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    The Beauty of Numbers

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    The Beauty of Numbers "There are three kinds of lies-lies, damned lies, and statistics."-Mark Twain Well, perhaps Mr. Twain didn't see the beauty of numbers the way that I do. Because ever since grade school, mathematics has been my favorite subject.  And once I was in college and could focus on many areas of math, I realized that I had a genuine interest to applying mathematical and statistical theories to real-world concerns.  Hey, even Twain the skeptic realized the importance of balancing

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    Consecutive Numbers

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    Consecutive Numbers Task 1 Problem 1 Write down 3 consecutive numbers. Square the middle one. Multiply the first and the third number. Compare the two numbers, what do you notice? Problem 2 ========= Write down two consecutive numbers. Square both of the numbers and find the difference between the squares. What do you notice? Problem 1 ========= I am going to investigate several sets of three consecutive numbers to see if the square of the middle is related to

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    The Fibonacci Numbers

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    The Fibonacci numbers were first discovered by a man named Leonardo Pisano. He was known by his nickname, Fibonacci. The Fibonacci sequence is a sequence in which each term is the sum of the 2 numbers preceding it. The first 10 Fibonacci numbers are: (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89). These numbers are obviously recursive. Fibonacci was born around 1170 in Italy, and he died around 1240 in Italy. He played an important role in reviving ancient mathematics and made significant contributions

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    time, so did the number zero. Zero did not seem to be an obvious start to the natural numbers to the mathematicians who pioneered the different number systems of the past. Having a symbol that meant basically “nothing” appeared in a few cultures but usually long after the initial creation of the culture’s number system and sometimes was a controversial idea. (Textbook) The delay in adding zero to the number systems was most likely because in most cultures the earliest number systems were additive

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    Proportions of Numbers and Magnitudes In the Elements, Euclid devotes a book to magnitudes (Five), and he devotes a book to numbers (Seven). Both magnitudes and numbers represent quantity, however; magnitude is continuous while number is discrete. That is, numbers are composed of units which can be used to divide the whole, while magnitudes can not be distinguished as parts from a whole, therefore; numbers can be more accurately compared because there is a standard unit representing one of something

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    The T-Number

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    The T-Number Explanation- In this unit I will use the phrases t shape, t number and t total a lot. They will be seen on grids of numbers like this: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 This particular grid can be described as 5 x 5 grid because it goes 5 numbers across and 5 numbers down. You will also notice that the 5 times table occurs if you read the last column downwards.

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    Prime Numbers

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    Prime Numbers Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians. The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers. A perfect number is one whose proper divisors sum to the number itself. e.g. The number 6 has proper divisors 1, 2 and 3 and 1 + 2 + 3 = 6, 28 has

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    Number Grids

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    Number Grids My task is to find an algebraic rule for different sized squares in a set sized number grid. To do this I will establish my algebraic rule by creating a 10×10 square and marking out 3 different sized squares inside this square. I will then work out the rules for these individual squares and combine them to create my overall rule. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

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    Number and Operations

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    confuse decimal amounts because so many numbers are involved. Students originally learn that more digits equal a greater amount. For example, they might think that 0.2398476 is greater than 0.72 because it has more digits. In order to keep students from being confused and misunderstanding the true amounts, I would teach a strategy called leading digit (Cathcart, Pothier, Vance, & Bezuk, 2011, p. 278). Using the leading digit strategy takes unneeded numbers away making comparing the two fractions

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    Rational Numbers

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    different numbers. Numbers can be classified into groups which with a little bit of studying are easy to understand over time. Terms in math are thrown around easily and if you don’t understand the terms math will suddenly become much more difficult. The terms and groups that I am referring to are where the different numbers fall into different groups. These groups are Natural numbers, Whole numbers, Integers, Rational numbers, Real numbers, and Irrational numbers. First Natural numbers which are

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