The study of functions, equations, and their relationship is central to all of mathematics. Students use functions, equations, and limits as useful tools for expressing generalizations and as means for analyzing and understanding a broad variety of mathematical relationships. Symbolic representation and symbolic reasoning are tools that can be used to represent and connect ideas in geometry, probability, statistics, trigonometry, and calculus. Students perceive the connections among various branches of mathematics through functions in order to model real-world situations. Techniques for working with representations of functions and equations are essential in understanding underlying relationships.
Many processes underlie all content areas in mathematics.
I curriculum as they expand their understanding through other mathematical experiences. Mathematical reasoning is a powerful tool that allows us to recognize patterns and structure and model information. Students use algebraic, graphical, and geometric reasoning to solve problems from various disciplines. 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.