National Council for Teachers of Mathematics (NCTM)

Curriculum and Evaluation Standards for School Mathematics
and relevant benchmarks from Benchmarks for Science Literacy

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Introduction

Grades K-4

Standard 1: Mathematics as Problem Solving
Standard 2: Mathematics as Communication
Standard 3: Mathematics as Reasoning
Standard 4: Mathematical Connections
Standard 5: Estimation
Standard 6: Number Sense and Numeration
Standard 7: Concepts of Whole Number Operations
Standard 8: Whole Number Computation
Standard 9: Geometry and Spatial Sense
Standard 10: Measurement
Standard 11: Statistics and Probability
Standard 12: Fractions and Decimals
Standard 13: Patterns and Relationships

Grades 5-8

Standard 1: Mathematics as Problem Solving
Standard 2: Mathematics as Communication
Standard 3: Mathematics as Reasoning
Standard 4: Mathematical Connections
Standard 5: Number and Number Relationships
Standard 6: Number Systems and Number Theory
Standard 7: Computation and Estimation
Standard 8: Patterns and Functions
Standard 9: Algebra
Standard 10: Statistics
Standard 11: Probability
Standard 12: Geometry
Standard 13: Measurement

Grades 9-12

Standard 1: Mathematics as Problem Solving
Standard 2: Mathematics as Communication
Standard 3: Mathematics as Reasoning
Standard 4: Mathematical Connections
Standard 5: Algebra
Standard 6: Functions
Standard 7: Geometry from a Synthetic Perspective
Standard 8: Geometry from an Algebraic Perspective
Standard 9: Trigonometry
Standard 10: Statistics
Standard 11: Probability
Standard 12: Discrete Mathematics
Standard 13: Conceptual Underpinnings of Calculus
Standard 14: Mathematical Structure