assessment in 2011 and 2012 STELLAR NUMBERS 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 (1‚3‚6‚)…. 1 3 6 10 15 Complete the triangular numbers sequence with three more terms. Find
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literature for children each year. Upon reading “Number the Stars” by Lois Lowry‚ the Newbery Medal winner in 1990‚ one can easily understand why this great novel won the coveted John Newbery Medal. There are many reasons as to why “Number the Stars” obtained the Newbery Medal but two main reasons stick out: The use of italics as a descriptive device‚ and the central theme pertaining to the difficulties of growing up. Firstly‚ Lois Lowry’s “Number the Stars” focuses on Annemarie Johansen‚ a young
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History of imaginary numbers I is an imaginary number‚ it is also the only imaginary number. But it wasn’t just created it took a long time to convince mathematicians to accept the new number. Over time I was created. This also includes complex numbers‚ which are numbers that have both real and imaginary numbers and people now use I in everyday math. I was created because everyone needed it. At first the square root of a negative number was thought to be impossible. However‚ mathematicians soon
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the imaginary land of numbers… Yes‚ numbers! I bet that would’ve never come to mind. Which brings me to the question: Who thought of them and why? In 50 A.D.‚ Heron of Alexandria studied the volume of an impossible part of a pyramid. He had to find √(81-114) which‚ back then‚ was insolvable. Heron soon gave up. For a very long time‚ negative radicals were simply deemed “impossible”. In the 1500’s‚ some speculation began to arise again over the square root of negative numbers. Formulas for solving
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Abstract A complex number is a number that can be written in the form of a+bi where a and b are real numbers and i is the value of the square root of negative one. In the form a + bi‚ a is considered the real part and the bi is considered the imaginary part. The goal of this project is show how the use of complex numbers originates in the history of mathematics. Introduction Complex numbers are very important component of mathematics. They enable us to solve any polynomial equation of degree
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Real Number Properties In this assignment we were asked to solve three expressions using the properties of real numbers in order to do so. Each of the real number properties are essential in solving algebraic expressions. Although you may not need to use all of them in the same expression to solve you will need to use at least one. In this paper I will demonstrate the use of the properties and show the steps needed to solve each part of an expression. Understanding the properties of algebra
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Tellurium Many historians believed that Franz Joseph Müller von Reichstein was born around 1740’s to 1742 in the Habsburg Empire‚ which later became known as the Austro-Hungary Empire. Müller had many different positions in the Austria-Hungary administration; but he’s most known for being a mineralogist and skilled miner. He started his rode to success by becoming a Markscheider (official mine surveyor)‚ which then lead him to become an Hüttenwerke (royal commission for mining in the Banat). These
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“Mesoamerican Vigesimal Number System” In the modern world we use a number system based on ten with a symbol representing zero to nine. Numbers are written horizontally with each number place representing that the number value has exceeded the value of the number place to the right. The Mayans or Mesoamericans used a twenty based number system that is written vertically. According to the Mayans numerical system one dot is equal to one and instead of writing five dots for the number five a line replaces
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E-readers and e-books may have seemed like a fad‚ but clearly they are not going anywhere. There are a number of styles and types to pick from; the Nook and Kindle each have various versions and options‚ for example‚ based on your budget and your needs. Debate rages about which is the best e-reader‚ but this is about the advantages and disadvantages of an e-reader regardless of the one you buy. Advantages For starters‚ we will look at the benefits of e-readers. Do you travel a lot? If so‚ an e-reader
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possibilities of electronic learning (E-learning). The use of the Web as an educational medium was hailed as a indication of overwhelming modifications for communities‚ businesses and markets. By now‚ well over a decade later‚ one might expect that the perception of E-learning would be well classified and unmistakably distinguished from other forms of learning. The term E-leaning means electronic learning‚ which deals with various forms of technology enhanced learning. E-learning is basically the use
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