883
edits
Changes
Jump to navigation
Jump to search
Line 14:
Line 14: − + − + − + − + − + − + − * Record the segment lengths in the worksheet+ − − |Position of Distance − |0 - Point F − |Length BC − |Length GH − |Length DE − |Length IJ − |- − |. − | − | − | − | − | − |- − |. − | − | − | − | − | − |} − +
Axiom 5: The whole is greater than the part (view source)
Revision as of 07:53, 24 April 2019
, 07:53, 24 April 2019→Estimated Time
* Digital : Computer, geogebra application, projector.
* Digital : Computer, geogebra application, projector.
* Non digital : Worksheet and pencil
* Non digital : Worksheet and pencil
* Geogebra files : “Axiom-5.ggb”
* Geogebra files : “[https://ggbm.at/m7mhxv8b Axiom-5.ggb]”
*
*
{{Geogebra|w5abppzb}}
{{Geogebra|m7mhxv8b}}
===Process (How to do the activity)===
===Process (How to do the activity)===
* The file demonstrates the first Euclid's axiom.
* The files demonstrate Euclid's fifth axiom.
* The measures of all the lines corresponds to the distance between 0 of x-axis to point F.
* With the two sliders in initial position – it can be seen that there is a larger square and a small square.
* 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'''.
* Change in position of first slider moves the super imposed square.
* Since all the lines measure the same distance (0 to point F), the lines are equal to each other.
* The second slider fits the small square into part to make it a whole.
:
: {| class="wikitable"
'''Evaluation at the end of the activity'''
'''Evaluation at the end of the activity'''
* Can you conclude if all the lines are equal to a measure on x- axis then they are equal to one another.
* If a part is taken from a whole what will remain.