Difference between revisions of "Parallelograms"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
 
(17 intermediate revisions by 3 users not shown)
Line 4: Line 4:
 
{| 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;"
 
|-
 
|-
−
|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://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]
+
| 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://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]
−
|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://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]
−
|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://www.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://www.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://www.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]
 
|}
 
|}
 
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__
−
<mm>[[parallelograms.mm|flash]]</mm>
 
  
−
= 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==
 
−
==Reference Books==
 
  
−
= Teaching Outlines =
+
=== Resources ===
  
−
==Concept # 1. Introduction to parallelograms==
+
==== Resource Title ====
−
===Learning objectives===
+
[http://www.mathopenref.com/parallelogram.html Parallelograms]
−
===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 # ===
+
===Useful websites===
−
{| style="height:10px; float:right; align:center;"
+
# http://library.thinkquest.org/28586/1024x768x24/05_Parallelograms/00_intro.html
−
|<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;">
+
This is a good website to introduce parallelograms.
−
''[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==
+
===Reference Books===
−
===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 # ===
+
== Teaching Outlines ==
−
{| 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 #3. Theorems in parallelograms==
+
==Concept # 1. Introduction to parallelograms==
 
===Learning objectives===
 
===Learning objectives===
 +
# A 4-sided flat shape with straight sides where opposite sides are parallel.
 +
# Also opposite sides are equal in length, and opposite angles are equal.
 +
# Squares, Rectangles and Rhombuses are all Parallelograms.
 +
# Properties of a parallelogram are :
 +
a. Opposite sides parallel<br>
 +
b. Opposite sides equal<br>
 +
c. Diagonals bisect each other<br>
 +
d. Opposite angles congruent<br>
 +
e. Consecutive angles supplementary.
 
===Notes for teachers===
 
===Notes for teachers===
−
===Activity No # ===
+
===Activity No # 1. Introducing parallelograms===
−
{| 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;"
 
{| 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>
 
|}
 
|}
 
*Estimated Time
 
*Estimated Time
Line 139: Line 104:
 
*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===
Line 145: Line 110:
 
{| 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
Line 158: Line 123:
 
{| 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
Line 178: Line 143:
  
 
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:Quadrilaterals]]

Latest revision as of 15:53, 12 November 2019

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.

Concept Map

[maximize]

Textbook

To add textbook links, please follow these instructions to: (Click to create the subpage)

Additional Information

Resources

Resource Title

Parallelograms

Useful websites

  1. http://library.thinkquest.org/28586/1024x768x24/05_Parallelograms/00_intro.html

This is a good website to introduce parallelograms.

Reference Books

Teaching Outlines

Concept # 1. Introduction to parallelograms

Learning objectives

  1. A 4-sided flat shape with straight sides where opposite sides are parallel.
  2. Also opposite sides are equal in length, and opposite angles are equal.
  3. Squares, Rectangles and Rhombuses are all Parallelograms.
  4. Properties of a parallelogram are :

a. Opposite sides parallel
b. Opposite sides equal
c. Diagonals bisect each other
d. Opposite angles congruent
e. Consecutive angles supplementary.

Notes for teachers

Activity No # 1. Introducing parallelograms

  • Estimated Time : 40 minutes.
  • Materials/ Resources needed:

Laptop, geogebra file, projector and a pointer.

  • Prerequisites/Instructions, if any:
  1. Knowledge of parallel lines, diagnols and angles.
  2. Basic figures like square, rectangle and rhombus.
  • Multimedia resources: Laptop
  • Website interactives/ links/ / Geogebra Applets
  • Process:
  1. The teacher can use this geogebra file to introduce parallelograms to students.
  2. She can move the vertices A or B or c and observe different parallelograms formed like square, rectangle and rhombus.
  3. Bring their attention to measures of sides, angles and diagnols.
  • Developmental Questions:
  1. Can you identify the figure ?
  2. How many sides does this figure have ?
  3. What do we call a figure with 4 sides ?
  4. Are all 4 sides equal ?
  5. What are parallel lines ?
  6. Identify the 2 sets of parallel lines.
  7. Spell out the differences between the figures formed with respect to sides, angles and diagnols.
  8. What common features do you observe in all figures/shapes formed ?
  • Evaluation:
  1. What are parallelograms ?
  2. Are square, rectangle and rhombus parallelograms ?
  3. How many pairs of parallel lines does a parallelogram have ?
  • Question Corner:
  1. Are all parallelograms quadrilaterals ?
  2. Is kite a parallelogram ?

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Concept # 2. Construction of parallelograms

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Hints for difficult problems

Project Ideas

Math Fun

Usage

Create a new page and type {{subst:Math-Content}} to use this template

Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Parallelograms&oldid=32683"