Copyright Tim Morris/St Stephen's School

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Copyright Tim Morris/St Stephen's School
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Presentation transcript:

Copyright Tim Morris/St Stephen's School Slices of  This is a series of Powerpoint slideshows to illustrate how to calculate the area of various 2-D shapes. Start with the Rectangle, then move onto the Parallelogram. After that select any of Triangle, Trapezium and Circle. Please feel free to copy and modify any of these slide shows, but make sure you acknowledge the author when doing so. Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of ½  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of ¼  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of ¼  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of ¼  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of ¼  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of ¼  Copyright Tim Morris/St Stephen's School

Slices of ¼  Total distance along the top = ½ circumference Copyright Tim Morris/St Stephen's School

Slices of ¼  Total distance along the top = ½ circumference Length of side = radius Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/8  Copyright Tim Morris/St Stephen's School

Slices of 1/8  Total distance along the top = ½ circumference Copyright Tim Morris/St Stephen's School

Slices of 1/8  Total distance along the top = ½ circumference Length of side = radius Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/16  Copyright Tim Morris/St Stephen's School

Slices of 1/16  Total distance along the top = ½ circumference Copyright Tim Morris/St Stephen's School

Slices of 1/16  Total distance along the top = ½ circumference Length of side = radius Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/…  And if I had time to create a pie with many, many more slices than 16, maybe 32, or 64, or 128 or even more slices than any other power of 2 (which all these numbers are), then I would end up with a pie with an infinite () number of red and yellow slices which when sliced up would look more and more like a rectangle as the top and bottom edges become less wavy and the sides become more vertical… Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/  Copyright Tim Morris/St Stephen's School

Slices of 1/  Total distance along the top = ½ circumference Copyright Tim Morris/St Stephen's School

Slices of 1/  Total distance along the top = ½ circumference Length of side = radius Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/ Total distance along the top = ½ circumference ½ circumference = ½ (2   radius) Length of side = radius Copyright Tim Morris/St Stephen's School

Slices of 1/ Total distance along the top = ½ circumference ½ circumference = ½ (2   radius) Area = Top distance x Length of side Length of side = radius Copyright Tim Morris/St Stephen's School

Slices of 1/ Total distance along the top = ½ circumference ½ circumference = ½ (2   radius) Area = ½ (2    radius)  radius Length of side = radius Copyright Tim Morris/St Stephen's School

Slices of 1/ Total distance along the top = ½ circumference ½ circumference = ½ (2   radius) Area =   radius  radius Length of side = radius Copyright Tim Morris/St Stephen's School

Copyright Tim Morris/St Stephen's School Slices of 1/ Total distance along the top = ½ circumference ½ circumference = ½ (2   radius) Area =   radius2 Length of side = radius Copyright Tim Morris/St Stephen's School