It's Probably Probability by Kelcie Hughes

It's Probably Probability

hughesk470 — 2016-12-05 04:25:42 UTC

By: Kelcie Hughes

Mathematical Standards for Practice

hughesk470 — 2016-12-05 04:28:25 UTC

6.MP.2. Reason abstractly and quantitatively
6.MP.4 Model with mathematics
6.MP.5 Use appropriate tools strategically
6.MP.6 Attend to precision
6.MP.7 Look for and make use of structure

What to know

hughesk470 — 2016-12-05 04:32:57 UTC

How to display data on number lines, in box plots and on histograms

Everyday Use

hughesk470 — 2016-12-06 13:09:00 UTC

We use probability in our everyday activities and we don't even know it like:

being late for work
saving money
getting a high grade on a test

and many more.

Objective

hughesk470 — 2016-12-06 13:17:40 UTC

You will be able to plot data on a number line, use information to create histograms and box plots, be able to identify the probability of events happening.

What is Probability?

hughesk470 — 2016-12-06 13:26:43 UTC

The probability is the likelihood of something occurring. (e.x. the probability of getting an A in a class)

Vocabulary

hughesk470 — 2016-12-06 13:28:42 UTC

Probability- the likelihood of something occurring
Box Plots- a way to display data using a minimum, first quartile, median, third quartile, and maximum
Histograms- a diagram that represents the frequency of variables

Where did probability come from

hughesk470 — 2016-12-07 00:15:50 UTC

A gambler's dispute in 1654 led to the creation of a mathematical theory of probability by two famous French mathematicians, Blaise Pascal and Pierre de Fermat. Antoine Gombaud, Chevalier de Méré, a French nobleman with an interest in gaming and gambling questions, called Pascal's attention to an apparent contradiction concerning a popular dice game. The game consisted in throwing a pair of dice 24 times; the problem was to decide whether or not to bet even money on the occurrence of at least one "double six" during the 24 throws. A seemingly well-established gambling rule led de Méré to believe that betting on a double six in 24 throws would be profitable, but his own calculations indicated just the opposite.

This problem and others posed by de Méré led to an exchange of letters between Pascal and Fermat in which the fundamental principles of probability theory were formulated for the first time. Although a few special problems on games of chance had been solved by some Italian mathematicians in the 15th and 16th centuries, no general theory was developed before this famous correspondence.

Review

hughesk470 — 2016-12-07 00:23:14 UTC

Each of you should be able to define what probability is:
The likelihood of something occurring.
So basically you are determining what the chance is of an event happening.

Today's Activity

hughesk470 — 2016-12-07 00:35:08 UTC

For today we are going to split up into groups of 3 and have 3 different stations that you will rotate around to.

Materials you will need...

hughesk470 — 2016-12-07 00:45:41 UTC

-pencils
-paper
-pennies

Station 1

hughesk470 — 2016-12-07 00:49:38 UTC

There are many different ways to solve for different outcomes. One way is to use spinners. Here you will answer the questions given on the worksheet.

Station 2

hughesk470 — 2016-12-07 00:51:59 UTC

Histograms are another way to read probability as well. In your groups I would like you to each collect data from one another about what month they are born in. After you have collected the data you will transfer it into a histogram. After you have created the histogram I want you to decide what the probability is of all of you having birth months with 30 days in it.

Station 3

hughesk470 — 2016-12-07 01:04:16 UTC

It is important that you are able to read a word problem and be able to determine the probability.

1. What is the probability of a six-sided die landing on an even number?
2. If 3 blue marbles, 6 red marbles, and 8 yellow marbles are put into a bag, what is the probability that a yellow or blue marble is drawn?
3. What is the probability of drawing a face card out of a standard 52-card deck?
4. If you flip a penny 5 times what is the probability it will land on heads? on tails?

Future Impact

hughesk470 — 2016-12-07 01:25:01 UTC

Probability is all around us, like when you are determining how many questions you can miss to pass a test. Or how long it will take you to go two different ways to work. Probability is everywhere.

References

hughesk470 — 2016-12-07 01:27:08 UTC

"How Is Probability Used in Everyday Life?" Reference. N.p., n.d. Web. 06 Dec. 2016. .

Apostol, Tom M. "A Short History of Probability." A Short History of Probability. N.p., n.d. Web. 06 Dec. 2016. .

"Arizona's College and Career Ready Standards." Arizona Department of Education, 2013. Web. 6 Dec. 2016. .