ALEX Classroom Resources

   View Standards     Standard(s): [MA2015] AL2 (9-12) 3 :

3 ) (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. [N-CN3]

[MA2015] PRE (9-12) 1 :

1 ) (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. [N-CN4]

[MA2015] ALT (9-12) 3 :

3 ) (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. [N-CN3]

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.

   View Standards     Standard(s): [MA2015] AL2 (9-12) 3 :

3 ) (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. [N-CN3]

[MA2015] PRE (9-12) 1 :

1 ) (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. [N-CN4]

[MA2015] PRE (9-12) 2 :

2 ) (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. [N-CN5]

[MA2015] ALT (9-12) 3 :

3 ) (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. [N-CN3]

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.

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.