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Line 4: − + − + − + − + − + − + − + − + − + − + − + − + − + − + − <mm>[[parallelograms.mm|flash]]</mm> − + + + − + − + + + + + + + − + − + Line 49:
Line 56: − + − {| 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 − *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://www.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 − − ==Concept #2. Properties of parallelograms== − ===Learning objectives=== − ===Notes for teachers=== − ===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 − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner − − ===Activity No # === − + − + − + − + − + + + + − + − + − + + + + + + + + + + + + + + + + + + − ==Concept #3. Theorems in parallelograms== − ===Learning objectives=== − ===Notes for teachers=== − ===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 − *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://www.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 151:
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{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
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[http://www.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://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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[http://www.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]
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[http://www.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]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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[http://www.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 Map =
== Concept Map ==
__FORCETOC__
__FORCETOC__
= Textbook =
[[File:parallelograms.mm|flash]]
== Textbook ==
To add textbook links, please follow these instructions to:
To add textbook links, please follow these instructions to:
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
=Additional Information=
==Additional Information==
==Useful websites==
=== Resources ===
==== Resource Title ====
[http://www.mathopenref.com/parallelogram.html Parallelograms]
===Useful websites===
# http://library.thinkquest.org/28586/1024x768x24/05_Parallelograms/00_intro.html
# http://library.thinkquest.org/28586/1024x768x24/05_Parallelograms/00_intro.html
This is a good website to introduce parallelograms.
This is a good website to introduce parallelograms.
==Reference Books==
===Reference Books===
= Teaching Outlines =
== Teaching Outlines ==
==Concept # 1. Introduction to parallelograms==
==Concept # 1. Introduction to parallelograms==
e. Consecutive angles supplementary.
e. Consecutive angles supplementary.
===Notes for teachers===
===Notes for teachers===
===Activity No # ===
===Activity No # 1. Introducing parallelograms===
{| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
|}
|}
*Estimated Time
*Estimated Time : 40 minutes.
*Materials/ Resources needed
*Materials/ Resources needed:
*Prerequisites/Instructions, if any
Laptop, geogebra file, projector and a pointer.
*Multimedia resources
*Prerequisites/Instructions, if any:
# Knowledge of parallel lines, diagnols and angles.
# Basic figures like square, rectangle and rhombus.
*Multimedia resources: Laptop
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
*Process/ Developmental Questions
*Process:
*Evaluation
# The teacher can use this geogebra file to introduce parallelograms to students.
*Question Corner
# She can move the vertices A or B or c and observe different parallelograms formed like square, rectangle and rhombus.
# Bring their attention to measures of sides, angles and diagnols.
*Developmental Questions:
# Can you identify the figure ?
# How many sides does this figure have ?
# What do we call a figure with 4 sides ?
# Are all 4 sides equal ?
# What are parallel lines ?
# Identify the 2 sets of parallel lines.
# Spell out the differences between the figures formed with respect to sides, angles and diagnols.
# What common features do you observe in all figures/shapes formed ?
*Evaluation:
# What are parallelograms ?
# Are square, rectangle and rhombus parallelograms ?
# How many pairs of parallel lines does a parallelogram have ?
*Question Corner:
# Are all parallelograms quadrilaterals ?
# Is kite a parallelogram ?
===Activity No # ===
===Activity No # ===
{| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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|}
*Estimated Time
*Estimated Time
*Question Corner
*Question Corner
=Concept #4.Construction of a parallelogram==
==Concept # 2. Construction of parallelograms==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
{| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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*Estimated Time
*Estimated Time
{| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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*Estimated Time
*Estimated Time
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[[Category:Quadrilaterals]]