Lacsap’s Fractions:
Lacsap is Pascal backwards and the way that Lacsap’s fractions are presented is fairly similar to Pascal’s triangle. Thus, various aspects of Pascal’s triangle can be applied in Lacsap’s fraction.

To determine the numerators:
To determine the numerator (n), consider it in relation to the number of the row (r) that it is a part of.

The relation between the numerator and the row number can be shown by the equation:
Where the numerator = n
And the row = r
0.5r2 + 0.5r = the numerator (n)

When r=1
0.5(12) + 0.5(1) = 1
When r=2
0.5(22) + 0.5(2) = 3
When r=3
0.5(32) + 0.5(3) =6
When r=4
0.5(42) + 0.5(4) = 10
When r=5
0.5(52) + 0.5(5) = 15

Therefore if you are attempting to find the 6th or 7th row numerators, you simply plug (n) into the equation:
When r=6
0.5(62) + 0.5(6) = 21
When r=7
0.5(72) + 0.5(7) = 28

Therefore the terms in the 6th row include:
1211621132112211321161

...for many doctors and researchers. BMI is calculated using a mathematical formula that accounts for a person’s height and weight. BMI is equal to a person’s weight in kilograms (kg) divided by height in meters squared (BMI=).
Aim
The aim of this project work is to investigate the relationship between height, weight and BMI with students’ health condition. The purpose of this campaign is to create awareness among students about obesity or underweight related to health problems....

...Choe
March 25 2011
MathIB SL
Internal Assessment – LASCAP’S Fraction
The goal of this task is to consider a set of fractions which are presented in a symmetrical, recurring sequence, and to find a general statement for the pattern.
The presented pattern is:
Row 111
Row 2...

...heat energy. It is also referred to as the retarding force or even drag force in the form of air resistance.
Frictional force is found to be directly proportional to the normal force (N) which is mathematically expressed as:
f ∝N
f=kN (Equation 1)
The coefficient of friction (µ) takes the place of k which is the constant of proportionality. Thus:
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26904953626485Figure 3. Angle of Repose
Figure 3. Angle of Repose
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...consider and investigate geometric shapes that lead to stellar numbers. One of the simplest forms of this would be of square numbers, terms 1, 2, 3, 4, and 5 in terms of geometric shapes lead to the special numbers of 1, 4, 9, 16, and 25. To find these outcomes, simply all that is needed to be done is to square the nth term of the sequence. For example, 12=1, 22=4, 32=9, 42=16, and 52=25, therefore the resulting formula for square numbers would be...

...Lacsap’s Fractions
Laurie Scott
SL Math Internal Assessment
Mr. Winningham
9/5/12
Instructions: In this task you will consider a set of numbers that are presented in a symmetrical pattern.
Pascal’s Triangle
|n=0 |1 |
|1 |0 |
|2 |3 |
|3 |6...

...Lacsap’s Fractions
IBMath 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...

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