Free Essay

Lesson Plan on Angle-Sum Theorem

In:

Submitted By Kvin
Words 1424
Pages 6
Philippine Normal University
Taft Avenue, Manila
Department of Mathematics

A Detailed Lesson Plan in Grade 7 Mathematics on
Angle-Sum Theorem of Polygons

Submitted By:
Kevin Emmanuel S. Deniega
III- 34 BSE Mathematics

Submitted to:
Dr.Gladys Nivera

February 5, 2013

Original Copy
I. Objectives: At the end of a 30-minute period class the students should be able to:

A. Explain how to get the sum of the interior angles of a convex polygon. B. Solve for the sum of the interior angles of an n-sided convex polygon. C. Determine the number of sides of a polygon based on the given sum of all the interior angles. D. Foster cooperation with his group mates in accomplishing the task assigned to their group. E. Present to the class the output of their group activity. F. Develop the act of helping his/her classmates in some of their difficulties in answering some problems. G. Respond to the questions of his/her classmates with regards to the question that he/she is answering.

II. Subject Matter:

Topic: Angle Sum Theorem of Polygons

Materials: Puzzle, chart, worksheets, protractor

References:
Nivera, Gladys C. (2012).Patterns and Practicalities (K-12).Grade 7 Mathematics.
Makati City: Don Bosco Press.
Jose-Dilao, S. & Bernabe, J. (2002). Geometry.
Quezon City: SD Publications.

III. Instructional Strategies:

A. Preparatory Activities 1. Prayer 2. Greetings 3. Checking of attendance

B. Developmental Activities

Teacher’s Activities

1. Review and Motivation. The class will be divided into four groups. Each group will be provided with a jigsaw puzzle (the puzzles are shown at the last page of this lesson plan). After they formed the puzzle they will found several illustrations of polygons (from triangle to octagon). They need to identify each polygon and they need to recall the sum of the interior angles of a triangle. They will be provided with a magic pen that will help them to decode the hidden message at the back of the puzzle. The hidden message will lead to a new activity that will launch the lesson for the day.

2. Lesson Proper After they found the device they will find out the following instruction: 1. Count the number of sides of each polygon. 2. Draw all the possible diagonals that can be formed from one vertex of the polygon to another vertex of that same polygon. 3. Count the number of triangles that can be formed after drawing all the diagonals. 4. Using a protractor, find the sum of all the measurement of the interior angles of each polygon. 5. Record your data on the chart that will be given to you by the teacher. (the example of the chart is shown at the last page of this lesson plan)

Student’s Activities

All of the group will post there chart on the board.

Can you please compare the number of triangles formed by the diagonals with the number of sides of the polygon? What is the sum of the interior angles of a triangle?

What can you say about the sum of the interior angles of a triangle and a quadrilateral? How about a quadrilateral and a pentagon?

How can you relate the sum of the interior angles of each polygon with respect to the number of triangles that can be formed by the diagonals?

C. Generalization How can we obtain the number of triangles that can be formed by an n-sided polygon or n-gon? What is the sum of the interior angles of an n-gon?

How can we identify the number of sides of a polygon if the only given information is about the sum of the interior angles of that polygon?

The number of triangles formed is two (2) less than the number of sides of the polygon.

The sum of the interior angles of a triangle is equal to 1800.

The difference between the sum of the interior angles of a triangle and a quadrilateral is equal to 1800.
The difference between the sum of the interior angles of a quadrilateral and a pentagon is equal to 1800.

The quotient between the sum of the interior angles of each polygon and the number of triangles formed is equal to 1800.

The number of triangles can be formed with an n-gon is two less than the number of sides of polygon or n-2. The sum of the interior angles of an n-gon is equal to the product of the number of triangles formed and 1800 or (n-2)1800 We can identify the number of sides of a polygon if we have the sum of the interior angles. Solve for the quotient of the given sum of interior angles and 1800. Just add two (2) to the quotient. In mathematical symbol we have this as: Sum of the interior angles180°+2

4. Application

Look for a partner. It can be your seatmate or anyone from the class, seat beside each other. There will be two worksheets; you must see to it that you are holding different worksheet. For those who are holding the worksheet 1 you will act as the first doer then those who are holding worksheet 2 you will act as the helper. The doer will answer the question and the helper will be the one to check the answer of the doer. If the doer has a question, the helper must answer it and the helper must guide the doer in answering. After the doer answered the first question, you will switch role. Remember that you are going to switch role after each question. Please see to it that your partner do not see the solutions that is also provided in you worksheet, you can fold the worksheet if you want. You can start doing the activity.

Worksheet 1 Worksheet A | Answer to Worksheet B | 1. What is the sum of the measurement of the interior angles of a Dodecagon? | 1. Using the formula to get for the no. of sides of a polygon: Sum ofinterior angles180° +2 5580°180°+2 24+2 33 The polygon has 33 sides | 2. How many side does a polygon has if the sum of the measurement of all its interior angles is equal to 43200? | 2. Using the formula: (n-2)1800 For decagon: (10-2) 1800 (8) 1800 14400 For quadrilateral: (4-2) 1800 (2) 1800 3600 So, 14400 – 3600= 10800 10800 is the difference. | 3. Get the difference between the sum of interior angles of an octagon and a pentagon. | 3. Pentadecagon has 15 sides. Using the formula: (n-2)1800 (15-2) 1800 (13) 1800 23400 The sum of the interior angles of a pentadecagon is equal to 23400 |

Worksheet 2 Worksheet B | Answer to Worksheet A | 1. How many side does a polygon has if the sum of the measurement of all its interior angles is equal to 55800? | 1. Dodecagon has 12 sides. Using the formula: (n-2)1800 (12-2) 1800 (10) 1800 18000 The sum of the interior angles of a dodecagon is 18000 | 2. Get the difference between the sum of interior angles of a decagon and a heptagon. | 2. Using the formula to get for the no. of sides of a polygon: Sum ofinterior angles180° +2 4320°180°+2 24+2 26 The polygon has 26 sides | 3. What is the sum of the measurement of the interior angles of a pentadecagon? | 3. Using the formula: (n-2)1800 For pentagon: (5-2) 1800 (3) 1800 5400 For Octagon: (8-2) 1800 (6) 1800 10800 So, 10800 – 5400= 5400 5400 is the difference. |

5. Evaluation On a one-half sheet of paper, answer the following. I. Find the sum of all the interior angles of the following: 1. Triskaidecagon (13 sides) 2. Hexakaidecagon (16 sides) 3. Enneadecagon (19 sides) 4. Hectagon (100 sides) 5. Chiliagon (1000 sides) II. Find the number of sides of a polygon based on the following given sum of the interior angles. 1. 27000 2. 34200 3. 54000 4. 70200 5. 93600

Key to correction: I. II. 1. 19800 1. 17 sides 2. 25200 2. 21 sides 3. 30600 3. 32 sides 4. 176400 4. 41 sides 5. 1796400 5. 54 sides

Attachments: After the students solve the puzzle, the puzzle will look like this: Note: All groups have the same set of puzzle.

The chart that will be used by the students in doing the activity: Polygon | Number of Sides | Number of Triangles | Sum of the measure of interior angles | triangle | | | | quadrilateral | | | | pentagon | | | | hexagon | | | | heptagon | | | | octagon | | | |

Similar Documents

Free Essay

Physics

...SENIOR SECONDARY COURSE PHYSICS 1 (CORE MODULES) Coordinators Dr. Oum Prakash Sharma Sh. R.S. Dass NATIONAL INSTITUTE OF OPEN SCHOOLING A-25, INSTITUTIONAL AREA, SECTOR-62, NOIDA-201301 (UP) COURSE DESIGN COMMITTEE CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Maidan Garhi, Delhi MEMBERS Prof. A.R. Verma Former Director, National Physical Laboratory, Delhi, 160, Deepali Enclave Pitampura, Delhi-34 Dr. Naresh Kumar Reader (Rtd.) Deptt. of Physics Hindu College, D.U. Dr. Oum Prakash Sharma Asstt. Director (Academic) NIOS, Delhi Prof. L.S. Kothari Prof. of Physics (Retd.) Delhi University 71, Vaishali, Delhi-11008 Dr. Vajayshree Prof. of Physics IGNOU, Maidan Garhi Delhi Sh. R.S. Dass Vice Principal (Rtd.) BRMVB, Sr. Sec. School Lajpat Nagar, New Delhi-110024 Dr. G.S. Singh Prof. of Physics IIT Roorkee Sh. K.S. Upadhyaya Principal Jawahar Navodaya Vidyalaya Rohilla Mohammadabad (U.P.) Dr. V.B. Bhatia Prof. of Physics (Retd.) Delhi University 215, Sector-21, Faridabad COURSE DEVELOPMENT TEAM CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Delhi MEMBERS Prof. V.B. Bhatia 215, Sector-21, Faridabad Prof. B.B. Tripathi Prof. of Physics (Retd.), IIT Delhi 9-A, Awadhpuri, Sarvodaya Nagar Lucknow-226016 Sh. K.S. Upadhyaya Principal Navodaya Vidyalaya Rohilla Mohammadabad, (U.P.) Dr. V.P. Shrivastava Reader (Physics) D.E.S.M., NCERT, Delhi EDITORS TEAM CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Delhi MEMBERS Prof. B.B. Tripathi Prof...

Words: 131353 - Pages: 526

Premium Essay

Management

...Semester Period Unit No 103 Units Covered Unit Name Further Mathematics for Engineering Technicians Electrical and Electronic Principles Data Communications and Networks Analytical Methods for Engineers Engineering Science Telecommunication Principles Advanced Mathematics for Engineering Electrical and Electronic Principles Business Management Techniques for Engineers Computer Programming Techniques Radio Communication Engineering Electronic Principles Principles and Applications of Microcontrollers Digital and Analogue Devices and Circuits Management of Projects Project Design, Implementation and Evaluation Personal and Professional Development Work-based Experience Credit Hours 10 10 15 15 15 15 15 15 15 15 20 15 15 15 15 20 15 15 Unit Level 3 3 4 4 4 5 5 5 4 4 4 5 4 5 5 5 5 5 Semester 1 (10 weeks) September- November 2014 101 119 001 Semester 2 (10 weeks) December- February 2014 002 118 059 Semester 3 (10 weeks) March - May 2014 005 007 112 Semester 4 (10 weeks) June - August 2015 120 039 113 Semester 5 (10 weeks) September-November 2015 117 037 Semester 6 (10 weeks) 003 December 2015 -February 2016 027 029 Industrial Training March 2016 - September 2016 UNIT 1: ANALYTICAL METHODS FOR ENGINEERS Unit 1: Unit code: QCF level: Credit value: Analytical Methods for Engineers A/601/1401 4 15 • Aim This unit will provide the analytical knowledge and techniques needed to carry out a range of engineering...

Words: 26988 - Pages: 108

Free Essay

Idrivesa

...2007-2008 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY, HYDERABAD B.TECH. ELECTRONICS AND COMMUNICATION ENGINEERING I YEAR COURSE STRUCTURE |Code |Subject |T |P/D |C | | |English |2+1 |- |4 | | |Mathematics - I |3+1 |- |6 | | |Mathematical Methods |3+1 |- |6 | | |Applied Physics |2+1 |- |4 | | |C Programming and Data Structures |3+1 |- |6 | | |Network Analysis |2+1 |- |4 | | |Electronic Devices and Circuits |3+1 |- |6 | | |Engineering Drawing |- |3 |4 | | |Computer Programming Lab. |- |3 |4 | | |IT Workshop |- |3 |4 | | |Electronic Devices and Circuits Lab |- |3...

Words: 26947 - Pages: 108

Free Essay

Asdfasetsdf

...Answer Key Transparencies Provides transparencies with answers for each lesson in the Student Edition ISBN 0-07-828001-X 90000 9 780078 280016 PQ245-6457F-PO1[001-019].qxd 7/24/02 12:18 PM Page 1 TF06 Manish 06:BOOKS:PRD:PQ245_64575F FINAL DELIVERY:PQ245-01: Chapter 1 Solving Equations and Inequalities Lesson 1-1 Expressions and Formulas Pages 8–10 1. First, find the sum of c and d. Divide this sum by e. Multiply the quotient by b. Finally, add a. 2. Sample answer: 3. b; The sum of the cost of adult and children tickets should be subtracted from 50. Therefore, parentheses need to be inserted around this sum to insure that this addition is done before subtraction. 4. 72 5. 6 6. 23 7. 1 14 Ϫ 4 5 8. Ϫ2 9. 119 10. 0 11. Ϫ23 12. 18 13. $432 14. $1875 15. $1162.50 16. 20 17. 3 18. 29 19. 25 20. 54 21. Ϫ34 22. 19 23. 5 24. 11 25. Ϫ31 26. 7 27. 14 28. Ϫ15 29. Ϫ3 30. Ϫ52 31. 162 32. 15.3 33. 2.56 34. Ϫ7 35. 25 1 3 36. about 1.8 lb 37. 31.25 drops per min 38. 3.4 39. 2 40. 45 ©Glencoe/McGraw-Hill 1 Algebra 2 Chapter 1 PQ245-6457F-PO1[001-019].qxd 7/24/02 12:18 PM Page 2 TF06 Manish 06:BOOKS:PRD:PQ245_64575F FINAL DELIVERY:PQ245-01: 41. Ϫ4.2 42. 5.3 43. Ϫ4 44. 75 45. 1.4 46. Ϫ4 47. Ϫ8 48. 36.01 49. 2 yϩ5 2 b 2 1 6 50. ␲ a 51. Ϫ16 52. 30 53. $8266.03 ...

Words: 90210 - Pages: 361

Premium Essay

Master in Business Management

...analysis. Transportation Problem Formulation optimal solution. Unbalanced transportation problems, Degeneracy. Assignment problem, Formulation optimal solution, Variation i.e., Non-square (m x n) matrix restrictions. Sequencing Introduction, Terminology, notations and assumptions, problems with n-jobs and two machines, optimal sequence algorithm, problems with n-jobs and three machines, problems with n-jobs and m-machines, graphic solutions. Travelling salesman problem. Replacement Introduction, Replacement of items that deteriorate with time – value of money unchanging and changing, Replacement of items that fail completely. Queuing Models M.M.1 & M.M.S. system cost considerations. Theory of games introduction, Two-person zero-sum games, The Maximum –Minimax principle, Games without saddle points – Mixed Strategies, 2 x n and m x 2 Games – Graphical solutions, Dominance property, Use of L.P. to games, Algebraic solutions to rectangular games. Inventory Introduction, inventory costs, Independent demand systems: Deterministic models – Fixed order size systems – Economic order quantity (EOQ) – Single items, back ordering, Quantity discounts (all units quantity discounts), Batch – type production systems: Economic production quantity – Single items, Economic production quantity multiple items. Fixed order interval systems: Economic order interval (EOI) –Single items, Economic order interval (EOI) – Multiple items. Network Analysis Elements of project scheduling...

Words: 30976 - Pages: 124

Free Essay

Physics

...Introductory Physics I Elementary Mechanics by Robert G. Brown Duke University Physics Department Durham, NC 27708-0305 rgb@phy.duke.edu Copyright Notice Copyright Robert G. Brown 1993, 2007, 2013 Notice This physics textbook is designed to support my personal teaching activities at Duke University, in particular teaching its Physics 141/142, 151/152, or 161/162 series (Introductory Physics for life science majors, engineers, or potential physics majors, respectively). It is freely available in its entirety in a downloadable PDF form or to be read online at: http://www.phy.duke.edu/∼rgb/Class/intro physics 1.php It is also available in an inexpensive (really!) print version via Lulu press here: http://www.lulu.com/shop/product-21186588.html where readers/users can voluntarily help support or reward the author by purchasing either this paper copy or one of the even more inexpensive electronic copies. By making the book available in these various media at a cost ranging from free to cheap, I enable the text can be used by students all over the world where each student can pay (or not) according to their means. Nevertheless, I am hoping that students who truly find this work useful will purchase a copy through Lulu or a bookseller (when the latter option becomes available), if only to help subsidize me while I continue to write inexpensive textbooks in physics or other subjects. This textbook is organized for ease of presentation and ease of learning. In particular, they are...

Words: 224073 - Pages: 897

Premium Essay

Book

...SUBJECT: BUSINESS STATISTICS COURSE CODE: MC-106 LESSON: 01 AUTHOR: SURINDER KUNDU VETTER: DR. B. S. BODLA AN INTRODUCTION TO BUSINESS STATISTICS OBJECTIVE: The aim of the present lesson is to enable the students to understand the meaning, definition, nature, importance and limitations of statistics. “A knowledge of statistics is like a knowledge of foreign language of algebra; it may prove of use at any time under any circumstance”……………………………………...Bowley. STRUCTURE: 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 Introduction Meaning and Definitions of Statistics Types of Data and Data Sources Types of Statistics Scope of Statistics Importance of Statistics in Business Limitations of statistics Summary Self-Test Questions Suggested Readings 1.1 INTRODUCTION For a layman, ‘Statistics’ means numerical information expressed in quantitative terms. This information may relate to objects, subjects, activities, phenomena, or regions of space. As a matter of fact, data have no limits as to their reference, coverage, and scope. At the macro level, these are data on gross national product and shares of agriculture, manufacturing, and services in GDP (Gross Domestic Product). 1 At the micro level, individual firms, howsoever small or large, produce extensive statistics on their operations. The annual reports of companies contain variety of data on sales, production, expenditure, inventories, capital employed, and other activities. These data are often field data...

Words: 134607 - Pages: 539

Free Essay

Management

...Azzara, Shon Bayer, John Bergdahl, Marie Dente, Russ Dombrow, Tricia Dublin, Dan Edmonds, Julian Fleisher, Paul Foglino, Alex Freer, John Fulmer, Joel Haber, Effie Hadjiioannou, Sarah Kruchko, Mary Juliano, Jeff Leistner, Sue Lim, Michael Lopez, Stephanie Martin, Chas Mastin, Elizabeth Miller, Colin Mysliwiec, Magda Pecsenye, Dave Ragsdale, “GMAT” Jack Schieffer, Cathryn Still, Fritz Stewart, Rob Tallia, Tim Wheeler, Stephen White, and the staff and students of The Princeton Review. Special thanks to Adam Robinson, who conceived of many of the techniques in this manual. © Princeton Review Management, L. L. C. | iii iv | © Princeton Review Management, L. L. C. TABLE OF CONTENTS INTRODUCTION Welcome The TPR Plan Structure...

Words: 53639 - Pages: 215

Premium Essay

Cat Practice Paper

...THE PRINCETON REVIEW CAT SAMPLE PAPER 1 INSTRUCTIONS – Please read these carefully before attempting the test 1. 2. This test is based on pattern of previous years’ CAT papers. There are three sections. Section 1- English & Reading Comprehension (50 questions) Section 2- Quantitative Ability & Data Interpretation (50 questions) Section 3- Data Interpretation & Data Sufficiency (50 questions) The total time allotted is 2 hours exactly. Please note your start time and end time on the answer sheet. Do not take more than 2 hours, or you will get a wrong assessment. Please fill all the details, as asked on top of the answer sheet. Please try to maximize your attempt overall, but you need to do well in all sections. There is 1 mark for every right answer and 0.25 negative mark for every wrong one. There is no sectional time limit. Since it is a time constrained test and you have 2 hours, and all questions carry equal marks, please do not get stuck on any question, move fast to try and do easier ones. Please do all scratch work on paper only, no extra sheets to be used. Put all your answers on the answer sheet. Relax. You are competing against yourself. 3. 4. 5. 6. 7. 8. 9. 10. The Princeton Review CAT sample paper 1 SECTION I Number of Questions: 50 DIRECTIONS for Questions 1 to 5: In each of the questions, four different ways of presenting an idea are given. Choose the one that conforms most closely to standard English usage. 1. A. We are forced to fall...

Words: 21584 - Pages: 87

Premium Essay

Term Paper

...California University of Business and Technology School of Management Studies BA 360 Principles of Microeconomics Table of Contents Chapter 1 Ten Principles of Economics 3 Chapter 2 Thinking Like an Economist 7 Chapter 3 Interdependence and the Gains from Trade 10 Chapter 4 The Market Forces of Supply and Demand 13 Chapter 5 Elasticity and Its Application 20 Chapter 6 Supply, Demand, and Government Policies 26 Chapter 7 Consumers, Producers, and Efficiency of Market 31 Chapter 8 Application: The Costs of Taxation 35 Chapter 9 Application: International Trade 39 Chapter 10 Externalities 42 Chapter 11 Public Goods and Common Resources 45 Chapter 12 The Design of the Tax System 47 Chapter 13 The Costs of Production 49 Chapter 14 Firms in Competitive Markets 53 Chapter 15 Monopoly 57 Chapter 16 Monopolistic Competition 61 Chapter 17 Oligopoly 64 Chapter 18 The Markets for the Factors of Production 68 Chapter 19 Earnings and Discrimination 73 Chapter 20 Income Inequality and Poverty 76 Chapter 21 The Theory of Consumer Choice 79 Chapter 22 Frontiers of Microeconomics 82 Chapter 1 Ten Principles of Economics I. Significance * How people make decisions * How people interact * How the economy as a whole works II. Highlights The word economy comes from the Greek word oikonomos, which means "one who manages a household." A household faces many decisions, which...

Words: 21081 - Pages: 85

Free Essay

Most Harmless Econometrics

...Mostly Harmless Econometrics: An Empiricist’ Companion s Joshua D. Angrist Massachusetts Institute of Technology Jörn-Ste¤en Pischke The London School of Economics March 2008 ii Contents Preface Acknowledgments Organization of this Book xi xiii xv I Introduction 1 3 9 10 12 16 1 Questions about Questions 2 The Experimental Ideal 2.1 2.2 2.3 The Selection Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Random Assignment Solves the Selection Problem . . . . . . . . . . . . . . . . . . . . . . . . Regression Analysis of Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . II The Core 19 21 22 23 26 30 36 38 38 44 47 51 51 3 Making Regression Make Sense 3.1 Regression Fundamentals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.1 3.1.2 3.1.3 3.1.4 3.2 Economic Relationships and the Conditional Expectation Function . . . . . . . . . . . Linear Regression and the CEF . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Asymptotic OLS Inference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Saturated Models, Main E¤ects, and Other Regression Talk . . . . . . . . . . . . . . . Regression and Causality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2.1 3.2.2 3.2.3 The Conditional Independence Assumption . . . . . . . . . . . . . . . . . . . . . . . . The Omitted Variables Bias Formula . ....

Words: 114745 - Pages: 459

Premium Essay

Acer America

...Fourth Edition, last update November 01, 2007 2 Lessons In Electric Circuits, Volume IV – Digital By Tony R. Kuphaldt Fourth Edition, last update November 01, 2007 i c 2000-2010, Tony R. Kuphaldt This book is published under the terms and conditions of the Design Science License. These terms and conditions allow for free copying, distribution, and/or modification of this document by the general public. The full Design Science License text is included in the last chapter. As an open and collaboratively developed text, this book is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the Design Science License for more details. Available in its entirety as part of the Open Book Project collection at: www.ibiblio.org/obp/electricCircuits PRINTING HISTORY • First Edition: Printed in June of 2000. Plain-ASCII illustrations for universal computer readability. • Second Edition: Printed in September of 2000. Illustrations reworked in standard graphic (eps and jpeg) format. Source files translated to Texinfo format for easy online and printed publication. • Third Edition: Printed in February 2001. Source files translated to SubML format. SubML is a simple markup language designed to easily convert to other markups like A LTEX, HTML, or DocBook using nothing but search-and-replace substitutions. • Fourth Edition: Printed in March 2002. Additions...

Words: 29763 - Pages: 120

Free Essay

Academic Writing

...Mathematical Writing by Donald E. Knuth, Tracy Larrabee, and Paul M. Roberts This report is based on a course of the same name given at Stanford University during autumn quarter, 1987. Here’s the catalog description: CS 209. Mathematical Writing—Issues of technical writing and the effective presentation of mathematics and computer science. Preparation of theses, papers, books, and “literate” computer programs. A term paper on a topic of your choice; this paper may be used for credit in another course. The first three lectures were a “minicourse” that summarized the basics. About two hundred people attended those three sessions, which were devoted primarily to a discussion of the points in §1 of this report. An exercise (§2) and a suggested solution (§3) were also part of the minicourse. The remaining 28 lectures covered these and other issues in depth. We saw many examples of “before” and “after” from manuscripts in progress. We learned how to avoid excessive subscripts and superscripts. We discussed the documentation of algorithms, computer programs, and user manuals. We considered the process of refereeing and editing. We studied how to make effective diagrams and tables, and how to find appropriate quotations to spice up a text. Some of the material duplicated some of what would be discussed in writing classes offered by the English department, but the vast majority of the lectures were devoted to issues that are specific to mathematics and/or computer science. Guest lectures by...

Words: 48549 - Pages: 195

Free Essay

Report

...DECLARATION I hereby state and verify by my signature that I have reviewed this internship report. I hereby affirmed that the report contains the actual project or assignment that I (or the company I work for) assigned to this intern. Date: ________________ Supervisor: ______________________ Signature: _____________ Mentor: ________________________ Signature: _____________ Student: ________________________ Signature: _____________ Acknowledgement First I would like to thank the university-industry linkage coordination office for facilitating us the internship program. And Satcon construction plc takes the credit for my successful completion of the internship program since it would not be possible if it was not their willingness to accept me as their intern. Then I would like to extend my warmest appreciation to Ato Bisrat Mengistu, who has been my advisor at the construction site, for all his hospitality, help and advises. And also I would like to thank all the staff members even the site workers for their undying motivation to cooperate with me. An executive summary I have done my internship work in a site of building construction found in Addis Ababa by the ownership of information communication and technology minister of Ethiopia for the purpose of becoming as head office for the future.It is a g+6 building consists of offices, canteens, toilets, and theatrical hall. It is consulted by MH engineering. Starting from the...

Words: 8159 - Pages: 33

Free Essay

Investements

...list of Frequently Used Symbols and Notation A text such as Intermediate Financial Theory is, by nature, relatively notation intensive. We have adopted a strategy to minimize the notational burden within each individual chapter at the cost of being, at times, inconsistent in our use of symbols across chapters. We list here a set of symbols regularly used with their specific meaning. At times, however, we have found it more practical to use some of the listed symbols to represent a different concept. In other instances, clarity required making the symbolic representation more precise (e.g., by being more specific as to the time dimension of an interest rate). Roman Alphabet a Amount invested in the risky asset; in Chapter 14, fraction of wealth invested in the risky asset or portfolio AT Transpose of the matrix (or vector)A c Consumption; in Chapter 14 only, consumption is represented by C, while c represents ln C ck Consumption of agent k in state of nature θ θ CE Certainty equivalent CA Price of an American call option CE Price of a European call option d Dividend rate or amount ∆ Number of shares in the replicating portfolio (Chapter xx E The expectations operator ek Endowment of agent k in state of nature θ θ f Futures position (Chapter 16); pf Price of a futures contract (Chapter 16) F, G Cumulative distribution functions associated with densities: f, g Probability density functions K The strike or exercise price of an option K(˜) Kurtosis of the random variable x x ˜ L A lottery...

Words: 166919 - Pages: 668