k – 3) + (7k2 + 4k - 5) Multiply the minus sign with the second parenthesis values = (3k2 - 14k - 10) + (- 12k2 - 8k + 3) + (7k2 + 4k - 5) Remove the parenthesis = 3k2 - 14k - 10 - 12k2 - 8k + 3 + 7k2 + 4k - 5 = 3k2 - 12k2 + 7k2 - 14k - 8k + 4k - 10 + 3 - 5 = (3k2 - 12k2 + 7k2) + (- 14k - 8k + 4k) + (- 10 + 3 – 5) Simplify the first parenthesis values = (- 2k2) – (14k - 8k + 4k) + (- 10 + 3 – 5) [3k2 - 12k2 + 7k2 = - 2k2] Simplify the second parenthesis values = (- 2k2) + (-18k) + (- 10 + 3 – 5) [- 14k - 8k + 4k = - 18k] = (- 2k2) + (-18k) + (- 12) [- 10 + 3 – 5 = - 12] = - 2k2 – 18k - 12 Answer: - 2k2 – 18k – 12 Example problem 2 – Solving math solutions manuals If the value A = {30, 40, 50, 60}, B = {50, 60, 70} and C = {70, 80, 90}, prove the distributive law....   [tags: Mathematics] 619 words
(1.8 pages)
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Math Changed My Life - College Admissions Essays - Math Changed My Life I enjoyed mathematics in grade school. When I started my high school mathematical studies with Calculus and Analytic Geometry, by George B. Thomas, a whole new vista opened to me. The mathematical concepts contained in this book combine with the principles of physics to form the basis for most engineering disciplines. There is a beauty to mathematical concepts presented in an orderly and intelligible way. This text challenged my imagination and my intellect....   [tags: College Admissions Essays] 182 words
(0.5 pages)
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Encouraging Girls in Math and Science - Encouraging Girls in Math and Science An ideal classroom in an elementary school would allow both boys and girls to learn fairly, equally, and also be encouraged to be involved in the classroom. The teacher would expect the same effort from the boys as well as the girls. The teacher would implement a respectful atmosphere where the teacher as well as the students would respect one another. The reality is that girls quickly become discouraged to pursue math and/or science related careers....   [tags: Essays Papers]
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Math Research Paper - Math Research Paper Since the 1980’s calculator use in the classroom has been a huge controversy between educators (Golden, 2000). It is becoming increasingly common to use calculators in the classroom on a regular basis. Some states allow students to use calculators on standardized tests and as part of the regular curriculum (Dion, 2001). Because we live in such a technologically changing world, hand held calculators have been far surpassed and can be purchased for as low as $4.00 each. This low price however, has not swayed the many people that believe calculators are not appropriate in the classroom....   [tags: Essays Papers]
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Women in the Math World - Women in the Math World Works Cited Not Included Math is commonly known as the man’s major. Many college math professors are men and the same goes for their students. "One study revealed that women accounted for 15% of students in computer science, 16% in electrical engineering,. . . Gender splits in the faculty were similar" (Cukier). There are few women that have made an impact on the math society compared with the number of men. A person can ramble off names such as Isaac Newton, Albert Einstein, Pythagoras of Samos, and Jean-François Niceron....   [tags: Papers Females Mathematics Essays] 1239 words
(3.5 pages)
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Exploring Philosophical Aspects of Math - Exploring Philosophical Aspects of Math Abstract: This essay neither examines a mathematical equation, nor does it analyze a distinguished mathematician. This essay explores a few philosophical aspects of math. Particularly, this essay covers the confound subjects covered by Zeno of Elea. The math world has been disturbed, agitated, and even titillated by the mysteries of Zeno of Elea's paradoxes in questioning the laws of math and science. A Paradox, defined by Webster's dictionary, is "A statement that seems contrary to common sense and yet is perhaps true." In taking his arguments at face value, they may seem very logical....   [tags: Papers] 1638 words
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The New Math of Gambling - The New Math of Gambling The article "The New Math of Gambling" in Discover Magazine May 2000 was an article that shows the use of software, math and a few hours of time to beat the house when gambling. These life stories and achievements the individuals have are truly remarkable and real. The article begins with Anthony Curtis who is a blackjack conqueror. He is a regular gambler at the Binion's Horseshoe tables in Las Vegas. He was once a rugby player turned publishing guru of the Huntington Press....   [tags: Papers] 511 words
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Math Is The Language Of The Un - Mathematics, the language of the universe, is one of the largest fields of study in the world today. With the roots of the math tree beginning in simple mathematics such as, one digit plus one digit, and one digit minus one digit, the tree of mathematics comes together in the more complex field of algebra to form the true base of calculations as the trunk. As we get higher, branches begin to form creating more specialized forms of numerical comprehension and schools of mathematical thought. Some examples of these are the applications into chemistry, economics and computers....   [tags: essays research papers] 1218 words
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Math in Medieval Times - Math in Medieval Times Math in Medieval times was evident at Stonehenge. Stonehenge and its purpose remains an mystery even now, more than 4,000 years after it was first constructed. It could have been a temple, an astronomical calendar, or guide to the heavens. Despite the fact that we don't know its purpose for certain, Stonehenge acts as a prehistoric timepiece, allowing us to theorize what it would have been like during the Neolithic Period, and who could have built this ancient wonder. Stonehenge stands on open land of the Salisbury Plain two miles west of the town of Amesbury, Wiltshire, in Southern England....   [tags: Papers] 640 words
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Math Lesson Plan - Grade Level: 4 Time: 40 minutes Subject: Math Topic: Dividing and Multiplying to Find Equivalent Fractions NY State Learning Standards: Mathematics, Science, and Technology Standard 1: Analysis, Inquiry, and Design • Students will use mathematical analysis and scientific inquiry to seek answers and develop solutions. Materials: Mathematics Textbooks (page 401) Notebooks Pencils Different colored chalk Objectives: Students will be able to name and write equivalent fractions by multiplying and dividing....   [tags: essays research papers] 344 words
(1 pages)
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Women in Science, Math, and Engineering - Women in Science, Math, and Engineering The statistics can be somewhat startling, while women receive 56% of BA degrees in the United States, they receive only 37% of the Science, Mathematics, and Engineering (SME) bachelor degrees (Chang, 1). As scary as the statistics on women are, they only point to an even bigger problem among all SME majors. According to one study, there is a 40% decline in the number of undergraduate science majors between the first and senior year of college (Didon, 336)....   [tags: Work Careers Papers]
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The Role of the Proof in Math - The Role of the Proof in Math The notion of proof has long played a key role in the study of mathematics. It is in my opinion the role of proof that separates mathematics from the sciences and other fields of study. It is the existence of proofs that give mathematicians the confidence that their work is credible and thus allows them to continue to build upon prior work without the need to second guess what has previously been accomplished. Based upon this observation, it becomes natural to ask the questions pertaining to the use of proof in learning and understanding mathematics....   [tags: Mathematics Mathematical Papers]
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Math Lesson Plan - Lesson Plan Guide Topic: Math (To investigate and explore multiplication facts) Objectives In this activity, students will investigate and explore multiplication facts. The students will: • Work in groups to device a plan for making a multiplication matrix • Construct a multiplication matrix • Reflect on the patterns they observe in the matrix Material For each group • 1 cm grid paper • full sheets of paper • glue • scissors For the class • 36” X 48” butcher paper Preparation • Make approximately 10 copies of 1 cm grid paper on colored paper for each group of students....   [tags: essays research papers] 493 words
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Math Fencing Project - Math Fencing Project I have to find the maximum area for a given perimeter (1000m) in this project. I am going to start examining the rectangle because it is by far the easiest shape to work with and is used lots in places (most things use rectangles for design- basic cube .etc). To start with what type of rectangle gives the best result. A regular square or an irregular oblong. I start by having 4 individual squares. [IMAGE] [IMAGE] [IMAGE] [IMAGE] [IMAGE][IMAGE] Goes to [IMAGE] [IMAGE] Regular square irregular oblong Now look at how many sides are exposed on each shape- Ã¥ sides of each cube internal1 Ã¥ sides of each cube internal2 [IMAGE][IMAGE]Ratio for square = ratio for oblong = Ã¥ sides of each cube exposed1 Ã¥ sides of each cube exposed2 2 ´4 (1 ´ 2) + (2 ´ 2) [IMAGE][IMAGE] = = 2 ´ 4 (3 ´ 2) + (2 ´ 2) = 1 = 0.6 This can be further done by having more squares (to show that the more irregular a square is the less area it has for that given perimeter....   [tags: Papers] 1125 words
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The Shopkeeper's Theory of Math - The Shopkeeper's Theory of Math Introduction I am going to investigate the shopkeeper's theory - "When the area of the base is the same as the area of the four sides, the volume of the tray will be a maximum"-. A net of a tray made from a piece of card measuring 18cm by 18cm is shown below: [IMAGE] [IMAGE][IMAGE][IMAGE][IMAGE][IMAGE][IMAGE][IMAGE][IMAGE]In order to investigate whether his theory is right or wrong, I will vary the size of the corner that is being cut off in the 18 x 18 card....   [tags: Papers] 1200 words
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Beyond Pythagoras Math Investigation - Beyond Pythagoras Math Investigation Pythagoras Theorem: Pythagoras states that in any right angled triangle of sides 'a', 'b' and 'c' (a being the shortest side, c the hypotenuse): a2 + b2 = c2 [IMAGE] E.g. 1. 32 + 42= 52 9 + 16 = 25 52 = 25 2. 52+ 122= 132 3. 72 + 242 = 252 25 + 144 = 169 49 + 576 = 625 132 = 169 252 = 625 All the above examples are using an odd number for 'a'. It can however, work with an even number. E.g. 1. 102 + 242= 262 100 + 576 = 676 262 = 676 N.B....   [tags: Papers] 1011 words
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Math Investigation of Painted Cubes - Math Investigation of Painted Cubes Introduction ============ I was given a brief to investigate the number of faces on a cube, which measured 20 small cubes by 20 small cubes by 20 small cubes (20 x 20 x 20) To do this, I had to imagine that there was a very large cube, which had had its outer surface painted red. When it was dry, the large cube was cut up into the smaller cubes, all 8000 of them. From there, I had to answer the question, 'How many of the small cubes will have no red faces, one red face, two red faces, and three faces?' From this, I hope to find a formula to work out the number of different faces on a cube sized 'n x n x n'....   [tags: Papers] 2967 words
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Math Statistics Project - Math Statistics Project My main factor I am investigating is going to be weight. For the majority I aim to investigate the effect of weight on height. I am also going to look at the frequency of different weight groups among people. · The height will be measured in cm. I will keep it continuous by not asking the people to place their heights into groups, but instead enter their heights. This will be Quantitive data. · The weight will be measured in cm. I will keep it continuous by not asking the people to place their weights into groups, but instead enter their weights....   [tags: Papers] 2534 words
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Math’s Coursework - Math’s Coursework Statistics Planning Investigation I have been given a survey of the Boy’s of the Oratory School. The survey consists of the boy’s pulse, height and weight. I have made two hypotheses: 1. The lower the pulse, the taller you are. 2. The taller you are, the higher your weight is. My reasons behind hypotheses 1 is because the lower your pulse normally means you are fit and sporty, most sporty people are reasonably tall. My reason behind hypotheses number 2 is because you are bigger and therefore should have a reasonable amount of weight compared to someone who isn’t that tall....   [tags: Papers] 804 words
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Math Borders Investigation - Math Borders Investigation Figure below shows a dark cross-shape that has been surrounded by white squares to create a bigger cross-shape; The bigger cross-shape consists of 25 small squares in total. ------------------------------------------------------------- The next cross-shape is always made by surrounding the previous cross-shape with small squares. Part 1- Investigate to see how many squares would be needed to make any cross-shape built in this way. Part 2- Extend your investigation to 3 dimensions....   [tags: Papers] 1602 words
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Math Hidden Faces Investigation - Math Hidden Faces Investigation In this coursework I would be investigating the number of hidden faces in different cubes and cuboids. I would provide predictions to make sure I get the right results. After that I would provide diagrams of the cubes and I would explain how I found it. In each section of a set of cubes I would provide formula's that I would find. I would also give information that the pattern carries on. The reason why I am doing this investigation about cubes is because to find the hidden faces and total faces which would be added near the diagrams....   [tags: Papers] 1036 words
(3 pages)
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Core Math Investigation - Core Math Investigation 1) When x is more than 0 and increases (e.g. from 5 to 6), y increases at a much faster rate and becomes very big. When x increases when it is less then 0 (e.g. from –10 to –9), y increases very slowly. 2) (i) The value of a affects the value of x proportionally. For example we can compare the equations y = 1 + 2x and y = 5 + 2x. In the second equation, the value of a has been change to 5. As we can see from the results in Tables 1 and 2, all the values of y for y = 5 + 2x are greater by 4, when x is the same....   [tags: Papers] 713 words
(2 pages)
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Integrating Science and Math Into The Classroom - ... This unit also provided activities for the students to construct models, by having the students make clay apple to make fractions from the story, and by having the student construct a model of the apple life cycle. Differentiation Strategies Tomlinson, 2003 defines differentiated instruction is as, “when a teacher proactively plans varied approaches to what students need to learn, how they will learn it, and/or how they can express what they have learned in order to increase the likelihood that each student will learn as much as he or she can as efficiently as possible” (p....   [tags: Education ]
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“Writing to Learn” in a Math Classroom - ... Second, these activities allow students to clarify their learning and they engage students in the lessons (Vacca et al., 2011). Through these small writing activities, students can write freely, without much emphasis on spelling or grammar, but rather on their understanding of the subject matter in their own words. Furthermore, it allows students to investigate and make sense of their learning through writing. Lastly, “write to learn” activities allow all students, specifically English Learners, practice English writing skills and vocabulary in multiple contexts....   [tags: Education, mathematics]
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Math - How the Renaissance had an effect on western Europe The Renaissance was significant on the development of Western Europe and the Impact it had was immense. The Renaissance not only influenced the worlds of art, music, and literature, but also the worlds of politics, religion, and society. During the Renaissance, advancements were made in several areas of technology and in thought. The Renaissance was a key in the development of Western Civilization. The Renaissance is a term that was coined in the 19th century to describe a period in which art and literature flourished in Europe, but there were so many significant changes during this time period that the term Renaissance began to mean all the developments during this time period....   [tags: essays research papers fc]
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Math - Why We Have Computers Input/Output Because computers can display and deal with text, they offer “communication with human beings—communication that far surpasses the numeric display of the common desktop calculator. This communication is achieved through input/output, or I/O. I/O provides the basis for all the work the computer does. Computers work by dealing with data. You put data into the computer, and it spits something useful back out, for example: Word Processing: You input text and manipulate it by using word processing software....   [tags: essays research papers] 374 words
(1.1 pages)
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Sex, Math and Science: Exploring the Gender Gap in Math and Science - ... They point to several ways in which one’s identity may be threatened which included the fear of being discriminated, ratifying harmful stereotypes or worse being unappreciated and underrepresented in the STEM field (477). They conclude that despite the fact that there are other social factors which explain one’s interest in a field, their research points to having a sense of likeness to the people within the same discipline as a key predictor of females interest in that field (484). In the same way, Sapna Cheryan in "Understanding the Paradox in Math-Related Fields: Why Do Some Gender Gaps Remain While Others Do Not?" (2012) puts forward that despite the fact that women are excelling in math in the classroom, there is still a gap in the number of women in math related fields....   [tags: Education]
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Math strategies for special education students - ... The math instruction using the EAI method used a video anchor to enhance instruction. The use of technology in EAI provides students with learning disabilities access to a wide range of math tasks that previously were unattainable due to learning deficits (Maccini & Strickland, 2010). The video gave students a visual representation of the types of math problems they were working on. Students were allowed time to discuss how they might best solve each math problem. If they had difficulty understanding how to go about MATH STRATEGIES FOR SPECIAL EDUCATION STUDENTS solving a problem the teacher would intervene and provide more detailed instruction....   [tags: Education]
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Male Superiority In Math: Fact or Fiction? - Male Superiority In Math: Fact or Fiction. One true mystery of mathematics is the small number of female mathematicians. When most people think of mathematicians, they automatically assume that they are male. This leads to the idea that boys are mathematically superior to girls, which has long been a popular belief. Recent studies, however, may prove this to be wrong. The fact is that there are numerous female mathematicians who have made very important contributions to the mathematical world throughout history....   [tags: Argumentative Persuasive Papers]
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My Math Teacher, Mrs. Ladd - My Math Teacher, Mrs. Ladd When thinking back and remembering all of the teachers that I have had in the past, there is one in particular that comes to mind. Her name was Mrs. Ladd. She taught math at the junior high school. Mrs. Ladd was not the most popular, funniest, hardest, easiest, nicest, nor the meanest teacher. I remember her for some other reasons. When I think of Mrs. Ladd, I think about how hard she made me work. But I also think about how she made me challenge myself. Most of all, I remember how she influenced me....   [tags: Personal Narratives Mathematics Essays] 1867 words
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Math Perceptions of Taiwanese and American children - Article Critique The objective of this article critique is to review and evaluate several empirical studies which have examined mathematics perception cross-culturally. The main study that focuses on examining mathematics perception cross-culturally is a study that was done in 2004 by Dr. Yea-Ling Tsao. In this study, researchers proved that Taiwanese students consistently score higher in cross-national studies of achievement than American students. Several other studies were done that also support this theory....   [tags: essays research papers fc]
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Looking at Different Shapes - Math Problem - Looking at Different Shapes - Math Problem For this investigation, I will be looking at different shapes, and the areas the different shapes give. The exact question is: 'A farmer has exactly 1000m of fencing, and wants to fence off a plot of level land. She is not concerned about the shape of the plot, but it must have a perimeter of 1000m. She wishes to fence of the area of land, which contains the maximum area. Investigate the shapes that could be used to fence in the maximum area using exactly 1000m of fencing each time....   [tags: Papers] 1807 words
(5.2 pages)
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Are Asians More Proficient in Math and Science - Minorities will increasingly surpass Whites in the labor force, which not only means they will significantly impact the trend of the economy, but will, also, become critical for recruiting in high demand industries. Minorities had better opportunities to prosper than they had in the past, which allowed US to reach an eminent moment of electing their first African-American President and appointing their first Hispanic Supreme Court justice. Many minorities are increasingly educated and participating in business, science, and technical innovation as well as, enjoying their middle to high income status....   [tags: American Education] 813 words
(2.3 pages)
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Differences in Math Learning and Aptitude Between Boys and Girls - Differences in Math Learning and Aptitude Between Boys and Girls The topic of my research has been differences in math learning and aptitude between boys and girls. This topic was suggested to me by my mentor, Mike Millo, as it is of particular interest to him. Mr. Millo is an Algebra teacher at Ball High. Much has been made of gender differences in math by the popular media and Mr. Millo felt that it would be interesting to examine this topic and explore the findings of educational researchers....   [tags: Papers] 1550 words
(4.4 pages)
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The Correlation Between Music and Math: A Neurobiology Perspective - The Correlation Between Music and Math: A Neurobiology Perspective I remember the first time I heard the statement ¡° Did you know that listening to classical music enhances your mathematical abilities?¡± I was both intrigued and excited, intrigued because I did not understand how music and math, two seemingly unrelated subject could possibly affect each other. I was also excited because I began to view classical music as some kind of magical potion that would transform my math skills from decent to extraordinary....   [tags: Biology Essays Research Papers]
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What I’ve Learned About Math Operations - ... If a problem is 32 – 16, one of the three tens must be broken up into units in order to subtract; being able to see 32 as 3 tens and 2 ones and as 2 tens and 12 ones is what makes the problem doable. Place value and unitizing have much to do with a comprehension of base ten, but they are not singular to base ten. One could apply the idea of place value and unitizing to base five for example. The number 18510 would be written as 12205. The place values would then be 125, 25, 5, and 1 (instead of 1000, 100, 10, and 1), and 12205 would be understood as one 125, two 25s, and two 5s....   [tags: Education, Mathematics]
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Investigating the Relationship Between English and Math Scores of Students - Investigating the Relationship Between English and Math Scores of Students Task: To investigate the relationship between the results in Maths and English of the students in Key Stage 4 at Mayfield High School Plan: To investigate two questions related to the relationship between the results in the key stage 2 Maths and English Sats of students in KS4 at Mayfield high school 1. Do students who do well in Maths also do well in English 2. Do girls do better than boys in maths and English I am going to take a large sample, 60 (5-10 % of the total) of the students in MayfieldHigh School....   [tags: Papers] 623 words
(1.8 pages)
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United States vs. Japan in Math and Science - Over the years, tests have determined that the United States has not improved in math and science compared to Japan. Both countries have a different approach towards school. This might be the reason why American students are doing so poorly in math and science. American education should be compared to Japanese so that both can learn from each other because even though American scores are down they still have great ways to educate students. Differences that they have are ability vs. effect, teaching techniques, and parenting....   [tags: American Education, Japanese Education] 862 words
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Why is Gender Inequity an Issue in Math and Science Classrooms? - Why is Gender Inequity an Issue in Math and Science Classrooms. Gender Inequity has been a growing subject in America’s schools, especially in the fields of math and science. Gender is defined as sexual identity, especially in relation to society or culture (Lexico, 2001) Inequity is defined as injustice; unfairness (Lexico, 2001). Gender Inequity in our schools has been based on the findings that females aren’t getting the attention and grades required for them to do well in math and science. Why is this and what can we do about it....   [tags: ] 2197 words
(6.3 pages)
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Secondary Math: Video- Variables and Patterns of Change - Secondary Math: Video- Variables and Patterns of Change Variables and Patterns of Change video (Annenberg Media, 2004) follows two teachers, Ms. Green and Ms. Novak, as they begin their school year teaching high school math. Throughout my paper, I plan to show the elements of a non-threatening learning environment as well as the importance of having a non-threatening learning environment. Additionally, I will discuss the similarities and differences between the teacher’s methods in the video. I will explain how the methods are effective and how I would expand on their class lessons....   [tags: Educationi] 884 words
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Investigating the Relationship Between the Ability in Math and Science of Students - Investigating the Relationship Between the Ability in Math and Science of Students I would like to know whether there is a link between ability in Maths and in Science in the Year 7, 8 and 9 students at Mayfield High School. My initial thoughts are that there is a link between the two because Maths and Science share some of the same attributes - they both involve formulae, they both require logical ability, and they both use numbers. Furthermore, I think that someone with an interest in Maths will also have an interest in Science, and so will probably work hard at both....   [tags: Papers] 10223 words
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Special Education Students' Placement and Performance Outcomes on Math Assessments - ... Yang, Shaftel, Glasnapp, and Poggio (2005), reported that students across all disability categories are more alike than different when using general mathematical skills. Cole, Mills, Dale, and Jenkins (1991) had previously suggested that different instructional strategies were not necessary for students with aptitude differences, but these strategies were needed for cognitive functioning deficits. A further consideration of these findings could be the lack of content knowledge special education teachers possess in the area of mathematics and would make one wonder if a resource room is not an Special Education Students' Placement and Performance Outcomes on Math Assessments academic placement for special education students with the cognitive ability to be successful in a general education classroom especially in the area of mathematic instruction. Statement of the Hypothesis: Previous limited research has shown special education students perform at higher proficiency rates when instructed by a teacher that is highly qualified in a given subject area....   [tags: Special Education ]
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Group Project Analysis: Creating a Board Game that Teaches Math and Vocabulary Skills - THE IDEA (Day One): Creating a Board Game that teaches math and vocabulary skills. Similar to Monopoly, which uses a spinner, cards, and a game board will various squares, our game board will have squares color coated to various subjects (blue for math, yellow for English/vocabulary, green for science, and red for Social Studies/History). The child would would spin the spinner and, having a marker in the shape of a car, would move the appropriate number of squares that it says on the spinner (for example, if you spin a three on the spinner, you move three spaces forward)....   [tags: elementary education, early education, ] 927 words
(2.6 pages)
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Massage Therapy Reduces Anxiety and Enhances EEG Patterns of Alertness and Math Computations - ... Math computations were measured by giving the subjects 7 numbers before the massage and 7 different numbers given after and the subject was asked to add them together. The time it took to solve the question and its accuracy was recorded. To measure the EEG patterns were one of the most important variables in the study. The subjects put on a special cap, called the Lycra stretchable cap, used you measure delta, alpha, beta, and theta. To prevent data from having an incorrect reading, the subjects had to fill out two questionnaire forms....   [tags: Health]
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The Great Pyramid at Giza: The Use of Advanced Math and Science Within its Design - ... Ultimately, without the technological advances of ramps, coupled with pulleys and other systems, this would have been an immensely difficult or impossible task, and would have taken many more workers and hours. As a result of these advances, the Egyptians have created one of the most intriguing and interesting structures of the past. Another component involving mathematics and science is found less in the physical construction, but within the design. When looking at the pyramid, its profile can be broken into two similar, right triangles when split in half [Figure #3]....   [tags: Architecture]
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Statement of Purpose: My Interests in Math, Physics, Statistics and Computer Science - ... Accordingly, I received admiration from family and friends from this struggling process of adaptation. Day by day, I wrote programs, dealt with errors, rewrote programs, over and over again. The process was dull and offered no glorious anecdotes. It was the time I spent working on the most fundamental problems and the piles of books borrowed from the library that constituted the foundation of my future progress. During the debugging and reviewing, I gradually adjusted to the logic of machine, which enables me to handle different programming languages with more haste....   [tags: Educational Goals, application essays] 1012 words
(2.9 pages)
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Math History - Mathematics starts with counting. It is not reasonable, however, to suggest that early counting was mathematics. Only when some record of the counting was kept and, therefore, some representation of numbers occurred can mathematics be said to have started. In Babylonia mathematics developed from 2000 BC. Earlier a place value notation number system had evolved over a lengthy period with a number base of 60. It allowed arbitrarily large numbers and fractions to be represented and so proved to be the foundation of more high powered mathematical development....   [tags: essays research papers] 2043 words
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Math in life - In the last few centuries, the number of people living on Earth has increased many times over. By the year 2000, there will be 10 times more people on Earth than there were 300 years ago. How can population grow so fast. Think of a family tree. At the top are 2 parents, and beneath them the children they had. Listed beneath those children are the children they had, and so on and so on, down through each generation. As long as the family members continue to reproduce, the family tree continues to increase in size, getting larger with each passing generation....   [tags: essays research papers] 504 words
(1.4 pages)
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math lesson - Lesson Plan Title: Alexander, Who Used to Be Rich Last Sunday: Understanding Opportunity Costs Grade Level:2, 3, or 6th Duration: three 50-minute class periods Student Goal: To understand that there is an opportunity cost to every economic decision and that these costs come as a result of limited resources. Student Objectives Students will: • Identify "opportunity costs" in the story and in their own lives. • Create an opportunity costs bar graph as a whole class. • Complete a table of personal spending and savings information....   [tags: essays research papers] 1724 words
(4.9 pages)
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Strategic Plan to Develop Student Interest in Science, Technology, Engineering, and Math Related Careers - Strategic Plan to Develop Student Interest in Science, Technology, Engineering, and Math Related Careers Success in K-12 math and science classes has a direct effect on student’s decision to pursue careers in engineering and technology. In a recent International assessment conducted by the Organization for Economic Co-operation and Development (OECD) there were some unacceptable statistics released about the United States schools. The results of this latest research place the United States 25th out of 30 OECD countries in math achievement among 15-year-olds and 21st in science achievement (Nagel, 2007)....   [tags: Education Students Teaching] 1064 words
(3 pages)
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Classroom Observation: Applying Danielson's Domains to the Math Education Classes Which I Observed - ... Albert Einstein once said, “The most incomprehensible thing about the universe is that it is comprehensible.” Getting kids to love math is indeed a very high goal, but luckily there are many more reasons I want to teach. Another influence is in high school, I had great math teachers. It was senior year when I asked my Calculus teacher why we had to work through such complicated problems after we had already grasped the concept. He told me that it wasn’t at all about coming up with the right answer....   [tags: child observation, teacher observation, teaching] 955 words
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business math paper - Annuities Businesses, financial institution, and other organizations invest in annuities to raise money to pay such expenses as bond debts, notes due, or stock dividends. They also invest in annuities to provide for future needs, such as new facilities and equipment or employee retirement benefits. Individuals may purchase annuities, such as an Individual Retirement Account (IRA), or an insurance policy, from insurance companies, financial institutions, or securities brokers. An ordinary annuity is a series of regular payments where each payment is made at the end of the payment period....   [tags: essays research papers] 982 words
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math graph story - Between study group, debate, and chess tournaments there wasn’t much of a social scene around Winchester University in Omaha, Nebraska. The school year at this college was year round, but the students were given a 30 day summer vacation in July. The majority of the students went back home to visit their families during this time. But as juniors at the University Charles, Fredrick, and Stanley, all childhood buddies, decided it was time for a change and that they needed a little more spice in their life....   [tags: essays research papers] 1275 words
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Micheal Redkin and Math Basics - In order to create a graph such as the one Ms. Redkin uses to calculate the depreciation of her rental house, first it must be determined which part of the information given is the dependant variable and which is the independent variable. In this case the independent variable is time (in years), and the dependent the value of the house. Next create a graph with the given data, the independent variables on the x-axis and the dependent on the y. Graph and label the given data as points (4 yrs, $64000) and (7 yrs, $52000), allow the graph to represent the house’s value from when it was new to 10 years after its purchase....   [tags: essays research papers] 593 words
(1.7 pages)
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Applications of Prisms and Math - Missing Figures Prisms and their Applications Introduction A prism is one or several blocks of glass, through which light passes and refracts and reflects off its straight surfaces. Prisms are used in two fundamentally different ways. One is changing the orientation, location, etc. of an image or its parts, and another is dispersing light as in a refractometers and spectrographic equipment. This project will only deal with the first use. Consider an image projected onto a screen with parallel rays of light, as opposed to an image formed by the same rays that are passed through a cubic prism (assume that the amount of light that is reflected is negligible)....   [tags: Mathematics] 2309 words
(6.6 pages)
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Solution of the Cubic Equation - ... His scars were covered in adulthood with a beard, but the stammering that resulted persisted throughout his life. Tartaglia learned mathematics on his own for many years until a patron made possible some study at Padua. This education gave Tartaglia a high sense of pride that others often resented. For a while, he was merely a mathematics teacher but gained fame by participating in local contests. As was common in this age, Fior challenged Tartaglia to a public mathematics contest in 1535. Each would propose questions to the other in the hopes of solving more than his opponent within a given time period (here, 40 to 50 days)....   [tags: Math] 975 words
(2.8 pages)
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Trigonometry in Daily Life - ... Trigonometry is arty of science can be used to measure the height of mountain very easily. This is the basement information to aircraft designing and navigation, overly technical think the time last took a vacation at a hill station. In daily life medical conditions that prevent them from traveling to very large altitudes. Supposing it is unlikely that one will ever need to directly apply a trigonometric function in solving a practical issue, the underused background of the science finds usage in an area which is passion for more - music....   [tags: Math ]
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The History of Mathematics in Africa - ... However, the Ishango bone appears to be much more than a simple tally. The markings contain the prime numbers between 10 and 20.” Around 7000 BC, people in Egypt and further south in Sudan began to use clay tokens to count things. They probably got the idea from West Asia, where people began using tokens earlier. “Thus by this early period in the development of civilization, humans' mnemonic devices were already forming. The bones, discovered in the late 60s and early 70s, uses a method of marking, in which an elongated stick or bone was engraved with a series of marks, offering an analog measure of individual events.” By 3000 BC, people in Egypt were using hieroglyphs to write numbers....   [tags: Math ]
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Human Vision and the Eye - ABOUT THE EYE Human eyes receive and form images from outside, also automatically changes in light and seeing things close up and at a distance. Therefore, we can see most of things from outside world. But without light, we can't see anything. Light travels though space and the sun gives off light rays then enter the eyes they are bent or refracted and these light rays create images or picture of all the objects around you, that's why we can see things very clearly. How light enter the eye, first light enters the eye though pupil which control different amounts of light into our eye....   [tags: Math] 574 words
(1.6 pages)
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Chaotic Behavior Of The Logistic Equation - ... Given the number N(0) of members of the population at time k = 0, the number of members at time k is N(k) = (1 + ¾)kN(0): (3) The eqution(3) predicts the exponential growth of the population. In a more realistic situation, let b be the birth rate, then the number of births at time k is bN(k). Assuming the number of deaths proportionals to the population size , let d be the death rate; then the number of deaths at time k id dN(k). The change in population in a time period between times k and k + 1 is N(k + 1) ¡ N(k) = bN(k) ¡ dN(k): (4) This can rewritten as N(k + 1) = (1 + b ¡ d)N(k): (5) Let ¾ = b ¡ d: Then, equation(5)s the same form as equation(2)....   [tags: Math]
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