Hall Passes

I will be collecting your hall passes for the semester before the final exam starts.  Make sure you have yours in class to turn in!  No passes will be issued to get it, no late passes will be accepted.  You will also need to turn in your book before the final exam starts.

Discrete Semester 2 Review

I have compiled a review for you to work on, which can be found here.

The final exam on Tuesday will consist of ~30 questions.

Carnivale Absence Reminder

If you were absent on the day of the Carnivale, you will need to submit a scenario analysis to me.

Scenario Analysis (for those that are absent on game day) – Type up a description of 3 scenarios (one where you lose, one where you win, and one where you break even) and analyze those different scenarios.

You may submit your analysis to me electronically via a separate google document.  Scenario Analysis documents are due on Monday, 7:59 AM.

Credit Card Information

For your homework tonight, please fill out your credit card information here!

Also, for your ease of access, you can listen to the interview here!

Formal Game Write-Up & Expected Value Calculations

Today you will need to submit your formal game write-up.  This should include a description of your game, detailed instructions about how to play, and expected value calculations.  It is generally useful to make a tree diagram to make sure that you have assigned a payoff to each outcome and to determine the probability of each outcome.  Please submit one document per group via google drive to me.  Make sure that you and your partner both have access to the write-up in case any changes need to be made.

Troy's Toys (An Introduction to Consumer Math)

Today we will be calculating sales prices and sales tax.  You will be performing a number of different calculations using the prices listed here.  You can find the worksheet here.

All work needs to be done on a separate sheet of paper and submitted by the end of the period.

Homework can be found here.  Your assignment is to complete numbers 1-5.

Counting Methods and Probability Project

Counting Methods and Probability Project

Ø  This project can be done individually or with a partner.

Ø  For this topic’s project, you will be designing your own game that would typically be played at a carnival or amusement park.  IT CANNOT BE A GAME THAT ALREADY EXISTS!  You must be able to explain the probability of your game, so don’t go crazy and make it too complicated J

Ø  The project should include the following:

Game: Include all game boards, pieces, cards, balls, etc.  The game must involve probability.  Rolling a die and/or drawing a card from a deck cannot be the sole example of probability in your game.  It cannot be a skill game (if practice would improve your outcome, it is a skill game, like darts).

Write-up (all typed):

Overview – Briefly explain the type of game, the cost to play, and the prizes/awards.

Instructions – Clearly explain your game.  Instructions must be easy to follow so that anyone can quickly read them and begin playing your game.

Probability Analysis – Use expected value to show if your game is fair.  Provide the value of the prizes of the game.  If your game is not fair, explain the profit of the “house.”

Presentation:

Running of the game (for those that are present on game day) – Invite students to come play your game, manage your game table area, and answer any questions the players may have.

Scenario Analysis (for those that are absent on game day) – Type up a description of 3 scenarios (one where you lose, one where you win, and one where you break even) and analyze those different scenarios.

There are a few checkpoints for this project.

• Wednesday, May 24th - You must have decided on your game by the end of class.  You must clear your game with me.  Send me an email detailing your game (include instructions).  Be prepared to make adjustments to your game.
• Friday, May 26th - You must have completed your probability calculations and submitted them to me by the end of class.
• Friday, June 2nd - Carnivale Day!  You must have (and run) a project, complete with display, materials, and prizes.  During this day, we will play your game and you will get a chance to play the games your classmates designed!

Counting Methods & Probability Review Solutions

Here are the solutions to the review!

Keeping Score by Hand

Today, we will be taking notes on keeping score at a baseball game by hand.  Take a look at the scorecards we will be using!  I will give you a physical copy on Friday when we get to the game.  Open up this tutorial.  You will need to take notes on how to fill out a scorecard so that you will have a quick reference guide while you are at the game.  There is a lot of information here, so don't write it down verbatim!  You should gist the main ideas and make sure you have an explanation of all symbols you will be using.  Part of your grade for the sabermetrics project will involve how accurately your scorecard is filled out.

Since I am not there today, we will be doing our quiz corrections tomorrow in class.  We will be attending the game on Friday so our test over Counting Methods & Probability will be on Monday.  The sabermetrics project will be distributed on Friday with the scorecard, but it won't be due until Tuesday at the end of the period.

AP Digest (5/9 & 5/10)

First - we have our quiz tomorrow (5/11).  It covers all of the probability we have been working on up to and including conditional probability.  It will not contain Permutations or Combinations.  The Probability Practice half-sheet is an excellent study guide for the quiz.  Answers to the half-sheet can be found here.

5/9 - Conditional Probability (Day 1)

• Notes
• Worksheet (do odds)

5/10 - Conditional Probability (Day 2)

• Notes
• Complete evens on 5/9 worksheet

To Test or Not to Test

As promised, here is the prompt for your persuasive argument as to why the school should not institute the planned drug testing policy.  Be sure to support your argument with a clear statistical analysis.

A survey was conducted by the local newspaper in your community. The survey sampled

students in your school about the use of drugs. It stated that through the anonymous

survey that 12% of the students indicated that they experimented with or currently use

drugs. The survey has alarmed the community. Parents and community members are

very concerned. The school board has been discussing the issue of drugs. They want to

take strong action.

You have just learned that the school board is considering requiring a drug test for all

the 1,200 students who attend your school. A test would be given twice a year. If a

student failed the drug test, then the student would be expelled from school. 

Most of the students are upset and nervous about such a test. They are saying, “How do

we know the tests are accurate?” “What if you are taking medication for some ailment,

will that indicate that you are taking illegal drugs?” “What happens if you get a false

positive reading?” “How long after you take a drug will the test show positive?” “What

if you stopped taking a prescribed drug for more than three months, will you still test

positive?”

You want to be a friend to your school and classmates. You know that this drug test will

cause a crisis at your school. The school board feels a lot of pressure to take action. You

want to stop the school board from voting for this drug test. You know it will take a

convincing argument to change their minds. If you are not careful in your presentation, it

may look like you are defending drug use. That is the last thing that you need to have

happen. You must find a way to defend the innocent and show that some students may

get hurt by the test.

You decide to research the test. You call the drug testing company that the school board

is considering hiring and ask for documentation on their tests. In their literature, it states

that the tests are accurate 96% of the times they are administered.

You start to consider the information you have available. If the newspaper survey was

accurate that 12% take drugs, how many of the students at your school supposedly take

drugs? How many students are drug-free? If all the students are required to take the drug

test, how many of the students’ tests will be accurate? How many of the tests will be

inaccurate? How many students who do not take drugs will have a test that wrongly

shows that they do take drugs? How many of the students who use drugs (either

experimentally or regularly) will have an accurate test?

You are getting ready to present your argument to the board. Write an open letter to the

board using mathematics to argue against general drug testing for all students.

Notes (5/4)

You can access your notes here.  Once you have copied the notes into your notebook, please complete the Probability Practice worksheet.

AP Digest (5/1 & 5/2)

5/1 - Fundamentals of Probability (Day 1)

• Notes
• Familiarize yourself with a standard deck of cards.  Quick quiz on Wednesday.

5/2 - Fundamentals of Probability (Day 2)

• Notes
• Probability Practice #1-4

AP Testing Absences

Good evening!  Please take a moment to fill out this form to let me know which days you will be gone for AP testing.  This will help me plan for the coming weeks.

Shirts for the Cubs Field Trip

Interested in getting a commemorative shirt for our Cubs Field Trip?  Well you're in luck!  You can place an order here:  http://www.customink.com/g/mad0-00b0-4093

Here's what they will look like!

Orders close on Tuesday, May 2nd.  I will announce a reminder in class on Monday as well.  Payment must be made online.  I am unable to accept cash.  If you are unable to make an online payment, please let me know and we will figure something out.

Number Theory and Cryptography Project

This project can be done individually or with a partner (no more than 2 people per group).  If you are doing this with a partner, you need to inform me today (4/27).  Please send me an email letting me know who your partner is and which of the two topics you will be doing.

By the end of the day, you should have all of your content prepared.  Our test will be Tuesday and we will finish up the project on Wednesday.

Option 1

Create a positional number system with your own symbols and characters.  On a piece of posterboard, explain how your number system works by providing an example in which you convert the number to base ten and another example in which you convert a base-ten number to your system. The project must include a “key” of all your symbols/characters, an example converting to base ten, and an example converting from base ten.  Make sure your number system is able to represent any base ten number up to 1000.

Option 2

Create a themed, ciphered text.  On a piece of posterboard, cipher the text (minimum 75 characters) using both the Caesar and Vigenère method (same text, ciphered twice).  Decorate the posterboard based on the theme of your text.  For example, if your text is a battle message, you might decorate the poster with camouflage and other war-themed images.  The project must include both versions of the cipher, the keyword for the Vigenère Cipher, and images to compliment the theme.  Write the plain text on the back of the poster.

Do your best and show off your talent J

Due: 4/27/16 at the beginning of class!