Mathematics Content Standards for Grades K-12

(From National Council of Teachers of Mathematics, 2000, excerpted from pages 28-71)

PREKINDERGARTEN THROUGH GRADE 121

Number and Operations Standard

Instructional programs from prekindergarten through grade 12 should enable all students to—

  • Understand numbers, ways of representing numbers, relationships among numbers, and number systems;

  • Understand meanings of operations and how they relate to one another;

  • Compute fluently and make reasonable estimates.

Algebra Standard

Instructional programs from prekindergarten through grade 12 should enable all students to—

  • Understand patterns, relations, and functions;

  • Represent and analyze mathematical situations and structures using algebraic symbols;

  • Use mathematical models to represent and understand quantitative relationships;

  • Analyze change in various contexts.

Geometry Standard

Instructional programs from prekindergarten through grade 12 should enable all students to—

  • Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships;

  • Specify locations and describe spatial relationships using coordinate geometry and other representational systems;

  • Apply transformations and use symmetry to analyze mathematical situations;

  • Use visualization, spatial reasoning, and geometric modeling to solve problems.

Measurement Standard

Instructional programs from prekindergarten through grade 12 should enable all students to—

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Excerpted from National Council of Teachers of Mathematics (2000) pages 29-71.



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