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Line 1: − = Concept Plan = − <mm>[[angles.mm|Flash]]</mm> − <!-- This portal was created using subst:box portal skeleton --> − <!-- BANNER ACROSS TOP OF PAGE --> − + − + − + − + − + − + − + + + + + + Line 33:
Line 34: − + − ===Learning objectives===+ − + − ===Activity No # === − + − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *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://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 − *Process/ Developmental Questions − *Evaluation − *Question Corner Line 113:
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Line 129: − − ===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://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 − *Process/ Developmental Questions − *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://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 − *Process/ Developmental Questions − *Evaluation − *Question Corner Line 180:
Line 134: − {| 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://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 − *Process/ Developmental Questions − *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://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 − *Process/ Developmental Questions − *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://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 − *Process/ Developmental Questions − *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;"> − − |} − *Estimated Time − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner Line 297:
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Line 289: − − ===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://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 − *Process/ Developmental Questions − *Evaluation − *Question Corner Line 402:
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→Concept # 5. Angle bisector-Its construction
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
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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; "|
| style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
|}
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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'''].
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
=== Concept Plan ===
[[File:Angles.mm]]
<!-- This portal was created using subst:box portal skeleton -->
<!-- BANNER ACROSS TOP OF PAGE -->
__FORCETOC__
__FORCETOC__
= Teaching Outlines =
= Teaching Outlines =
==Concept #1.What is an angle ? ==
====Concept #1.What is an angle ? ====
===Activities===
===Notes for teachers===
Foramtion of
{| style="height:10px; float:right; align:center;"
{| 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;">
|<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://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
|}
|}
*Estimated Time
*
==Concept #2. Using a Protractor- Measuring an angle ==
==Concept #2. Using a Protractor- Measuring an angle ==
*Multimedia resources; Laptop
*Multimedia resources; Laptop
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
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<span> </span>
<span></span><div id="ggbContainer4a44ef2dc4b78417b74d34b3b537830b"></div><span></span>
*Process:
*Process:
# The teacher should recaptulate the concept of a point, line segment, ray, vertex and angles.
# The teacher should recaptulate the concept of a point, line segment, ray, vertex and angles.
# Are angles <ABA' and <A'BA the same ? Justify
# Are angles <ABA' and <A'BA the same ? Justify
# Differentiate between the zero angle and a complete angle.
# Differentiate between the zero angle and a complete angle.
==Concept # 4. Angle constructions==
==Concept # 4. Angle constructions==
===Notes for teachers===
===Notes for teachers===
===Activity No # ===
===Activity No # ===
==Concept # 5. Angle bisector-Its construction==
==Concept # 5. Angle bisector-Its construction==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
Activity - [[Activity-construction of angles|Construction of angle with measure 22.5∘]]
This activity helps to illustrate the 'angle bisector' construction three times since we construct ∡22.5 by constructing ∡90∘ (bisecting a segment / straight angle ∡180∘, then bisect ∡90∘ to get ∡45∘ and finally bisect ∡45∘ to get ∡22.5∘).
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
==Concept # 6. Pairs of angles==
==Concept # 6. Pairs of angles==
Laptop<br>
Laptop<br>
'''*Website interactives/ links/ / Geogebra Applets'''<br>
'''*Website interactives/ links/ / Geogebra Applets'''<br>
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<span></span><div id="ggbContainer507e2592e2313aaf5f5d11fe1655c6bb"></div><span></span>
* This is a resource file on 'vertically opposite angles'
{{#widget:YouTube|id=m7v2g9_3BdU|left}}<br>
It has been created by Sucheta, Mathematics teacher, GHS Thyamangondlu
'''*Process:'''
'''*Process:'''
#Reiterate that when a transversal intersects parallel lines, several pairs of congruent and supplementary angles are formed.
#Reiterate that when a transversal intersects parallel lines, several pairs of congruent and supplementary angles are formed.
#What is the supplement of 70 degrees?
#What is the supplement of 70 degrees?
#Compare angle relationships formed by parallel lines vs. angle relationships formed by non-parallel lines.
#Compare angle relationships formed by parallel lines vs. angle relationships formed by non-parallel lines.
= Hints for difficult problems =
= Hints for difficult problems =
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
[[Category:Lines and Angles]]