Maths Assessment: English Stadard (Area of Country)

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General Mathematics HSC Assessment Task 3 2012 1. Namibia (Africa) 2. Map A Map B 3. Map A – 1mm : 11.11 km (to nearest 2 decimals) Map B – 1mm : 11.76 km (to nearest 2 decimals) 4. 825,418 km2 http://en.wikipedia.org/wiki/Namibia 5. a. 830,000km2 b. 8.25418 x 105 8. The method that was most accurate was using the shapes. Map A Map B DYLAN RYDERTERA PATRICK TERA PATRICK The inaccuracies that occurred for both Map is fairly low, which means that calculation of the areas was accurate and precise. The Simpson’s rule was applied in Map A. The percentage error is 3.55%, which is more than Map B the use of shapes. This reason for these inaccuracies for Map B is that Simpsons ’rules will integrate curves to determine the area. In Namibia the country is made up of straight border and edgy coast, which meant that some areas will be left out in the calculation. For example, places like mountains are not measured in our bird eyes view of the map, whereas the research area does include the areas of mountains and its gradient. Lake and rivers are not considered in our diagram as the areas can be determined from the depth of the water. Also, referring to question 7 on the map, a big part of Namibia is left out because with the Simpsons rule it will only calculate the point of one measurement to the next point of the measurement. In Map B the use of shapes was applied in order to determine the area of Namibia. In this case the shapes proved to be more accurate than the Simpson’s Rule. It was more accurate because I was able to manipulate the shapes, how big or small it will be and which part of the country best suited different shapes. However there were some inaccuracies in this process, the Percentage error is 1.49%. The reason for these inaccuracies

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