Difference between revisions of "Polygons"

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==Notes for teachers==
 
==Notes for teachers==
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===Activity No #===
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===Activity No # 1. Which polygon am I ? ===
 
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|<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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
|}
−
*Estimated Time
+
*Estimated Time: 30 minutes.
−
*Materials/ Resources needed
+
*Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
−
*Prerequisites/Instructions, if any
+
*Prerequisites/Instructions, if any:
−
*Multimedia resources
+
# The students should know that lines intersect to form figures.
 +
# Plane closed figures with ≥ 3 sides are known as polygons .
 +
# The intersecting points of two lines is known as a vertex and  the lines are the edges/sides.
 +
# The student should know the meaning of greek numerals uni, bi, tri ....etc.
 +
*Multimedia resources: Laptop
 
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
−
*Process/ Developmental Questions
+
*Process: 
−
*Evaluation
+
# The teacher can tell the students that they are surrounded by many different kinds of shapes every day.
−
*Question Corner
+
# Many of these shapes are two-dimensional plane figures.
 +
# Plane figures are flat. They can be closed or not closed.
 +
# Plane figures made up of three or more closed line segments are polygons.
 +
# Each line segment of a polygon is a side. Polygons are classified and named based on the number of sides.
 +
*Developmental Questions:
 +
# How many vertices, sides and angles does this figure have ? Name the figure.
 +
# What is the point of intersection of two lines called ?
 +
# What parameters do you identify in each figure ? (side, vertex, angle, plane surface and area )
 +
# What can you say about the number of vertices and the number of sides in each figure ?
 +
# Which figure would you think will be formed if the number of sides is increased indefinately.
 +
*Evaluation:
 +
# What determines the side or edge of the figure ?
 +
# Are the students able to corelate the names with the number of sides ?
 +
# Are the students able to appreciate the nature of shapes formed with each increasing side?
 +
# Students can discuss  angle sum property in each case by dividing the figure into triangles or quadrilaterals.
 +
*Question Corner:
 +
# A hexagon is a polygon with _________ angles.
 +
# Is circle a polygon ?
 +
# What is a polygon with 12 sides called ?
 +
# You have a collection of sides from triangles and decagons. The total number of sides is 100 and you have 4 decagons. How many triangles do you have ?
 +
 
  
 
===Activity No # ===
 
===Activity No # ===

Revision as of 12:17, 2 November 2013

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Error: Mind Map file polygons.mm not found


Textbook

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Additional Information

Useful websites

Reference Books

Teaching Outlines

  1. Introduction to polygon
  2. Naming the polygons
  3. Characteristics of polygons.
  4. Types of polygons.

Concept #1. Introduction to polygons and nomenclature.

Learning objectives

Notes for teachers

Activity No # 1. Which polygon am I ?

  • Estimated Time: 30 minutes.
  • Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
  • Prerequisites/Instructions, if any:
  1. The students should know that lines intersect to form figures.
  2. Plane closed figures with ≥ 3 sides are known as polygons .
  3. The intersecting points of two lines is known as a vertex and the lines are the edges/sides.
  4. The student should know the meaning of greek numerals uni, bi, tri ....etc.
  • Multimedia resources: Laptop
  • Website interactives/ links/ / Geogebra Applets
  • Process:
  1. The teacher can tell the students that they are surrounded by many different kinds of shapes every day.
  2. Many of these shapes are two-dimensional plane figures.
  3. Plane figures are flat. They can be closed or not closed.
  4. Plane figures made up of three or more closed line segments are polygons.
  5. Each line segment of a polygon is a side. Polygons are classified and named based on the number of sides.
  • Developmental Questions:
  1. How many vertices, sides and angles does this figure have ? Name the figure.
  2. What is the point of intersection of two lines called ?
  3. What parameters do you identify in each figure ? (side, vertex, angle, plane surface and area )
  4. What can you say about the number of vertices and the number of sides in each figure ?
  5. Which figure would you think will be formed if the number of sides is increased indefinately.
  • Evaluation:
  1. What determines the side or edge of the figure ?
  2. Are the students able to corelate the names with the number of sides ?
  3. Are the students able to appreciate the nature of shapes formed with each increasing side?
  4. Students can discuss angle sum property in each case by dividing the figure into triangles or quadrilaterals.
  • Question Corner:
  1. A hexagon is a polygon with _________ angles.
  2. Is circle a polygon ?
  3. What is a polygon with 12 sides called ?
  4. You have a collection of sides from triangles and decagons. The total number of sides is 100 and you have 4 decagons. How many triangles do you have ?


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. Characteristics of polygons

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

Concept #3. Types of polygons

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

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Usage

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