The Wall Street Journal, a famous magazine
read by businessmen and people in finance and related fields, is said to have
published an article on June 16, 1998, which said the following:

... algebra
is what teachers call a gatekeeper course; you have to go through it to reach
the possibilities beyond. Algebra is

the language of
math and science, 'the language of problem solving,' says University of Chicago
math professor Zalman Usiskin.

It deals in
abstractions—using letters to generalize math operations—that expand thinking
skills.

That algebra develops abstract thinking skills can be seen in many
ways. Algebraic expressions and equations, for example, serve as models for
interpreting and making inferences about data.

In the previous unit we learned about linear equations. In this
activity, we begin learning about another set of equations, called quadratic
equations. We will do so by reading some websites that provide an overview of
quadratic equations. As you read each website (listed under Resources below),
you will look for answers to some questions (also listed below). After
answering all of the questions, answer the Big Question.

You will do this activity in groups of three. Be usre to help each
other answer the questions and understand the basics of quadratic equations.

1. What is the standard form of a quadratric
equation?

2. What are the ways of finding the roots of a
quadratic equation?

- Solve for the roots in
x
^{2}– 5x + 6 = 0 by factoring. - Using the method of
completing the square, what are the values of x in

x^{2
}+ 2x = 1?

- What are the possible
values of x in x
^{2}= 225 using the method called extracting square roots? - What are the roots of
a quadratic equation x2 + 3x – 10 = 0 by the use of a quadratic formula?
- In an equation x2 + 3x
+ 1 = 0, what is the value of the discriminant?

http://mathworld.wolfram.com/QuadraticEquation.html

The Standard form of a Quadratic Equation

http://www.math.utah.edu/online/1010/quadeq/

Ways of Finding the Roots of a Quadratic
Equation

http://mathforum.org/library/drmath/view/62884.html

Steps in Finding the Roots of a Quadratic
Equation by Factoring

http://www.sparknotes.com/math/algebra2/factoring/section1.html

Steps in Finding the Roots of a Quadratic
Equation by Completing the Square

http://www.purplemath.com/modules/sqrquad.htm

Finding the Roots of a Quadratic Equation
by Extracting Square Roots Quadratic Equations and Parabolas

http://www.algebra.com/algebra/homework/quadratic/

History of Algebra and Trigonometry

http://www.pbs.org/empires/islam/innoalgebra.html

http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Quadratic_etc_equations.html

Real Life Uses of Quadratic Equations

http://mathforum.org/library/drmath/view/60810.html

http://www.chem.tamu.edu/class/fyp/mathrev/mr-quadr.html

http://www.pbs.org/teachersource/mathline/concepts/designandmath/activity3.shtm

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Authored by M. Amorin and P. Arinto