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PART 1: PRIME NUMBER THEORY Do we have a mathematical formula for calculating the order or sequence of prime numbers? For example, if we look at even numbers, 2, 4, 6, 8, …, you could repeat the pattern because the next number is always 2 more than the previous one. What if you were given the sequence 1, 4, 9, 16, 25, … You might notice that these are square numbers and the next numbers in the sequence are 36, 49, etc. Is there a similar sequence for prime numbers? Given the sequence 2, 3, 5, 7, 11, 13, 17, … could you accurately describe a mathematical pattern or formula to find the next numbers in the sequence? Search the internet to learn more about this and what a summary about what you’ve learned. Add a reference identifying the website you used.
PART 2: RSA ENCRYPTION AND PRIME NUMBERS Search the internet for ‘RSA Encryption and prime numbers’, find a scholarly website, and learn more about what RSA Encryption is and how/why it uses prime numbers. Summarize what you have learned, specifically describing how prime numbers are helping to keep your credit card numbers safe while using secure websites. Add a reference identifying the website you used.
PART 3: GOLDEN RATIO Do an internet search on the Golden Ratio. Define what the golden ratio is and identify at least two places or situations where the golden ratio is used today. Add a reference identifying the website you used.
PART 4: GEOMETRIC STUDIES DONE BY THALES Do an internet search on the Greek mathematician named Thales. List the website in your journal entry along with a summary of this mathematician’s accomplishments related to the topic of geometry.
PART 5: ARCHIMEDES Do an internet search on Archimedes. List the website in your journal entry along with a summary of the site and a summary of this mathematician’s accomplishments. Are there any accomplishments or mathematical results found by Archimedes that we still use today?
PART 6: ESCHER Artist M. C. Escher used geometry to construct interlocking patterns. Do an internet search on this artist, and list the website along with a summary in your journal. Make a tessellation on your own and describe your success in the journal. Upload your picture to the internet using a website such as www.imgbb.comLinks to an external site.. After uploading your picture to this website (this is free and you don’t need an account), copy and paste the URL into your journal entry.
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