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Ziniah Beasley

THE MATH

CONNECTION



©2005 Ziniah Beasley

WHY DO I NEED ALGEBRA?




BECAUSE…




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)



YOU

How Does Algebra

Connect To …?

ARCHITECTURE MUSIC

NATURETECHNOLOGY

RELIGIONHISTORY

ART

-i

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1 1

i





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?


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Algebra and Art

Cycleslithograph (1938)

Reptileslithograph (1938)

Where ?!!



Intelligent Designer :

Mauritus C. Escher

1898-1972



Math Connection:

Symmetry

Tessellations:

reflections ,translations, and

rotations

Graphing linear equations in

3-D variables of x, y , z axis



Algebra and Architecture

The Parthenon

448-432 BC

Where ?!!



Intelligent Designers:

Greek Architects:

Iktinos

and

Kallikrates



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:



Algebra and Music

Musikalisches W&uumlrfelspiel

(Mozart Musical Dice Game)

Where ?!!



Intelligent Designer:

Attributed to:

W.A. Mozart

1757-1791



Math Connection :

Laws of Probability



Algebra and Technology

Evolution of Space Flight

Where ?!!



Intelligent Designers:



Math Connection:

Parametric equations

and projectile motion:

sin θ cos θ tan θ x= vcosθt+ x0

y= vsinθt +y0

Matrices : [a][b]



Algebra and History

NOAH’S ARK AND THE

FLOOD

Where ?!!




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:




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




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




Algebra and ReligionWhere ?!!

1 2

4

56

3

7




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: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…”




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




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…




Algebra and NatureWhere ?!!

What do all of these have in common ?




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




…More Algebra and Nature




…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: ∞





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





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




Algebra and YOUWhere ?!!





I will praise thee: for I am

fearfully and wonderfully

made; marvelous are thy

works …

Psalm 139:14




Math Connection:

?



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

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