Analytic Geometry Lecture 1

Lesson Objectives - the students should be able to:

• Learn basic concepts about Cartesian Coordinates System
• Could draw regular polygons in Cartesian Coordinates System
• Apply learning in solving problems involving
• Distance between two points

LESSON OUTLINE:

• Introduction to Geometry
• Directed Line Segments
• Rectangular Coordinate System
• Distance Between Two Points

Analytic Geometry Lecture 1

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Keywords

• Geometry
• ancient Egypt
• Indus Valley
• Euclid
• The Elements of Geometry
• Euclidean geometry
• Synthetic Geometry
• Analytic Geometry
• Rene Descartes
• La Geometrie
• line
• Directed Line
• Directed Line Segments
• Number Line
• x-axis
• y-axis
• abscissa
• ordinate
• ordered pair
• Plotting

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