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− | <!-- This portal was created using subst:box portal skeleton -->
| + | 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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− | |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]
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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− | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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− | While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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− | = Concept Map = | + | ===Objectives=== |
− | __FORCETOC__
| + | To understand longest chord passes through the centre and it is the diameter |
− | <mm>[[circles_and_lines.mm|flash]]</mm>
| + | ===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. |
− | Chord and its related theorems
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− | ==Concept #1 CHORD==
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− | ===Learning objectives===
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− | The students should be able to:
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− | # Recall the meaning of circle and chord.
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− | # They should know the method to measure the perpendicular distance of the chord from the centre of the circle.
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− | # State Properties of chord.
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− | # By studying the theorems related to chords, the students should know that a chord in a circle is an important concept .
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− | # They should be able to relate chord properties to find unknown measures in a circle.
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− | # They should be able to apply chord properties for proof of further theorems in circles.
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− | # The students should understand the meaning of congruent chords.
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− | ===Notes for teachers===
| + | What is the condition with respect to sides for formation of a triangle. Sum of two sides is larger than the third side. |
− | A chord is a straight line joining 2 points on the circumference of a circle. Chords within a circle can be related many ways. The theorems that involve chords of a circle are :
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− | Perpendicular bisector of a chord passes through the center of a circle.
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− | Congruent chords are equidistant from the center of a circle.
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− | If two chords in a circle are congruent, then their intercepted arcs are congruent.
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− | If two chords in a circle are congruent, then they determine two central angles that are congruent.
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− | ===Activity No 1[Theorem 1: Perpendicular bisector of a chord passes through the center of a circle.] ===
| + | Compare the chord length with sum of two radii. When is the triangle reduced to a line segment. |
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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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− | 20 minutes
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− | *Materials/ Resources needed:
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− | Laptop, Geogebra file, projector and a pointer.
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− | *Prerequisites/Instructions, if any
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− | # The students should know the basic concepts of a circle and its related terms.
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− | # They should have prior knowledge of chord and construction of perpendicular bisector to the chord.
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− | *Multimedia resources: Laptop
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− | *Website interactives/ links/ / Geogebra Applets
| + | What can you conclude about the chord? When is it the largest? |
− | <ggb_applet width="1280" height="572" version="4.0" 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− | *Process:
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− | # Show the children the geogebra file.
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− | # Let them identify the chord. Ask them to define a chord.
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− | # Let them recall what a perpendicular bisector is.
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− | # Show them the second chord.
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− | # Let students observe if everytime the perpendicular bisector of the chord passes through the centre of the circle.
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− | *Developmental Questions:
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− | # What is a chord ?
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− | # At how many points on the circumference does the chord touch a circle .
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− | # What is a bisector ?
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− | # What is a perpendicular bisector ?
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− | # In each case the perpendicular bisector passes through which point ?
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− | # Can anyone explain why does the perpendicular bisector always passes through the centre of the circle ?
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| | | |
− | *Evaluation
| + | [[Category:Circles]] |
− | # What is the angle formed at the point of intersection of chord and radius ?
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− | # Are the students able to understand what a perpendicular bisector is ?
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− | # Are the students realising that perpendicular bisector drawn for any length of chords for any circle always passes through the center of the circle .
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− | *Question Corner:
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− | # What do you infer ?
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− | # How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle.
| |
− | | |
− | ===Activity No # 2.[Theorem 2.Congruent chords are equidistant from the center of a circle.] ===
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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 :40 minutes.
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− | *Materials/ Resources needed:
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− | Laptop, geogebra,projector and a pointer.
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− | *Prerequisites/Instructions, if any
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− | # The students should have prior knowledge of a circle, its centre, radius, circumference and a chord.
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− | # They should know that the length of the chord means its perpendicular distance from the centre.
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− | # They should know to draw perpendicular bisector to a given chord.
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− | # They should know the meaning of the term congruent and equidistant.
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− | *Multimedia resources: Laptop
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− | *Website interactives/ links/ / Geogebra Applets
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− | <ggb_applet width="1280" height="600" version="4.0" ggbBase64="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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
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− | *Process:
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− | # The teacher can reiterate the prior knowledge on circles.
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− | # Revise the procedure of drawing chords of given length accurately in a circle.
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− | # Then she can test if all students know what congruent chords mean.
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− | # Show geogebra file and explain to help them understand the theorem.
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− | *Developmental Questions:
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− | # What is a chord ?
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− | # Name the centre of the circle.
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− | # How do you draw congruent chords in a circle ?
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− | # How many chords do you see in the figure ? Name them.
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− | # If both the chords are congruent, what can you say about the length of both the chords ?
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− | # How can we measure the length of the chord ?
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− | # What is the procedure to draw perpendicular bisector ?
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− | # What does theorem 1 say ? Do you all remember ?
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− | # What is the length of both chords here ?
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− | # What can you conclude ?
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− | # Repeat this for circles of different radii and for different lengths of congruent chords.
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− | *Evaluation:
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− | # Were the students able to comprehend the drawing of congruent chords in a circle ?
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− | # Were the students able to comprehend why congruent chords are always equal for a given circle. Let any student explain the analogy.
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− | # Are the students able to understand that this theorem can be very useful in solving problems related to circles and triangles ?
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− | *Question Corner:
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− | # What is a chord ?
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− | # What are congruent chords ?
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− | # Why do you think congruent chords are always equal for a circle of given radius ?
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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
| |
− | | |
− | ===Activity No # ===
| |
− | {| 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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− | |}
| |
− | *Estimated Time
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
| |
− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | | |
− | *Process/ Developmental Questions
| |
− | *Evaluation
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− | *Question Corner
| |
− | | |
− | ==Concept #2.SECANT==
| |
− | ===Learning objectives===
| |
− | ===Notes for teachers===
| |
− | ===Activity No # ===
| |
− | {| 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;">
| |
− | ''[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
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− | *Process/ Developmental Questions
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− | *Evaluation
| |
− | *Question Corner
| |
− | | |
− | ===Activity No # ===
| |
− | {| 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;">
| |
− | ''[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
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− | *Process/ Developmental Questions
| |
− | *Evaluation
| |
− | *Question Corner
| |
− | | |
− | ==Concept #3.TANGENT==
| |
− | ===Learning objectives===
| |
− | ===Notes for teachers===
| |
− | ===Activity No # 1. Construction of tangent from an external point .===
| |
− | {| 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
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− | *Process/ Developmental Questions
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− | *Evaluation
| |
− | *Question Corner
| |
− | | |
− | ===Activity No # Construction of Direct common tangent ===
| |
− | {| 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
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *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
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− | *Process/ Developmental Questions
| |
− | *Evaluation
| |
− | *Question Corner
| |
− | ==Concept # ==
| |
− | ===Learning objectives===
| |
− | ===Notes for teachers===
| |
− | ===Activity No # Construction of Transverse common tangent===
| |
− | {| 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
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
| |
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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
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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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