NCTM Mathematics Curriculum Standards for Grades K-4
 Standard 1  Mathematics as Problem Solving Standard 2  Mathematics as Communication Standard 3  Mathematics as Reasoning Standard 13  Patterns and Relationships

Standard 1: Mathematics as Problem Solving

In grades K-4, the study of mathematics should emphasize problem solving so that students can:

1) use problem-solving approaches to investigate and understand mathematical content;
2) formulate problems from everyday and mathematical situations;
3) develop and apply strategies to solve a wide variety of problems;
4) verify and interpret results with respect to the original problem;
5) acquire confidence in using mathematics meaningfully.

Standard 2: Mathematics as Communication

In grades K-4, the study of mathematics should include numerous opportunities for communication so that students can:

1)  relate physical materials, pictures, and diagrams to mathematical ideas;
2) reflect on and clarify their thinking about mathematical ideas and situations;
3) relate their everyday language to mathematical language and symbols;
4) realize that representing, discussing, reading, writing, and listening to mathematics are a vital part of learning and using mathematics.

Standard 3: Mathematics as Reasoning

In grades K-4, the study of mathematics should emphasize reasoning so that students can:

1) draw logical conclusions about mathematics;
2) use models, known facts, properties, and relationships to explain their thinking;
3) justify their answers and solution processes;
4) use patterns and relationships to analyze mathematical situations;
5) believe that mathematics makes sense.

Standard 13: Patterns and Relationships

In grades K-4, the mathematics curriculum should include the study of patterns and relationships so that students can:

1) recognize, describe, extend, and create a wide variety of patterns;
2) represent and describe mathematical relationships;
3) explore the use of variables and open sentences to express relationships.