Changes

The longest chord passes through the centre of the circle (view source)

Revision as of 16:13, 1 January 2014

658 bytes removed , 16:13, 1 January 2014

→‎Concept #1 CHORD

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===Learning objectives===

The students should be able to:

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# ~~Recall the meaning~~ of circle and chord.

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# 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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# Method to measure the perpendicular distance of the chord from the centre of the circle.

# State Properties of chord.

# 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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# 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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# 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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# Understand the meaning of congruent chords.

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===Notes for teachers===

# A chord is a straight line joining 2 points on the circumference of a circle.

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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>

|}

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*Estimated Time ~~<br>~~

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*Estimated Time:20 minutes

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20 minutes

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*Materials/ Resources needed:Laptop, Geogebra file, projector and a pointer.

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*Materials/ Resources needed:

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*Prerequisites/Instructions, if any:

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Laptop, Geogebra file, projector and a pointer.

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# Basic concepts of a circle and its related terms should have been covered.

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*Prerequisites/Instructions, if any

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*Multimedia resources: Laptop.

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# ~~The students should know the basic~~ concepts of a circle and its related terms.

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*Website interactives/ links/ / Geogebra Applets:

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~~# They~~ should have ~~prior knowledge of chord and construction of perpendicular bisector to the chord~~.

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This geogebra has been created by ITfc-Edu-team.

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*Multimedia resources: Laptop

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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" />

*Process:

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# Show the children the geogebra file.

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# Show the children the geogebra file and ask the listed questions below.

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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~~.

*Developmental Questions:

# What is a chord ?

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# In each case the perpendicular bisector passes through which point ?

# Can anyone explain why does the perpendicular bisector always passes through the centre of the circle ?

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*Evaluation

# What is the angle formed at the point of intersection of chord and radius ?

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# What do you infer ?

# How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle.

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===Activity No # 2.[Theorem 2.Congruent chords are equidistant from the center of a circle.] ===

{| style="height:10px; float:right; align:center;"

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*Estimated Time :40 minutes.

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*Materials/ Resources needed:

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*Materials/ Resources needed:Laptop, geogebra,projector and a pointer.

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Laptop, geogebra,projector and a pointer.

*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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# Basics of circles and its related terms should have been done.

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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~~.

*Multimedia resources: Laptop, geogebra file, projector and a pointer.

*Website interactives/ links/ / Geogebra Applets

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Changes

The longest chord passes through the centre of the circle (view source)

Revision as of 16:13, 1 January 2014

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