Unit+2+Project

Task 1

Task 2
 * 1) Identify 3 solutions to the system of inequalities shown. **(-1,9) (0, 9) (1, 9)**
 * 2) What is one point that is a solution to only on inequality, but not the other? **(3,0)**
 * 3) 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. **In order for the equation to stay true, the shading has to switch. When it moved from a negative slope, where the shading for the equation is on the left, to a positive slope, the shading had to change because on positive slopes, this equation is only true when the shading is on the right.**
 * 4) What would you need to change about the equation to keep the purple shading on the right side of the line? **You would need to change the equation's sign.**
 * 5) Take a screenshot of your graph and embed it onto your wiki page.
 * 6) [[image:GraphMath.jpg]]
 * 7) Which of the blue/green points are solutions to the system of inequalities? **B, because it is the only one in the shaded region.**
 * 8) 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. **D, C and A. D because it is on an <= line, but it is not in the correctly shaded region, C because it is on the line in the correctly shaded region, but its a < line, not a <= line. And A because it is on the line for the same two reasons as D and C.**
 * 9) What would the solution be if this were a system of equations.
 * 10) Prove that this is the solution to the system algebraically.**[-4.81]****?**
 * 11) -.5x + 3.5 = 1x + 8.31
 * 12) 3.5 = 1.5x + 8.31
 * 13) **[-4.81]?**

Task 3
 * 1) Take a screenshot after your first move so we can see that the ship will miss the asteroid.[[image:MathGameCap1.jpg]]
 * 2) [[image:MathGameCap2.jpg]]
 * 3) Follow the directions on the right to compete the mission successfully. RECORD EACH OF YOUR STEPS! (points and equations used)
 * 4) **(-9, -3) [x=4]**
 * 5) **(-2, -3) [y=0x-3]**
 * 6) **(7,9) [y=3/4x+9]**
 * 7) 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). **I don't understand?**
 * 8) **4?**
 * 9) **0?**
 * 10) **3/4?**
 * 11) Having multiple pieces of an equation together on the same graph creates a piecewise function. You are going to write a piecewise function for your graph and embed that onto your wiki page. Follow the example below. You will be using the site Bubbl.us to do this.
 * 12) Complete level 2, follow the same steps as you did for level 1.
 * 13) Complete level 3, follow the same steps as you did for level 1. **I don't get it, what example?**