**1.**To establish the set of real numbers based on their properties.**2.**To recognize the set of real numbers based on historical processes.**2.1**Research the history and importance of real numbers in mathematical processes.**2.1.**Research the history and importance of real numbers in mathematical processes.**2.2.**Research the origin of imaginary numbers and their difference with real numbers.**2.2.**Research the origin of imaginary numbers and their difference with real numbers.**2.2.**Research the origin of imaginary numbers and their difference with real numbers.**2.3.**Find characteristics in the Cauchy, Weierstrass and Cantor’s theorems regarding real numbers.**2.4.**Establish features of the Dedekind cut to define real numbers.**2.5.**Build a definition of real numbers

**3.**To recognize intervals as sets of real numbers.**3.1.**Understand the definition of real interval.**3.1.**Understand the definition of real interval.**3.1.**Understand the definition of real interval.**3.1.**Understand the definition of real interval.**3.2.**Identify the types of intervals (finite, infinite, semi-infinite) and their corresponding notation.**3.3.**Relate the continuity notion to real intervals.**3.3.**Relate the continuity notion to real intervals.**3.4.**Represent real intervals on a line.**3.4.**Represent real intervals on a line.

**4.**To characterize the set of real numbers based on their rational and irrational properties.**4.1.**Identify the number sets to which a certain real number belongs to.**4.1.**Identify the number sets to wich a certain real number belongs.**4.2.**Identify real numbers as the intersection between the set of rational and irrational numbers.**4.2.**Identify real numbers as the intersection between the set of rational and irrational numbers.**4.3.**Locate real numbers on the number line, and if possible represent them using a ruler and a compass.**4.4.**Do usual operations between real numbers.**4.5.**Use technological tools to calculate using real numbers.**4.6.**Recognize the addition and multiplication properties among real numbers.**4.7.**Understand the distributive property as a property that relates sums and multiplication between real numbers.

Question 1 of 7

Question 2 of 7

Question 3 of 7

Question 4 of 7

Question 5 of 7

Question 6 of 7

Question 7 of 7