National Council of Teachers of Mathematics

1. National Council of Teachers of Mathematics Principles and Standards for grades pre-K-2

2. Number & Operations Algebra Geometry Measurement Data Analysis & Probability Problem Solving Reasoning & Proof Communication Connections Representation Standards For Grades Pre-K-2 Concrete: Abstract:

3. Number & Operations Understand numbers, ways of representing numbers, relationships among numbers, and number systems

4. Number & Operations Understand meanings of operations and how they relate to one another

5. Number & Operations Compute fluently and make reasonable estimates

6. Algebra Understand patterns, relations, and functions

7. Algebra Represent and analyze mathematical situations and structures using algebraic symbols

8. Algebra Use mathematical models to represent and understand quantitative relationships

9. Algebra Analyze change in various contexts

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

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

12. Geometry Apply transformations and use symmetry to analyze mathematical situations

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

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

15. Measurement Apply appropriate techniques, tools, and formulas to determine measurements

16. Data Analysis & Probability Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them

17. Data Analysis & Probability Select and use appropriate statistical methods to analyze data

18. Data Analysis & Probability Develop and evaluate inferences and predictions that are based on data

19. Data Analysis & Probability Understand and apply basic concepts of probability