**1**To describe the set of complex numbers.**2**To determine the characteristics of complex numbers.**2.1**Research relevant historical aspects in the study of complex numbers.**2.2**Determine complex numbers as numbers that can be represented as the sum of a real number and an imaginary number.**2.3**Identify real numbers as a subset of complex numbers.**2.4**Represent real numbers and imaginary numbers as complex numbers.**2.5**Propose a second-degree equation based on the solutions provided.**2.6**Research the applications of complex numbers to their environment.

**3**To describe complex numbers in the plane geometrically.**3.1**Identify the representation of a complex number in the complex plane.**3.2**Locate complex numbers in the complex plane.**3.3**Represent the opposite and conjugate of a complex number graphically.**3.4**Determine the binomial form of a point located in the complex plane.**3.5**Use interactive programs to represent complex numbers in the plane.

**4**To find the conjugate of a complex number.**4.1**Find the conjugate of a complex number.**4.2**Identify the conjugate of a complex number in the complex plane.**4.3**Interpret the properties of the conjugate of a complex number.**4.4**Demonstrate the properties of the conjugate of a complex number.

**5**To find the norm of a complex number.**5.1**Recognize the norm of a complex number as the distance from the point representing the number to the origin of the complex plane.**5.2**Deduce the formula to find the norm of a complex number.**5.3**Find the norm of a complex number.

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