This is a study guide for the NCTM standards pre-k through second grade.

1. Number and Operations
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.

2. Algebra
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

3. Geometry
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

4. Measurement
Understand measurable attributes of
objects and the units, systems, and
processes of measurement
Apply appropriate techniques, tools,
and formulas to determine
measurements

5. Data Analysis &
Formulate questions that can be
addressed with data and collect, organize,
and display relevant data to answer them
Select and use appropriate statistical
methods to analyze data
Develop and evaluate inferences and
predictions that are based on data
Understand and apply basic concepts of
probability

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

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

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

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

10. Understand patterns,
relations, and functions

11. Algebra
Understand patterns,
relations, and functions

12. Apply transformations
and use symmetry to
analyze mathematical
situations

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

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

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

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

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

18. Compute fluently and
make reasonable
estimates

19. Number and Operations
Compute fluently and
make reasonable
estimates

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

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

22. Understand and apply
basic concepts of
probability

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

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

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

26. Select and use
appropriate statistical
methods to analyze data

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

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

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

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

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

32. Use mathematical
models to represent and
understand quantitative
relationships

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

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

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

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

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

38. Analyze change in
various contexts

39. Algebra
Analyze change in
various contexts