Difference between revisions of "Axiom 2 and 3: If equals are added or subtracted to equals, the wholes are equal"
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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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=== Objectives === | === Objectives === | ||
− | To demonstrate | + | * To demonstrate if equals are added to equals, the wholes are equal |
+ | * To demonstrate if equals are subtracted to equals, the wholes are equal | ||
===Estimated Time=== | ===Estimated Time=== | ||
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=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
− | Prior knowledge of | + | Prior knowledge of points and lines |
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
* Digital : Computer, geogebra application, projector. | * Digital : Computer, geogebra application, projector. | ||
* Non digital : Worksheet and pencil | * Non digital : Worksheet and pencil | ||
− | * Geogebra files : “[https://ggbm.at/w5abppzb Axiom- | + | * Geogebra files : “[https://ggbm.at/w5abppzb Axiom-2 and 3.ggb]” |
{{Geogebra|w5abppzb}} | {{Geogebra|w5abppzb}} | ||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
− | * The | + | * The file demonstrates the Euclid's second and third axiom. |
− | * The | + | * The measures of all the lines corresponds to the distance between 0 of x-axis to point F. |
− | * If | + | * 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 '''Equals1'''. |
− | * | + | * With the change in position of slider '''Equals2''' an equal length of 3 is added to all lines. |
− | * Record | + | * It can be observed that the length of all the lines correspondingly increases. |
− | : {| class="wikitable" | + | * What do you notice about the lines. |
− | |Position | + | * Again changing the position of slider '''Equals2''' to 0 the measure of 3 units is eliminated. |
− | |0 | + | * Now what do you notice about the lines. |
− | |Length | + | * Record the segment lengths in the worksheet |
− | |Length | + | :{| class="wikitable" |
− | |Length | + | |Position of '''Equals2''' |
− | |Length | + | |0 - Point F |
+ | |Length BC | ||
+ | |Length GH | ||
+ | |Length EF | ||
+ | |Length IJ | ||
+ | |Length of the line + position of '''Equals 2''' | ||
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+ | | | ||
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|- | |- | ||
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'''Evaluation at the end of the activity''' | '''Evaluation at the end of the activity''' | ||
− | * Can you conclude if | + | * Can you conclude if equal measures are added to equal lines the resulting lines are equal. |
Revision as of 06:34, 24 April 2019
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 idea and based on which the activity was developed)
Objectives
- To demonstrate if equals are added to equals, the wholes are equal
- To demonstrate if equals are subtracted to equals, the wholes are equal
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-2 and 3.ggb”
Download this geogebra file from this link.
Process (How to do the activity)
- The file demonstrates the Euclid's second and third 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 Equals1.
- With the change in position of slider Equals2 an equal length of 3 is added to all lines.
- It can be observed that the length of all the lines correspondingly increases.
- What do you notice about the lines.
- Again changing the position of slider Equals2 to 0 the measure of 3 units is eliminated.
- Now what do you notice about the lines.
- Record the segment lengths in the worksheet
Position of Equals2 0 - Point F Length BC Length GH Length EF Length IJ Length of the line + position of Equals 2 . .
Evaluation at the end of the activity
- Can you conclude if equal measures are added to equal lines the resulting lines are equal.