STELLAR NUMBERS
In order to develop this mathematics SL portfolio, I will require the use of windows paint 2010 and the graphic calculator fx-9860G SD emulator, meaning that I will use screenshots from this software with the intention of demonstrating my work and process of stellar numbers sequences. Triangular numbers are those which follow a triangular pattern, these numbers can be represented in a triangular grid of evenly spaced dots.

The sequence of triangular numbers is shown in the diagrams above. The first stage has 1 dot; the second stage has 3 dots (1+2); the third stage has 6 dots (1+2+3); the fourth stage has 10 dots (1+2+3+4); the fifth stage has 15 dots(1+2+3+4+5); the sixth stage has 21 dots (1+2+3+4+5+6) ; the seventh stage has 28 dots(1+2+3+4+5+6+7) and the eighth stage has36 dots(1+2+3+4+5+6+7+8). As it could be noticed, there is a sequence where in every stage the number of dots is obtained by adding up all the positive integers that correspond to the previous stages and every time one more number is added.

In terms of n, where n matches up to the stage number, it is accurate to establish an equation so that when trying to find the number of dots in stage 592, it is easy and fast by simply applying the following formulae:

Now it is possible to find the nth number by using the formula, going back to the example where n is 592, so we replace n by 592 and solve the equation as follows: so the 592nd term will contain 175528 dots. =175528

Furthermore, to prove my equation I will use different values for n but they have to be positive integers otherwise if I use negative or irrational or fractions it would not have any common sense. thus i will replace n by 6 to prove that the result is 21 as shown in the first diagram and also by 10:

=21 =55

Subsequently considering stellar numbers which are stars with 6 vertices, the number of dots in each stage will represent each stellar number just as it was done before with the...

...Introduction: In this following assignment, I will be considering geometric shapes that lead to special numbers. The simplest examples of these are square numbers (1, 4, 9, 16, etc), which are derived from squaring 1, 2, 3, and 4. From this I got the equation y= x2. This equation is illustrated in the table below.
y=x2
|x |y |
|1 |1 |
|2 |4...

...geometric shapes, which lead to special numbers. The simplest example of these are square numbers, such as 1, 4, 9, 16, which can be represented by squares of side 1, 2, 3, and 4.
Triangular numbers are defined as “the number of dots in an equilateral triangle uniformly filled with dots”. The sequence of triangular numbers are derived from all natural numbers and zero, if the following number...

...final assessment in 2011 and 2012
STELLARNUMBERS SL TYPE I
Aim: In this task you will consider geometric shapes which lead to special numbers. The simplest example of these are square numbers, 1, 4, 9, 16, which can be represented by squares of side 1, 2, 3 and 4.
The following diagrams show a triangular pattern of evenly spaced dots. The numbers of dots in each diagram are examples of triangular numbers...

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StellarNumbers
Results
1. Triangular Numbers
Observation of the number pattern of polynomial type or different pattern needed.
Identifying the order of the general term by using the difference between the succeeding numbers.
Students are expected to use mathematical way of deriving the general term for the sequence.
Students are expected use technology GDC to generate the 7th and 8th terms also can use...

...Math SL Investigation Type 2
StellarNumbers
This is an investigation about stellarnumbers, it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1, 4, 9, 16, 25 etc…)
The diagram below shows the stellar triangular numbers until the 6th triangle.
The next three numbers after T5...

...SL Math Internal Assessment: StellarNumbers
374603
Mr. T. Persaud
Due Date: March 07, 2011
Part 1: Below is a series of triangle patterned sets of dots. The numbers of dots in each diagram are examples of triangular numbers.
Let the variable ‘n’ represent the term number in the sequence.
n=1 n=2 n=3 n=4...

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IB Math: Studies Statistics
Portfolio:
What is the relationship between the numbers of goals the top sixteen players of the FIFA world cup 2014 score with the height of the players?
Due date: Friday November 23, 2013
School Name: Franklin Delano Roosevelt
Course: IB Math Studies
Name: Valerie Philco
What is the relationship between football player’s height that is participating in FIFA...

...1: Number and Operations
. . . Math 1901 .
1.
−3 + 2 =
a. The temperature in the morning when you leave to come to school is -3 degrees. When the sun comes out, the temperature warms up by 2 degrees. What is the temperature after the sun comes out?
1 0 -1 -2 So by moving up 2 degrees, we see that we end up at -1 degrees. -3 To solve this problem, start by finding -3 degrees on our thermometer/ number line. We know from before, that when we...