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I believe this will be similar for all grid sizes; I will try it out with grid size 7. I am now going to find the formula for the 6x6 grid. This will be tried on a smaller grid size to make sure it is not if the grid size is bigger. As the T shape moves down one square, 8 is added as that is the amount of squares moved.

Therefore, to move down more than one square, 5 as there are 5 squares in the T will have to be multiplied by the grid size and the amount of squares moving down. Want to read the rest? Sign up to view the whole essay and download the PDF for anytime access on your computer, tablet or smartphone. Don't have an account yet? Create one now!

Already have an account? Log in now! JavaScript seem to be disabled in your browser. You must have JavaScript enabled in your browser to utilize the functionality of this website. Join over 1. Page 1. Save View my saved documents Submit similar document. Share this Facebook. T-Total Maths coursework. Extracts from this document Page of. Found what you're looking for? Not the one? Search for your essay title Aim: To find the In this section there is an investigation between the t-total and the t-number.

I will take steps to find formulae for changing the position of the T - Total. Looking at the grid below and the T-shape drawn on See more essays. Over , pieces of student written work Annotated by experienced teachers Ideas and feedback to improve your own work.

Save Sign up now Want to read the rest? Read more The above preview is unformatted text. Looking for expert help with your Maths work? Take me to free Study Guides. Or get inspiration from these FREE essays:. French Holidays 4 star s. From each T shape we can also create a rule for the t-total in relation to the T-number. To do this we must first describe all the numbers in the T shape in terms of n. When described in terms of n, Each number becomeseven though this is a very simple way of expressing the numbers in terms of n when tested with all other possibilities on the grid it gives correct answers every time, this is because when you take any number on the 9x9 grid, there is a formula for working each number that is touching it.

Take for example the number The number directly above any number is always 9 less than it The number to the left of because the grid is 9 numbers long. The number directly below any number is always 9 more than it because the grid is 9 numbers long.

Using these formulae we can see that the relationship of each number inside the T to the T-number will always be constant. By adding up each of the numbers in the T shape we get a formula that will give us the relation of each T shape when given the T-number. Changing the size of the grid In this part of the investigation I will investigate different dimensions of grids other than 9x9 grid. As before we can see the pattern emerging of when the t-number is increased by one the t-total is increased by five.

This is for the same reasons as with the previous investigation. This term to term rule will be identical for any size grid providing that the T shape contains only 5 squares, this is because as the T number is increased all the 4 squares increase by the same value, causing an increase of 5 in the T-total with every increase of 1 to the T-number. The reasons for this are identical to that of the 9x9 grid, taking into account that the grid is now 10x10 so any number directly above or below any other number will be 10 less or 10 more respectively.

Now that the term-to-term rule has been generalised for any grid size I will now investigate a generalised rule to link the grid size, the t-total and the t-number. Below is a table listing the grid size, and the rule that links the t-total and the tnumber for that size of grid.

These have been worked out using the same principals as used to find out the relationships in a 9x9 and a 10x10 grid. The reason for this can be explained using the same method as for a 9x9 grid. The number directly above any number is always the width of the grid less than the number below because there are g numbers between them.

The number to the left of any number will always be one less than it because the numbers are arranged in ascending order. The number to the right of any number will always be one less than it because the numbers are arranged in ascending order.

The number directly below any number is always the width of the grid greater than the number above. Using this it is possible to re arrange the formulae so that the T-number is the subject. From this we are able to link the grid size, t-total and t-number. Using all previous information, we can create a rule that gives the t-total of a t-shape when it is translated through a vector of a,b this means the t-shape is translated a squares across and b squares down.

I have used this instead of the usual vector notation, because there is no simple way of createing it using none specialised software. When the t-shape is moved one square across the t-number increases by one, when the t-shape is moved down one, the t-number increases by the width of the grid. Transformations In this part of the investigation I am going to use rotations of the T-shape about a point of the vectors a,b from the t-numbers square.

Firstly I will rotate the T shape thought 90o in a clockwise direction. Open navigation menu. Close suggestions Search Search. User Settings. Skip carousel. Carousel Previous. Carousel Next. What is Scribd? Uploaded by wibblethegreat. Original Title T-total.

Did you find this document useful? Is this content inappropriate? Report this Document. Description: GCSE maths level practice coursework. Flag for inappropriate content. Download now.

For Tutors. GCSE catch up course. For Schools. You will have a dedicated tutor to support you throughout This course has no coursework or controlled assessment. You will need to do a substantial amount of work in your own time. This is what the exams consist of: Coursework 1- ….

It can also be a requirement for some degree level studies and employment opportunities such as teaching. Become a Tutor. Completing this course will help you to:. Although not an entry requirement, this course is particularly suitable for students who have studied GCSE Business Studies as this specification builds on the concepts and skills they have already learned Helen Dickinson Maths GCSE Course The course materials were very good and were suitable for a 'rusty' student.

We recommend studying these over 4 to 8 consecutive weeks. Probability and Statistics 5. The syllabus aims to: Develop your understanding of ratios and averages; Understand how to …. See related essays. The formula works in all the exemplary cases. The formula works because when the 5 terms in a given. I also predict that next pattern will have 28 white squares as the number of white squares seem go up in multiples of 4 another 4 white squares added on for each pattern.

So each time we move the E one space to the right, the total goes up by Another way of approaching this is to look at the differences between the totals again. For the total number of squares: 1 7 25 63 6 18 38 66 12 20 28 8 8 This shows there is a cubic relation between the totals, which can be found by.

If the fourth row had not indicated a constant number pattern i. This essay has been marked by a teacher! Sign up to view the whole essay and download a PDF with full teacher's notes. Don't have an account yet? Create one now! Already have an account? Log in now! JavaScript seem to be disabled in your browser. You must have JavaScript enabled in your browser to utilize the functionality of this website. Join over 1. Page 1. Save View my saved documents Submit similar document.

Share this Facebook. Extracts from this document When the T-Number is even, the T-Total is even. The rule will only work in certain Grids, because the vector by which I want to translate the T, will be too big to fit the limitations of the Grid. The limitations are only a problem, if you want the T-shape to stay in the grid, but I have demonstrated already using the 6x6 grid that you can imagine the numbers carrying on. Found what you're looking for?

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Mathematics gcse t totals coursework | Raju Sk. The rule will only work in certain Grids, because the vector by which I want to translate the T, will be too big to fit the limitations of the Grid. E you in the process of writing your math coursework and all of a sudden you found yourself. Is this content inappropriate? Original Title T-total. Not the one? |

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How to write business case studies | I will now find a rule which links the T-number with the T-Total:. Search for your essay title Aqa Gcse Ict Coursework Help. I have used this instead of the usual vector notation, because there is no simple way of createing it using none specialised software. Save View my saved documents Submit similar document. Gcse t - totals maths coursework Mathematics? |

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An essay on the principle of population audiobook | SE Mathematics exam syllabus changed. Using these formulae we can see that the relationship of each number inside the T to the T-number will always be constant. In this section there is an investigation between the t-total and the t-number. Save Sign up now Want to read the rest? User Settings. The number to the left of any number will always be one less than it because the numbers are arranged in ascending order. |

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Resume summary statement scientist | However when the correct number is moved into the overlapping space, that the formula works ever for those patterns shown in italics. Create one now! Free t total investigation. User Settings. Sourabh Sinha. You must have JavaScript enabled in your browser to utilize the functionality of this website. Or get inspiration from these FREE essays:. |

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These papers largely point to nwke. This is the new formula for the T-Total of my newly rotated shape. Get Full Access Now or Learn more. The staging of the investigation allows for the concepts to be developed throughout. Specific strengths and improvements are suggested throughout.

All the mathematical content in the investigation is correct. See related essays. The formula works in all the exemplary cases. The formula works because when the 5 terms in a given. I also predict that next pattern will have 28 white squares as the number of white squares seem go up in multiples of 4 another 4 white squares added on for each pattern.

So each time we move the E one space to the right, the total goes up by Another way of approaching this is to look at the differences between the totals again. For the total number of squares: 1 7 25 63 6 18 38 66 12 20 28 8 8 This shows there is a cubic relation between the totals, which can be found by. If the fourth row had not indicated a constant number pattern i.

This essay has been marked by a teacher! Sign up to view the whole essay and download a PDF with full teacher's notes. Don't have an account yet? Create one now! Already have an account? Log in now! JavaScript seem to be disabled in your browser. You must have JavaScript enabled in your browser to utilize the functionality of this website. Join over 1. Page 1. Save View my saved documents Submit similar document. Share this Facebook. Extracts from this document

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