1. An educational activity developed by: Joshua Goodwin

2. Before you get started:Common buttons you will use: This activity concerns the history of 3 aspects of mathematics. Algebra, Geometry, and Calculus. You will be asked to select one, learn the material, and answer a few questions. After completion there will be a printable certificate for you to submit to your instructor. Orientation Home Button: returns you to the home menu. Forward Button: Takes you to the next slide. Back Button: Takes you to the previous slide. Quiz Button: Takes you directly to the quiz page. If you are in a lesson it will take you to the corresponding quiz.

3. Almost everyone at some point in there school career has said to themselves or their teachers, “What’s the point in this! Why do I have to learn it?” This activity will shed some light onto why these subjects were created. By the end, hopefully, you’ll be able to answer the previous questions on your own. WHY MATH?!

4. The General Outline : The basics of this will explain: Orientation Who created it? Why it was created? How it has effected modern life?

5. HOME MENU Please Choose a Discipline AlgebraGeometry Calculus

6. QUIZ MENU Which quiz would you like to take? Algebra Geometry Calculus

7. Who Invented it?

8. Who? Algebra was actually developed over 1000’s of years ago from several ancient civilizations from the Babylonian's to the Greek’s. However, all of there methods were phrased in geometric terms. ALGEBRA

9. Who? In 820 AD. a Muslim scientist, named Al-Khwarzimi, wrote a book organizing all the ancient algebra into a “deductive science”. The term algebra (al-jabr) comes from Arabic meaning equation. Our term Algorithm is derived from his name. He was the first to use zero as a number, and organized most of the basic algebra we use today. ALGEBRA

10. But why? No algebra was not invented to give you a headache. So what were the problems of the time that required its creation?

11. Why? Basically simple arithmetic can help solve for one variable. For example; this many chickens at this price is how much? ALGEBRA

12. Why? The invention (or completion) of algebra allowed for multivariable problems to be solved, or one variable in complex ways. This made vast advancements in the fields of engineering and astronomy. ALGEBRA

13. So how has this helped or influenced modern day? Without algebra, many things wouldn’t be around today.

14. How has it helped? Many things are enhanced, or created even, from the use of algebra. Economics Temperature Chemistry Architecture ALGEBRA

15. Now that you have a better understanding of Algebra, Please take the time to write a few sentences describing other uses, (other than the examples you just read) of how this discipline is used in modern day. When finished click Forward to continue. ALGEBRA

16. Now lets review. Here’s a brief video of what you’ve just learned. ALGEBRA

17. 1.) Who is considered the father of algebra? ALGEBRA Quiz Time! A. Albert Einstein B. Winston Churchill C. Al-Khwarzimi

18. Sorry that’s incorrect… But don’t give up yet!! ALGEBRA

19. You got it!! Keep going your doing great. ALGEBRA

20. 2.) Which of the following is a modern use of algebra? ALGEBRA Quiz Time! A. Economics B. Chemistry C. astronomy D. All of the above

21. While that is a benefit, is it the only one? ALGEBRA

22. You got it!! Keep going your doing great. ALGEBRA

23. 3.) Before algebra there was basic arithmetic. What did algebra enable that arithmetic did not? ALGEBRA Quiz Time! A. It allowed for the use of irrigation. B.It allowed for the ability to find sidesIt allowed for the ability to find sides of a triangle. C.It allowed for the solving of multivariableIt allowed for the solving of multivariable equations.

24. Sorry that’s incorrect… Give it one more try!! ALGEBRA

25. Congratulations! You’ve successfully completed “A Brief History of Algebra” Now try the other disciplines and learn just why you need all this math anyway! ALGEBRA Certificate

26. Who Invented it?

27. Who? The basics of geometry have been around for thousands of years, Even before algebra. This is made apparent by many ancient structures such as the pyramids. GEOMETRY

28. Who? It wasn’t until Greek mathematicians starting in the 6 th century, did geometry come together. First was Thales. He is the man who decided that reasoning should play the central role over experimentation. GEOMETRY He’s the one you can blame for proofs!

29. Who? Next came Pythagoras. Mainly known for his work with right triangles. But the Pythagoreans added much more than that. Expanding to trigonometry, Pythagoras took geometry further into the higher levels of math. Including a far more accurate approximation for pi. GEOMETRY

30. Who? Along side Pythagoras was a man named Euclid. Known as the father of geometry, he gathered all prior mathematical information, added his own, and wrote a complete book called “The Elements.” He proposed ALL math should be proofed. GEOMETRY

31. Who? Last on our list is Archimedes and Apollonius. GEOMETRY Apollonius: mastered conic sections, where you get your nasty hyperbolas, ellipses, parabolas and circles Archimedes: devised ways of calculating areas a volumes of shapes.

32. Knowledge check! Who is the “father of Geometry”? GEOMETRY A. Archimedes B. Euclid C. Plato

33. Sorry that’s not quite it… But don’t give up yet, you’ll get it this time!! GEOMETRY

34. You got it!! Let’s keep learning!. GEOMETRY

35. But why? So I know what you’re thinking. If geometry came before algebra, why did they make it? …..That's what you were thinking wasn’t it?!

36. Why? Well you certainly know the Egyptians built pyramids, and many cultures built houses and buildings. The Greeks however wanted to be able to measure angles, distances and height. This all to better improve their society of flourishing Rome. Not only did the invention of geometry help with measuring various things from pyramids to planets. It also introduced deductive reasoning as a way of life. You use it everyday in decision making. Making an argument requires Proofs. Also noteworthy is that after the creation of geometry points and lines had to obey rules and conclusions are easily verified (through proofs). GEOMETRY

37. So how has this helped or influenced modern day? Yes besides what was just stated in the past few slides!

38. How has it helped? Miraculous buildings. Flight. Satellites. Moon landing. All of which would not be possible without the creation of geometry Buildings Flight Satellites Moon Landing GEOMETRY

39. Now that you have a better understanding of Geometry, please take the time to write a few sentences describing other uses, (other than the examples you just read) of how this discipline is used in modern day. When finished click Forward to continue. GEOMETRY

40. Now lets review. Here’s a brief video of what you’ve just learned. GEOMETRY

41. 1.) Who developed conic sections? GEOMETRY Quiz Time! A. Archimedes B. Apollonius C. Atriumes

42. Sorry that’s incorrect… But don’t give up yet!! GEOMETRY

43. You got it!! Keep going your doing great. GEOMETRY

44. 2.) Which of the following are two benefits of geometry? (Select two) GEOMETRY Quiz Time! A. Satellites B. Video games C. Horticulture D. Flight

45. Sorry that’s incorrect… But don’t give up yet!! GEOMETRY

46. You got it!! Keep going your doing great. GEOMETRY

47. 3.) Why was Euclid considered the father, and not the other founders? GEOMETRY Quiz Time! A. He was the best looking one. B.He was the first person to compile all the math into one book.He was the first person to compile all the math into one book. C.He was elected father by the other foundersHe was elected father by the other founders

48. Sorry that’s incorrect… But don’t give up yet!! GEOMETRY

49. Congratulations! You’ve successfully completed “A Brief History of Geometry” Now try the other disciplines and learn just why you need all this math anyway! GEOMETRY Certificate

50. Who Invented it?

51. Who? There are actually two people accredited with creating calculus: Sir Isaac Newton, and Gottfried Leibniz. Essentially bother were accused of stealing each others work. However, both add much to, and greatly expanded, the realm of math! CALCULUS

52. But why? So why did these two have the need to create calculus. Surely no one has ever been THAT bored!

53. Why? As much as algebra and geometry helped the math world, it was mainly concerned with notation. These two gentlemen were interested in more practical and theoretical matters. For example rates of change and volumes. CALCULUS

54. Why? The invention of calculus lead initially to two main subjects. Finding rates of change and Areas under a curve CALCULUS

55. Well that seems simple enough, right? I know, I know… But then why is it so important?

56. How has it helped? Basically calculus has greatly helped in virtually every area of science. In Engineering for example it shows: rates of change Velocity and Acceleration and Forces and Torque CALCULUS

57. How has it helped? It also allows us to find the volumes of unorthodox (or irregular) shapes, and maximum and minimum values: area under a curve Volumes of unorthodox shapes and Max and min amounts CALCULUS

58. Now that you have a better understanding of Calculus, Please take the time to write a few sentences describing other uses, (other than the examples you just read) of how this discipline is used in modern day. When finished click Forward to continue. CALCULUS

59. Now lets review. Here’s a brief video of what you’ve just learned. CALCULUS

60. 1.) Who created Calculus CALCULUS Quiz Time! A. Sir Isaac Newton B. Gottfried Leibniz C. Both A & B D. Neither A or B

61. Yes he was one of the creators… But is that the best answer? CALCULUS

62. You got it!! Keep going your doing great. CALCULUS

63. Sorry that’s incorrect… But don’t give up yet!! CALCULUS

64. 2.) Which of the following is a modern use of Calculus? CALCULUS Quiz Time! A. Agriculture B. Engineering C. Typing D. All of the above

65. Sorry that’s incorrect… But don’t give up yet!! CALCULUS

66. You got it!! Keep going your doing great. CALCULUS

67. 3.) How has being able to find Instantaneous Rates of Change helped engineering? CALCULUS Quiz Time! A. It enables you to calculate torque. B.It allows crewman be safer during construction on a skyscraper.It allows crewman be safer during construction on a skyscraper. C.It allowed for the solving of multivariableIt allowed for the solving of multivariable equations.

68. Sorry that’s incorrect… But don’t give up yet!! CALCULUS

69. Congratulations! You’ve successfully completed “A Brief History of Calculus” Now try the other disciplines and learn just why you need all this math anyway! And if you’ve done all the others, then you should start working on actual math problems! CALCULUS Certificate

70. Print this for your teacher to sign!