Difference between revisions of "Axiom 1: Things which are equal to the same thing are equal to one another"

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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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Comparison of geometric parameters to check for their equality, for example if an area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.
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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 ===
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Content objectives  - what content areas
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To demonstrate things which are equal to the same thing are equal to one another
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Skill objectives - what specific skills
 
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Classroom objectives - to demo peer learning, to make a classroom resource, etc -
 
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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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15 minutes
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
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Prior knowledge of points and lines
  
 
===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/w5abppzb Axiom-1.ggb]”<br>
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{{Geogebra|w5abppzb}}
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===Process (How to do the activity)===
 
===Process (How to do the activity)===
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How to do the different steps of the activity?
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* The  file demonstrates the  first Euclid's  axiom.
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* The  measures of all the lines corresponds to the distance between 0 of  x-axis to point F.
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What kinds of questions you can ask for that activity
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* If  the distance of point F from 0 is increased or decreased the  lengths of all the lines also varies accordingly this can be done  by using the slider '''Distance'''.
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* Since  all the lines measure the same distance (0 to point F), the lines  are equal to each other.
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What are the student follow-up activities/ questions you can give?
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* Record  the segment lengths in the worksheet
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: {| class="wikitable"
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Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
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|Position  of Distance
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|0  - Point F
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|Length  BC
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|Length  GH
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|Length  DE
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|Length  IJ
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'''Evaluation at the end of the activity'''
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* Can this be extended to other geometric shapes
  
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Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
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[[Category:Introduction to Euclid's Geometry]]

Latest revision as of 08:14, 29 October 2019

Comparison of geometric parameters to check for their equality, for example if an area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.

Objectives

To demonstrate things which are equal to the same thing are equal to one another

Estimated Time

15 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of points and lines

Materials/ Resources needed

  • Digital : Computer, geogebra application, projector.
  • Non digital : Worksheet and pencil
  • Geogebra files : “Axiom-1.ggb”


Download this geogebra file from this link.


Process (How to do the activity)

  • The file demonstrates the first Euclid's axiom.
  • The measures of all the lines corresponds to the distance between 0 of x-axis to point F.
  • If the distance of point F from 0 is increased or decreased the lengths of all the lines also varies accordingly this can be done by using the slider Distance.
  • Since all the lines measure the same distance (0 to point F), the lines are equal to each other.
  • Record the segment lengths in the worksheet
Position of Distance 0 - Point F Length BC Length GH Length DE Length IJ
.
.

Evaluation at the end of the activity

  • Can this be extended to other geometric shapes
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