Extra Credit Grade 6 mathematics Mr. Livingood and Mrs. Dettlinger Extra Credit: Part 1 MAYAN AND ROMAN MATH SYMBOLS Objective: Students will: explore how the Mayan and Roman people used mathematical symbols Students will: use Mayan and Roman math symbols to write and solve problems. Mayan Math One region that is sometimes overlooked in the history of mathematics is the contributions on the Mayan people. The ancient Maya lived in Mesoamerica. Mesoamerica included five countries: Mexico (which includes the Yucatan Peninsula and Las Chiapas), Guatemala, Belize, Honduras, and El Salvador. Mesoamerica was the land that stretched between the United States of America and South America. The Ancient Maya Classic age the peak of their culture occurred between 300 and 900 A.D. The Mayans used a complex language where glyphs could represent a complete word or syllable. They also used symbols to represent numerical expressions. Your job is to research the Mayan s mathematical number system using a search engine and convert the symbols to our number system and solve mathematical expressions using Mayan Math. Suggested Web Site: http://www.hanksville.org/yucatan/mayamath.html 1.) Answer:
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Describe the Mayan number system and explain how the place values are represented: The above portion of the project is due October 1 st
Translate the following numerical expressions using Mayan math symbols Ex: 5 + 12 = 17 ( + = ) 1.) 8 + 10 = 18 2.) 14 6 = 8 3.) 4 3 = 12 4.) 8 2 = 4 5.) 12 + 14 = Challenge: Write the number 34 in Mayan math symbols: Write the number 100 in Mayan math symbols: Write the number 67 in Mayan math symbols: Write the number 20 in Mayan math symbols: Writing: Explain how the numbers we use (1,2,3, ) are entirely symbolic, whereas Mayan numbers have a more direct connection to the number of item they represent.
The above portion is due October 25th
Roman Numerals Thousands of years ago, in ancient Rome, the Romans used a system of numbers that we call Roman numerals. The Romans used only seven letters to express all their numbers. Using a search engine you are to research and learn how to perform basic calculations with Roman Numerals. First you will identify the value for each symbol. The following websites will be helpful for you to obtain your information: http://www.oliverlawrence.com/romans101/ http://www.roman-numerals.org/chart100.html Label the Roman Numerals: Forming Numbers - The Rules When a symbol appears after a larger symbol it is added Example: VI = V + I = 5 + 1 = 6 But if the symbol appears before a larger symbol it is subtracted
Example: IX = X - I = 10-1 = 9 Don't use the same symbol more than three times in a row. Convert the following Roman Numerals to our number system: 1.) Write X as a number 2.) Write IV as a number 3.) Write VIII as a number 4.) Write III as a number 6.) Write V as a number 7.) Write II as a number 8.) Write I as a number 9.) Write VII as a number 10.) Write IX as a number 11.) Write XIX as a number
12.) Write XIV as a number 13.) Write XVI as a number 14.) Write IV as a number 15.) Write IX as a number 16.) Write II as a number 17.) Write XVII as a number Convert Numbers to Roman Numerals 1.) Write 38 as a Roman Numeral 2.) Write 40 as a Roman Numeral 3.) Write 82 as a Roman Numeral 4.) Write 40 as a Roman Numeral 5.) Write 25 as a Roman Numeral 6.) Write 51 as a Roman Numeral
7.) Write 99 as a Roman Numeral 8.) Write 73 as a Roman Numeral 9.) Write 6 as a Roman Numeral 10.) Write 100 as a Roman Numeral Solve these calculations: 1.) XVI + VII= 2.) XVII VI= 3.) XVII VI= 4.) XIX + III + XXII= 5.) IX + XV + XI = 6.) MXLI XXXVI = How do the Roman and Mayan number system relate and how do they differ? The above portion is Due November 6 th
Extra Credit: Part 2 MATHEMATICIANS FROM AROUND THE WORLD Objective: Students will: use an internet directory to investigate the history of mathematics, using geographic regions as a guide. Students will: construct a time line based on mathematical discoveries and the lives of mathematicians Have you ever wondered where math comes from? Well, math has always been around us, waiting to be discovered. Over the span of ages, in every corner of the globe, people have discovered math. Mathematicians are people from every ethnicity, every region, who recognize the awesome power of math to discover its applications to our lives. Now you will study some of these people, and in the process you will realize that math unites humans from across the world. Materials: Computer with Internet, poster paper, markers Directions: Choose three famous mathematician from one of the given regions and create a poster that includes their Biography (name, birth, education, work, region, etc..) and a Time Line of their Important Discoveries/Contributions to the world of math. It can be all on one poster or separate posters. T he regions include Greece, Europe, Asia, India and Pakistan, Africa, and Middle East
Rubric: Your investigation must include their biography, where they lived, important discoveries they made, neatness, and any other information you think is significant. Be creative!!! The above portion is due December 1 st