Shute, Ramie Merrill, and Jen Button
E1 E2 H3
|This unit focuses on coordinate geometry.
Just as Rene Descartes’ (1596-1650) work in coordinate geometry
permitted both algebra and geometry move forward, the introduction
of coordinate geometry in Course 2 of the Contemporary Mathematics
in Context curriculum advances the algebra and geometry concepts begun
in Course 1. The representations of shapes in the plane and of transformations
in the plane now are explored systematically using coordinate geometry.
Coordinate models also lead to a simple, yet powerful, base for compute
animations. In the case of algebra, coordinate geometry permits a
closer look at linear models and their properties. Systems of linear
equations are revisited from an algebraic point of view, and the geometry
of systems of linear equations is studied, leading to the linear combination
method of solving systems. The use of matrices as a representation
tool is extended to describing shapes and transformations, thereby
underscoring the connectedness of strands within the curriculum and
the utility of matrices as a connector.