• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8
9. 9
9
• Level: GCSE
• Subject: Maths
• Word count: 1633

Maths Investigation : The relationship between the base number and the T-number

Extracts from this document...

Introduction

Introduction For my course-work investigation I will be working out the relationship between the base number and the T-number. I will also be including two variables into my investigation to see how it can change the relationship between base number and T-number. 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 31 33 34 35 36 37 38 39 40 41 41 42 44 43 45 47 48 49 50 51 52 53 54 55 56 57 58 59 60 To find out the formula and relationship I must firstly see if there is a pattern between one T-shape and another and any other patterns that could help me find the formula. I will also be displaying my work in graphs and tables. Number 1: 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 31 33 34 35 36 37 38 39 40 41 41 42 44 43 45 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The first T-shape I have indicated in red. ...read more.

Middle

70 = 110 110 / 5 = 22 Base Number = 22 Page: 5 Graph: A graph to show the relationship between the Base-Number and the T-Number From this graph we can see that the line of best fit goes through the Y=axis at -70 and that the T-number increases by 5 and the base number by 1. This backs up that the ratio between the T-number and base-number is 5:1, and that -70 is an important part of the equation I found out earlier. Variable One For my first variable I will be changing the size of my table and putting more numbers on a row to see if this has any affect on my formula or if it requires a totally different formula. 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 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 Here we are doing what we did in the last section but finding out more about the grid size and what it is cable of doing. ...read more.

Conclusion

Now I am going to rotate the angle of the T-Shape another 90 degrees to see what difference it has on the formula or if we have to make a new formula for this T-shape. 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 31 33 34 35 36 37 38 39 40 41 41 42 44 43 45 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Base Number = 13 T-Number = 58 Unfortunately the 2nd formula to multiply the number of columns by 7 doesn't work when the T-shape is at this angle. Difference: 13 - 1 = 12 13 - 11 = 2 13 - 12 = 1 13 - 21 = - 8 Total = 12+2+1 - 8 = 7 So now the formula looks like this: T= 5b - 7 This is how the new formula works: 5*13 - 7 = 58 So by rotating the T-Shape by 90 degrees we are unable to use our 2nd rule to work out the last number in our formula, but rotating the T-Shape doesn't only still change the last number in the formula. ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our GCSE T-Total section.

Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

Related GCSE T-Total essays

1. T-Total Maths

Formula: T=5N+63 I tested that when: T-number=80 T-total=337 Below is a T-shape, and in each cell how number is connected with T-number on a 9 by 9 number grid. To prove the formula: T= N+N-9+N-17+N-18+N-19 T= 5N+63 How the formula works there are some example shown in below are: Formula:

2. Connect 4 - Maths Investigation.

Using the difference method to form an overall rule I multiply the difference (15) by the length and take away n to get the total for any connect. Premature rule: 15L - n For the 6 x 5: 15 x 5 - 36 Rule for Connect 4 with height 6:

1. T-Total Maths coursework

are: Formula: T=5N+56 N= 2 3 4 5 T= 66 71 76 81 N=2 T-number T= (5 x 2) + 56 = 10 + 56 = 66 T-total This equation has produced its first correct answer. I will carry on and test T-shape I know N = 3 T = (5 x 3)

2. T-total Investigation

10 by 10 I can now explain this formula using algebra and so therefore this will help me find the rule for a 3by2 T on any size grid. If G = the grid size - in this case G would be 10 because I am using a 10by10 grid.

1. T-Shapes Coursework

of Tail = 1/2 l {2n + g(l + 1)} can be deemed to be true, but needs to be tested and justified. 5) Generalisation It can be assumed that for all possible locations of the wxl "T" on the width g grid, these patterns will be true.

2. T-Shapes Coursework

n + 2g n + (2g + 1) If we simplify this equation, we can find the general formula that might apply to any T-Shape rotated 180 degrees clockwise. Tt = n + (n + g) + (n + 2g)

1. T totals. In this investigation I aim to find out relationships between grid sizes ...

predict the formula will firstly have to find the new Middle Number (of the translated shape) then that new v number will have to be put through the equation for rotations, the first part of the equation is t=(v+b)-ag Saying if we want the rotate the shape by 90 degrees

2. Maths Coursework T-Totals

50 (210 - 160) 36 160 t = (5 x 36) + ( 2 x 10 ) 50 (160 - 110) 26 110 t = (5 x 26) + ( 2 x 10 ) 50 (110 - 60) 16 60 t = (5 x 16)

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to