Academic Context and Connections
Finer grained standards that are part of this one
Beginning in Grade 5, students plot points on the coordinate plane. By Grade 8, students graph the solutions to linear equations and linear inequalities. The complex plane extends that knowledge to include complex solutions.
How can the rectangular and polar forms of real and imaginary numbers represent the same number?
This expectation represents advanced (+) work of high school.
Look for and make use of structure.
How is distance on the complex plane similar to and different from distance on the Cartesian coordinate system?
Beyond high school, complex numbers are used in advanced work such as the study of quantum physics and modeling AC electricity.
Attend to precision.