Students first receive an introduction to the imaginary unit 𝑖 and develop an algebraic and geometric understanding of the complex numbers (N-CN.A.1). Notice that at this level, mathematical tools needed to define the complex numbers are unavailable just as they are unavailable for defining the real numbers; however, students can describe them, understand them, and use them.
The lesson then underscores that complex numbers satisfy the same properties of operations as real numbers (N-CN.A.2). Finally, students perform exercises to reinforce their understanding of and facility with complex numbers algebraically. This lesson ties into the work in the next lesson, which involves complex solutions to quadratic equations (N-CN.C.7).
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