Pre Calculus (Analytic Geometry)


Course Title: Pre- Calculus                                 

Semester: 1st


No. of hours: 80 hours/semester

I. Course Description:

The course specifically covers basic concepts in analytic geometry, equations of the line, equations of the circle and equations of the conic sections of (parabola, ellipse, hyperbola), and plane trigonometry.

II. Course Objectives:

At the end of the course, students should be able to:

1. Formulate and solve accurately situational problems, involving distance

    formula and  midpoint of line segment.

2. Formulate and solve accurately situational problems involving straight line.

3. Model situations appropriately and solve problems accurately using conic

    sections and systems of nonlinear equations.

4. Formulate and solve accurately situational problems involving circular


6. Apply appropriate trigonometric identities in solving situational problems.

7. Formulate and solve accurately situational problems involving appropriate

    trigonometric  Functions

III. Course Content:

A. Chapter  –Analytic Geometry

  1. Distance between points in a plane
    1. Midpoint Formula
    1. Slope and inclination of a Line; Parallel and Perpendicular lines
    1. Equation of a Line
    1. Distance from a Point to a Line.
    1. Angles between two Intersecting Lines
    1. Conics

                                      7.1 Circle

                                      7.2 Parabola                  

                                      7.3 Ellipse

                                      7.4 Hyperbola

                              8.Solving Non- Linear Equations

B. Chapter 2 – Trigonometry

  1.   Unit Circle      
  2. Co terminal angles
  3. Reference angles
  4. Circular Function
  5. Finding the exact value of circular functions
  6. Fundamental Trigonometric Identities
  7. Proving Identities

IV. Course Requirements:

  1. Reflection Notebook
  2. Compilation of Test Papers, Rubrics & Activity Sheets
  3. Hard copy of group performance Task, group report

V. Performance Tasks:

  1. Midterm

Scaffold(Architectural design)

1.Lines and Circle

2.Ellipse and Parabola


Big Task( Architectural Design)

  •  Endterm

Scaffold (Infograhics)

1.Unit Circle, Co terminal and Reference Angle

2.Cicular function


Big Task( Portfolio  Infograhics)

VI. Academic Performance Evaluation System:

              Written Work                …………………………………  25%

              Performance Task       …………………………………  45%

   Term Assessment         …………………………………  30%

                                      Total                                                          100%

VII. References:

Cuaresma G., C. M. (2013). A Worktext in Analytic Geometry and Calculus 2nd Edition. Quezon City: C & E Publishing, Inc.

E., A. (2016). Pre calculus. Makati City: Diwa Learning Systems Inc.

F., P. (2002). Simplified Analytic Geometry. Batangas City: Feliber Publishing House.

Fuller G., T. D. (1992). Analytic Geometry 7th Edition. New York: Addison-Welsey Publishing Company, Inc.

Montero-Galliguez T., G. J.-C. (2015). Analytic Geometry. Quezon City: C & E Publishing, Inc.

Prepared by:

Arlo M. Libanan

Subject Teacher

Parent’s/Gurdian’s Signature:________________________

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