Mathematical methods for solving realistic applied problems can be powerful, practical, and aesthetically pleasing. Students work with applications of mathematics including money, data, chance, patterns, music, design, and science. Mathematical models have proven indispensable in a wide variety of applications that are not ordinarily seen as mathematical. Students use ideas from algebra, geometry, probability, and statistics and connections among these to solve problems involving advanced mathematical applications. Working with applied problems links modeling techniques and purely mathematical concepts.
Many processes underlie all content areas in mathematics.