Articles by "AnalGeom Lectures"
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1:27 PM
Analytic Geometry Lecture 13: Hyperbola

Lesson Objectives - the students should be able to:

  • Classify equations of the conic sections into parabola, ellipse, and hyperbola
    • Graph the hyperbola with vertex at the origin.
    • Graph the hyperbola with vertex at (h, k)
    • Solve problems regarding hyperbola, finding the vertices, eccentricity and length of the latus rectum.
    • Find the equation of the hyperbola with vertex at the origin.
    • Find the equation of the hyperbola with vertex at (h, k)
    • Know the some real life applications of hyperbola.

LESSON OUTLINE:

  • Definition
  • General Rules of the Hyperbola
  • Properties of the Hyperbola
  • HYPERBOLA WITH VERTEX AT THE ORIGIN
  • Important Relations and Theorems of Hyperbola
  • Seatwork
  • Homework
  • HYPERBOLA WITH VERTEX AT (h,k)
  • Properties of the Hyperbola WITH VERTEX AT (h,k)
  • Examples
  • Formulas of the Hyperbola
  • Summaries
  • Seatwork
  • Homework

Analytic Geometry Lecture 13


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 13: Conic Sections: Hyperbola

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org
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11:51 AM
Analytic Geometry Lecture 12: Ellipse

Lesson Objectives - the students should be able to:

  • Classify equations of the conic sections into parabola, ellipse, and hyperbola
    • Graph the ellipse with vertex at the origin.
    • Graph the ellipse with vertex at (h, k)
    • Solve problems regarding ellipse, finding the vertices, eccentricity and length of the latus rectum.
    • Find the equation of the ellipse with vertex at the origin.
    • Find the equation of the ellipse with vertex at (h, k)
    • Know the some real life applications of ellipse.

LESSON OUTLINE:

  • Definition
  • General Rules of the Ellipse
  • Properties of the Ellipse
  • ELLIPSE WITH VERTEX AT THE ORIGIN
  • Seatwork
  • Homework
  • ELLIPSE WITH VERTEX AT (h,k)
  • Properties of the Ellipse WITH VERTEX AT (h,k
  • Examples
  • Formulas of the Ellipse
  • Summaries
  • Seatwork
  • Homework

Analytic Geometry Lecture 12


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 12: Conic Sections: Ellipse

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org
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9:27 AM
Analytic Geometry Lecture 11: Parabola

Lesson Objectives - the students should be able to:

  • Classify equations of the conic sections into parabola, ellipse, and hyperbola
    • Graph the parabola in different standard positions with vertex at the origin.
    • Graph the parabola with vertex at (h, k)
    • Solve problems regarding parabola, finding the vertex, eccentricity and length of the latus rectum.
    • Know the different real life applications of parabola.

LESSON OUTLINE:

  • Definition
  • Parabola with vertex at the origin
  • Parabola opening to the right
  • Parabola opening to the left
  • Parabola opening upward
  • Parabola opening downward
  • Seatwork
  • Homework
  • PARABOLA WITH VERTEX AT (h,k)
  • Case I : Axis is parallel to the x-axis and the parabola opens to the right,
  • Case II : Axis is parallel to the x-axis and the parabola opens to the left,
  • Case III : Axis is parallel to the y-axis and the parabola opens upward,
  • Case IV : Axis is parallel to the y-axis and the parabola opens downward,
  • Examples
  • Summaries
  • Seatwork
  • Homework

Analytic Geometry Lecture 11


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 11: Conic Sections: Parabola

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org
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4:22 PM
Analytic Geometry Lecture 10: Circle Problems

Lesson Objectives - the students should be able to:

  • Determine Circles by Geometric Conditions
    • Find the equation of a circle if the circle is tangent to the line.
    • Find the points of intersection between the line and the circle.
    • Show the two circles are tangent externally.
    • Find the points of intersection of two circles.
    • Find the equation of the circle inscribed in a triangle.

LESSON OUTLINE:

  • Determine Circles by Geometric Conditions
    • Circle tangent to the line
    • Intersection between the line and the circle
    • Two circle tangent externally
    • Points of intersection of two circles
    • Circle inscribed in a triangle
    • Seatwork
    • Homework

Analytic Geometry Lecture 10


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 10: Determine Circles by Geometric Conditions

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org
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10:34 AM
Analytic Geometry Lecture 9: Circle Standard form

Lesson Objectives - the students should be able to:

  • Determine the different forms of the equations of circles
    • Standard form of the equation of the circle
    • Equation of circles with center at origin
    • General form of the equation of a circle

LESSON OUTLINE:

  • How to find the standard form of the equation of the circle given the center and radius
  • How to find the standard form of the equation of the circle with center at the origin
  • How to reduce from general form to standard form of the equation of a circle
  • Seatwork
  • Homework

Analytic Geometry Lecture 9


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
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

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org
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11:15 AM
Analytic Geometry Lecture 8: Line

Lesson Objectives - the students should be able to:

  • Learn how to change from one coordinate system to another coordinate system
  • Transform from a polar equation of a line to Cartesian coordinate system
  • Change from General form to standard equation of a line
  • Find the directed distance from line to a point

LESSON OUTLINE:

  • How to change from one coordinate system to another coordinate system or vice versa
  • How to transform from a polar equation of a line to Cartesian coordinate system
  • How to change from General form to standard equation of a line
  • Find the directed distance from line to a point
  • Seatwork
  • Homework

Analytic Geometry Lecture 8


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org
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9:33 AM
Analytic Geometry Lecture 7: Other Form of Lines

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 finding equation of a lines using
    • Other Forms of Equation of a Lines
    • Family of Lines

LESSON OUTLINE:

  • Find the equation of the line using the other forms of equation of a lines
  • Find the equation of the line using the family of lines
  • Seatwork
  • Homework

Analytic Geometry Lecture 7


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org
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8:57 AM
Analytic Geometry Lecture 6: Slope and Intercept of a Line

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 finding equation of a lines using
    • Slope-Point Form
    • Slope-Intercept Form

LESSON OUTLINE:

  • Finding the equation of a line using Slope-Point Form
  • Finding the equation of a line using Slope-Intercept Form
  • Seatwork
  • Homework

Analytic Geometry Lecture 6


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org
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12:42 AM
Analytic Geometry Lecture 5: Two point form of a line

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 finding equation of a lines using
    • Two-point Form
    • Intercept Form

LESSON OUTLINE:

  • Finding the equation of a line using Two-point Form
  • Finding the equation of a line using Intercept Form
  • Seatwork
  • Homework

Analytic Geometry Lecture 5


Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

List of Analytic Geometry Lectures

Download Lecture

credit: ©2013 www.PinoyBIX.org

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