Students study algebraic concepts and the relationships among them to better understand the structure of algebra. The study of functions, equations, and their relationship is central to all of mathematics. Students perceive functions and equations as means for analyzing and understanding a broad variety of relationships and as a useful tool for expressing generalizations. Students perceive the connections between algebra and geometry and use the tools of one to help solve problems in the other. Techniques for working with functions and equations are essential in understanding underlying relationships.
Many processes underlie all content areas in mathematics.
Students continue to build on this foundation as they expand their understanding through other mathematical experiences. Students use geometric thinking to understand mathematical concepts and the relationships among them. Geometry consists of the study of geometric figures of zero, one, two, and three dimensions and the relationships among them. Students study properties and relationships having to do with size, shape, location, direction, and orientation of these figures. The relationship between geometry, other mathematics, and other disciplines.