Difference between revisions of "Congruent chords are equidistant from the centre of a circle"
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__FORCETOC__ | __FORCETOC__ | ||
| − | =Activity No # | + | =Activity No # 2 - Congruent chords are equidistant from the centre of a circle= |
==Estimated Time== | ==Estimated Time== | ||
| − | + | 40 minutes | |
==Materials/ Resources needed== | ==Materials/ Resources needed== | ||
Laptop, geogebra,projector and a pointer. | Laptop, geogebra,projector and a pointer. | ||
| − | |||
==Prerequisites/Instructions, if any== | ==Prerequisites/Instructions, if any== | ||
| + | Basics of circles and its related terms should have been done. | ||
==Multimedia resources== | ==Multimedia resources== | ||
| − | ==Website interactives/ links/ simulations== | + | Laptop, geogebra file, projector and a pointer. |
| + | ==Website interactives/ links/ Geogebra applets/ simulations== | ||
| + | This geogebra file has been created by Tharanath Achar of Dakshina kannada. | ||
| + | <ggb_applet width="1280" height="600" version="4.0" 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| ||
| + | FAAIAAgAxIpzQ0XM3l0aAAAAGAAAABYAAAAAAAAAAAAAAAAALA8AAGdlb2dlYnJhX2phdmFzY3JpcHQuanNQSwECFAAUAAgACADEinNDzYeDaw4NAAC7OwAADAAAAAAAAAAAAAAAAACKDwAAZ2VvZ2VicmEueG1sUEsFBgAAAAADAAMAwgAAANIcAAAAAA==" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> | ||
==Process (How to do the activity)== | ==Process (How to do the activity)== | ||
| + | # Show geogebra file and ask the questions below. | ||
==Developmental Questions (What discussion questions)== | ==Developmental Questions (What discussion questions)== | ||
| + | # What is a chord ? | ||
| + | # Name the centre of the circle. | ||
| + | # How do you draw congruent chords in a circle ? | ||
| + | # How many chords do you see in the figure ? Name them. | ||
| + | # If both the chords are congruent, what can you say about the length of both the chords ? | ||
| + | # How can we measure the length of the chord ? | ||
| + | # What is the procedure to draw perpendicular bisector ? | ||
| + | # What does theorem 1 say ? Do you all remember ? | ||
| + | # What is the length of both chords here ? | ||
| + | # What can you conclude ? | ||
| + | # Repeat this for circles of different radii and for different lengths of congruent chords. | ||
==Evaluation (Questions for assessment of the child)== | ==Evaluation (Questions for assessment of the child)== | ||
| + | # Were the students able to comprehend the drawing of congruent chords in a circle ? | ||
| + | # Were the students able to comprehend why congruent chords are always equal for a given circle. Let any student explain the analogy. | ||
| + | # Are the students able to understand that this theorem can be very useful in solving problems related to circles and triangles ? | ||
==Question Corner== | ==Question Corner== | ||
| + | # What is a chord ? | ||
| + | # What are congruent chords ? | ||
| + | # Why do you think congruent chords are always equal for a circle of given radius ? | ||
==Activity Keywords== | ==Activity Keywords== | ||
| + | #Geogebra | ||
| + | #Equidistant chords | ||
| − | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Circles_and_lines Back] | |
| − | |||
| − | [http://karnatakaeducation.org.in/KOER/en/index.php/ | ||
Revision as of 20:13, 9 July 2014
Activity No # 2 - Congruent chords are equidistant from the centre of a circle
Estimated Time
40 minutes
Materials/ Resources needed
Laptop, geogebra,projector and a pointer.
Prerequisites/Instructions, if any
Basics of circles and its related terms should have been done.
Multimedia resources
Laptop, geogebra file, projector and a pointer.
Website interactives/ links/ Geogebra applets/ simulations
This geogebra file has been created by Tharanath Achar of Dakshina kannada.
Process (How to do the activity)
- Show geogebra file and ask the questions below.
Developmental Questions (What discussion questions)
- What is a chord ?
- Name the centre of the circle.
- How do you draw congruent chords in a circle ?
- How many chords do you see in the figure ? Name them.
- If both the chords are congruent, what can you say about the length of both the chords ?
- How can we measure the length of the chord ?
- What is the procedure to draw perpendicular bisector ?
- What does theorem 1 say ? Do you all remember ?
- What is the length of both chords here ?
- What can you conclude ?
- Repeat this for circles of different radii and for different lengths of congruent chords.
Evaluation (Questions for assessment of the child)
- Were the students able to comprehend the drawing of congruent chords in a circle ?
- Were the students able to comprehend why congruent chords are always equal for a given circle. Let any student explain the analogy.
- Are the students able to understand that this theorem can be very useful in solving problems related to circles and triangles ?
Question Corner
- What is a chord ?
- What are congruent chords ?
- Why do you think congruent chords are always equal for a circle of given radius ?
Activity Keywords
- Geogebra
- Equidistant chords