Introduction
Congratulations! All of you have just finished your training to become a new pilot! But wait, your boss, Mr. Gonzalez, congratulates you and then assigns you as a group to answer five problems that proves you all can land a plane with out his assistance. Although this is your first attempt to land a p
lane on your own, you all are confident as a group that you will successfully land the plane. After completing the five problems, Mr. Gonzalez promises your training is complete and that you all are ready to fly your own plane!
Task
You all remember that the slope-intercept form of a line is y=mx+b. Getting the correct answer to all of the five questions Mr. Gonzalez has prepared for you all will successfully fly and land your plane! You will be able to answer each of the five questions until you get them correct, so do not worry. Mr. Gonzalez is getting ready to take all of you to your first plane and promises to ride with your group. Mr. Gonzalez wishes you all good luck!
Process
1. Mr. Gonzalez has assigned you into groups of 4
2. He then assigns you with determing the slope of the following five equations
x=2y+8
27=9x+y
180=26x=10y
50=2(x+2)+6y
100=10(5x)+2y
3. Once you all answer these correctly, your plane is now taking off into the sky!
4. Now, to keep the plane steady, you all have to use those same equations and determine the y-intercept. Remember, you all must answer the first one correctly before your group can move on to the next.
5. Now that you all have proven your group can take your plane off the ground and fly the plane steady, Mr. Gonzalez is anticipating you all to land the plane successfully as well. Now that you all have the slope and y-intercept for the five equations, he wants you all to use them to graph each equation on the graph provided. Remember, you all have to graph the first equation correctly before your group can move on to the next.
6. Once you all have drawn the graph for each equation correctly, your plane has landed and Mr. Gonzalez congratulates your group of new pilots!
Evaluation
As you answer each question, Mr. Gonzalez will record how many times you had to re-work a problem. If the amount exceeds five, then you will loose five points to your grade. If Mr. Gonzalez sees that you are working well as a group, then he will reward your group with extra points if needed. So make sure your group is working as a team!
Conclusion
You have proved that you know how to find the slope and y-intercept of an equation and use that to draw it on a graph. Did you know that it was possible? Well, your group did it! Now as a grade on your own seperate sheet of paper, answer these five reflective questions. Be sure to answer these on your own and we will discuss them as a class after everyone has became a pilot! You may use the websites provided in the Credits section to help answer any of the following questions. Remeber not to plagarize any work. You are to use them as a helping hand in answering your questions.
1. What equation could you have also used besides the slope-intercept form? Why do you think Mr. Gonzalez chose to use the slope-intercept form instead?
2. Do you think it was easier to work on the five equations as a group? Do you think Mr. Gonzalez should have let each pilot work on their own? Why do you think Mr. Gonzalez chose the pilots to work in groups?
3. How can you compare flying a plane with math? Did you know flying a plane had anything to do with math? If not, did it surprise you at all?
4. Can you think of any other profession that deals with math? Would you like to have a math profession? If so, which one? If not, what would you prefer?
5. By what we have done so far in class, what have you learned about what a slope determines? What does the y-intercept determine? How else can you use these in the "real-world"? Create a real-world scenario using slope and y-intercept.