Difference between revisions of "Secant and tangent of a circle"
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(Created page with "{{subst:Math-Activity}}") |
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__FORCETOC__ | __FORCETOC__ | ||
| − | =Activity No # 1 - | + | =Activity No # 1 - Understanding secant and tangent using Geogebra= |
==Estimated Time== | ==Estimated Time== | ||
| − | + | 40 minutes | |
==Materials/ Resources needed== | ==Materials/ Resources needed== | ||
==Prerequisites/Instructions, if any== | ==Prerequisites/Instructions, if any== | ||
| + | # The students should have a prior knowledge about a circle and its basic parts and terms. | ||
| + | # They should know the clear distinction between radius, diameter, chord, secant and tangent. | ||
==Multimedia resources== | ==Multimedia resources== | ||
| − | ==Website interactives/ links/ simulations== | + | Laptop, geogebra file, projector and a pointer. |
| + | ==Website interactives/ links/ simulations/Geogebra applets== | ||
| + | This geogebra file has been made by ITfC-Edu-team | ||
| + | <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" /> | ||
==Process (How to do the activity)== | ==Process (How to do the activity)== | ||
| + | # The teacher can show the geogebra file. | ||
| + | # Move the points on circumference and explain secant. | ||
| + | # When both endpoints of secant meet, it becomes a tangent. | ||
==Developmental Questions (What discussion questions)== | ==Developmental Questions (What discussion questions)== | ||
| + | # Name the points on the circumference of the circle. | ||
| + | # At how many points is the line touching the circle ? | ||
| + | # What is the line called ? | ||
==Evaluation (Questions for assessment of the child)== | ==Evaluation (Questions for assessment of the child)== | ||
| + | # What is the difference between the secant and a tangent? | ||
| + | # What is the difference between the chord and a secant ? | ||
==Question Corner== | ==Question Corner== | ||
| + | # Can you draw a secant touching 3 points on the circle ? | ||
| + | # At how many points does a tangent touch a circle ? | ||
| + | # How many tangents can be drawn to a circle ? | ||
| + | # How many tangents can be drawn to a circle at any one given point ? | ||
| + | # How many parallel tangents can a circle have at the most ? | ||
| + | |||
==Activity Keywords== | ==Activity Keywords== | ||
| + | #Geogebra | ||
| + | #Secant | ||
| + | #Tangent | ||
| − | + | [http://karnatakaeducation.org.in/KOER/en/index.php/Circles_and_lines Back] | |
| − | |||
| − | [http://karnatakaeducation.org.in/KOER/en/index.php/ | ||
Revision as of 20:21, 9 July 2014
Activity No # 1 - Understanding secant and tangent using Geogebra
Estimated Time
40 minutes
Materials/ Resources needed
Prerequisites/Instructions, if any
- The students should have a prior knowledge about a circle and its basic parts and terms.
- They should know the clear distinction between radius, diameter, chord, secant and tangent.
Multimedia resources
Laptop, geogebra file, projector and a pointer.
Website interactives/ links/ simulations/Geogebra applets
This geogebra file has been made by ITfC-Edu-team
Process (How to do the activity)
- The teacher can show the geogebra file.
- Move the points on circumference and explain secant.
- When both endpoints of secant meet, it becomes a tangent.
Developmental Questions (What discussion questions)
- Name the points on the circumference of the circle.
- At how many points is the line touching the circle ?
- What is the line called ?
Evaluation (Questions for assessment of the child)
- What is the difference between the secant and a tangent?
- What is the difference between the chord and a secant ?
Question Corner
- Can you draw a secant touching 3 points on the circle ?
- At how many points does a tangent touch a circle ?
- How many tangents can be drawn to a circle ?
- How many tangents can be drawn to a circle at any one given point ?
- How many parallel tangents can a circle have at the most ?
Activity Keywords
- Geogebra
- Secant
- Tangent