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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics] | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics] |
− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics] | + | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics] |
| |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| |
− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics] | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics] |
| |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| |
− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus] | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus] |
| |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| |
− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics] | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics] |
| |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| |
− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks] | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks] |
| |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| |
− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank] | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank] |
| |} | | |} |
| While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist''']. | | While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist''']. |
| | | |
− | = Concept Map =
| + | '''Concept Map ''' |
| __FORCETOC__ | | __FORCETOC__ |
| + | [[File:conic_sections.mm|flash]] |
| + | |
| = Textbook = | | = Textbook = |
| To add textbook links, please follow these instructions to: | | To add textbook links, please follow these instructions to: |
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| = Teaching Outlines = | | = Teaching Outlines = |
| + | This page describes the various two dimensional conic sections that can be obtained.[http://en.wikipedia.org/wiki/Conic_section] |
| + | ==Concept #1 Conic sections== |
| + | ===Learning objectives=== |
| + | # Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane. |
| + | # There are different ways to do this, and each way yields a different figure. |
| + | # These figures can be represented on the graph as well as algebraically. |
| + | # The four conic sections are circles, ellipses, parabolas, and hyperbolas. |
| | | |
− | ==Concept #==
| |
− | ===Learning objectives===
| |
| ===Notes for teachers=== | | ===Notes for teachers=== |
| + | # The general equation for all conics is <math>Ax^2+Bxy+Cy^2+Dx+Ey+F=0</math> |
| + | # If <math>B^2-4AC<0</math> then the curve is an ellipse, circle, point or no curve.<br> |
| + | # If <math>B^2-4AC=0</math> then the curve is a parabola,2parallel lines, 1 line or no curve.<br> |
| + | # If <math>B^2-4AC>0</math> then the curve is a hyperbola or 2 intersecting lines.<br> |
| + | |
| ===Activity No # === | | ===Activity No # === |
| {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |
| |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> | | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | + | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| |} | | |} |
− | *Estimated Time | + | *Estimated Time: 40 minutes |
| *Materials/ Resources needed | | *Materials/ Resources needed |
| *Prerequisites/Instructions, if any | | *Prerequisites/Instructions, if any |
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| {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |
| |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> | | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | + | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| |} | | |} |
| *Estimated Time | | *Estimated Time |
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| *Question Corner | | *Question Corner |
| | | |
− | ==Concept #== | + | ==Concept #2 Hyperbola== |
| ===Learning objectives=== | | ===Learning objectives=== |
| + | #Introduction to the form of a hyperbola |
| ===Notes for teachers=== | | ===Notes for teachers=== |
| ===Activity No # === | | ===Activity No # === |
| {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |
| |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> | | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | + | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| + | |} |
| + | *Estimated Time |
| + | *Materials/ Resources needed |
| + | *Prerequisites/Instructions, if any |
| + | *Multimedia resources |
| + | *Website interactives/ links/ / Geogebra Applets |
| + | <ggb_applet width="1440" height="673" version="4.0" 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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="false" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="false" /> |
| + | |
| + | *Process/ Developmental Questions |
| + | *Evaluation |
| + | *Question Corner |
| + | ===Activity No # === |
| + | {| style="height:10px; float:right; align:center;" |
| + | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
| + | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| |} | | |} |
| *Estimated Time | | *Estimated Time |
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| *Question Corner | | *Question Corner |
| | | |
| + | |
| + | *Multimedia resources |
| + | *Website interactives/ links/ / Geogebra Applets |
| + | *Process/ Developmental Questions |
| + | *Evaluation |
| + | *Question Corner |
| + | |
| + | ==Concept #3. PARABOLA== |
| + | ===Learning objectives=== |
| + | ===Notes for teachers=== |
| + | ===Activity No # === |
| + | {| style="height:10px; float:right; align:center;" |
| + | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
| + | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| + | |} |
| + | *Estimated Time |
| + | *Materials/ Resources needed |
| + | *Prerequisites/Instructions, if any |
| ===Activity No # === | | ===Activity No # === |
| {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |
| |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> | | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | + | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| |} | | |} |
| *Estimated Time | | *Estimated Time |
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| *Question Corner | | *Question Corner |
| | | |
| + | ==Concept #4 ELLIPSE== |
| + | ===Learning objectives=== |
| + | #Introduction to the form of a hyperbola |
| + | ===Notes for teachers=== |
| + | *Activity No # |
| + | *Click to Comment |
| + | |
| + | *Estimated Time |
| + | *Materials/ Resources needed |
| + | *Prerequisites/Instructions, if any |
| + | *Multimedia resources |
| + | *Website interactives/ links/ / Geogebra Applets |
| + | *Process/ Developmental Questions |
| + | *Evaluation |
| + | *Question Corner |
| + | |
| + | *Activity No # |
| + | *Click to Comment |
| + | |
| + | *Estimated Time |
| + | *Materials/ Resources needed |
| + | *Prerequisites/Instructions, if any |
| + | *Multimedia resources |
| + | *Website interactives/ links/ / Geogebra Applets |
| + | *Process/ Developmental Questions |
| + | *Evaluation |
| + | *Question Corner |
| | | |
| + | ===Activity No # === |
| + | {| style="height:10px; float:right; align:center;" |
| + | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
| + | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| + | |} |
| + | *Estimated Time |
| + | *Materials/ Resources needed |
| + | *Prerequisites/Instructions, if any |
| + | *Multimedia resources |
| + | *Website interactives/ links/ / Geogebra Applets |
| + | *Process/ Developmental Questions |
| + | *Evaluation |
| + | *Question Corner |
| + | ===Activity No # === |
| + | {| style="height:10px; float:right; align:center;" |
| + | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> |
| + | ''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| + | |} |
| + | *Estimated Time |
| + | *Materials/ Resources needed |
| + | *Prerequisites/Instructions, if any |
| + | *Multimedia resources |
| + | *Website interactives/ links/ / Geogebra Applets |
| + | *Process/ Developmental Questions |
| + | *Evaluation |
| + | *Question Corner |
| | | |
| = Hints for difficult problems = | | = Hints for difficult problems = |
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| Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template | | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template |
| + | |
| + | [[Category:Circles]] |