1. Ziniah Beasley Shenandoah Valley Academy www.shenandoahvalleyacademy.org/ THE MATH CONNECTION

2. ©2005 Ziniah Beasley WHY DO I NEED ALGEBRA?

3. ©2005 Ziniah Beasley BECAUSE…

4. YOU How Does Algebra Connect To …? ARCHITECTUREMUSIC NATURETECHNOLOGY RELIGIONHISTORY ART -i 1 i ©2005 Ziniah Beasley

5. As we explore some of these areas, ask the Following: WHERE can I use this? WHAT am I looking at? WHO is/are the intelligent designer(s)? HOW is it connected to Algebra?

6. ©2005 Ziniah Beasley Algebra and Art Cycles lithograph (1938) Reptiles lithograph (1938) Where ?!!

7. ©2005 Ziniah Beasley Intelligent Designer : Mauritus C. Escher 1898-1972

8. ©2005 Ziniah Beasley Math Connection: Symmetry Symmetry Tessellations: Tessellations: reflections,translations, and rotations Graphing linear equations in Graphing linear equations in 3-D variables of x, y, z axis

9. ©2005 Ziniah Beasley Algebra and Architecture The Parthenon 448-432 BC Where ?!!

10. ©2005 Ziniah Beasley Intelligent Designers: Greek Architects: IktinosandKallikrates

11. ©2005 Ziniah Beasley Gold Mean: AB/CB=CB/AC ratio of 5:8 The Parthenon used ratio of 4:9 Pythagorean Theorem: The sum of the areas of the squares in the legs of a right triangle is equal to the area of the square on the hypotenuse: a2 + b2 = c2 a2 + b2 = c2 Math Connection:

12. ©2005 Ziniah Beasley Algebra and Music Musikalisches W&uumlrfelspiel (Mozart Musical Dice Game) Where ?!!

13. ©2005 Ziniah Beasley Intelligent Designer: Attributed to: W.A. Mozart 1757-1791

14. ©2005 Ziniah Beasley Math Connection : Laws of Probability

15. ©2005 Ziniah Beasley Algebra and Technology Evolution of Space Flight Where ?!!

16. ©2005 Ziniah Beasley Intelligent Designers:

17. ©2005 Ziniah Beasley Math Connection: Parametric equations and projectile motion: sin θ cos θ tan θ x= vcosθt+ x0 y= vsinθt +y0 Matrices : [a][b]

18. ©2005 Ziniah Beasley Algebra and History NOAH’S ARK AND THE FLOOD Where ?!!

19. ©2005 Ziniah Beasley Intelligent Designer: Intelligent Designer: And God said Unto Noah: “Make Thee an ark of gopher wood; rooms shalt thou make in the ark, and shalt pitch it within and without pitch. And this is the fashion which thou shalt make it of:

20. ©2005 Ziniah Beasley Intelligent Designer: Intelligent Designer: The length of the ark shall be three hundred cubits, the breadth of it fifty cubits, and the height of it thirty cubits.” Genesis 6: 14-15

21. ©2005 Ziniah Beasley Math Connection: What are the dimensions in feet? If 1 cubit = “length of a forearm” = 18 inches = 18 inches 300 cubits long =________ft 50 cubits wide=________ft 30 cubits high=________ft About 450 About 75 About 45

22. ©2005 Ziniah Beasley Algebra and Religion Where ?!! 1 2 4 5 6 3 7

23. ©2005 Ziniah Beasley And God said on the: 1 st Day: “ Let there be light.” 2 nd Day: “Let there be a firmament..” 3 rd Day: “…Let the dry land appear” and Seas. Let the earth bring forth grass, the herb yielding seed, and the fruit tree…” Intelligent Designer: Intelligent Designer:

24. ©2005 Ziniah Beasley Intelligent Designer: Intelligent Designer: And God said on the: 4 th Day: “Let there be lights in the firmament of the heaven to divide the day from the night.” (God made two great lights; the greater light to rule the day, and the lesser light to rule the night) 5 th Day: “Let the waters bring forth abundantly the moving creature that hath life and fowl that may fly above the earth…”

25. ©2005 Ziniah Beasley Intelligent Designer: Intelligent Designer: And God said on the: 6 th Day: “Let the earth bring forth the living creature after his kind, cattle, and creeping thing, and beast of the earth after his kind.” Also, “Let us make man in our image, after our likeness...” 7 th Day: God ended his work which he had made; and He rested. Genesis 1:3,6,9-12,14,16,20,24,27; 2:2

26. ©2005 Ziniah Beasley Math Connection: Natural Numbers: 1,2,3,4,.. Positive Integers: 0,1,2,3,4,5… Whole Numbers: 1,2,3,4,5,6,7,8… Natural Numbers: 1,2,3,4,.. Positive Integers: 0,1,2,3,4,5… Whole Numbers: 1,2,3,4,5,6,7,8…

27. ©2005 Ziniah Beasley Algebra and Nature Where ?!! What do all of these have in common ?

28. ©2005 Ziniah Beasley Math Connection: They have Fibonacci numbers: by adding the last 2 numbers you get 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … Sunflower: 89 & 55 spirals 8 & 5 spirals

29. ©2005 Ziniah Beasley …More Algebra and Nature

30. ©2005 Ziniah Beasley …More Math Connection: The Rainbow can be defined by the Quadratic Functions: The Rainbow can be defined by the Quadratic Functions: Called Parabolas Y= ax 2 + bx +c Studying time, distance and space uses the Scientific Notation : Studying time, distance and space uses the Scientific Notation : c x 10 n, provided 1 <c<10 c x 10 n, provided 1 < c<10 and Limits and Infinity: ∞ and Limits and Infinity: ∞

31. ©2005 Ziniah Beasley Intelligent Designer: Intelligent Designer: Let them praise the name of the Lord. For He commanded, and they were created. He had established them for ever and ever. (Psalm 148:5,6) God made design with order and pattern

32. ©2005 Ziniah Beasley Intelligent Designer: Intelligent Designer: When I consider thy heavens, the work of thy fingers, the moon and the stars, which thou has ordained... Psalm 8:3 I do set my bow in the cloud, and it shall be for a token of a covenant between me and the earth. Genesis 9: 13

33. ©2005 Ziniah Beasley Algebra and YOU Where ?!!

34. ©2005 Ziniah Beasley Intelligent Designer: Intelligent Designer: I will praise thee: for I am fearfully and wonderfully made; marvelous are thy works… Psalm 139:14

35. ©2005 Ziniah Beasley Math Connection: ??

36. ©2005 Ziniah Beasley SUMMARY: We have seen the connection of Algebra in some of the following areas: ArtArchitecture Music NatureTechnologyHistory Religion And with each Algebra topic we will study, we will explore its math connection to you and to our Creator.