Difference between revisions of "Construct an isosceles trapezium and study its properties"
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− | + | *Estimated Time: 40 minutes. | |
+ | *Materials/ Resources needed: Laptop, geogebra file, projector and a pointer. | ||
+ | *Prerequisites/Instructions, if any | ||
+ | #The students should know the concepts of parallel lines, perpendicular lines and rectangle. | ||
+ | #They should know basic constructions like parallel lines and perpendicular lines. | ||
+ | *Multimedia resources: Laptop. | ||
+ | *Website interactives/ links/ / Geogebra Applets : This geogebra file has been done by ITfC-Edu-Team | ||
+ | <div id="ggbContainer9df782461d8386df4ddf9efd19c3d3ff"></div> | ||
+ | *Process: | ||
+ | #Recall the figure trapezium and its properties. | ||
+ | #State that a trapezium with two non- parallel sides equal is an isosceles trapezium. | ||
+ | #By moving the vertices of the trapezium, you can observe trapeziums of different sizes and shapes. | ||
+ | #Make sure you note when your trapezium turns into a rectangle. | ||
+ | #Observe the symmetry of an isosceles trapezium. | ||
+ | #Study its properties. | ||
+ | #Drag the vertices of the trapezium and observe your angle measures. | ||
+ | #Make a conjecture about the base angles of an isosceles trapezium. (Both of the parallel sides are considered bases, so a trapezium has two pairs of base angles.) | ||
+ | *Developmental Questions: | ||
+ | #What are parallel lines ? | ||
+ | #What is a trapezium ? | ||
+ | #Is trapezium a quadrilateral ? | ||
+ | #What are the characteristic properties of a trapezium ? | ||
+ | #What do you notice about the non-parallel sides ? | ||
+ | #How many interior angles do you see ? | ||
+ | #What is the sum of 4 angles of any quadrilateral ? | ||
+ | #What can you conclude about interior angles ? | ||
+ | #What is special about diagnols in an isosceles trapezium ? | ||
+ | *Evaluation: | ||
+ | #Are all trapeziums isosceles ? | ||
+ | #Are all trapeziums quadrilaterals too ? | ||
+ | #Can rectangle be considered as an isosceles trapezium ? | ||
+ | *Question Corner: | ||
+ | <span> </span> | ||
+ | #State the properties of isosceles trapezium ? |
Revision as of 11:30, 30 May 2019
- Estimated Time: 40 minutes.
- Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
- Prerequisites/Instructions, if any
- The students should know the concepts of parallel lines, perpendicular lines and rectangle.
- They should know basic constructions like parallel lines and perpendicular lines.
- Multimedia resources: Laptop.
- Website interactives/ links/ / Geogebra Applets : This geogebra file has been done by ITfC-Edu-Team
- Process:
- Recall the figure trapezium and its properties.
- State that a trapezium with two non- parallel sides equal is an isosceles trapezium.
- By moving the vertices of the trapezium, you can observe trapeziums of different sizes and shapes.
- Make sure you note when your trapezium turns into a rectangle.
- Observe the symmetry of an isosceles trapezium.
- Study its properties.
- Drag the vertices of the trapezium and observe your angle measures.
- Make a conjecture about the base angles of an isosceles trapezium. (Both of the parallel sides are considered bases, so a trapezium has two pairs of base angles.)
- Developmental Questions:
- What are parallel lines ?
- What is a trapezium ?
- Is trapezium a quadrilateral ?
- What are the characteristic properties of a trapezium ?
- What do you notice about the non-parallel sides ?
- How many interior angles do you see ?
- What is the sum of 4 angles of any quadrilateral ?
- What can you conclude about interior angles ?
- What is special about diagnols in an isosceles trapezium ?
- Evaluation:
- Are all trapeziums isosceles ?
- Are all trapeziums quadrilaterals too ?
- Can rectangle be considered as an isosceles trapezium ?
- Question Corner:
- State the properties of isosceles trapezium ?