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Mathematics, Standard F: Algebraic Relationships
Performance Standards - Grade 8


By the end of grade eight, students will:

F.8.1 Work with algebraic expressions in a variety of ways, including

  • using appropriate symbolism, including exponents* and variables*
  • evaluating expressions through numerical substitution
  • generating equivalent expressions
  • adding and subtracting expressions

F.8.2 Work with linear and nonlinear patterns* and relationships in a variety of ways, including

  • representing them with tables, with graphs, and with algebraic expressions, equations, and inequalities
  • describing and interpreting their graphical representations (e.g., slope*, rate of change, intercepts*)
  • using them as models of real-world phenomena
  • describing a real-world phenomenon that a given graph might represent

F.8.3 Recognize, describe, and analyze functional relationships* by generalizing a rule that characterizes the pattern of change among variables. These functional relationships include exponential growth and decay (e.g., cell division, depreciation)

F.8.4 Use linear equations and inequalities in a variety of ways, including

  • writing them to represent problem situations and to express generalizations
  • solving them by different methods (e.g., informally, graphically, with formal properties, with technology)
  • writing and evaluating formulas (including solving for a specified variable)
  • using them to record and describe solution strategies

F.8.5 Recognize and use generalized properties and relations, including

  • additive and multiplicative property of equations and inequalities
  • commutativity* and associativity* of addition and multiplication
  • distributive* property
  • inverses* and identities* for addition and multiplication
  • transitive* property

*See Glossary.

Content Standard F


For questions about this information, contact Beverly J. Kniess (608) 266-3706

Last updated on 2/25/2008 1:43:05 PM