Area of Regular Polygons & Composite Figures Solutions

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Please take a moment to check your work from last week.  I will be available tomorrow after school to answer any questions.

Also, check out M. C. Escher, an artist who has mastered the optical illusions that drawing 3-D objects on a 2-D page offers.  Visit his official site and check out some of his mathematically inspired art!

Credit Card Information

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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!

Easy Access for Area Practice

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Here are the links to the two assignments from last week:

Formal Game Write-Up & Expected Value Calculations

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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.

SAT Practice

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Today we will be working on SAT style questions based around triangles and triangle properties.  You will need to complete the triangle portion of this packet in class.  At the beginning of each section is a review of triangle concepts which you can scan through quickly before starting the practice problems.  You will complete the practice problems on a separate sheet of paper.  You must show work to receive full credit for the problems.  You must turn in your work at the end of the period.

If you finish the two triangle sections, try your hand at polygons!

Troy's Toys (An Introduction to Consumer Math)

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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.

Area of Composite Figures

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Today, you will be putting your knowledge of different area formulas to work to find the area of composite figures.  Click here for your prompt.

Counting Methods and Probability Project

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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!

Area of Regular Polygons

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Good morning!

All of the work that we have been doing has been to find the AREA of a regular polygon!


Thanks to our knowledge of special right triangles and trigonometry, we can always find the apothem and side length of any regular polygon.  Complete page 7 of the packet, applying the above formula to find the area and submit the entire packet before the end of the period.  Then click here for your practice/homework.

Counting Methods & Probability Review Solutions

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Here are the solutions to the review!

Keeping Score by Hand

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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.

Similarity & Trig Exam Review Solutions

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You can find solutions to the review and book work here!

You will most definitely need a calculator for tomorrow's test, so please come to class prepared, as I will not have calculators to lend out.

AP Digest (5/9 & 5/10)

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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)

5/10 - Conditional Probability (Day 2)
  • Notes
  • Complete evens on 5/9 worksheet

To Test or Not to Test

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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)

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

Measuring Angles in Right Triangles

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You can access your prompt for the day here!

To see what angle you have been assigned, please visit this page.

I will be looking to see that you have completed the practice problems tomorrow.

Homework (5/2)

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Good afternoon -

There have been several questions about what I am expecting to be completed in the homework.  To clear up things, I will be looking specifically to see that 1-24 have been completed.

AP Digest (5/1 & 5/2)

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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

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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.

T-Shirt Opportunity

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My Discrete Math classes are going on an awesome field trip to take and analyze stats at a Cubs game and have designed a shirt (hence the cub on the shirt)!  If you like the look of this shirt and would care to order one, 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, so you will have to order by tonight.  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.