The ideas of geometry are used to describe, interpret, represent, and change the spatial world in which we live. The understanding and development of spatial and visual skills strengthens problem-solving abilities. Draw coordinate representations of geometric figures and their transformations. Use inductive and deductive reasoning to explore and determine the properties of and relationships among geometric figures. Apply trigonometry to problem situations involving triangles and periodic phenomena.
Measurement is valuable as an integrating skill throughout the curriculum and in everyday life.
The use of estimation is vital in determining the reasonableness of measurement. Use measurement tools and units appropriately and recognize limitations in the precision of the measurement tools. Derive and use formulas for area, surface area, and volume of many types of figures. Using generalizations, compare the formula for the area of an n-sided, regular polygon to the formula for the area of a circle. Relationships are central to mathematical understanding.