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. Geometry can be used to model and represent many mathematical and real-world situations. Students perceive the connection between geometry and the real and mathematical worlds and use geometric ideas, relationships, and properties to solve problems. Techniques for working with spatial figures and their properties are essential in understanding underlying relationships.
Many processes underlie all content areas in mathematics.
The student understands the structure of, and relationships within, an axiomatic system. The student analyzes geometric relationships in order to make and verify conjectures. The student understands the importance of logical reasoning, justification, and proof in mathematics. The student uses a variety of representations to describe geometric relationships and solve problems. Dimensionality and the geometry of location.