Measuring is a procedure that includes the concepts of area, volume, perimeter, and circumference. It also includes the for-mulas that may be applied to calculate them. Much of the content of trigonometry and statistics is included in this key idea. Measurement is a major mathematics key idea that connects with science, technology, and social studies. Mathematical Reasoning Students use mathematical reasoning to analyze mathematical situations, make conjectures, gather evidence, and construct an argument.
Mathematical analysis is an integral part of problem solving.
As a result, this key idea cuts across the content in all the other key ideas. At the elementary level, it includes the concept of pattern and at the high school level includes the con-cepts of logical terms such as and, or, not, if. As a result, it includes the use of variables, modeling relationships both algebraically and graphically, and appropriate use of functions. Number and Numeration Students use number sense and numeration to develop an understanding of the multiple uses of numbers in the real world, the use of numbers to communicate mathematically, and the use of numbers in the development of mathematical ideas. Although number and numeration deal heavily with number concepts of whole numbers, fractions, decimal fractions, ratios, percents, integers, and irrational numbers, this key idea also includes procedures for ordering numbers and applying them to real-world situations.