Two Important Concepts
- Drawings are not always accurate:
Although I believe creating the math on your own helps you to understand the concepts more clearly, sometimes formulas and other forms of mathematics besides drawings are needed. When completing the problem In, On, or Out, I started off with plotting the points and drawing my own circle, without a compass, in order to get a rough idea of what points were in, on, or out. However, I quickly realized that I needed to find my compass for this unit, as well as Demos online graphing calculator and formulas would give my a better solution than my little sketch.
2. Estimating the Area of a Circle:
The other skill that I developed through this unit is being able to estimate properly. Throughout my years in school, teachers always told me how to do math, instead of giving me the opportunity to discover the concepts on my own. During the homework, Using the Squared Circles, I was able to estimate the area and circumference of a circle by using ratios. Having the chance to start area and circumference of a circle using a shape I was already familiar with, a square, gave me the opportunity to apply my background knowledge to this new concept.
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