IB Math SL
Internal Assessment Paper 1
Lacsap’s Fractions Lacsap is Pascal spelled backward. Therefore, Pascal’s Triangle can be used practically especially with this diagram.
(Diagram 1) This diagram is of Pascal’s Triangle and shows the relationship of the row number, n, and the diagonal columns, r. This is evident in Lacsap’s Fractions as well, and can be used to help understand some of the following questions.
Describe how to find the numerator of the sixth row. There are multiple methods for finding the numerator of each consecutive row; one way is with the use of a formula, and another by using a diagonal method of counting illustrated by a diagram. The following…show more content…
Therefore, this equation can be used to solve the rest of the eighth row, and of row nine, and so on.
The eighth row:
1 36/29 36/24 36/21 36/20 36/ 21 36/24 36/29 1
The ninth row:
1 45/37 45/31 45/27 45/25 45/25 45/ 27 45/31 45/37 1 One limit I noticed when doing this, was in row eight. I was convinced or believed that the mirror reflection theory would work all the way through Lacsap’s Fractions as it does in Pascal’s Triangle. However, I was wrong and was subsequently incorrect in the analysis of a portion of my data. After a reevaluation of my data, I discovered a mathematical error in my calculations and was able to correct the error, which provided a bit of confusion in my overall