Lesson 4
How Do We Choose?
Let's vote and choose a winner!
4.1: Which Was “Yessier”?
Two sixth-grade classes, A and B, voted on whether to give the answers to their math problems in poetry. The “yes” choice was more popular in both classes.
yes | no | |
---|---|---|
class A | 24 | 16 |
class B | 18 | 9 |
Was one class more in favor of math poetry, or were they equally in favor? Find three or more ways to answer the question.
4.2: Which Class Voted Purpler?
The school will be painted over the summer. Students get to vote on whether to change the color to purple (a “yes” vote), or keep it a beige color (a “no” vote).
The principal of the school decided to analyze voting results by class. The table shows some results.
In both classes, a majority voted for changing the paint color to purple. Which class was more in favor of changing?
yes | no | |
---|---|---|
class A | 26 | 14 |
class B | 31 | 19 |
4.3: Supermajorities
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Another school is also voting on whether to change their school’s color to purple. Their rules require a \(\frac23\) supermajority to change the colors. A total of 240 people voted, and 153 voted to change to purple. Were there enough votes to make the change?
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This school also is thinking of changing their mascot to an armadillo. To change mascots, a 55% supermajority is needed. How many of the 240 students need to vote “yes” for the mascot to change?
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At this school, which requires more votes to pass: a change of mascot or a change of color?
4.4: Best Restaurant
A town’s newspaper held a contest to decide the best restaurant in town. Only people who subscribe to the newspaper can vote. 25% of the people in town subscribe to the newspaper. 20% of the subscribers voted. 80% of the people who voted liked Darnell’s BBQ Pit best.
Darnell put a big sign in his restaurant’s window that said, “80% say Darnell’s is the best!”
Do you think Darnell’s sign is making an accurate statement? Support your answer with:
- Some calculations
- An explanation in words
- A diagram that accurately represents the people in town, the newspaper subscribers, the voters, and the people who liked Darnell’s best