Algebra+III+Research+Topics


 * GUESS WHAT? NO MORE RESEARCH! **

Go to the following website and read the article up to "Logarithm Arithmetic is not Natural." [|http://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/] What does the article say "e" is about and what does it say the natural log is about?
 * May 2-6, 2016 **

Go to the following website and answer the questions using complete sentences. [|http://www.mathsisfun.com/numbers/e-eulers-number.html] Read the full article! A. Another name for "e" is? B. Write "e" to fifteen decimal places. C. What is the "curious" pattern that can be used to remember the value of "e?" D. Other than irrational, "e" is also what type of number? Go to the following website: [|http://www.sosmath.com/algebra/logs/log1/log1.html] Read the article up to "Short cuts." Answer the following questions. 1. What is a logarithm? (one word) 2. What two mathematicians independently invented logarithms? 3. What two fields are logarithms used in? 4. What two mathematicians are responsible for defining logarithms as exponents and in what century?
 * April 25-29, 2016 **


 * April 18-22, 2016 **
 * Go to the following website and read about mathematics and "The Simpsons." Write your impressions about the article.**
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 * April 8-12,2016 **
 * No Research...Enjoy your Spring Break! **


 * March 28-April 1, 2016 **
 * Read the article at the following website and work the 3 problems related to the given rational function:**
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 * March 21-25, 2016 **
 * Easter Holiday, Enjoy your 4 day weekend! **

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 * March 14-18, 2016 **
 * Go to the following website and read about some of the uses of polynomials. Write one paragraph about what you read. **


 * March 7-11, 2016 **
 * EXAM WEEK, NO RESEARCH! **

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 * February 29-March 4, 2016 **
 * Go to the following website and read about integers and the use of the letter "Z" to represent it. Write a paragraph about what you read.**

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 * February 22-26, 2016 **
 * In honor of President's day (February 22), we have a very interesting bit of trivia for this week's research. (I believe they have one mistake in the article: the long side is "b" and the short side is "a." **
 * Go to the following website: **
 * Read the article about President Garfield and the Pythagorean Theorem. Write a paragraph describing what he did to prove the theorem. **


 * February 15-19, 2016 **
 * Go to the following website: [] **
 * Read the article about Annie Easley and write a paragraph about her accomplishments. (At least 5 sentences this time!)**


 * February 8-12, 2016 **
 * NO RESEARCH! **

Go the the following website: [] Read the article about the Konigsberg bridge problem. Write a paragraph (at least 3 sentences) explaining the problem and the solution, then work the problems at the bottom of the page. Be sure to give your answers. In your paragraph be sure to name the mathematician who solved the problem.
 * February 1-5, 2016 **

Go to the following website: [] Read the article. Write Fermat's Last Theorem in either form given. In what year did Fermat write his theorem? Who finally proved Fermat's Last Theorem and in what year? **You should use complete sentences to answer the questions, even when stating Fermat's Last Theorem.**
 * January 25-29, 2016 **

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 * January 18-22, 2016 **
 * Go to the following website and read the article about "Squaring the Circle." Write one paragraph and comment on the article. (At least 3 sentences please!)**

Go to the following website and read the article about Rene Descartes and Leonard Euler. [] Write one paragraph about Decartes and one paragraph about Euler. Each paragraph should contain at least three sentences!
 * January 11-15, 2016 **


 * January 4-8, 2016 **
 * Due on January 8th at the beginning of class. **
 * Go to the following website and read about Al-Khwarizmi. Write at least two coherent paragraphs (at least 3 sentences per paragraph please) about what you read. **
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Go to the following website and read about the tragic loss of John Nash and his accomplishments in the field of mathematics. Write a paragraph about what you read. []
 * May 25-29, 2015**

May 18-22, 2015 Go to the following website and read the article about geometric means up to "Financial Return Calculation." Write about the uses of the geometric mean. []

Go to the following website and read the article, "Rabbits, Cows and Bees Family Trees." Write about each family situation. [|http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html#rabeecow]
 * May 11-15, 2015**

Go to the following website: [] A. Write the symbol for sigma notation. B. What is the symbol used for? C. The value after the sigma symbol is called the ? D. The numbers above and below the sigma symbol are called the? E. The letter below the sigma symbol is called the ? F. Write the two properties of infinite series. G. Work the first four sample problems and check your work.
 * May 4-8, 2015**

Go to the following website and answer the questions using complete sentences. [|http://www.mathsisfun.com/numbers/e-eulers-number.html] Read the full article! A. Another name for "e" is? B. Write "e" to fifteen decimal places. C. What is the "curious" pattern that can be used to remember the value of "e?" D. Other than irrational, "e" is also what type of number? Go to the following website: [|http://www.sosmath.com/algebra/logs/log1/log1.html] Read the article up to "Short cuts." Answer the following questions. 1. What is a logarithm? (one word) 2. What two mathematicians independently invented logarithms? 3. What two fields are logarithms used in? 4. What two mathematicians are responsible for defining logarithms as exponents and in what century?
 * April 27-May 1, 2015**

Go to the following website: [|http://ptri1.tripod.com/] Read the full article on Pascal's Triangle and write a paragraph on at least three of the patterns found in Pascal's Triangle. Use complete sentences in your paragraph.
 * April 13-17, 2015**

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 * March 30-April 2, 2015**
 * Go to the following website and read about the formation of the quadratic formula. Write a paragraph or two about what you read. **

Read the article at the following website and work the problems related to the given rational function: []
 * April 6-10, 2015**


 * March 23-27, 2015**
 * Exam Week...No Research!**


 * March 16-20, 2015**

Answer the questions using complete sentences. Go to the following website and read the full article. [|http://www.mathsisfun.com/numbers/imaginary-numbers.html] How are imaginary numbers used in the real world? Go to the following website and read the article. [|http://www.math.toronto.edu/mathnet/questionCorner/complexorigin.html] Who is credited with the first reference to complex numbers and when? Who is responsible for the use of the letter "i" when referring to the square root of -1 and when?
 * AND**

Go to the following website: [] Read about the applications of parabolas and write at least two paragraphs about those applications. Yes, I know they spelled "automobile" incorrectly. That's how they say it in Jamaica!
 * March 9-13, 2015**


 * February 23-27, 2014**

[|http://www.hiddendimension.com/FractalMath/Mathematics_Main.html] Who is the father of fractals? Why are these shapes called fractals? Where can fractals be seen in the world of nature? Now go to this website: [|http://www.pbs.org/wgbh/nova/physics/fractal-generator.html] Under **//Design a Fractal,//** click on "Launch Interactive, where you will see the Mandelbrot Set. Click on the "Change Color' button. Comment on the design.
 * February 9-13, 2015**
 * Go to the following website and answer the questions below using complete sentences.**


 * February 2-6, 2015**