Day 1: Discrete Intro, 4 cubes class activity, voting

project Assigned

Classwork:

4 Cubes Activity

Homework (day 1):

Real World Example (follow directions exactly)

Set up your Discrete Notebook- due in a week!

Begin Voting Project

Text Reminder:To: 81010

Email Reminder: Google Classroom

Code:

Pearsonsuccess.net

Block 1Discrete

@block1dis block1dis.remind.com 3sxxwkh

Block 2Honors

Geometry

@block2hono block2hono@mail.remind.com ybhkgw8

Block 3Discrete

@block3di lock3di@mail.remind.com 4vycvaa

Block 4Honors

Geometry

@a6ee7 a6ee7@mail.remind.com jJt3ya8

Block 6Discrete

@block6d block6d.remind.com tdcqa8

• Syllabus/Required Materials• Textbook Assigned• Homework Log• Text Remind.com Code: _________

• Blog Address: __________________

Discrete Mathematics (day 1)

According to Wolfram MathWorld, “Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. The term "discrete mathematics" is therefore used in contrast with "continuous mathematics," which is the branch of mathematics dealing with objects that can vary smoothly (and which includes, for example, calculus). Whereas discrete objects can often be characterized by integers, continuous objects require real numbers.

The study of how discrete objects combine with one another and the probabilities of various outcomes is known as combinatorics. Other fields of mathematics that are considered to be part of discrete mathematics include graph theory and the theory of computation. Topics in number theory such as congruences and recurrence relations are also considered part of discrete mathematics.

The study of topics in discrete mathematics usually includes the study of algorithms, their implementations, and efficiencies. Discrete mathematics is the mathematical language of computer science, and as such, its importance has increased dramatically in recent decades.”

Class work (day 1):

1) Now using your smart device, find a different definition for “Discrete Mathematics,” ensure you are giving credit where credit is due. (Please print this definition).

2) Now, in your own words, describe what Discrete Mathematics is to a non-mathematical person on the street.

3) “The Four Cubes Problem,” copyright 1997 by Valerie DeBellis for Rutgers Leadership Program in Discrete Mathematics, PS7………pick a partner and directions will follow once everyone is paired up.

Objective: Move the four blocks on the right to the left.

Supplies: a ruler, paper and colored pencils/crayons

Rules: Jump one at at time. (J) You may slide. (S) You cannot move backwards.

In each turn, you may do as many jumps and/or slides as you wish.

Each move must be illustrated and noted (slide, jump, slide)

Hint: there are 24 moves, therefore you should have __25___ illustrations and notes.

Discrete Math Name _____________________________________ Block_____ Unit 1 “Voting” Project Presentation/Project Due Date: _____________(10 pts/day if late) Your goal is to present four or more choices from a category (that you decide) to a minimum of 25 students. These 25 students and/or teachers must rank your choices according to their preference. They must also select the choices that they approve of for method #6. After you have completed your survey, you will compute a group ranking based on the individual preferences. The following methods must be used: 1. Plurality/Majority 2. Runoff 3. Plurality with elimination4. Borda Count 5. Condorcet 6. Approval Voting **You must have prior approval of your choices BEFORE you conduct your survey. Failure to do so will result in an automatic zero on your project.**

Day 4

Specifications:You must keep an organized record of your data. This data will be turned in with your project. The survey itself, as well as all computations will count as part of this project. This information may be kept in a separate binder or folder, but must be turned in at the time the project is due. Your project should include the following TYPED information using correct grammar format: 1. Introduction (What were your choices? Why did you choose them? Who did you survey? What do you

want to accomplish with this project? etc.)2. Explanation of each method and the winner the method produced. (This is the most important part,

because it is the “heart” of your project)3. Conclusion (What were your results? Based on the results, can you determine an overall winner? What do

you think about the results? Do you think people ranked the choices reasonably? etc.)This project will be worth a TEST grade, so it is very important that you put forth your best effort.

Presentation:You will present your project to the class. You will be given points based on your presentation so tangible items are always a plus. (Items you can give out or let the audience be a part of.) Creativity and neatness will also factor in as part of your grade. You will want to make your project as interesting as possible!! Projects may be in a binder, folder, on poster board, or even in Microsoft PowerPoint. If you have any questions, or need suggestions/advice, please do not hesitate to ask!!!