our goal is to create an Algebracaching experience for one of your classmates similar to the ones you saw in the lesson. You must use different inequalities than the ones shown in the lesson. Find a partner. In Paint, PowerPoint, a program of your choosing, or using a scan of a handmade drawing, graph a system of inequalities in slope-intercept form on a coordinate plane. Please limit your coordinate plane to a 10 × 10 grid. The x-axis and y-axis should go from –5 to 5. Write the system of inequalities that accompanies your graph.
Pick an ordered pair within the shaded region to bury your "treasure." Keep this ordered pair to yourself, and do not share it with your partner. Verify, algebraically, that your ordered pair satisfies both inequalities in the system. treasure chest Submit the system of inequalities to your partner. You will not share your graph or the hidden treasure point, only the system of inequalities. Your partner will graph your system and try to guess where you "buried" the treasure. You have to supply instructions to your partner as if he or she knows nothing about graphing inequalities. If your partner does not successfully guess the ordered pair where you hid your treasure, have him or her email you his or her graphs. At this point, you may give your partner helpful hints on how he or she may fix his or her graph or narrow the search by giving a hint. Your hint may be an equation of another line that the treasure point lies on. Record all of the guesses it takes you and your partner to find where each other's treasure point lies. You are also doing the reverse of steps 2-4 at the same time. You will receive a system of inequalities from your partner. You will have to graph the system and guess where your partner hid their treasure. Give your partner written feedback on his or her system, answering the following questions: Were there any flaws with your partner's graph? If so, what were they, and were you able to help your partner fix them? Was it easy to find their treasure? Why or why not?
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