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Shadows Portfolio Imp 2

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Over the duration of six weeks, we worked in a math unit called "Shadows." During the unit, we worked to solve the unit problem, which was to find a formula for how long a shadow was. When first given the unit problem, I considered it a simple task but soon after I realized there were many steps and ideas that needed to be learned before the unit goal could be reached. Throughout these six weeks, we learned about trigonometry, similarity, patterns, congruency, and using angles to solve problems. These new math ideas were just things we needed to know to find out our bigger goal for the unit. One of the first activities we did using manipulatives was physically measuring a shadow or Shadow Data Gathering. When measuring a shadow you need …show more content…

This concept was used in Homework 17 and many other assignments. Although I am not quite sure how learning about angles of approach and departure helped us reach our unit goal of finding the formula, it was useful to know for solving other equations we had to answer on our road to answering the unit goal. Many times when trying to figure out angles we had to use other information we had such as when we were working on the Shadows Supplemental Worksheet or when trying to figure out a transversal. A transversal looks like this (see picture). When trying to figure out the angle measurements of a transversal you have to compare alternate exterior and interior angles. You also know that a and b have to add up to 180 degrees. Solving a transversal is just like trying to solve the Shadows Supplemental Worksheet because you have to break down knowledge and use what you know to figure out what you do not. This helps solve the unit goal because trying to use what you know to figure out what you do not is exactly what you have to do when solving that unit formula or any formula for that matter. One of the final concepts we learned was Sin, Cos and Tan which are trigonometry terms. Sin is the side opposite of the hypotenuse over the hypotenuse. Cos is the side adjacent to the hypotenuse over the hypotenuse. Tan is the side opposite of the hypotenuse over the side adjacent to the hypotenuse. For simpler understanding, refer to the

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