BRAILLE and MATHS

I believe it is motivating and challenging "to see the maths" behind 

everyday activities or happenings.  This brings "Maths To Life" 

and gives reasons for teaching and learning mathematics

Braille is an arrangement of raised dots within a ‘2 x 3' rectangle. 

   

Each unique arrangement represents a symbol

1.    Find all the ways of arranging 0, 1, 2, 3, 4, 5, 6 dots, Showing them in 2 x 3 rectangles,  arranging your solution in a systematic way.

2.    Describe, with examples, any number patterns you observe. (It may help to table your data from the previous question)

3.    Would it be more useful to have a different sized rectangle to make the letters?  (a 2 x 4 rectangle, a 2 x 1).   Explain why or why not.

4.    Find a formula for the number of Braille patterns possible for a 2 x n grid?                                    (Consider the number of patterns possible on grids of 2 x 1, 2 x 2, 2 x 3  etc before making a generalisation)

5.    Write a paragraph on each of the following:
        The History of Braille
        How the Braille symbols are used for the alphabet

6.     Investigate the patterns that could be made if there was a different type of rectangle e.g. 3 x 2, 3 x 4,  Explain why you think a 2 x 3 rectangle was chosen

7.     Work in groups of 2 or 3 to complete the above investigations Each member making a contribution. Decide on how best to present your investigations - Video, Poster, Booklet, Power Point...