Surface Area of Semi Cylinder
This practical activity from Virtual Maths provides the net of a semicylinder, which is used to construct a 3-D model and calculate the surface area of the shape. Students are prompted to measure dimensions and find the area of the semicircles and rectangles. Their results are put into a structured table to enable them to find the total surface area of the semicylinder.
Resources to support this activity include an information sheet with relevant formulae and interactive tools which illustrate how the area of rectangles and volume of cylinders are calculated.
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Posted by paul_brassington on 21st April 2012
Activity time: Full Lesson …
Activity time: Full Lesson
Level / prior knowledge: KS4 Higher/Shape/2D & 3D shapes, perimeter, area, volume
Subject / curriculum links / skills: Probability
Preparation time: Print out the worksheet on thin card and ensure the swf files work on the school computer. Calculate the area of the worksheet after printing at school
Extra resources: Ensure a .swf file (flash) does work on the school computer before using it. Put this on your memory stick and then double click the file on the actual computer to be used. This simple, but necessary, test is required. Set of scissors for each pupil and glue sticks.
I began with the rectangle animation as I knew all would recognise and understand it. I moved quickly onto the semicircle to ensure the rustiness of some was removed and they quickly remembered how to calculate the area.
Next was the project of the astroturf pitch that is a composite shape and the pupils enjoyed the animation as they recognised the need for a cover and they quickly engaged in the lesson.
I split the class into teams and gave them 10 minutes to find the area after going through the animation with the whole class.
One team did need some assistance but all got the answer right and we moved onto the shape.
First the pupils cut out the sheet so ensure you have scissors and glue sticks available. I got them to measure the lengths and calculate the area before assembly, but this could be done afterwards. For those who finish early then I allowed them to decorate the shape.
Ensure you know the area and this must be done at your school because the shape may vary from printer to printer.