Inquiry Activity Summary
1. Video on how to find a 30 60 90 triangle.
2. Video on 45 45 90
The values of r( hypotenuse ) is 1, the value of x(horizontal) is radical 2 divided by 2 , and y(vertical) is also radical 2 divided by 2.
3. Video on 60 30 90 triangle
4. This activity helps derive the unit circle by being able to just focus on one quadrant and then realizing that there are only certain things that change. This also helps see what the unit circle consists of, where we get our points from (the coordinates) and how everything eventually ends up changing just by the sign. This activity helped me understand what each coordinate meant on the unit circle by just focusing on one part and then managing to move what I have learned and understand why and how it changes.
5.How does everything tie together?
The sides for the 30 degree triangle will still be r=1 x=radical 3/2 and y= 1/2. For the 45 degree triangle r=1 y=radical 2 divided by 2 and y= radical 2 divided by 2. The 60 degree triangle will be r=1 y=1/2 and x= radical 3 over 2.
Inquiry Activity Reflection
1. The coolest thing i learned from this activity is how to connect everything that we have learned in previous years to what is essential to learn now.
2. This activity will help me in this unit because it is the foundation as to where the unit circle comes from and the rational behind it. Which means that if i were to ever forget what the unit circle is i would be able to solve it and not just remember nonsense. This is also essential because these are the most important points of the unit circle that repeat throughout.
3.Something that i never realized before about special right triangles and the unit circle is that they actually have a relation between them. The entire unit circle consist of numerous right triangles that give it its coordinates. Without the special right triangle this would not be accurate or as easy to manage as it is now. The special right triangles are the fundamental aspects of the Unit Circle.
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