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Complete Mathematics/T-Totals
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  • £16.67

T-Totals

  • Course
  • 21 Lessons

An exploration and extension of the old coursework favourite 'T Totals', the T-shape on a 9 x 9 grid, with an intention to identify the relationship between the T-number and the T-Total as the shape is translated about the grid.

What happens if we place the T-shape on a 7 x 7 grid? a 6 x 6 grid? a n x n grid?

How does this change for a 3 x 5 grid? a 5 x 3 grid? or a p x q grid?

What is the effect if we rotate or reflect the shape?
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Contents

Introduction

1.0 Course Introduction
  • 1 min
  • 1.2 MB
Preview

Main Task

1.1 Initital Task
  • 193 KB
Preview
1.2 T-Totals
  • 6 mins
  • 14 MB
Preview
1.3 T-Totals
  • 148 KB
1.3 Generalisation
  • 76.5 KB
1.4 10 by 10 Task
  • 1 min
  • 1.37 MB
1.5 10 by 10 Task
  • 194 KB
1.6 T-Totals (10 by 10)
  • 4 mins
  • 8.25 MB
1.7 T-Totals (10 by 10)
  • 192 KB
1.7 Generalisation (10 by 10)
  • 99.5 KB
1.8 T-Totals Extended
  • 1 min
  • 2.29 MB
1.9 7 by 7 Task
  • 2.06 MB
1.9 8 by 8 Task
  • 2.06 MB
1.9 n by n Task
  • 2.06 MB
1.9 4 by 4 Task
  • 2.06 MB
1.10 T-Totals (n by n)
  • 5 mins
  • 7.69 MB

Extensions

2.0 Extensions
  • 2 mins
  • 4.39 MB
2.0 Extend the Grid
  • 111 KB
2.0 Plus-Sums
  • 201 KB
2.0 L-Totals
  • 191 KB
2.0 Stair-Totals
  • 209 KB