SUPER BOWL MATHName:

IMPORTANT Q3 ASSIGNMENT: Use a photo found online, a photo you take or the given topics to collect information about Sunday’s Super Bowl. Replace the second text box (my examples) on each slide with your information.

Due Date: Thursday, February 5, 11:59 pmOn time assignments are eligible for full credit.

You may hand your PowerPoint in by submitting it on Google Docs and sharing it with me at mszumpanoccs@gmail.

The Super Bowl lends itself very nicely to this assignment. I am not tied to the theme. If you have interest in other areas and you can get other examples to work you may use them. You can use a variety of ideas or themes within your slides. Ex. College admissions process, track meet, hockey season

THE KEY TO THIS ASSIGNMENT IS THINKING AND MAKING THE INFORMATION YOUR OWN! IT WILL HELP YOU LEARN AND STUDY!

In order for a slide to count the content needs to be school appropriate.

Individual students need their own work. Multiple copies of the same presentation with different names will not be accepted.

PROBABILITY = part total

What is the probability of either the Sea Hawks or the Patriots winning the game? Include your source.

What factors are the prediction(s) based on? What is the predicted final score of the game?

PROBABILITY = part total

Was the prediction accurate?

Name two factors that impacted the win or loss?

COUNTING PRINCIPLE: used when we need to make choices in 2 or more situations and we want the total # of different results. MULTIPLY!Ex. 1. I have three different Patriots jerseys and 4 hats. If I wear one of each, how many possible outfits do I have to choose from?

2. Seahawks coach, Pete Carroll, needs a cornerback and a defensive end to attend a meeting. There are 4 cornerbacks and 6 defensive ends on the team. How many possible ways can that meeting be comprised?

PERMUTATION: an arrangement of items or people in a specific order.

Find or take a photo of an arrangement in a specific order. Replace this text with photo.Exs. Food on the table at a Super Bowl partyThe sequence of commercials in time slotsPlayers on the fieldAnnouncers at a deskPeople in the crowd in their seats.

PERMUTATION: number of arrangements of items or people in a specific order.

NOTES: No photo necessaryKEY WORDS:

arrangement line

placement prizes

finishes positions

COMBINATION: number of groupings of items or people where order is not important.

Find a real life example where groups are put together and order does not matter.

Ex. Players in a huddle (Find ANOTHER example)Ingredients in taco dip for a SB partyGroup of friends at your house for the game

COMBINATION: number of groupings of items or people where order is not important.

NOTES: No photo necessaryKEY WORDS:

select(ions) group(ings) team

committee(s)

PROBABILITY of an AND statementMULTIPLY!!!

Write two AND statements, where both statements are facts. Exs.1. What is the probability that the game is being played in

Arizona, and last year’s game was played in New York. 2. What is the probability that the puppy and the manatee both choose the Patriots to win on Sunday? http://www.today.com/pets/patriots-or-seahawks-pandas-pick-win-super-bowl-2D80463619

PROBABILITY of an OR statement: ADD

Write two OR statements, where both statements are facts. 1. I have tickets to the game. What is the

probability that I am sitting in either Section 21 or Section 209?

2. If I can go to my mom’s, a friend’s or stay home to watch the game, what is the probability that I stay home or go to a friend’s?

PROBABILITY of AT LEAST statement

Exs.1. NBC has sold at least 70 thirty second

commercials.

2. Tickets two days before the game are selling for at least $9,000.

PROBABILITY of AT MOST statement

Write a statement with the words “at most”.Exs. 1. What is the probability of paying at most

$15 at the concession stand for nachos at the game?

2. What is the probability that of the five people I invited to watch the game that at most three will come?

LETTER ARRANGEMENTS

Choose any appropriate word related to your theme to type in this box. Pick a word that has letters that repeat.

Total Letters!Repetitions!

Parabola: Quadratic y = ax2 + bx + cROOTS OF A PARABOLA y = 0

One way to think of a throw down the field is to look at it as a quadratic function. Every time the ball leaves the hand of a player and then is caught by another we can think of the throw and the catches as the roots of a parabola. Find a photo.

Parabola: Quadratic y = ax2 + bx + cTurning Point of a Parabola

The object or ball on a parabolic curve hits the maximum or minimum height before changing direction. The imaginary vertical line that intersects the turning point is called the axis of symmetry.

SYSTEM OF EQUATIONS: the intersection of two lines, parabolas, circles or trig graphs or any combination thereof.

Think about real life examples. 1. the path of two opponents in a tackle.2. the intersection of the ball3. a caught pass (the thrown ball has a

quadratic path, the path of the runner is linear down the field.

4. a stick pretzel on a plate intersecting the plate in 2 places

STATISTICS: the study and interpretation of numerical data

Include a set of data that includes at least 10 numbers. Also, include a title.

UNIVARIATE DATA: one variable, a single list of data

SURVEY: an efficient way of collecting a lot of information quickly from a lot of people, often in the form of quick questions.

Come up with a survey question that you ask at least ten people. You may use social media. Use this slide to create a table with peoples’ responses and the frequency ( the number of people who gave each response). Include your survey question.Exs. 1. Favorite NFL team2. Who do you pick to win?3. Favorite Super Bowl ad

QUANTITATIVE STATISTICS: questions that can be answered with numbers, more objective responses

Write a question that can be answered quantitatively.

QUALITATIVE STATISTICS: questions that can be answered with words describing qualities, more subjective responses.

Write a question that can be answered qualitatively or by a description.Ex. How would you describe a football player? strong, big, tough

MEASURES OF CENTRAL TENDENCY: the tendency of a number to fall in the center or middle.

Use a different list of univariate data. Find the mean, median and the mode. Some sets of data have two modes, in which case it is called bi—modal.

RANGE: a measure of dispersion that indicates the spread of numbers from the mean.Largest – Smallest number in a set of data.

Find the range of the above set of data.

BIVARIATE DATA: the analysis of a set of data that involves two variables, often looking for a cause and effect relationship between the two variables.x value = independent variabley value = dependent variable

Find a bivariate set of data that has at least ten numbers.

POSITIVE CORRELATION: a bi-variate set of data both increase or both decrease yielding a positive slope when graphed.

What are two causal variables (ones that create cause and effect) both increase or both decrease together? Ex. 1. the year of the Super Bowl and the cost of a

ticket2. The days until the game and the number of

remaining tickets

NEGATIVE CORRELATION: a bi-variate set of data with one variable that increases as the other decreases yielding a negative slope when graphed.

What are two causal variables (ones that create cause and effect) where one variable increases and the other decreases? Ex. The days until the game and the cost of the tickets

ZERO CORRELATION: a bi-variate set of data that is not cause and effect. The variables have nothing to do with one another.

What are two variables that have no cause and effect relationship?Ex. the year of the Super Bowl and how many yards the longest carry was during the game.

EXPONENTIAL GROWTH: when a set of data grows very quickly.Find a set of data that looks at rapid increase of costs of the games, the ads, half time shows, payment to winning and losing players.Ex.Officials are worried about another measles outbreak similar to the recent one at Disney. They are asking people who have been exposed to not attend the game on Sunday.