## Algebra WebQuest

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## Standards

```National Council of Teachers of Mathematics (NCTM) Standards
Visit http://www.nctm.org/ to view the standards.
Instructional programs from prekindergarten through grade 12 should enable all students

to organize and consolidate their mathematical thinking through communication;
to communicate their mathematical thinking coherently and clearly to peers, teachers, and
others;

to analyze and evaluate the mathematical thinking and strategies of others;
to use the language of mathematics to express mathematical ideas precisely.

California State Mathematics Standards

1.0 Students identify and use the arithmetic properties of subsets of integers
and rational, irrational, and real numbers, including closure properties for
the four basic arithmetic operations where applicable:
1.1 Students use properties of numbers to demonstrate whether
assertions are true or false.
2.0 Students understand and use such operations as taking the opposite,
finding the reciprocal, taking a root, and raising to a fractional power.
They understand and use the rules of exponents.
4.0 Students simplify expressions before solving linear equations and inequalities
in one variable.
5.0  Students solve multistep problems, including word problems, involving linear
equations and linear inequalities in one variable and provide justification
for each step.
11.0 Students apply basic factoring techniques to second- and simple third-degree
polynomials. These techniques include finding a common factor for all terms in a polynomial,
recognizing the difference of two squares, and recognizing perfect squares of binomials.
14.0 Students solve a quadratic equation by factoring or completing the square.
19.0 Students know the quadratic formula and are familiar with its proof by
completing the square.
20.0 Students use the quadratic formula to find the roots of a second-degree
polynomial and to solve quadratic equations.
25.0 Students use properties of the number system to judge the validity of results, to
justify each step of a procedure, and to prove or disprove statements:
25.2 Students judge the validity of an argument according to whether the properties
of the real number system and the order of operations have been applied correctly at each step.

Mid-continent Research for Education and Learning (McREL)
McREL's Content Knowledge: A Compendium of Standards and Benchmarks for K-12 Education
addresses 14 content areas. To view the standards and benchmarks, visit http://www.mcrel.org/compendium/
browse.asp.

Mathematics: Understands and applies basic and advanced properties of
functions and algebra
World History: Understands how Islamic civilization contributed to mathematics
```