Difference between revisions of "Angles associated with parallel lines"

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(Created page with "===Name of the activity=== Brief blurb describing what the activity. If this has been borrowed from some external web site (for example, a non OER or OER site which had this...")
 
 
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===Name of the activity===
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Two parallel lines are cut by a transversal  the angles formed are alternate angles, corresponding angles co-interior angles and vertically opposite angles.
Brief blurb describing what the activity.  If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
 
  
 
=== Objectives ===
 
=== Objectives ===
Content objectives  - what content areas
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To understand corresponding angles are equal
  
Skill objectives - what specific skills
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To understand  alternate angles are equal
 
 
Classroom objectives - to demo peer learning, to make a classroom resource, etc -
 
 
 
All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
 
  
 
===Estimated Time===
 
===Estimated Time===
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30 minutes
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
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Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
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* Digital : Computer, geogebra application, projector.
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* Non digital : Worksheet and pencil.
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* Geogebra files : “[https://ggbm.at/ghzwdsur Parallellines-2.ggb]”
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{{Geogebra|ghzwdsur}}
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===Process (How to do the activity)===
 
===Process (How to do the activity)===
How to do the different steps of the activity?
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* Move the slider to draw a parallel line with the corresponding angles check box unchecked
 
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* How are the two line with each other
What kinds of questions you can ask for that activity
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* What is the line cutting the two line called
 
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* Bring the slider to initial position : check the corresponding angles check box
What are the student follow-up activities/ questions you can give?
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* Move the slider to show corresponding angles formed for the two lines
 
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* At the point of intersection of the parallel line and transversal : which other angles are equal
Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
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* Is the vertically opposite angle equal to the corresponding angle
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* What are alternate angles are they equal
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* '''Evaluation at the end of the activity'''
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# A minimum of how many corresponding angles should be equal for any two lines to be parallel.
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# How many pairs of corresponding angles are formed when a transversal intersects two parallel lines?
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# How many pairs of alternate angles are formed when  a transversal intersects two parallel lines?
  
Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
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[[Category:Lines and Angles]]

Latest revision as of 13:07, 29 October 2019

Two parallel lines are cut by a transversal  the angles formed are alternate angles, corresponding angles co-interior angles and vertically opposite angles.

Objectives

To understand corresponding angles are equal

To understand  alternate angles are equal

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles

Materials/ Resources needed

  • Digital : Computer, geogebra application, projector.
  • Non digital : Worksheet and pencil.
  • Geogebra files : “Parallellines-2.ggb


Download this geogebra file from this link.


Process (How to do the activity)

  • Move the slider to draw a parallel line with the corresponding angles check box unchecked
  • How are the two line with each other
  • What is the line cutting the two line called
  • Bring the slider to initial position : check the corresponding angles check box
  • Move the slider to show corresponding angles formed for the two lines
  • At the point of intersection of the parallel line and transversal : which other angles are equal
  • Is the vertically opposite angle equal to the corresponding angle
  • What are alternate angles are they equal
  • Evaluation at the end of the activity
  1. A minimum of how many corresponding angles should be equal for any two lines to be parallel.
  2. How many pairs of corresponding angles are formed when a transversal intersects two parallel lines?
  3. How many pairs of alternate angles are formed when  a transversal intersects two parallel lines?