**1**Identify the use of the hyperbola in different sciences through the property of reflection.**1.1**Identify or take part in experiments that help visualize the reflection property of the hyperbola.**1.2**Describe the reflection property of the hyperbola by observation.**1.3**Identify the application of the reflection property of the hyperbola in communication instruments used in navigation.**1.4**Identify the application of the reflection property of the hyperbola used in hyperbolic mirrors found inside telescopes.**1.5**Identify the use of hyperbolic shapes in artistic architecture.

**2**Build the geometric representation of the hyperbola.**2.1**Identify the process of building a hyperbola using a ruler and a compass.**2.2**Build a hyperbola using a ruler and a compass.**2.3**Interpret each one of the steps used in the construction of the hyperbola using a ruler and a compass.

**3**Identify the concept of concept of hyperbola as a geometric place.**3.1**Identify the basic elements of a hyperbola, such as: center, focus points, focal distance, focal axis, transverse axis, normal, and vector radii.**3.2**Identify the distances of the vector radii.**3.3**Identify the difference between vector radii from a single point in the hyperbola.**3.4**Determine each one of the points that form a hyperbola**3.5**Formulate the definition of hyperbola.**3.6**Build hyperbolas starting from the basic elements**3.7**Identify hyperbolas of one and two branches.

**4**Represent a hyperbola by means of an equation**4.1**Represent hyperbolas in the Cartesian Plane with focal points on the axes with equal distance from the origin.**4.10**Deduct the equation of the hyperbola based on the description of some of its basic elements.**4.2**Recognize the construction process of the equation of a hyperbola with focal points on the horizontal axis with equal distance from the origin.**4.3**Represent hyperbolas with focal points on the horizontal axis with equal distance of the origin by means of an equation.**4.4**Represent hyperbolas with focal points located on any spot in the plane.**4.5**Recognize the construction process of hyperbolas with focal points located on any spot in the plane.**4.6**Represent hyperbolas with focal points located on any spot of the plane by means of an equation.**4.7**Determine hyperbolas based on their equation.**4.8**Build a hyperbola in the Cartesian Plane by means of the equation or basic elements.**4.9**Deduct the equation of the hyperbola identifying the representation in the Cartesian Plane.

**5**Classify conic sections depending on the general equation represented.**5.1**Identify the general equation that represents each one of the conic sections.**5.2**Recognize the relationship between the basic equation of each conic section and the general equation of conic sections.**5.3**Identify what kind of conic section is represented based on the coefficients of the general equation.**5.4**Practice the appropriate use of irregular plural forms

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