This unit covered different things that all have to do with measurement. In class we began starting with the Pythagorean Theorem. Then we moved onto measuring simple distances using triangles and watching many different videos along the way about triangles, distance, measuring shapes and more. Next we moved onto learning about the distance formula and we created a lot circles. I learned that a circle always will have the same radial distance to each of its points which I had never known before this unit. I also learned about points on a x and y axis and how they can be same, what angles can be formed, and intersections with radial lines. Along the way we figured out in class that Sine and Cosine are also very much related. Sine is the ratio between the hypotenuse and opposite sides of triangles. And Cosine is the ratio between the adjacent and hypotenuse sides of triangles. We can use Sin and Cosine in many ways in math and they correlated very well into this unit. We also learned about how to use Sine and Cosine in the Pythagorean Theorem and the distance formula which was all new to me. After learning this, we were able to prove that the tangent of an angle is equivalent to sine or cosine using 30, 45, 60 degree angles and we incorporated radians into this as well. At the end of the trigonometry portion, we were given the Mount Everest problem. And had to figure out the height of the mountain without being able to enter inside and measure it, After trigonometry, we looked at polygonal equations. By using the habit of a mathematician "starting small" and "collaborate and listen" we were able understand how trigonometry is tied into this. We found the areas of equilateral and isosceles triangles and were able to make formulas for any amount of sided polygons by just plugging in the value of x. To wrap up the this project, we learned about volume in 3d shapes and how to calculate the area in shapes and watched a video about 3D and 2D shapes that was very interesting and creative.
Design Your Own Project For the Design Your Own Project part of this unit, we were told to design our own project using one of the skills taught.We also had to give a brief presentation in front of our class and reflection on the topic we chose. For the design your own project, my partner Emily and I chose to find the volume of a minion. We wanted something creative, funny, unique, challenging and different. 2. Your "Design Your Own Project" Write-Up. This should closely mirror your presentation and have three sections: A. Project Description: What did you measure and why? B. The math (show calculations: be very, very neat!). C. Brief reflection. 3. Overall "Measure Your World" Reflection. Be sure to place a heavy emphasis on The Habits of a Mathematician and your learning