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National Standards

MATHEMATICS

Principles and Standards for School Mathematics
NCTM National Council of Teachers of Mathematics

click here to print textPrint text of the all mathematics standards (PDF)



Click on a standard to view the targets and find supporting lessons:

Number and Operations

1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems

2. Understand meanings of operations and how they relate to one another

3. Compute fluently and make reasonable estimates


Algebra

4. Understand patterns, relations, and functions

5. Represent and analyze mathematical situations and structures using algebraic symbols

6. Use mathematical models to represent and understand quantitative relationships

7. Analyze change in various contexts


Geometry

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

9. Specify locations and describe spatial relationships using coordinate geometry and other representational systems

10. Apply transformations and use symmetry to analyze mathematical situations

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


Measurement

12. Understand measurable attributes of objects and the units, systems, and processes of measurement

13. Apply appropriate techniques, tools, and formulas to determine measurements


Data Analysis and Probability

14. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them

15. Select and use appropriate statistical methods to analyze data

16. Develop and evaluate inferences and predictions that are based on data

17. Understand and apply basic concepts of probability


18. Problem Solving

19. Reasoning and Proof

20. Communication

21. Connections

22. Representation

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