Academic Context and Connections
Finer grained standards that are part of this one
Reason abstractly and quantitatively.
In Grade 8, students relate the slope triangles of a line to proportions and similarity, and they apply the Pythagorean theorem to determine distances in the coordinate plane.
This expectation represents major work of high school and includes a modeling (★) outcome.
What mathematical concepts and tools become available when coordinates are applied to geometric figures?
Look for and make use of structure.
Construct viable arguments and critique the reasoning of others.
In high school, students prove theorems using coordinates, and they use algebraic and geometric concepts to connect the equations of conic sections and their corresponding graphs.