IM 6.9.5 Lesson: More than Two Choices

Students in a sixth-grade class were asked, “What activity would you most like to do for field day?” The results are shown in the table.
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[/img][br]What percentage of the class voted for softball?
What percentage did not vote for softball as their first choice?
Suppose students at our school are voting for the lunch menu over the course of one week. The following is a list of options provided by the caterer.
[table][tr][td]Menu 1: Meat Lovers[/td][td]Menu 2: Vegetarian[/td][/tr][tr][td][list][*]Meat loaf[/*][*]Hot dogs[/*][*]Pork cutlets[/*][*]Beef stew[/*][*]Liver and onions[/*][/list][/td][td][list][*]Vegetable soup and peanut butter sandwich[/*][*]Hummus, pita, and veggie sticks[/*][*]Veggie burgers and fries[/*][*]Chef’s salad[/*][*]Cheese pizza every day[/*][*]Double desserts every day[/*][/list][/td][/tr][tr][td]Menu 3: Something for Everyone[/td][td]Menu 4: Concession Stand[/td][/tr][tr][td][list][*]Chicken nuggets[/*][*]Burgers and fries[/*][*]Pizza[/*][*]Tacos[/*][*]Leftover day (all the week’s leftovers made into a casserole)[/*][*]Bonus side dish: pea jello (green gelatin with canned peas)[/*][/list][/td][td][list][*]Choice of hamburger or hot dog, with fries, every day[/*][/list][/td][/tr][/table][br]Here are two voting systems that can be used to determine the winner.[br][list][*]Voting System #1. [i]Plurality[/i]: The option with the most first-choice votes (stars) wins.[/*][*]Voting System #2. [i]Runoff[/i]: If no choice received a majority of the votes, leave out the choice that received the fewest first-choice votes (stars). Then have another vote.[/*][/list][br]If your first vote is still a choice, vote for that. If not, vote for your second choice that you wrote down.[br]If there is still no majority, leave out the choice that got the fewest votes, and then vote again. Vote for your first choice if it’s still in, and if not, vote for your second choice. If your second choice is also out, vote for your third choice.
To vote, drag one of the following symbols next to each menu option to show your first, second, third, and last choices. If you use the slips of paper from your teacher, use only the column that says “symbol.”
How many people in our class are voting? 
How many votes does it take to win a majority?
How many votes did the top option receive? 
Was this a majority of the votes?
People tend to be more satisfied with election results if their top choices win. For how many, and what percentage, of people was the winning option:
After the second round of voting, did any choice get a majority? If so, is it the same choice that got a plurality in Voting System #1?
How satisfied were the voters by the election results? For how many, and what percentage, of people was the winning option:
Which choice won?
Let’s analyze a different election.
[size=150]In another class, there are four clubs. Everyone in each club agrees to vote for the lunch menu exactly the same way, as shown in this table.[/size][br][img]data:image/png;base64,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[/img][br][br][size=150]Figure out which option won the election by answering these questions.[/size][br][br]On the first vote, when everyone voted for their first choice, how many votes did each option get?
Compare the satisfaction results for the plurality voting rule and the runoff rule. Did one produce satisfactory results for more people than the other?
Did any choice get a majority?
Which option is removed from the next vote?
On the second vote, how many votes did each of the remaining three menu options get? 
Did any option get a majority?
Which menu option is removed from the next vote?
On the third vote, how many votes did each of the remaining two options get? Which option won?
Estimate how satisfied all the voters were.
For how many people was the winner their first choice?
For how many people was the winner their second choice?
For how many people was the winner their third choice?
For how many people was the winner their last choice?
Compare the satisfaction results for the plurality voting rule and the runoff rule. Did one produce satisfactory results for more people than the other?
Your class just voted using the instant runoff system. Use the class data for following questions.
For our class, which choice received the most points?
Does this result agree with that from the runoff election in an earlier activity?
For the other class, which choice received the most points?
Does this result agree with that from the runoff election in an earlier activity?
The runoff method uses information about people’s first, second, third, and last choices when it is not clear that there is a winner from everyone’s first choices. How does the instant runoff method include the same information?
Numbering your choices 0 through 3 might not really describe your opinions. For example, what if you really liked A and C a lot, and you really hated B and D? You might want to give A and C both a 3, and B and D both a 0.
Design a numbering system where the size of the number accurately shows how much you like a choice. Some ideas:[br][list][*]The same 0 to 3 scale, but you can choose more than one of each number, or even decimals between 0 and 3.[/*][*]A scale of 1 to 10, with 10 for the best and 1 for the worst.[/*][/list][br]Try out your system with the people in your group, using the same school lunch options for the election. Do you think your system gives a more fair way to make choices? Explain your reasoning.
Numbering your choices 0 through 3 might not really describe your opinions. For example, what if you really liked A and C a lot, and you really hated B and D? You might want to give A and C both a 3, and B and D both a 0.
Design a numbering system where the size of the number accurately shows how much you like a choice. Some ideas:[br][list][*]The same 0 to 3 scale, but you can choose more than one of each number, or even decimals between 0 and 3.[/*][*]A scale of 1 to 10, with 10 for the best and 1 for the worst.[/*][/list][br]Try out your system with the people in your group, using the same school lunch options for the election.Do you think your system gives a more fair way to make choices? Explain your reasoning.
Clare, Han, Mai, Tyler, and Noah are deciding what to do on the weekend. Their options are cooking, hiking, and bowling. Here are the points for their instant runoff vote. Each first choice gets 2 points, the second choice gets 1 point, and the last choic
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LzFU54fggx/Cce1fgAmnzCIB/p4oEbjhyCrB67pe/4WJV+19U7pU+6tFC7e+inPBFleLa0OU4NZxRuLhYu3eMozQZYgszpMDWYVbywWLt7iKc8EWYLM6jA1mFW8sVi4eIunPBNkCTKrw9RgVvHGYuHiLZ7yTJAlyKwOU4NZxRuLhYu3eMozQZYgszpMDWYVbywWLt7iKc8EWYLM6jA1mFW8sVi4eIunPBNkCTKrw9RgVvHGYuHiLZ7yTJAlyKwOU4NZxRuLhYu3eMozQZYgszpMDWYVbywWLt7iKc8EWYLM6jA1mFW8sVi4eIunPBNkCTKrw9RgVvHGYuHiLZ7yTJAlyKwOU4NZxRuLhYu3eMozQZYgszpMDWYVbywWLt7iKc8EWYLM6jA1mFW8sVi4eIunPBNkCTKrw9RgVvHGYuHiLZ7yTJAlyKwOU4NZxRuLhYu3eMozQZYgszpMDWYVbywWLt7iKc8EWYLM6jA1mFW8sVi4eIunPBNkCTKrw9RgVvHGYuHiLZ7yTJAlyKwOU4NZxRuLhYu3eMrTHmQvLy+729vb3c3Nze75+flD7x8fH/f77+/vd29vbx+ObbmRv0XJR18N5lPurRQu3vopzwTZ4E9kT09P+/DHjQEf3AxGXtRgW/QVN0ncLEfiNQKXQ7V4fX3d3d3dvXsNvht5UZ4JsoGDDE+3Dw8P70+vNNvIYaYGW3syMMTwNgBOo7DamsuhOtBXDC++Vekb1SGNtY8pz82DTJ84cFcAWCw0Je6s379//3DHcBq006sleFVGaxvo2PXUYMfaX/J4gmwZXXhKf+4BO923TG2dVuqziwYZX4d0TUBMfj1eJyqA6nFuu+4Y3YKM/NaxzOeuogb73Nne1gmy4zz5sABWdcHcqvOwHhvhu/ps0yADkD///POdSw02hhSDjFD5GIwwU/jvQp/80iXIaDq+AnxymKs0V4OtctGZiyTIZsCU3XOewvzDv7TDnBxxUZ9dNMgYRgTBUKpPFDW8+KSFNc/lOTW0pvbxGqesuwTZ1CvAKeO95DlqsEte65g2fFJ9c6z9JY+PxKWOkw8GenNMkH3ij18AVg2v+j1BVu2228FofCr9eGSsrZEmbILsuDf4RKaBj/k3st/UZ5s+kQEewosQeXfIE9lHA3YJMfRaDfZxJOtuJciW8Z560ge7+ua0TGm9VuqzTYMMAOtTWP2eJ7J/TAFDjXxnVOuqwfT4mtsJsmW0+fMO5iMWbnMOLlNZt5X6bNMg42MtA+yXX37Z4YNtQoUZsY01l6l9PHbKetTfyOaCvtOPsKfUw3VOgmw5SYYX5+LIIYZRXTzIlqMbp+WoQTYOoeU9UYMtP/Pnbhku3voqT/sTmbe766glyHyc1WA+5d5K4eKtn/JMkA38nyh5S7+OmhpsnauOf5Vw8dZIeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZTnhyDD/7v+Wj8Ak08YxAN9PFCj8UOQ1QPX9D1/+Yiv2nqn9Cn3VgoXb/2UZ4Isr5ZWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlebEge3p62t3c3Ow/9/f3u7e3t/eRvLy87G5vb/fHsMb2kuX19XV3d3e3P+/5+XnJKYva5G9RWoRpUSM12KKTrqBRuHiLrDwvFmSPj4/vQaZhVUNOjx0abg1AaLiWkYOsssKNAVxHXtRgW/QVN03cPEfiNQKXQ7WoDwng5pxfh6576jHluUqQVTA02ZcvX96fypxPV6eAGTXIENwPDw/vT7M028hhpgY7pR7nnEN/wVPgNAqrrbkcYkpfMbz4wLD1vDzUZ+V58SD79u3bPrBoKELCBOVdk8BoQgQfPzwPgyJwHOM5hwa79NioQTbVf5gNr9dgMeKiBtuyjwmyZfThKf35B+x03zK1dVqpzy4SZDWQvn//vp94nHwIIATRb7/99p8gA1AGWF0zzBJku/0jfyeDrWPr6askyKa51L2cq5xjPIZ5yjnLfSOtVw8yBhZ/CwMwfP/x48d7kPGRFlDrkwaDjUCvPchoOvIayVjsixqM+7dYJ8iOU5/zFIKMc/a4yvot1GcXfyIDEAYSXjPxNIEPQglrPHnVicm29YksQfaPUcBm5Kcx9FINtr7F/71iguxfFnPf+HBQ5yDaJsjKb1lMdEBBMPEHfkDjnaAGGYxXA4zfE2T/vFKSw5wpR9ifIJuuwkhcag85DzH36oI5O7LflOdFnsiY8gwybiOYuI8AsQ8QaxtAxMIAJNCpNhX+qd9H/7EfwU8Gp45xrfPUYGtdd+o6eSKbovLffVNP+mA38tO/+uwiQcZ/MzkVWnVCAhaDrAYbn8S45jnXGGRgxPH/14Lj7VGDbdnDBNky+pyvfL3kNh8olqms20p9tkqQYYiAxNDikGuQYR8BMsDwRzQQhgzEawsyMiMPrsmDHEdaq8G27FuCbDl9nXsjhxhGpT67SJAtxzdGy9FfLcegtKwXarBlZ/38rcLFW2PlmSDLfzRudZgazCreWCxcvMVTngmyBJnVYWowq3hjsXDxFk95JsgSZFaHqcGs4o3FwsVbPOWZIEuQWR2mBrOKNxYLF2/xlGeCLEFmdZgazCreWCxcvMVTngmyBJnVYWowq3hjsXDxFk95JsgSZFaHqcGs4o3FwsVbPOWZIEuQWR2mBrOKNxYLF2/xlGeCLEFmdZgazCreWCxcvMVTngmyBJnVYWowq3hjsXDxFk95JsgSZFaHqcGs4o3FwsVbPOWZIEuQWR2mBrOKNxYLF2/xlGeCLEFmdZgazCreWCxcvMVTngmyBJnVYWowq3hjsXDxFk95JsgSZFaHqcGs4o3FwsVbPOWZIEuQWR2mBrOKNxYLF2/xlGeCLEFmdZgazCreWCxcvMVTngmyBJnVYWowq3hjsXDxFk95JsgSZFaHqcGs4o3FwsVbPOWZIEuQWR2mBrOKNxYLF2/xlOeHIMNfwnGtH4DJJwzigT4eqNH4IcjqgWv6nr9FyVdtvVP6lHsrhYu3fsozQZZXS6vD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvI8O8ien593Nzc3s5+7u7vd6+vrwVG8vLzsbm9v9x98X3vJ36LkI64G8yn3VgoXb/2UZ4KswRPZ4+Pj+43i/v5+9/b25nWFUU0NZpReJAU2YFRvrrjZbr1szeXY+Cs3+G30RXmeHWR1wHw6W/IUVs/LE1ml8fE7TMXwotlGNpoa7ONoLr/19PS0w4cLPbl1mG3NhTym1vQVGMFbI/uL/VeeFw8yGgl3SBqM4LAPk/T333+ffLVkwPHuWgFTF+f/+PFjf349zgEvWY/6aonxf/nyZVdftzFuvIbXfUvGuFYbNdha1527Dr12qjfmdD+7fzQuc/0Hp61ZzfWt7leeFw8yGomhhe0aUJiY3K4TlEHFEOOakHkO92PNY3XAS76PGmQIfn26xe+N2Ac+Iy5qsK37SP/xJrpVf0bjMschQbbb7ScXAkUnH0OJ+3WbocQgo/mgxQmrbbh9ToCxmCMHGV8r2VcG2dYTk/3R9WgTFj7Rp1rt8xrbo3GZG3OC7ECQcfIxmAAL3zkZGUoMMm6jzdQH4VbbMOzminNs/6hBBk4JsmPVmz/OGyJ9Nt/y8kcSZF7GyvPir5bsPsPr4eFhPzkZWjjOUOI+bk+FGPbVIOM5vM4p61GDDBOQT7EcF28K54Y39dxrNZhbf6keQwy+G2EZhcsxFuA1CrNDfVWeqwWZhlN90uAxhhInK0Jr7m6q5xwa9LFjowYZxqivRQgwcjo2ri2Oq8G26MNoIQYGI3BZUosE2YFXSwCkufiUVQNqKpRwnG3rmneLqXOWFGqqzahBRmYMfW6TwdRYtt639YTlTXA0RltzWeqLBNmRIANIhpO+Ls2FEp4+aojhOyf13DlLC1bbjRpk6CPDixxGm6CVI75vOWGVFZlV32h/19rekstnxpggO0KLd0qYqj6NHTltlcMjB9kqAIwX6TJhjUNeJBUuizAtbqQ8rb+RzfUCKc+7oz6NzZ2z5v4EmY+2Gsyn3FspXLz1U56rBBlfEUcMMeBNkPlMpgbzKfdWChdv/ZTnKkHmHYJfLUHmY6oG8yn3VgoXb/2UZ4IsT2RWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzlmSBLkFkdpgazijcWCxdv8ZRngixBZnWYGswq3lgsXLzFU54JsgSZ1WFqMKt4Y7Fw8RZPeSbIEmRWh6nBrOKNxcLFWzzl+SHI8H9KvdYPwOQTBvFAHw/UaPwQZPXANX3P/+raV229U/qUeyuFi7d+yjNBlldLq8PUYFbxxmLh4i2e8kyQJcisDlODWcUbi4WLt3jKM0GWILM6TA1mFW8sFi7e4inPBFmCzOowNZhVvLFYuHiLpzwTZAkyq8PUYFbxxmLh4i2e8kyQJcisDlODWcUbi4WLt3jKM0GWILM6TA1mFW8sFi7e4inPBFmCzOowNZhVvLFYuHiLpzwTZEi+sLIAAAVbSURBVAkyq8PUYFbxxmLh4i2e8kyQJcisDlODWcUbi4WLt3jKM0GWILM6TA1mFW8sFi7e4inPBFmCzOowNZhVvLFYuHiLpzwTZAkyq8PUYFbxxmLh4i2e8kyQJcisDlODWcUbi4WLt3jKM0GWILM6TA1mFW8sFi7e4inPBFmCzOowNZhVvLFYuHiLpzwTZAkyq8PUYFbxxmLh4i2e8kyQJcisDlODWcUbi4WLt3jKM0GWILM6TA1mFW8sFi7e4inPBFmCzOowNZhVvLFYuHiLpzwTZAkyq8PUYFbxxmLh4i2e8jw7yB4fH3c3Nzf7z9PT03tvX19fd3d3d/v9z8/P7/vP/fLy8rK7vb3df/DdseRvUXJQ/EdDDeZT7q0ULt76KU9rkCG4EGBYEmS+wtWbxf39/e7t7c0nblZSg5nlj8qBDRjx5oq180Z6tAMzDbbmMtOt992VG/w2+qI8bUH29evXvXkIIUHmsQJ4MrxoNjL2XMGrogbzqh9Xw1tBfTNAiI0QZltzOUSOvgIreGtkf3EcytMWZA8PD/sJh9c+vPIRjpqIr4a8Y7I9O1jPY5sKlufjvO/fv+9fMdFOdai3ZD3qqyXG+uXLlz1PjgNmO2es1LnUWg12qess1aWfqoeWnutsNxqXubFdfZABAO6ECBV8p4GwzUd73h0ZUHXNNtSox/CdRmSQ6XFs88llrkhz+0cNMrCor+voP590yWtuTFvtH23C0of1KW0LNqNxmWOQIHt83D854GkBnx8/frz/VoFJR0PVwOGkrPvQDvu5MNg4oWuQ0Zxsc+qTyshBpuFMZhw7OY2yHm3CTj3VbsFqNC5zDBJk//8DIUAgmPiqie8IsqkAAkyGEIOq7sO5/PA4dWpoTe2bK9TU/lGDDCwTZFMVW7aPN88RQj9BtqxmS1spT9tvZJh0WGqo4PedzwYZg5ABxvU1BhkmIMfNAvOJLK+WJDK9ZojRl9Ot1turE2+9K3/uSuA1CrNDPVee9iDDxTWMlr5a/vXXX//5s2c4F2HGCV2DEt+xTO07BEGPjfpEhnHlx36t1vHt0UIMPdaJd3wU27RIkJU/e8KnBj5N8emBocT9XPM1kQbk/rq+xiAjD75ecnvkO+bWE5beG43R1lyWxmKCrAQZoPG3L4QRgwz7+fTEkGJAEbQex29tCDqGHY9zu2rWfdRbsh71iQx9Z3iR12gTVPluOWGVFZlhzZuB9net7S25fGaMVxtkn4E0atuRg2xUZnP96jJh5/p/qf3h4iWrPM/+jczbvW3UEmQ+7mown3JvpXDx1k95Jsjyf7+wOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvJMkCXIrA5Tg1nFG4uFi7d4yjNBliCzOkwNZhVvLBYu3uIpzwRZgszqMDWYVbyxWLh4i6c8E2QJMqvD1GBW8cZi4eItnvL8EGT4f9df6wdg8gmDeKCPB2o0vgdZ3ZnvIRACIdCJQIKsU7XS1xAIgUkCCbJJLNkZAiHQiUCCrFO10tcQCIFJAv8Hc4UuQ5Ig06UAAAAASUVORK5CYII=[/img][br]Which activity won using the instant runoff method? Show your calculations and use expressions or equations.
Which activity would have won if there was a runoff election?
Which activity would have won if there was just a vote for their top choice, with a majority or plurality winning?
Explain why this happened.

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