National Council for Teachers of Mathematics

Curriculum Standards

• model situations using oral, written, concrete, pictorial, graphical, and algebraic methods;
• reflect on and clarify their own thinking about mathematical ideas and situations;
• develop common understandings of mathematical ideas, including the role of definitions;
• use the skills of reading, listening, and viewing to interpret and evaluate mathematical ideas;
• discuss mathematical ideas and make conjectures and convincing arguments;
• appreciate the value of mathematical notation and its role in the development of mathematical ideas.

• describe, model, draw, and classify shapes;
• investigate and predict the results of combining, subdividing, and changing shapes;
• develop spatial sense;
• relate geometric ideas to number and measurement ideas;
• recognize and appreciate geometry in their world.

• understand the attributes of length, circumference, and area;
• develop the process of measuring and concepts related to units of measurement;
• make and use measurements in problem and every day situations.

• extend their understanding of the process of measurement;
• estimate, make, and use measurements to describe and compare phenomena;
• select appropriate units and tools to measure to the degree of accuracy required in a particular situation;
• understand the structure and use of systems of measurement;
• extend their understanding of the concepts of perimeter, area, volume, angle measure, capacity, and weight and mass;
• develop the concepts of rates and other derived and indirect measurements;
• develop formulas and procedures for determining measures to solve problems.