Download - Math Beasley
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 1/37
Ziniah Beasley
THE MATH
CONNECTION
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 2/37
©2005 Ziniah Beasley
WHY DO I NEED ALGEBRA?
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 3/37
©2005 Ziniah Beasley
BECAUSE…
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 4/37
©2005 Ziniah Beasley
BECAUSE…
It can tell you about…
the skyrocketing cost of collegeeducation (P.1-ex 2)
Your Workouts: p3
Apologizing to a friend for a blunder
(p 15) The meaning of our national debt
that exceeds $14.294 trillion (p 30)
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 5/37
YOU
How Does Algebra
Connect To …?
ARCHITECTURE MUSIC
NATURETECHNOLOGY
RELIGIONHISTORY
ART
-i
-
1 1
i
©2005 Ziniah Beasley
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 6/37
©2005 Ziniah Beasley
As we explore some of theseareas, 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?
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 7/37 ©2005 Ziniah Beasley
Algebra and Art
Cycleslithograph (1938)
Reptileslithograph (1938)
Where ?!!
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 8/37 ©2005 Ziniah Beasley
Intelligent Designer :
Mauritus C. Escher
1898-1972
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 9/37 ©2005 Ziniah Beasley
Math Connection:
Symmetry
Tessellations:
reflections ,translations, and
rotations
Graphing linear equations in
3-D variables of x, y , z axis
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 10/37 ©2005 Ziniah Beasley
Algebra and Architecture
The Parthenon
448-432 BC
Where ?!!
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 11/37 ©2005 Ziniah Beasley
Intelligent Designers:
Greek Architects:
Iktinos
and
Kallikrates
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 12/37 ©2005 Ziniah Beasley
Gold Mean: AB/CB=CB/ACratio of 5:8The 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 squareon the hypotenuse:a2 + b2 = c2
Math Connection:
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 13/37 ©2005 Ziniah Beasley
Algebra and Music
Musikalisches Würfelspiel
(Mozart Musical Dice Game)
Where ?!!
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 14/37 ©2005 Ziniah Beasley
Intelligent Designer:
Attributed to:
W.A. Mozart
1757-1791
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 15/37 ©2005 Ziniah Beasley
Math Connection :
Laws of Probability
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 16/37 ©2005 Ziniah Beasley
Algebra and Technology
Evolution of Space Flight
Where ?!!
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 17/37 ©2005 Ziniah Beasley
Intelligent Designers:
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 18/37 ©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]
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 19/37 ©2005 Ziniah Beasley
Algebra and History
NOAH’S ARK AND THE
FLOOD
Where ?!!
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 20/37 ©2005 Ziniah Beasley
Intelligent Designer:
And God said Unto Noah:
“Make Thee an ark of gopher
wood; rooms shalt thou makein the ark, and shalt pitch it
within and without pitch.
And this is the fashion which
thou shalt make it of:
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 21/37 ©2005 Ziniah Beasley
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
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 22/37
©2005 Ziniah Beasley
Math Connection:
What are the dimensions in feet?
If 1 cubit = “length of a forearm”
= 18 inches
300 cubits long =________ft
50 cubits wide =________ft
30 cubits high =________ft
About 450
About 75
About 45
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 23/37
©2005 Ziniah Beasley
Algebra and ReligionWhere ?!!
1 2
4
56
3
7
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 24/37
©2005 Ziniah Beasley
And God said on the:
1st Day: “ Let there be light.”
2nd
Day: “Let there be a firmament..”
3rd Day: “…Let the dry land appear”
and Seas. Let the earth bring forthgrass, the herb yielding seed, and the
fruit tree…”
Intelligent Designer:
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 25/37
©2005 Ziniah Beasley
Intelligent Designer:And God said on the:
4th 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)
5th Day: “Let the waters bring forthabundantly the moving creature that hath
life and fowl that may fly above the
earth…”
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 26/37
©2005 Ziniah Beasley
Intelligent Designer:And God said on the:
6th 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...”
7th 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
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 27/37
©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…
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 28/37
©2005 Ziniah Beasley
Algebra and NatureWhere ?!!
What do all of these have in common ?
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 29/37
©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
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 30/37
©2005 Ziniah Beasley
…More Algebra and Nature
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 31/37
©2005 Ziniah Beasley
…More Math Connection: The Rainbow can be defined by the Quadratic Functions:
Called Parabolas
Y= ax2 + bx +c
Studying time, distance and space
uses the Scientific Notation :c x 10n, provided 1 < c<10
and Limits and Infinity: ∞
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 32/37
©2005 Ziniah Beasley
Intelligent Designer:
Let them praise the name of theLord. For He commanded, and they
were created. He had establishedthem for ever and ever. (Psalm
148:5,6)
God made design with order and pattern
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 33/37
©2005 Ziniah Beasley
Intelligent Designer:
When I consider thy heavens, thework of thy fingers, the moon andthe 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 covenantbetween me and the earth.
Genesis 9: 13
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 34/37
©2005 Ziniah Beasley
Algebra and YOUWhere ?!!
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 35/37
©2005 Ziniah Beasley
Intelligent Designer:
I will praise thee: for I am
fearfully and wonderfully
made; marvelous are thy
works …
Psalm 139:14
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 36/37
©2005 Ziniah Beasley
Math Connection:
?
8/3/2019 Math Beasley
http://slidepdf.com/reader/full/math-beasley 37/37
SUMMARY:
We have seen the connection of Algebra in some of
the following areas:
Art Architecture MusicNature Technology History
Religion
And with each Algebra topic we will study,
we will explore its math connection to you
d t C t