Quarter+2+Project

Task 1: 4 .Does your graph ever increase? Explain. 5. Is there any piece of the graph that is a horizontal line? Identify the domain where this happens and give 2 scenarios that explains what the spaceship was doing at the time. 7**.have to travel 90.4 to reach planet x.** 8.Describe the travel pattern of the spaceship. Be sure to include specific distance and time measurements to make your story clearer. **The graph goes down whenever I make a right turn towards the mother ship, for example between 6 and 7 minutes (51.7) and (44.6).**
 * It increases from 10 (34.1) to 11 minutes (37.9) because I went over the earth**.
 * yes between 4 and 6 minutes because there both make a straight line.**

5.Below the screenshot, discuss some of the techniques you had to use in trying to make the graphs representing the two spaceships match up. **I traveled the exact same way as I did for the first spaceship. I was moving the spaceship while looking at the graph line. Once the first line changes direction i repeat the same move.**

10.Below the screen shot, describe Player Two’s pattern of travel as it relates to each piece of the graph. Be sure to note when the slope changes and give a reason for this change according to the context. Discuss these changes using the words distance and time in your response. **Player two's travel went under the sun therefore creating a steep slope the it went over the planet earth and downwards between the two balls of fire causing the slope to change from 83.4 to 72.5. Once it was going up to the mother ship the slope was steep again.**

11.Is there ever a time that you would have a vertical line on your graph? Explain what this would represent and if it is possible or not. **I would get a vertical line before i reach the mother ship representing that I've reached my destination.**

12. Is there ever a way to make the graph zig-zag back and forth, left to right? Explain what this would represent and if it is possible or not. **I can make a** **zig-zag by making the ship go up and down repeatedl**y.


 * Task 2: **

1.Identify 3 solutions to the system of inequalities shown. (-1**,-3) (0,-3) (1,-3)** 2.What is one point that is a solution to only on inequality, but not the other? **(2,4)** 4. Graph the point (2, 6) and drag it to the left until the purple shading switches to the other side of the line. Explain why this happens. **because it turned into a negative point (-2,6) and when it did so did the shaded region.** 5.What would you need to change about the equation to keep the purple shading on the right side of the line? **Flip the inequality sign to move the shaded region.** 6.Use the points that are (blue/green) to move the lines around. 7.One line needs to represent the inequality y< -1/3x-2. (You an change the inequality symbol in the equation by clicking on it.) 8.If the points you are moving are not snapping to the grid at even integers, you need to press the “toggle snap”, green button, on the right. 9.Move the second line to show the inequality y<= 2x +1. 10.Take a screenshot of your graph and embed it onto your wiki page.

11.Which of the blue/green points are solutions to the system of inequalities? **Explain how you know. any points that are inside the double shaded region.** 12.What will be a common error that students make in choosing the blue/green points that are solutions? Explain what their misconception (error in their thinking) might be. **Sometimes students make the mistake of thinking the solution is on the dashed line but the inequality sign has to be greater to or equal than or less to or equal than in order to be a solution.** 13.Let’s say that there was no shading on these graphs and that a system of EQUATIONS is represented rather than a system of inequalities. 14.Now, place one line so that it represents y = -0.5x+3.5. 15. The other line should have its blue/green points on (-2, 6) and (-1, 7) 16. What would the solution be if this were a system of equations.**(-3,5)** 17.Prove that this is the solution to the system algebraically. Task 3:

6.Complete the game as before. 7.When given the 3 choices this time… choose the bottom button “try other videogame challenges”. 8.Follow the directions on the right to compete the mission successfully. RECORD EACH OF YOUR STEPS! (points and equations used). **//(//****//-9,0) x=-9 (2,0) y=0 (0,9) x=2 (7,9) y=9//** 9.If you need an equation that is “x =” instead of “y =”, then click on the “y =” button and you are given that option. 10.Once you have reached your destination, the level is complete. You DO NOT need to keep replaying (unless you want to) to get the least number of moves. 11.Take a screenshot and embed it onto your wiki page.
 * 1) Go to the website. @http://www.thirteen.org/get-the-math/the-challenges/math-in-videogames/take-the-challenge/17/
 * 2) Read and complete the first challenge.
 * 3) Each time you enter a point, you will need to press “activate” to get the ship to move. When you have missed the asteroid successfully, you are given 3 options. You need to choose the “reset” option at the top so you can record the answer.
 * 4) Now that you know how to get past the asteroid, make your first move and record the coordinates that you chose. **//I chose (2,5)//**
 * 5) Take a screenshot after your first move so we can see that the ship will miss the asteroid.

12.Notice that each of the lines do not extend infinitely. Line segments have been created by the submarine taking a turn at each of the large points. Identify the domain of each line segment. Write these domains using the inequality symbols (not interval notation). **[x=9] (-9<=x<=2) [x=2] (2<=x<=7)**