g EntriesNon-routine problem or puzzleThese problems or puzzles, require you to combine or invent problem solving strategies that are different from textbook procedures in order to solve them. They may or may not be related to topics studied in class. A detailed solution, complete with sources, will be submitted.ApplicationThis entry will demonstrate an AUTHENTIC use of mathematics in another subject area, INCLUDING the fine arts. Math concepts, principles, and procedures will be employed in a well grounded, real WORLD context. Some aspect of this entry will explain the math content, the content from the other subject and the connection between the two.Mathematics in a historical contextThis entry requires researching and summarizing in your own words either1)a biography of a famous mathematician2) the mathematics o of a particular nonwestern culture3)the evolution of mathematical ideas in some branch of mathematics. Sources must be cited.Math labThis entry is an inductive search for an answer to a question of yours, a guided exploration leading to a generalization, a concept, or a mathematical relationship between variables. This will require c conjecturing, gathering data, examining models, viewing examples and counter examples, an drawing conclusions based on your evidence. a report of your process and your findings is required(all students work on their math labs during a week set aside for this entry)Reading and Writingyou will read a math-related essay, then explain w hat you read by writing about it in your own words. Use examples from the reading and at least one example of your own, or make some original connection from this topic to some other topic.Fixed Entries:Progress EntryWith each portfolio submission all tests and quizzes taken to date will be submitted in chronological order with corrections. Complete all test and quiz correction on a separate paper, including a detailed revised and hopefully accurate solution to any problem in which full credit was not awarded. QUESTIONS with problem numbers must also be written outContents EntryThis entry should be placed first in the portfolio. It must include1) a table of contents2)a scatter diagram depicting entry types and methods3) a letter to the reader addressing why you chose these topics, what you enjoyed learning, what difficulties arose and your reflections about the collection of entries; and4) a work log sheet detailing the tasks along with the dates you worked on eachMethod TypesAs you complete your entries each quarter, you must also vary your methods using all the following methods by the end of the third quarter1) making use of math related software or graphing calculator2) CONSTRUCTING physical models or manipulatives3) working without peers4) working with peers using your scatter diagram, keep track of your method for each entry.