I/D1: Unit N - How do SRT and UC relate?

INQUIRY ACTIVITY SUMMARY







* 30 degree  triangle description







A 30 degree angle is close to the x axis and it is closer to zero on a coordinate plane.the 30 degree triangle has a the same coordinate as as 60 degree triangle.The 30-60-90 triangle is the only right triangle whose angles are in an arithmetic progression. A 45 degree angle is half of a right angle and is on the middle of the first quadrant.We have a 30 degree triangle that its special rules are 2x,x radical 3, and x. in the directions we are told that r is equal to 1. Therefore we are left with 2x,x radical 3, and x. In order for us to have R (hypotenuse)equal to 1 we have to divide by 2x to all sides.The r side is 1 then x radical 3 divided by 2x is radical 3 over 2.The last side is x divided by 2x is 1/2. I was able to get the 30 degree angle coordinates for the unit circle.This lies in the 1 quadrant.

*60 degree triangle description


 
 A 60 degree angle is close to the x axis.We have a 60 degree triangle that its special rules are 2x,x radical 3, and x. in the directions we are told that r is equal to 1. Therefore we are left with 2x,x radical 3, and x. In order for us to have R (hypotenuse)equal to 1 we have to divide by 2x to all sides.The r side is 1 then x radical 3 divided by 2x is radical 3 over 2.The last side is x divided by 2x is 1/2. I was able to get the 60 degree angle coordinates for the unit circle.This lies in the 1 quadrant.





* 45 degree  triangle description

This is a 45-45-90 triangle whose special rules are 2x,x radical 2 ,x radical 2. We are given that r is equal to 1. We divide everything by 2x. We get 1, radical 2 over 2 ,radical 2 over 2.

 INQUIRY ACTIVITY REFLECTION
1. The coolest thing I learned from this activity was… that every coordinate is located on the unit circle. I never knew that we can use this to get a value of a given point.

 2. “This activity will help me in this unit because i need to learn the unit circle by memory and i need to be able to do it quick. I also need to know this to do well on the test and be able to pass the test. 

3.Something I never realized before about special right triangles and the unit circle is they are identical and they are the ones that are all over the circle.I see that it is the same for all other quadrants.

RWA #1 Unit M

1.Mathematical definition PARABOLA-the set of all points the equidistant from a point called the focus and a line called the directrix.(Mrs. Kirch) 2.Mathematical equation-(x-h)^2=4p(y-k) and (y-k)^2=4p(x-h) Graphically x-h The directrix is the line that crosses the vertex.the focus located on the directrix line. 3. This picture shows how parabolas are are used in real life.they are mathematically calculated to be kept standing and to support a roof. Its interesting how a simple shape can cause the building to stand. Parabolas are seen in buildings and bridges. It requires equations that help the engineer built a stable building or bridge. For bridges it must be calculated to be strong enough to hold cars. 4.www.chelsfield.com/project/the-parabola/ www.mathwarehouse.com/geometry/parabola/real-world-application.php