S+Hart,+Nicholas

Insert Course Name **Syllabus**

Office: 452 Trailer A Office Phone: 207-555-1234 Office Hours:** N/A
 * Teacher: Mr. Nicholas Hart
 * E-mail:** nicholas.hart@maine.edu

Probability Grade 9 - Diploma 5. Students understand the relationship of probability to relative frequency and know how to find the probability of compound events. b. Find expected value of events ||
 * =Summary of Unit= ||
 * Hello! Welcome to Mr. Hart's math class! Over the coming weeks we will begin and complete a unit on probability and expected value. Most people have heard about probability and it being used in the "real world". For example, experienced poker players can count cards in a poker hand to utilize the information probability can yield. Thus it is important for everyone to understand probability and how it can be beneficial to them and their lives. In this unit students will understand what probability is and how one can use it. Upon completion students will know the following terms; event, odds, set, expected value, fair and mean. Students will also know the difference of odds and probability as well as expected value and mean. Throughout this unit students will be exposed to analyzing probabilities of various types of content from the color of small candies to extrapolating on student characteristics. At the conclusion of this unit students will have created a "fair" game by using their knowledge of this unit. They will have demonstrated an understanding of how probability can be applied and how to use expected value in real life situations. Thus students will be able to apply probability to their every day lives, while being able to understand the meaning of what probability tells them. Probability is not a guarantee of an event happening, but it is the likelihood of it happening. At the end of this unit the understandings of this topic will be clear to students and their understanding. ||
 * || **Establish Goals:** **(G)** ||
 * //Maine Learning Result//: Mathematics - B. Data

//What understandings are desired?//
• Pictures and graphs can represent data. • Fractions are used to find probabilities. ||
 * //Students will understand that:// **(U)** ||
 * • Not all elements in a data set are equally likely.

//What essential questions will be considered?//
• Why are some pictures/graphs better for an overview of data opposed to other pictures/graphs? • Where can one apply the concepts of probability? ||
 * **Essential Questions:** **(Q)** ||
 * • Why are probabilities between 0 and 1?

//What key knowledge and skills will students acquire as a result of this unit?//
• Critical Design: box plots, frequency tables, bar and line graphs, pie charts. • Formulas: Probability (Events you want/Total events), Quartiles (numerical list), Expected value || • Show how to find and use probabilities. • Make meaning of a visual (of data) to estimate probabilities. • b. Solve for the expected value of a data set. • Infer the likelihood of different events happening based on their probability. • Relate concepts of probability to the real world. • Recognize probability gives ideas not facts on data sets. ||  ||
 * //Students will know:// **(K)** || //Students will be able to do:// **(S)** ||
 * •Terminology: event, set, odds, probability, expected value, mean, element, combinations.
 * **Performance Task**: The Donald himself has turned to our class to use our knowledge of probability and expected value to create a marketable game or game show for him and all of America to enjoy. As a class we will split up into design teams of four members each (a producer, writer, materials gatherer and a marketing guru). The task is to make a challenging yet rewarding/entertaining game that is "fair" based on your knowledge of probability and expected value. If you create a game show be sure to include the expected winnings and if you make a game (i.e. board or card game) be sure to use expected value to set up your game and its rules. All products will be presented in front of Donald Trump and his selection committee. Game shows should be video taped, with an accompanying description of the mathematics behind the created game to be uploaded to the class wiki, board games and other games should include a prototype and a PowerPoint presentation with the rules and mathematics behind the development to be uploaded to the class wiki. ||
 * =Expectations= ||
 * EVERYONE is expected to attend each and every class. Attendance will be a part of your grade under participation. If you do miss a class, you must have an excused absence (filed with the school) in order to get credit for any work due that day. You will be expected to pass in any assignments by the next class after being absent.

All school policies will be followed in my classroom. That means no hats, cell phone use or any other rule breaking before, during or after class. You can refer to the school handbook for any policies you wish to know about.

For any work (homework, quizzes or tests) students can make corrections to earn back up to half the points missed on the assessment. In order to do so, you must find a time to meet with me to go over the assessment to show me your level of understanding of the material that was being graded. ||


 * =Benchmarks= ||
 * The following is a break down of what you will be graded on and how each will influence your grade. You will be able to earn up to 500 points and your grade with be the percent of those 500 you earned.

Game Creation (150 points, 75 points for the product and 75 points for your presentation) You will be part of a game design team hired to create a game for all of America to enjoy. Donald Trump is putting on the competition to find the next great American game. It will be up to you and your team of designers to create a product for submission into this contest. Donald Trump and his selection committee are in charge of selecting the game to be marketed to Americans. You will be able to make a game show or any other type of game you can think of. Regardless of the game created you must have a digital presentation of it to present to Donald Trump and his selection committee at the end of the unit.

Homework (60points for all assignments) All homework assignments will be checked off for completeness. I am not here to grade you on each homework assignment. I just expect each student to be responsible for getting their work done completely. If you have partially done homework you will lose a portion of the points for that assignment.

Assessments (65 points) Assessments will be given periodically to check for your understanding of the material. You will be given assessments at the start, middle and conclusion of certain sections of material. These will not be graded for anything other than completeness. This is your oppurtunity to show me your understanding of the material before you are tested over material.

Test (75 points) At the end of the unit there will be a test over all of the material. With this test I will be checking for understanding of the material and not be looking to trick anyone with hard and unexpected questions. The questions will be directly related to what we will have been learning about in class. If you score lower than you would like you will be able to make up half the points you lost, refer to the "Expectations" section for more details.

Participation (150 points) If you are not in class you will not receive participation points for that day (unless you have an excused absence). There will be eight classes to the unit, each class will be worth 20 points of your participation grade. In order to receive all possible points you must show up to class and be actively participating in what we are doing. We will be doing a lot of hands on work where you will have to do research to understand the material. We will try to get done as much work in the classroom as possible to decrease the amount of time spent on work outside of the classroom. ||


 * =Grading Scale= ||
 * Will follow school guidelines for the grading scale. A (93-100), A- (90-92), B+ (87-89), B (83-86), B- (80-82), C+ (77-79), C (73-76), C- (70-72), D+ (67-69), D (63-66), D- (60-62), F (0-59) ||