Algebra WebQuest

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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

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Last Modified: Thursday, January 01, 2009
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