Introduction
Today, you will be learning about a few famous figures in mathematics. More specifically, those famous in Geometry. There are 6 pages to look at in total. You will first visit the history of 3 of these figures, and then learn a few of the fundamental concepts in Geometry. After this, you will learn about Zeno's Paradoxes, to get you in the mindset of thinking in mathematical terms. All of this to answer: What were the contributions of these mathematicians? What are platonic solids, and the Pythagorean theorem? Then, finally, can you solve any of Zeno's Paradoxes?
Task
Below will be 6 different links. The first 3 will lead you to prominent mathematicians of ancient history. the 4th and 5th will lead you to some basic definitions, and the last will take you to Zeno's paradoxes. After each article, there will be a few questions for you to answer. They are short answer, and should be completed in full sentences. You may do this using either an online resource, such as word, or on paper.
Process
First, we will visit Hippocrates!
https://transum.org/Maths/History/Mathematician.asp?ID=2
1. What concept is Hippocrates credited with making major contributions to?
2. Which concept did he put forth that was eventually proven to be impossible?
Next, we visit Archimedes!
https://www.elephantlearning.com/post/archimedes-a-mathematician-with-an-obsession
3. What was one of the inventions Archimedes was named after?
4. What are one of his contributions to geometry?
Now, we visit Pythagoras. Most people have heard of him, but do they know the true story?
https://plato.stanford.edu/entries/pythagoras/
5. According to direct evidence, what was Pythagoras famous for during his time?
6. Why might have this misconstruction of Pythagoras' achievements happened?
With a bit of backstory out of the way, we will now learn a bit about actual geometry!
We first head back to the Pythagorean Theorem:
https://www.cuemath.com/geometry/pythagoras-theorem/
7. What is the Pythagorean Theorem?
8. What are one of the methods used to prove the theorem?
Now, we learn a bit about platonic solids!
https://www.britannica.com/science/Platonic-solid
9. What are the platonic solids?
10. Who is credited for their discovery?
Finally, we look at Zeno's Paradoxes!
https://mathworld.wolfram.com/ZenosParadoxes.html
11. Name one of the Paradoxes.
12. Can you think of an answer for any of them (no need for correctness, just give it some thought)?
Evaluation
With the exception of the final part, each question from each article will be graded on correctness, and whether or not they are answered in full sentences. Be sure to read each question carefully, and it should be an easy and enthralling time!
The final question will not be graded on correctness, as the correctness of each answer (or if there are answers for them at all) is debated to this day. I just wanted to give you a chance to exercise your brain muscles!
Conclusion
In conclusion, you should have an idea of who these mathematicians shown are, the definitions of platonic solids and the Pythagorean theorem should be memorized (if not today, then they will be soon!), and hopefully, Zeno's paradoxes made you think a bit more like a mathematician.
Credits
All images sourced by Wikipedia.org
Articles: https://www.elephantlearning.com/post/archimedes-a-mathematician-with-an-obsession
https://plato.stanford.edu/entries/pythagoras/
https://transum.org/Maths/History/Mathematician.asp?ID=2
https://www.cuemath.com/geometry/pythagoras-theorem/