Conic sections

Concept Map 

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Reference Books
= Teaching Outlines = This page describes the various two dimensional conic sections that can be obtained.

Learning objectives

 * 1) Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane.
 * 2) There are different ways to do this, and each way yields a different figure.
 * 3) These figures can be represented on the graph as well as algebraically.
 * 4) The four conic sections are circles, ellipses, parabolas, and hyperbolas.

Notes for teachers

 * 1) The general equation for all conics is $$Ax^2+Bxy+Cy^2+Dx+Ey+F=0$$
 * 2) If $$B^2-4AC<0$$ then the curve is an ellipse, circle, point or no curve.
 * 3) If $$B^2-4AC=0$$ then the curve is a parabola,2parallel lines, 1 line or no curve.
 * 4) If $$B^2-4AC>0$$ then the curve is a hyperbola or 2 intersecting lines.

Activity No #

 * Estimated Time: 40 minutes
 * Materials/ Resources needed
 * Prerequisites/Instructions, if any
 * Multimedia resources
 * Website interactives/ links/ / Geogebra Applets
 * Process/ Developmental Questions
 * Evaluation
 * Question Corner

Activity No #

 * Estimated Time
 * Materials/ Resources needed
 * Prerequisites/Instructions, if any
 * Multimedia resources
 * Website interactives/ links/ / Geogebra Applets
 * Process/ Developmental Questions
 * Evaluation
 * Question Corner

Learning objectives

 * 1) Introduction to the form of a hyperbola

Activity No #
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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="false" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="false" />
 * Estimated Time
 * Materials/ Resources needed
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 * Multimedia resources
 * Website interactives/ links/ / Geogebra Applets


 * Process/ Developmental Questions
 * Evaluation
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Activity No #

 * Estimated Time
 * Materials/ Resources needed
 * Prerequisites/Instructions, if any
 * Multimedia resources
 * Website interactives/ links/ / Geogebra Applets
 * Process/ Developmental Questions
 * Evaluation
 * Question Corner


 * Multimedia resources
 * Website interactives/ links/ / Geogebra Applets
 * Process/ Developmental Questions
 * Evaluation
 * Question Corner

Activity No #

 * Estimated Time
 * Materials/ Resources needed
 * Prerequisites/Instructions, if any

Activity No #

 * Estimated Time
 * Materials/ Resources needed
 * Prerequisites/Instructions, if any
 * Multimedia resources
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 * Process/ Developmental Questions
 * Evaluation
 * Question Corner

Learning objectives

 * 1) Introduction to the form of a hyperbola

Notes for teachers

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