Transcript SUPER BOWL MATHName:

SUPER BOWL MATH
Name:
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 pm
On 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 party
The sequence of commercials in time slots
Players on the field
Announcers at a desk
People in the crowd in their seats.
PERMUTATION: number of arrangements of
items or people in a specific order.
NOTES: No photo necessary
KEY 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 party
Group of friends at your house for the game
COMBINATION: number of groupings of
items or people where order is not
important.
NOTES: No photo necessary
KEY WORDS:
select(ions)
group(ings)
team
committee(s)
PROBABILITY of an AND statement
MULTIPLY!!!
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-pandaspick-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
Total Letters!
Repetitions!
Choose any appropriate word related to your
theme to type in this box. Pick a word that
has letters that repeat.
Parabola: Quadratic y = ax2 + bx + c
ROOTS 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 + c
Turning 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 ball
3. 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
UNIVARIATE DATA:
one variable, a single list of data
Include a set of data that includes at least 10
numbers. Also, include a title.
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 team
2. 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 variable
y 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 ticket
2. 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.