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Applied Math Project: Formulas Name:______________________________________ Objective: Research and explain a math formula used to model variables in Real life. Details: Chapter: ____________ Due Date: ____________ Procedure: 1. Students will randomly select a formula from science, economics and other math related fields. 2. Students will create a one page summary of the formula which will include the following information: a. A legible representation of the formula. b. The common name for the formula c. Explanation of all of the numbers and variables, including units used for the variables d. A brief summary of how it was discovered and who got credit for developing the model. e. Where it is used in the world today. f. A picture or graph that represents the model. Grading Rubric Rubric Proper Heading Presentation Individual Parts a.-f. Passed in On time Bonus Total Description Name, class, date Neat, Easily readable, and organized so the information is easy to find. Type as much as possible. Each part was completed and references a reliable source. Each day late will be 3 points. Interesting extra fact about the person who discovered the formula or an application of the formula Points 4 10 30 6 3 50 Grade Applied Math Project: Formulas C = πd Circumference of Circle = pi * diameter Numbers and Variables: C = Circumference of the circle, measured in units for distance ( i.e. inches, feet, centimeters, meters, miles, etc. ) d = diameter of the circle, measured in the distance units as the circumference π = pi, a constant irrational number that has no units. It represents the ratio of circumference to diameter of circles. 3.14159. . . Summary if pi and the formula The history of pi and the formula for Circumference pre-dates written history. In 1650 B.C. the Rhind Papyrus of ancient Egypt references the constant that became pi as 4(8/9)2. Even 3600 years ago, the approximation was fairly accurate at 3.16049. Over the years the value of pi became more accurate. British mathematician William Jones first assigned the constant to the Greek letter π. In 1737, the famous mathematician Leonard Euler adopted π and it became the standard for the ratio of circumference to diameter. Where is it used? The formula is used wherever circles are used, particularly with measurement of distances. The wheels of cars and bikes use the formula to measure distance and speed. References: http://www.ualr.edu/ , University of Arkansas, Little Rock Math through the Ages, by Berlinghoff and Gouvea, Oxton House, 2004