In Geometry, we learn about points, lines, planes, angles, parallel lines, triangles, similarity, trigonometry, quadrilaterals, transformations, circles, and area.
9/7/2020
One way that we applied transformations to the real world was through discussing how video games were made when they were designed by hand in the early 1980s. We went through the process of designing our own video games which consisted of translations, rotations, and reflections that helped navigate the players of the video game.
https://drive.google.com/file/d/1N5ehoiTNJ0_eFEU8_ucDuHWxBArboNIb/view?usp=sharing
It was important throughout this process that we remember the differences between translations, reflections, rotations, and dilations. Translations are the shift of a figure, right, left, up, and down. Reflections are flips over the x or y axis. Rotations are the rotation of a figure counterclockwise or clockwise. Lastly, dilations are the shrinking and enlarging of a figure. The angles of the figure stay the same but the lengths of the sides change. An example of a dilation could be the shrinking of a cloth after it's been put in the dryer. A translation could be a plane flying, and a reflection could be somebody looking in the mirror. An example of a rotation could be the inside of a washing machine moving.
11/2/2020
One way that right triangle trigonometry applies to the real world is through finding the length of distances between 2 points. In geometry we used google maps and created right triangles from different neighborhoods in Atlanta. We used trig. Ratios to determine the length of the distance between the neighborhoods to different resources such as the hospital and grocery store. We then compared the length of these distances to the income in the neighborhoods. This helped to show the inequalities present in many areas in Atlanta.
https://docs.google.com/presentation/d/1ZRQwt415_3QZYmtVvJrb2vpfOtfq5FJJd_ZOHUgKLvU/edit?usp=sharing
In AP Human Geography Unit 1, we learned about types of maps. We had to find distances between places and discussed the connections between those places in the next units. To find the distances between places, we would connect them on google maps and measure the distances, and to find the hypotenuse we’d use the pythagorean theorem. We learned that as the distance between places increases, the interaction between those places decreases. This is known as distance decay.