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 =
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
Swimming Problem Maths Investigation Introduction ============ A group of swimmers are following a training schedule that requires them to dive into the water and swim one length of the swimming pool. They must keep doing this until they have completed 20 lengths. For safety's sake they have been allocated a single lane of the pool and all the swimmers must swim in the same direction in single file. Half of the swimmers say that it will be quickest always to swim in the same direction
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
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
We use math every day and numbers can be applied to almost anything to predict events, outcomes or even someone’s actions based on probability. Math can even help locate criminals and be an important part in criminal investigations. Criminal geographic profiling is a way to locate a hot zone of where a serial killer may potential live based on locations of crimes. Image enhancement and reconstruction is a way of enhancing a photograph enough to be able to recognize significant markings to help
Investigating IQ Level and Key Stage Two Results I am going to look at two variables for my data handling investigation; IQ level and Key Stage two results. I am going to investigate whether a studentÂ’s level of IQ affects their attainment grades in their Key stage two tests. For my investigation I will be using data from Solent high school regarding 11-14 year old pupils. IQ is the ratio between a personÂ’s mental age (mental attainment based on the average age of a child at that level)
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
and space given to various items. I can find this information from a number of newspapers that I will buy in shops this should give me a good understanding of the information I need to retrieve in order to complete my investigation. Therefore to complete my investigation successfully I will need to work from three various newspapers these newspapers will be of different types. The newspapers are as follows : · A Tabloid Newspaper - The Mirror ·A Broadsheet Newspaper - The Guardian
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
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
T-totals Introduction For my T-totals maths coursework I will investigate the relationship between the T-total and T-number, the T-total and T-number and grid size and the T-shape in different positions. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
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
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
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
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
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]
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
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
children to read. Students have done more than just inspire him to write. Many have helped give him ideas. In Math Curse after her teacher tells her that almost everything has math involved in it; the narrator discovers how true the statement is as her world explodes into a giant math problem. Scieszka credits this idea to some of his "less accomplished" students and how they perceive math (Scieszka). Another source for his ideas comes from within his own house. His own daughter has unknowingly