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| ==Concept #5 Interior and Exterior of a circle== | | ==Concept #5 Interior and Exterior of a circle== |
| [[File:int_ext.jpg|200px|right]] | | [[File:int_ext.jpg|200px|right]] |
− | '''DEFINITION:'''<br>
| + | ===Learning objectives=== |
− | ''INTERIOR:The set of all points of its plane whose distance from its centre is less than the length of its radius''<br>
| + | # The student learn that any points on the planar surface of the circle within its circumference are said to be interior points and points on the outside of circumference are said to be its exterior points. |
− | ''EXTERIOR:The set of all points of its plane whose distance from its centre is greater than the length of its radius''
| + | ===Notes for teachers=== |
− | ==='''Learning objectives'''=== | + | # This knowledge is important to understand secant and tangent to the circle. |
− | The student needs to understand that any points on the planar surface of the circle within its circumference are said to be interior points and points on the outside of circumference are said to be its exterior points. | + | ===Activity No # A game of tiger and goat.=== |
− | | + | # Draw a circle on the playground. |
− | ==='''Notes for teachers'''=== | + | # Make children stand on its circumference. |
− | This knowledge is important to understand secant and tangent to the circle. | + | # Call one student inside the circle to be a goat and other student on the exterior would be the tiger. |
− | ==='''Activity No #1''' === | + | # The tiger tries to get into the circle interior to catch the goat. |
− | ''''''A game of tiger and goat.''''''<br>
| + | # All other students on the circumference defend the entry of tiger. |
− | Draw a circle on the playground. Make children stand on its circumference. Call one student inside the circle to be a goat and other student on the exterior would be the tiger. The tiger tries to get into the circle interior to catch the goat. All other students on the circumference defend the entry of tiger . If tiger forces itself inside, the goat is let out . If the tiger succeeds in catching the goat , the student enacting goat becomes out. Next two more students come forward to be the next goat and tiger and hence the game continues.<br> | + | # If tiger forces itself inside, the goat is let out. |
− | '''Sub units of activity:'''
| + | # If the tiger succeeds in catching the goat, the student enacting goat becomes out. |
| + | # Next two more students come forward to be the next goat and tiger and hence the game continues. |
| + | Sub units of activity: |
| This is an outdoor group activity<br> | | This is an outdoor group activity<br> |
− | '''Instructions to the teachers:'''<br>
| + | Instructions to the teachers:<br> |
| Let this be a fun filled activity and during the game use the terms circle, circumference, interior and exterior.<br> | | Let this be a fun filled activity and during the game use the terms circle, circumference, interior and exterior.<br> |
− | '''Instructions to the students:'''<br>
| + | Instructions to the students:<br> |
| Identify who is in the interior of circle and who is in the exterior. | | Identify who is in the interior of circle and who is in the exterior. |
| {| style="height:10px; float:right; align:center;" | | {| style="height:10px; float:right; align:center;" |
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| ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> |
| |} | | |} |
− | *'''Estimated Time''' | + | *Estimated Time: 30mins |
− | 30mins | + | *Materials/ Resources needed |
− | *'''Materials/ Resources needed''' | + | A meter length wool nailed to ground (to be centre of circle) and tied to stick on the other side to help draw a perfect big circle. |
− | A meter length wool nailed to ground (to be centre of circle) and tied to stick on the other side to help draw a perfect circle. | + | *Prerequisites/Instructions, if any. |
− | *'''Prerequisites/Instructions, if any''' | + | # The students need to know that the circumference of the circle is its boundary and understand the terms interior and exterior of the circle. |
− | The students need to know that the circumference of the circle is its boundary and understand the terms interior and exterior of the circle. | |
| | | |
| *Multimedia resources | | *Multimedia resources |
| | | |
| *Website interactives/ links/ / Geogebra Applets | | *Website interactives/ links/ / Geogebra Applets |
− | *'''Process/ Developmental Questions''' | + | *Process/ Developmental Questions |
− | *'''Evaluation''' | + | *Evaluation |
| Guage if the students have understood the meaning of the terms interior and exterior. | | Guage if the students have understood the meaning of the terms interior and exterior. |
− | *'''Question Corner''' | + | *Question Corner |
− | Are the students standing on the circumference of the circle considered to be in the interior or in the exterior ? Justify. | + | # Are the students standing on the circumference of the circle considered to be in the interior or in the exterior ? Justify. |
| | | |
− | ===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'''
| |
− | 30 minutes
| |
− | *'''Materials/ Resources needed'''
| |
− | A meter length wool nailed to ground (to be centre of circle) and tied to stick on the other side to help draw a perfect circle.
| |
− | *'''Prerequisites/Instructions, if any'''
| |
− | The students need to know that the circumference of the circle is its boundary and understand the terms interior and exterior of the circle.
| |
− | *Multimedia resources
| |
− | *Website interactives/ links/ / Geogebra Applets
| |
− | *'''Process/ Developmental Questions'''
| |
− | '''Instructions to the teachers:'''
| |
− | Let this be a fun filled activity and during the game use the terms circle, circumference, interior and exterior.<br>
| |
− | '''Instructions to the students:'''
| |
− | Identify who is in the interior of circle and who is in the exterior.
| |
− | *'''Evaluation'''
| |
− | Guage if the students have understood the meaning of the terms interior and exterior.
| |
− | *'''Question Corner'''
| |
− | Are the students standing on the circumference of the circle considered to be in the interior or in the exterior ? Justify.
| |
| | | |
| ==Concept #6 Chord== | | ==Concept #6 Chord== |