|
|
| (39 intermediate revisions by 3 users not shown) |
| Line 1: |
Line 1: |
| | + | A quadrilateral ABCD is called cyclic if all four vertices of it lie on a circle.In a cyclic quadrilateral the sum of opposite interior angles is 180 degrees.If the sum of a pair of opposite angles of a quadrilateral is 180, the quadrilateral is cyclic.In a cyclic quadrilateral the exterior angle is equal to interior opposite angle. |
| | | | |
| − | <!-- This portal was created using subst:box portal skeleton -->
| + | ===Objectives=== |
| − | <!-- BANNER ACROSS TOP OF PAGE -->
| + | Understanding cyclic quadrilaterals |
| − | {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
| |
| − | |-
| |
| − | |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:_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://www.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; "|
| |
| − | [http://www.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; "|
| |
| − | [http://www.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; "|
| |
| − | [http://www.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; "|
| |
| − | [http://www.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'''].
| |
| | | | |
| − | = Concept Map =
| + | Relation between angles of a cyclic quadrilateral. |
| − | __FORCETOC__
| |
| − | = Textbook =
| |
| − | To add textbook links, please follow these instructions to:
| |
| − | ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
| |
| | | | |
| − | =Additional Information= | + | ===Estimated Time=== |
| − | ==Useful websites== | + | 10 minutes |
| − | ==Reference Books==
| |
| | | | |
| − | = Teaching Outlines = | + | ===Prerequisites/Instructions, prior preparations, if any=== |
| | + | Circle and quadrilaterals should have been introduced. |
| | | | |
| − | ==Concept #== | + | ===Materials/ Resources needed=== |
| − | ===Learning objectives===
| + | Digital : Laptop, geogebra file, projector and a pointer. |
| − | ===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://www.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 # ===
| + | Geogebra file: [https://ggbm.at/jdxxnrmb Cyclic quadrilateral.ggb] |
| − | {| 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://www.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
| |
| | | | |
| − | ==Concept #==
| + | {{Geogebra|jdxxnrmb}} |
| − | ===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://www.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 # === | + | ===Process (How to do the activity)=== |
| − | {| style="height:10px; float:right; align:center;"
| + | <span></span><span></span> |
| − | |<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;">
| + | # The teacher can recall the concept of a circle, quadrilateral, circumcircle. |
| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
| + | # Can explain a cyclic quadrilateral and show the geogebra applet. |
| − | |}
| + | # Move points, the vertices of the quadrilateral and let the students observe the sum of opposite interior angles. |
| − | *Estimated Time | + | * Developmental Questions: |
| − | *Materials/ Resources needed
| + | # What two figures do you see in the figure ? |
| − | *Prerequisites/Instructions, if any
| + | # Name the vertices of the quadrilateral. |
| − | *Multimedia resources
| + | # Where are all the 4 vertices situated ? |
| − | *Website interactives/ links/ / Geogebra Applets
| + | # Name the opposite interior angles of the quadrilateral. |
| − | *Process/ Developmental Questions
| + | # What do you observe about them. |
| − | *Evaluation | + | *Evaluation: |
| − | *Question Corner | + | # Compare the cyclic quadrilateral to circumcircle. |
| | + | *Question Corner |
| | + | # Can all quadrilaterals be cyclic ? |
| | + | # What are the necessary conditions for a quadrilateral to be cyclic ? <span></span><span></span> |
| | | | |
| − | ==Concept #==
| + | [[Category:Circles]] |
| − | ===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://www.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://www.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://www.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 =
| |
| − | | |
| − | = Project Ideas =
| |
| − | | |
| − | = Math Fun =
| |
| − | | |
| − | '''Usage'''
| |
| − | | |
| − | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
| |
