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| + | Investigating the diameter is the longest chord of a circle. |
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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− | = Concept Map = | + | ===Objectives=== |
− | <mm>[[circles_and_lines.mm]]</mm>
| + | To understand longest chord passes through the centre and it is the diameter |
− | __FORCETOC__
| + | ===Estimated Time=== |
| + | 30 minutes |
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− | = Textbook = | + | ===Prerequisites/Instructions, prior preparations, if any=== |
− | To add textbook links, please follow these instructions to:
| + | Prior knowledge of point, lines, angles, polygons |
− | ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
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− | =Additional Information= | + | ===Materials/ Resources needed=== |
− | ==Useful websites== | + | * Digital : Computer, geogebra application, projector. |
− | #[http://www.regentsprep.org/Regents/math/geometry/GP14/PracCircleSegments.htm www.regentsprep.com] conatins good objective problems on chords and secants <br>
| + | * Non digital : Worksheet and pencil, compass, strings |
− | #[http://www.mathwarehouse.com/geometry/circle/tangents-secants-arcs-angles.php www.mathwarehouse.com] contains good content on circles for different classes<br>
| + | * Geogebra files : [https://ggbm.at/c4eg7q2u Diameter is longest chord.ggb] |
− | #[http://staff.argyll.epsb.ca/jreed/math20p/circles/tangent.htm staff.argyll] contains good simulations
| + | {{Geogebra|c4eg7q2u}} |
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− | ==Reference Books== | + | ===Process (How to do the activity)=== |
| + | Use the geogebra file to show how diameter is the longest chord. |
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− | = Teaching Outlines =
| + | Move the points on the circle to show the changes in the triangle. |
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− | ==Concept #1 CHORD==
| + | What is the condition with respect to sides for formation of a triangle. Sum of two sides is larger than the third side. |
− | ===Learning objectives===
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− | The students should be able to:<br>
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− | *Recall the meaning of circle.<br>
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− | *Define chord.<br>
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− | *State Properties of chord.<br>
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− | ===Notes for teachers===
| + | Compare the chord length with sum of two radii. When is the triangle reduced to a line segment. |
− | The teacher should clarify the meaning of chord and circle to the students
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− | ===Activity No 1 Construction of chord ===
| + | What can you conclude about the chord? When is it the largest? |
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time <br>
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− | 10-15 minutes
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− | *Materials/ Resources needed
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− | #circular paper cuttings
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− | #sketch pen
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− | #note book
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− | #pen
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− | *Prerequisites/Instructions, if any
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− | #Meaning of chord.
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− | #Meaning of circle.
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− | #Meaning of circumference
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
| + | [[Category:Circles]] |
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− | *Process/ Developmental Questions
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− | #what is a chord?
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− | #The folded line connected from where to where?
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− | #How many chords can be drawn in a circle?
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− | *Evaluation
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− | #was the effect of chord in a circle?
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− | #Was the student able to give the meaning of chord?
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− | *Question Corner
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− | #how many chords can be drawn in a circle?
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− | #What happens to the size of the chord if it moves away from the centre?
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− | #If the chord pass through the centre of the circle what it are the properties of that chord?
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− | | |
− | ===Activity No # ===
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | | |
− | ==Concept #2.SECANT==
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− | ===Learning objectives===
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− | ===Notes for teachers===
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− | ===Activity No # ===
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | ===Activity No # ===
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | ==Concept #3.TANGENT==
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− | ===Learning objectives===
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− | ===Notes for teachers===
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− | ===Activity No # ===
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | | |
− | ===Activity No # ===
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− | {| style="height:10px; float:right; align:center;"
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− | |<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;">
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | = Hints for difficult problems =
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− | = Project Ideas =
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− | = Math Fun =
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− | '''Usage'''
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− | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
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