Module 1, Topic A begins the study of linearity by looking at common misconceptions made by math students. This study leads to complex solutions which launch the study of products, quotients of complex numbers, and the use of conjugates to find moduli and quotients. The topic ends as students classify real and complex functions that satisfy linearity conditions.
Note: This module is identified as Precalculus and Advanced Topics in the EngageNY curriculum. It also corresponds to the Algebra II and Algebra II with Trigonometry Alabama Courses of Study.
In Module 1, Topic B, students develop an understanding that when complex numbers are considered points in the Cartesian plane, complex number multiplication has the geometric effect of a rotation followed by dilations in the complex plane.