Transcript Kacie Raymondx

Math 20-2:
Research Project
By: Kacie Raymond
What is it???
Why are you interested?
I am interested in Algebra because this is my
favorite unit. Its kind of fun sometimes. I like this
unit because I sometimes understand what to
do.
Explain the importance
Science
• When doing any form of science, whether just a
project or a lifetime career choice, you will have to
be able to do and understand how to use and apply
algebra.
Every day life
• Formulas are a part of our lives. Whether we drive a
car and need to calculate the distance, or need to
work out the volume in a milk container
The History
• Algebra came from Egypt and Babylon, about 5000
years old.
• The ancient Egyptians used words 'aha', meaning
'heap', to mean an unknown number. In the same
way, we might use the letter x today.
• For 500 years algebra was 'the theory of equations',
• In the 19th century people realized that symbols in
algebra could represent more than just numbers.
Egyptian Algebra
• Problems were stated and solved verbally.
• Algebra used no symbols
• Founded in 1650 B.C
The Egyptians used their algebraic skills during
the building of the Great Pyramid of Giza.
The Egyptians were the first civilization to
develop and solve second-degree, quadratics
and equations.
Egyptians Decimal System
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1: shown by a single stroke
10: is shown by drawing of a hobble for cattle
100: a coil of rope
1,000: a drawing of a lotus plant
10,000: represented by a finger
100,000: by a tadpole or frog
1,000,000: is the figure of a god with arms raised
above his heads.
Babylonian Algebra
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Equations were solved with no symbols
Were taught through examples
No explanations
Our knowledge of Babylonian Algebra is from 400
clay tablets unearthed
Greek Geometrical Algebra
• They learned algebra from Egypt.
• The Greek believed that:
- Negative and complex solutions of
equations were rejected as “absurd” or
“impossible”.
-irrational numbers existed but refused to
consider them as numbers. They went to great
lengths to avoid them.
Diophantine Algebra
• Diophantine was named after the Greek
mathematician "Diophantus of Alexandria."
• Many argue that Diophantus should hold the
title of 'The Father of Algebra' which was
originally given to him
• Several years later, it was argued that
Muḥammad ibn Mūsā al-Khwārizmī should
hold the title, and so it was given to him
instead.
Hindu Algebra
• Most all Hindu mathematics was devoted to
astronomy and astrology.
• They used symbols
• There is a symbol that denotes the unknown,
when solving algebraic equations.
• Introduced negative numbers to represent
debt
The Importance
- Basic algebra is the first in a series of higherlevel math classes students need to succeed in
college life.
- According to a study by the educational
nonprofit ACT, students who take algebra, are
much more likely to do well in college math.
Calculations/Diagrams
(Know)
(Know)
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Did you calculate??
(Know) (Know)
(Know)
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(Know)
• It is believed that priests used
mathematics and algebra
along side their religious
rituals.
Conclusion
• I learned…..
-that there are different types of algebra.
- that in Hindu algebra they spoke the
problems and solved them verbally.
- that priests use algebra in church.
- people learned about algebra from some
rocks that had equations on them.
- that there was a fight between two
mathematicians just for the title “the father of
algebra”
List of Resourses
• http://www.math-problem-solving.com/algebra_history.html
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"math problem solving." math problem solving. N.p.. Web. 7 Jun 2013.
<http://www.math-problem-solving.com/algebra_history.html>.
• http://www.ucs.louisiana.edu/~sxw8045/history.htm
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"the history of algebra." Highlights in the history of Algebra. N.p.. Web. 7 Jun 2013.
<http://www.ucs.louisiana.edu/~sxw8045/history.htm>.
• http://prezi.com/u0ynxkdzchs3/history-on-egyptianalgebra/?utm_source=website&utm_medium=prezi_landing_related
&utm_campaign=prezi_landing_related_author
•
Shannon, Tori. "Egyptian algebra." History on egyptian algebra. N.p., 18 september 2012.
Web. 7 Jun 2013. <http://prezi.com/u0ynxkdzchs3/history-on-egyptianalgebra/?utm_source=website&utm_medium=prezi_landing_related&utm_campaign=prezi
_landing_related_author>.
• http://www.algebra.com/algebra/about/history/
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"history of algebra." history of algebra. N.p.. Web. 7 Jun 2013.
<http://www.algebra.com/algebra/about/history/>.
• http://en.wikipedia.org/wiki/Algebra
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"algebra." algebra. N.p.. Web. 7 Jun 2013. <http://en.wikipedia.org/wiki/Algebra>.