T-Total.I aim to find out relationships between grid sizes and T shapes within the relative grids, and state and explain all generalizations I can find,
BRS Maths GCSE- T-Total Introduction In this investigation I aim to find out relationships between grid sizes and T shapes within the relative grids, and state and explain all generalizations I can find, using the T-Number (x) (the number at the bottom of the T-Shape), the grid size (g) to find the T-Total (t) (Total of all number added together in the T-Shape), with different grid sizes, translations, rotations, enlargements and combinations of all of the stated. Relations ships between T-number (x) and T-Total (t) on a 9x9 grid 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 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 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 From this we can see that the first T shape has a T number of 50 (highlighted), and the T-total (t) adds up to 187 (50 + 41 + 31 + 32 + 33). With the second T shape with a T number of 80, the T-total adds up to 337, straight away a trend can be seen of the larger the T number the larger the total. 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 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 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69
The aim of this investigation is to find out what influences the price of second hand cars.
MATHEMATICS COURSEWORK: Statistical data Use the information to investigate what influences the price of a second hand car Aim The aim of this investigation is to find out what influences the price of second hand cars. (used cars) Introduction Hypothesis The sample provided, includes a list of 100 cars that shows quantitative and qualitative data, such as Second Hand Price, Engine Size and Colour. To obtain my hypothesis, I carried out research in a car magazine called 'LOOT' and a website: www.autotrader.co.uk From this I found out that the most common cars reflected my sample and this was also a good indication of cars on the current market today. The magazine and website research gave me quantitative results. Therefore, my hypothesis and what I will investigate from this is: "The older the car in age and the more owners it has, the more cheaply the second hand price value is going to be." Also, I take into consideration that, "The less mileage the car has, the better condition and more expensive the car is. This more mileage the car has, the more likely chance of it being a cheap, second hand car." I chosen this as my hypothesis because, in reality that is what determines the price of car, For example, If a new car in age had a lot of owners, it would vary the second hand price of the car. This is compared to a the same car, but with fewer owners, it
Investigation of diagonal difference.
Maths coursework Investigating diagonal difference Aim: For this course work my task is to investigate the diagonal difference of different size cutouts on different size grids. 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 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 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 E.g. this is a 2x2 cutout on a 10x10 grid. Finding the diagonal difference of a cutout is achieved by finding the product of the bottom left corner and the top right corner, then the product of the bottom right corner and the top left corner and finally calculating the difference between these two products. 2 1 2 I will investigate the diagonal differences for cutouts anywhere on a grid and use algebra to prove any rules I may discover. I will log my results in a table to help me to find any formulas that may become apparent as I proceed. As I investigate this problem I will make appropriate predictions from rules I may discover from the table of results I produce, and from any patterns that can be seen. Method: I will start by investigating the diagonal difference of 2x2 cutouts on 10x10 grids. 2x2 cutouts What is
Mayfield High School
Mayfield High School Introduction I have decided to investigate the truth behind the theory that "Blonde haired, blue eyed people are better than others" brought out by Adolf Hitler. I will be trying to see if blonde haired, blue eyed I've decided to investigate "Are blonde-haired, blue-eyed people are generally better than people with other types of hair and eye colour. The concept of "aryanization" is a Nazi concept based on Hitler's ideology that the Aryan race is a master race, cleverer, more beautiful (in terms of females) and more muscular (in terms of males) than other races. I have decided to carry out an investigation to see if this true by looking at secondary school pupils. Mayfield High school is fictitious secondary school with records based on a real school. Using the student database, I will try to see if aryanization theory of the Nazis had any basis at all. Planning Mayfield High school has 1,183 students, of which 179 are blonde haired and blue eyed. There are 124 of these students in Key stage 3 and 55 students in Key Stage 4. I will be starting off with the students in Key Stage 3. This means I will be doing my research on students in Year 7 to Year 9. Secondly, I will research into the students of Key Stage 4, the students in Year 10 and Year 11. To do a proper investigation, I will have to take samples from each class. I will use the stratified
number grid
Algebraic Investigation 1: Square Boxes on a 10x10 Grid In this first investigation, the difference in products of the alternate corners of a square, equal-sided box on a 10x10 gridsquare will be investigated. It is believed that the products and their differences should demonstrate a constant pattern no matter what dimensions are used; as long as they remain equal. In order to prove this, both a numeric and algebraic method will be used in order to calculate this difference. The numeric method will help establish a baseline set of numbers for testing, and to help in the establishment of a set of algebraic formulae for use on an n x n gridsquare. In the example gridsquare below, the following method is used in order to calculate the difference between the products of opposite corners. (a) (b) (c) (d) Stage A: Top left number x Bottom right number = (a) multiplied by (d) Stage B: Bottom left number x Top right number = (c) multiplied by (b) Stage B - Stage A: (c)(b) - (a)(d) = The difference The overall, 10 x 10 grid that is used for the first investigation will be a standard, cardinal gridsquare, which progresses in increments of 1. The formulae calculated will mainly be applicable to this grid, as other formats of gridsquares will require others formulae to provide valid results. 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26
An investigation into the relationship between the height and weight of pupils at Mayfield school.
Ben Good Maths Coursework An investigation into the relationship between the height and weight of pupils at Mayfield school Introduction Mayfield School is a secondary school of 1183 pupils aged 11-16 years of age. For my data handling coursework I am going to investigate a line of enquiry from the pupils' data. Some of the options include; relationship between IQ and Key Stage 3 results, comparing hair colour and eye colour, but I have chosen to investigate the relationship between height and weight. One of the main reasons being that this line of enquiry means that my data will be continuous (numerical), allowing me to produce a more detailed analysis rather than eye or hair colour where I would be quite limited as to what I can do because the data is discrete. Pre-test We do a pre-test so we can see if there is any correlation between a persons height and weight because if no correlation is present. Then there is not any point in continuing with the investigation. There were many things that could have gone wrong when I was sampling the data. One of them was that I could have got an anomalous result and I did. The anomalous result I got was: 'Student: 914, Seymour Banks, 1.60m, 9kg' Seymour Banks is an anomalous result because he weighs 9kg. I overcame this by ignoring it and picking another pupil instead. I also picked the same pupil three times while randomly
Is there a difference between male and female conversational styles in today's society?
By Ashia Begum Candidate Number: 5541 Centre Number: 15247 A2/English Language Coursework Total Word Count: 3,659 Is there a difference between male and female conversational styles in today's society? Introduction Is there a difference between male and female conversational styles in today's society? My aim is to analyse whether the theories proposed by linguists that men are more dominant than women are in fact true of seventeen year olds today, or whether they are outdated due to changes in society e.g. gender roles and stereotypes. I have chosen this particular area of study as I find the way in which linguists categorise "gender talk" to be very intriguing. Gender differences are demonstrated in the way that males and females interact with each other during a conversational situation. It is a stereotyped belief that women talk a lot more than men; however some researchers (Fishman) have found that men talk twice as much as women in a mixed-sex conversation. Women are said to take a more co-operative approach during conversation, for example they make an effort to include others, and are more willing to discuss issues raised by others. Whereas men are likely to interrupt more, ignore others and are reluctant to talk about topics introduced by other people, consequently taking a competitive approach to conversation. I have looked at research in
Outline any differences between Tabloid and Broadsheet Newspapers in terms of word length, sentence construction/readability and the amount of text presented on the page.
Maths Coursework - Read All About It! Plan Aim The aim of this investigation is to outline any differences between Tabloid and Broadsheet Newspapers in terms of word length, sentence construction/readability and the amount of text presented on the page. I shall investigate the following three hypotheses: . There is less variation in word length in articles from tabloid newspapers than in articles from broadsheet newspapers. 2. More text is presented on a page (in proportion with size of page) in Broadsheet Newspapers than Tabloid Newspapers. (Ie. % of text on page) 3. Tabloid Newspapers give an "easier read" than Broadsheet Newspapers (lower reading age) The investigation will attempt to reach conclusions regarding these three specific hypotheses. In investigating these hypotheses a range of sampling methods, presentation of data, and statistical calculations will be used in order to interpret and evaluate the data and to come to a valid conclusion, drawing together all of the data. Each hypothesis will be presented and it will be explained what statistical methods will be involved in drawing conclusions for these hypotheses. In this investigation I shall collect my data from four different newspapers. I shall use two Tabloid newspapers and two Broadsheet newspapers to collect my data. I have chosen to do this so that I can draw accurate conclusions from my data,
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number grid investigation]
Algebraic Investigation 1: Square Boxes on a 10x10 Grid In this first investigation, the difference in products of the alternate corners of a square, equal-sided box on a 10x10 gridsquare will be investigated. It is believed that the products and their differences should demonstrate a constant pattern no matter what dimensions are used; as long as they remain equal. In order to prove this, both a numeric and algebraic method will be used in order to calculate this difference. The numeric method will help establish a baseline set of numbers for testing, and to help in the establishment of a set of algebraic formulae for use on an n x n gridsquare. In the example gridsquare below, the following method is used in order to calculate the difference between the products of opposite corners. (a) (b) (c) (d) Stage A: Top left number x Bottom right number = (a) multiplied by (d) Stage B: Bottom left number x Top right number = (c) multiplied by (b) Stage B - Stage A: (c)(b) - (a)(d) = The difference The overall, 10 x 10 grid that is used for the first investigation will be a standard, cardinal gridsquare, which progresses in increments of 1. The formulae calculated will mainly be applicable to this grid, as other formats of gridsquares will require others formulae to provide valid results. 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26
"Broadsheet newspapers have a longer average word length than tabloid newspapers"
Contents Page Investigation 1 o Hypothesis and plan for investigation o Word length frequency data tables o Frequency polygon graphs o Analysis of frequency polygon graphs o Conclusion of investigation 1 Investigation 2 o Hypothesis and plan for investigation o Reading age data tables and calculations o Conclusion of investigation 2 Investigation 3 o Hypothesis and plan for investigation o Cumulative frequency data tables o Cumulative frequency graphs and box and whisker diagrams o Standard deviation calculations and results o Analysis of graphs o Conclusion of investigation 3 Final Conclusion Investigation 1 Hypothesis 1 "Broadsheet newspapers have a longer average word length than tabloid newspapers" My theory is that broadsheet newspapers use a more complex style of language. In effect I think this will result in a longer average word length in a broadsheet than in a tabloid newspaper. Both newspapers will have a large amount of short word included in the articles, however, this can not be avoided due to the modern English language. I believe the articles in a broadsheet newspaper will have a higher average of longer words than in a tabloid. Although tabloids do contain some long words it will only be a fraction of long words that the broadsheet contains. I also think that the longest word counted in my investigation will be found in the broadsheet
