Difference between revisions of "Area of a quadrilateral"
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| + | A diagonal divides a quadrilateral into 2 triangles. Understanding area of a quadrilateral in terms of triangles is done with this activity. | ||
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=== Objectives=== | === Objectives=== | ||
To find the area of a quadrilateral | To find the area of a quadrilateral | ||
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=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
| + | Prior understanding of properties of triangles | ||
===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/ | + | * Geogebra files : ‘[https://ggbm.at/r9etseqb Area of a quadrilateral.ggb]’ |
| − | {{Geogebra| | + | {{Geogebra|r9etseqb}} |
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
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* How can the area of the quadrilateral be found with the two triangles that are formed? | * How can the area of the quadrilateral be found with the two triangles that are formed? | ||
* Record the values of segments | * Record the values of segments | ||
| + | : {| class="wikitable" | ||
| + | |Value of diagonal AC (f) | ||
| + | |Value of h | ||
| + | |Value of j | ||
| + | |Area of triangle ABC | ||
| + | |Area of triangle ADC | ||
| + | |Area of Quadrilateral | ||
| + | |- | ||
| + | |. | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | | | ||
| + | |- | ||
| + | |. | ||
| + | | | ||
| + | | | ||
| + | | | ||
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| + | |} '''Evaluation at the end of the activity''' | ||
| + | :* Can the area of any quadrilateral be found with this method | ||
| + | |||
| + | [[Category:Quadrilaterals]] | ||
Latest revision as of 07:54, 29 October 2019
A diagonal divides a quadrilateral into 2 triangles. Understanding area of a quadrilateral in terms of triangles is done with this activity.
Objectives
To find the area of a quadrilateral
Estimated Time
40 minutes
Prerequisites/Instructions, prior preparations, if any
Prior understanding of properties of triangles
Materials/ Resources needed
- Digital : Computer, geogebra application, projector.
- Non digital : Worksheet and pencil
- Geogebra files : ‘Area of a quadrilateral.ggb’
Download this geogebra file from this link.
Process (How to do the activity)
- How can the quadrilateral be divided into triangles?
- What is common for the two triangles formed?
- How can the area of the quadrilateral be found with the two triangles that are formed?
- Record the values of segments
Evaluation at the end of the activityValue of diagonal AC (f) Value of h Value of j Area of triangle ABC Area of triangle ADC Area of Quadrilateral . .
- Can the area of any quadrilateral be found with this method