## Standards, Mathematical Practices, and 21st Century Skills

*In the 21st century, a vibrant democracy depends on the full, informed participation of all people. We have a vast and rapidly growing trove of information available at any moment. However, being informed means, in part, using one’s sense of number, shape, data and symbols to organize, interpret, make and assess the validity of claims about quantitative information.*

Mathematics is indispensable for understanding our world. In addition to providing the tools of arithmetic, algebra, geometry and statistics, it offers a way of thinking about patterns and relationships of quantity and space and the connections among them. Mathematical reasoning allows us to devise and evaluate methods for solving problems, make and test conjectures about properties and relationships, and model the world around us.

- Colorado Department of Education

**In short, informed members of society know and do mathematics.**Mathematics is indispensable for understanding our world. In addition to providing the tools of arithmetic, algebra, geometry and statistics, it offers a way of thinking about patterns and relationships of quantity and space and the connections among them. Mathematical reasoning allows us to devise and evaluate methods for solving problems, make and test conjectures about properties and relationships, and model the world around us.

- Colorado Department of Education

The overall Colorado Mathematics Academic Standards are comprised of three components - the academic standards, mathematical practices, and 21st century skills. Learn about each of these components from the links below.