jensen4

Spanky's Ent.
 * Pedro
 * Kristina
 * Carlos

**Follow the directions on the Vertical Mo****tion page, to complete each of the sections below.**

 * __The Word Problem__:** How would you solve for time in the problem your group was assigned? Prepare the equation to solve for time, defining the variables and supporting your choice in equation.
 * 1) You are standing on a bridge over a creek holding a stone 20 feet above the water. You throw the stone upward with an initial velocity of 30 feet per second. How long will it take for the stone to reach the water?[[image:bridge.png width="131" height="77"]]
 * 2) [[image:file:///Users/student/Desktop/25equation.png]] <---that's weird O.o[[image:25goodequation.png width="241" height="39"]] < This is the correct equation because in the problem it says the ball is THROWN.
 * 3) A is -16 because it's just part of the equation. Velocity is 30 because that's the speed. H is 0 because that's where we want our height to end up. H naught is 20 because thats the height above the water.
 * 4) [[image:25equation.png width="251" height="43"]]


 * __The Parabola:__** Use what you know about parabolas to predict the shape of the graph. What will it look like, and how do you know?
 * 1) A is -16, B is 30, and C is 20.
 * 2) A effects the parabola by showing if it's going to go upside down or not. A positive means it'll go up and a negative will make it go upside down. The bigger the number, the thinner the line. Our a will make our parabola go down since its -16. Our parabola will be thin because is a big whole number.
 * 3) C will determine where the parabola will be located on the y-intercept. In our case, c is 20 so our parabola will go up. In our case our y-intercept will be up 20.
 * 4) The discriminant is

[[image:_25discriminant.png width="239" height="118" link="Vertical Motion"]]
The Discriminant tells us if it's positive there's 2 solutions. If it's negative there's no solution and if it's 0 theres 1 one solution. In our problem we have 2 answers (roots) as you can see below.


 * __The Math__:** Pretend you are the teacher, and this section is your lesson. Post the calculations required to graph the equation and find the solution, and show all the steps to doing so. Teach your audience all the important parts of the graph and explain what they mean for the problem you were given.


 * __The Solution and The Meaning__:** What do the different parts of the graph mean? What does the solution mean?
 * 1) Our solution is when the stone reaches the water.
 * 2) The vertex represents when the stone stops going up and starts coming down.
 * 3) Y represents the height when the ball is thrown.
 * 4) The roots in our problem represent how long it will take for the stone to reach the water.
 * 5) The stone was in the air for 2.4 seconds because our origin started at 0 and our root was at 2.4.


 * __Reflection__** How did it feel to do the work and pretend to be the teacher? Do you think you understand the material more, now? Why or why not?

We as a team agreed that it was harder to work as a team of three rather than as a whole class or alone. Our reason being that everyone tends to slack off if a teacher is not around all the time. The experience of working together in a small group is great though. I did understand the material more because when in a small group everything on our mind can come out easier! We don't have to be afraid of sounding dumb or being left behind because there was only three of us. Now i understand parabolas better because in my group my mind on this was refreshed and i also learned some things that I probably wouldn't have if i was to work alone. If i could do a project like this again i would because in my opinion it is way more interactive than any test I've ever done! To be honest, I can easily recommend this project to be done again for next years Eighth Graders!

-Pedro

__**Reflection**__

One thing that was difficult for me was finding the porabola. Something i would do differently next time is to try to put more effort in as a group because i feel i did help but not as much as i could of done. Yes this did help me better because I now get how to find the roots, axis of symmetry, vertex, and the y-intercept, because there were my partners there to help me, and because we worked on it for awhile. The feelings of doing the work of the teacher is really hard because you ahve to make sure everything is right in a certain amount of time.

-Kristina