Quadratic Functions

Writing Equivalent Expressions

Party like it's 1999!!!!!

We want to throw a school-wide party for the end of the year. Consider the following:



· The number of students purchasing tickets and attending the party



· The price charged for tickets



· Expenses such as food and a DJ


Group 1- Survey at least two-thirds of each student body class on what they would pay for such a party.

Group 2: Survey at least two-thirds of the total student body on what types of food they would eat at a party. Research local catering companies in order to estimate food cost per person based on two-thirds of the students in the school attending.

Group 3: Survey at least two-thirds of the total student body on what types of music they would like to listen to at the party. Research local DJs that fit your findings based on music and prices.

Coming Together!

After completing all research and collecting all data, share your results with the class.


Based on the whole class research, what is the best price of a single ticket that will create a break-even point?


What ticket price will create maximum income if we wanted to make a profit on the party?


What would our profit be using that ticket price?



Extension

What are some factors other than the ones listed above that could change ticket costs?


Why do you think this problem based our surveys on two-thirds of our "population"?


How significant of a change would occur if we had surveyed three-fourths of the "population" rather than two-thirds?


Math Practices

Model with mathematics.

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Look for and make use of structure.

Construct viable arguments and critique the reasoning of others.

Attend to precision

Use appropriate tools strategically

Look for and express regularity in repeated reasoning




Created for: Common Core Math 1