...1. Project Title: Strategic Intervention Material: Improving the level of Academic Performance of Grade 8 Students 2. Proponents: Ronaldo Z. Ongotan, Joanne C. Collantes, Mark Anthony L. Esparza, Jennifer D. Ramos, Edralin Aban, Racel Santiañez, and Richard F. Lacquin MAEd, Students 3. Project Duration: June 2014 – March 2015 4. Project Location: Masbate National Comprehensive High School CHAPTER 1 Introduction Despite the fact that students have many difficulties in Mathematics, Factoring Polynomials is one of the least mastered skills for the students. They are confused and didn't know which appropriate method should be used. The proponent wondered if the academic performance of the students will improve through the use of Strategic Intervention Material (SIM) in the topic, Factoring Polynomials in Mathematics Grade 8. This tool of teaching, if properly done, has been proven to encourage students to understand more of the lesson independently and with less teachers’ guidance. The proponent also patterned the activities from the K to 12 curriculum while transforming the learning process into an enjoyable reading, problem solving experience and make an impact to their academic performance. Review of Related Literature Intervention has become an important way for teachers to ensure that all students succeed in today’s high stakes testing environment. Intervention is needed by those low performing students who find it hard to cope-up...
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...3. Maklumat Terperinci Setiap Mata Pelajaran Nama Program Pengajian : Diploma in Management Institusi Pengendali : City University College of Science & Technology |Nama Matapelajaran |Business Mathematics | |Kod |DBQT 1013 | |Status Matapelajaran |Asas Major | |Peringkat |Diploma | |Nilai Kredit |3 (2+1) | | |2 mewakili kuliah (2 jam seminggu x 14 minggu) | | |1 mewakili tutorial ( 1.5 jam seminggu x 14 minggu) | |Prasyarat |Tiada | |Penilaian |Tugasan (20%) & Ujian (10%) |50 % | | |Peperiksaan Pertengahan (20%) | ...
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...MYKA E. AUTRIZ BSBM 101 B CHAPTER II SET OF NUMBERS Although the concepts of set is very general, important sets, which we meet in elementary mathematics, are set of numbers. Of particular importance is the set of real numbers, its operations and properties. NATURAL NUMBERS are represented by the set of counting numbers or real numbers. EXAMPLES: 6, 7.8.9.10.11.12.13.14.15.16.17, 18, 19, 20…………………. WHOLE NUMBERS are represented by natural numbers including zero. EXAMPLES: 1, 2, 3, 50, 178, 2, 856, and 1,000,000 INTEGERS are negative and positive numbers including zero. EXAMPLES: -4, -3, -2, -1, 0, 1, 2, 3, 4…………………….. RATIONAL NUMBERS are exact quotient of two numbers, which are set of integers, terminating decimals, non-terminating but repeating decimals, and mixed numbers. EXAMPLES: 4/5, -5/2, 8, 0.75, 0.3 IRRATIONAL NUMBERS EXAMPLES: 3, 11/4, -7, 5/8, 2.8 ABSOLUTE VALUE of number is positive (or zero). The absolute value of a real numbers x is the undirected distance between the graph of x and the origin. EXAMPLES: /7/-/3/ solution /7/-/3/=7-3=4 and /-8/-/-6/=8-6=2 OPERATIONS ON INTEGERS ADDITION SUBTRACTION MULTIPLICATION DIVISON 9+5=14 9 - -5=14 -45x8=-360 -108÷9=-12 -15+5=10 23 - -4=27 -8+-5=-13 -89 -136=-225 -13+20=7 ...
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...Introduction In this chapter, research from multiple authors will provide supporting answers for my research question, how do games and manipulatives impact students' interest in Mathematics?, how do games and manipulatives impact students' performances in Mathematics?, and what are the benefits of using games and manipulatives when teaching fractions? Based on research thus far manipulative and games improve students’ interest and performance, while some researchers don’t see a significance difference in manipulatives increasing students interest in mathematics. (Kontaş) (2016).I found that manipulatives were proven to assist in helping students in building conceptual understanding, and eliminate misconception in mathematics. DeGeorge and...
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...MAPÚA INSTITUTE OF TECHNOLOGY Department of Mathematics COURSE SYLLABUS 1. Course Code: Math 10-3 2. Course Title: Algebra 3. Pre-requisite: none 4. Co-requisite: none 5. Credit: 3 units 6. Course Description: This course covers discussions on a wide range of topics necessary to meet the demands of college mathematics. The course discussion starts with an introductory set theories then progresses to cover the following topics: the real number system, algebraic expressions, rational expressions, rational exponents and radicals, linear and quadratic equations and their applications, inequalities, and ratio, proportion and variations. 7. Student Outcomes and Relationship to Program Educational Objectives Student Outcomes Program Educational Objectives 1 2 (a) an ability to apply knowledge of mathematics, science, and engineering √ (b) an ability to design and conduct experiments, as well as to analyze and interpret from data √ (c) an ability to design a system, component, or process to meet desired needs √ (d) an ability to function on multidisciplinary teams √ √ (e) an ability to identify, formulate, and solve engineering problems √ (f) an understanding of professional and ethical responsibility √ (g) an ability to communicate effectively √ √ (h) the broad education necessary to understand the impact of engineering solutions in the global and societal context √ √ (i) a recognition of the need for, and an ability to engage...
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...midd@gmail.com Objective To obtain a post-secondary education in a well-rounded college or university of higher learning that focuses on my majors and gain a focus career path. Education Zebulon B. Vance High School Charlotte, NC 2011-2015 Professional Profile * Dependable team player among small and large groups * Work in a quick and organized pace * Diligent and knowledgeable within my expertise, such as mathematics * Provides great service and ideas for fellow colleagues or classmates * Have a professional and personable demeanor * A very hardworking and compassionate person Work Experience Baby-sitting and Dog-sitting June 2012-August 2014 Volunteer Experience PTA 2011-2012 * Movie Nights -Operated cash registrar -Served refreshments to audience -Escorted them to their seats * Book Fairs -Operated cash registrar * Festivals -Checked in students with tickets -Handed out refreshments Tutoring 2012-2013 * Taught students in mathematics -Taught problem-solving -Taught factoring and multiplication * Organized group activities -Created fun games related to the lesson Girl Scouts 2012- * Fundraised “Salvation Army” sponsored Toy Drive * Manually handing off heavy materials * Sold a great amount Girl Scout Cookies to send off for sponsored charities Environmental Justice Club MGR 2013- * Planted gardens around the school * Volunteered to promote environmental safety * Scheduled events...
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...The Concept of Prime Numbers and Zero MTH/110 March 14, 2011 The Concept of Prime Numbers and Zero Have you ever wondered about the origins of prime numbers or the numeral zero? The ancient philosophers and mathematicians from such early civilizations in Egypt, Greece, Babylon, and India did. Their efforts have provided the basic fundamentals for mathematics that are used today. Prime Numbers A prime number is “any integer other than a 0 or + 1 that is not divisible without a remainder by any other integers except + 1 and + the integer itself (Merriam-Webster, 1996). These numbers were first studied in-depth by ancient Greek mathematicians who looked to numbers for their mystical and numerological properties, seeking perfect and amicable numbers. (O’Connor & Robertson, 2009) In 300 BC, Greek mathematician, Euclid of Alexandria proved and documented in his Book IX of the Elements that prime numbers were infinite. He started with what he believed to be a comprehensive list of prime numbers, created a new number, N, by multiplying all of the prime numbers together and adding 1. This resulted in a number not on his list and not divisible by any of his prime numbers. N therefore had to be either prime itself or be a composite number that was a product of at least two other prime numbers not on his list. In 1747, a mathematician named of Euler demonstrated that all even numbers were perfect numbers. However, one hundred years later in 200 BC, Eratosthenes of...
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...|[pic] |Syllabus | | |Axia College | | |MAT/117 Version 7 | | |Algebra 1B | Copyright © 2010, 2009, 2007 by University of Phoenix. All rights reserved. Course Description This course explores advanced algebra concepts and assists in building the algebraic and problem-solving skills developed in Algebra 1A. Students solve polynomials, quadratic equations, rational equations, and radical equations. These concepts and skills serve as a foundation for subsequent business coursework. Applications to real-world problems are also explored throughout the course. This course is the second half of the college algebra sequence, which began with MAT/116, Algebra 1A. Policies Faculty and students/learners will be held responsible for understanding and adhering to all policies contained within the following two documents: • University policies: You must be logged into the student website to view this document. • Instructor policies: This document...
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...“Memorizing math facts is the most important step to understanding math. Math facts are the building blocks to all other math concepts and memorizing makes them readily available” (EHow Contributor, 2011). To clarify, a math fact is basic base-10 calculation of single digit numbers. Examples of basic math facts include addition and multiplication problems such as 1 + 1, 4 + 5, 3 x 5 and their opposites, 2 – 1, 9 – 4, 15/5(Marques, 2010 and Yermish, 2011). Typically, these facts are memorized at grade levels deemed appropriate to a student’s readiness – usually second or third grade for addition and subtraction and fourth grade for multiplication and division. If a child can say the answer to a math fact problem within a couple of seconds, this is considered mastery of the fact (Marques, 2010). Automaticity – the point at which something is automatic- is the goal when referring to math facts. Students are expected to be able to recall facts without spending time thinking about them, counting on their fingers, using manipulatives, etc (Yermish, 2011). . In order to become a fluent reader, a person must memorize the sounds that letters make and the sounds that those letters make when combined with other letters. Knowing math facts, combinations of numbers, is just as critical to becoming fluent in math. Numbers facts are to math as the alphabet is to reading, without them a person cannot fully succeed. (Yermish, 2011 and Marquez, 2010). A “known” fact is one that is “answered...
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...Boolean Algebraic Identities Boolean Addition and Subtraction Complementary Gates (NOT) Boolean complementation finds equivalency in the form of the NOT gate, or a normallyclosed switch or relay contact: Topic Notes: • Boolean addition is equivalent to the OR logic function, as well as parallel switch contacts. • Boolean multiplication is equivalent to the AND logic function, as well as series switch contacts. • Boolean complementation is equivalent to the NOT logic function, as well as normallyclosed relay contacts. 1 Boolean algebraic identities The algebraic identity of x + 0 = x tells us that anything (x) added to zero equals the original ”anything,” no matter what value that ”anything” (x) may be. Like ordinary algebra, Boolean algebra has its own unique identities based on the bivalent states of Boolean variables. The first Boolean identity is that the sum of anything and zero is the same as the original ”anything.” This identity is no different from its real-number algebraic equivalent: No matter what the value of A, the output will always be the same: when A=1, the output will also be 1; when A=0, the output will also be 0. The next identity is most definitely different from any seen in normal algebra. Here we discover that the sum of anything and one is one: Next, we examine the effect of adding A and A together, which is the same as connecting both inputs of an OR gate to each other and activating them with the same signal: Introducing the uniquely...
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... | | |SOUTHWEST COLLEGE | | |Department of Mathematics | COURSE SYLLABUS MATH 1314: College Algebra INSTRUCTOR: Fatemeh Salehibakhsh E-MAIL: f.salehibakhsh@hccs.edu Office Hours T- TR 1:00 pm – 2:00 pm F 11:00 am – 1:00 pm By Appointment Only Location H. C. C. West Loop Campus Course Description Topics include quadratics, polynomial, rational, logarithmic and exponential functions, system of equations, matrices and determinants. A departmental final examination will be given in this course. Prerequisites Must be placed into college-level mathematics or completion of MATH 0312. Course Goal This course is designed as a review of advanced topics in algebra for science and engineering students who plan to take the calculus sequence in preparation for their various degree programs. It is also intended for non-technical students who need college mathematics credits to fulfill requirements for graduation and prerequisites for other courses. It is generally transferable to other disciplines as math credit for non-science majors. |Student Learning Outcomes ...
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...vA Very Brief History of Computer Science Written by Jeffrey Shallit for CS 134 at the University of Waterloo in the summer of 1995. This little web page was hastily stitched together in a few days. Perhaps eventually I will get around to doing a really good job. Suggestions are always welcome. A translation of this web page into French has been prepared by Anne Dicky at the University of Bordeaux. Before 1900 People have been using mechanical devices to aid calculation for thousands of years. For example, the abacus probably existed in Babylonia (present-day Iraq) about 3000 B.C.E. The ancient Greeks developed some very sophisticated analog computers. In 1901, an ancient Greek shipwreck was discovered off the island of Antikythera. Inside was a salt-encrusted device (now called the Antikythera mechanism) that consisted of rusted metal gears and pointers. When this c. 80 B.C.E. device was reconstructed, it produced a mechanism for predicting the motions of the stars and planets. (More Antikythera info here.) John Napier (1550-1617), the Scottish inventor of logarithms, invented Napier's rods (sometimes called "Napier's bones") c. 1610 to simplify the task of multiplication. In 1641 the French mathematician and philosopher Blaise Pascal (1623-1662) built a mechanical adding machine. Similar work was done by Gottfried Wilhelm Leibniz (1646-1716). Leibniz also advocated use of the binary system for doing calculations. Recently it was discovered that Wilhelm Schickard (1592-1635)...
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...Essential Mathematics 1: Algebra and Trigonometry Assignment One Question 1a) Solve 2+x=3x+2x-3. Leave solutions in simplest rational form. The linear equation which is in the form ax+b=0 or can be transformed into an equivalent equation into this form. 2+x=3x+2x-3 Expand 2x-3. 2+x=3x+2x-6 Add 3x+2x together. 2+x=5x-6 Subtract 5x from both sides. 2-4x=-6 Subract 2 from both sides -4x=-8 Divide both sides by-4 x=2 Check Solution x=2 2+x=3x+2x-3 Change x to 2 2+2=3×2+22-3 Add 2+2 together, multiply 3 and 2, expand 22-3 4=6+4-6 Subtract 6 from 6+4 4=4 Thus, the solution for 2+x=3x+2x-3 is x=2 . Question 1b) Solve 2xx-1+3x=x-9xx-1 This equation is rational, it can be written as the quotient of two polynomials. In addiction of expressions with unequal denominators, the result is written in lowest terms and expressions are built to higher terms using the lowest common denominator. 2xx-1+3x=x-9xx-1 multiply x-1 from 3x 2+3x-1=x-9 Expand 3x-1 2+3x-3=x-9 Subtract 3 from 2 3x-1=x-9 Subtract x from both sides 2x-1=-9 Add 1 from both sides 2x=-8 Divide 2 from both sides ...
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...then popping both frozen and unfrozen bags in the microwave. Finally I will count the popped and unpopped kernels to determine the percentages for both variables and if there is a difference. Literature Review Through my research I did not find any other experiments like my own. I did, however, find two other popcorn experiments that helped me decide on my experimental plan. In both articles, the experimenters were trying to decide which brand of popcorn produced the lowest yield of unpopped popcorn. The Popcorn and College Students describes any broken kernel as popped and any intact kernels as unpopped (Saum, DeLap, Skinner, & Galli, 2003). Tammie Mason’s experiment however gives much more concise direction and describes the mathematics she used to obtain the data (Mason, 2011). Both experiments use the method of counting the kernels to determine a percentage (Mason, 2011) (Saum, DeLap, Skinner, & Galli, 2003). This is the method I will use for my experiment. Experimental Design Steps 1. Place 3 bags of popcorn in freezer. 2. Leave bags of popcorn in freezer 24 hours to insure they are thoroughly frozen. 3. Place bag 1 of room temperature popcorn in microwave. 4. Microwave for one minute and 45 seconds. 5. Remove bag from microwave. 6. Separate popped kernels from unpopped kernels into separate containers. 7. Count popped popcorn. 8. Count unpopped kernels. 9. Add results together to get a total number of kernels....
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...Projections Data 9 Figure 2 ESTIMATED WAGES 10 Summary 10 References 12 Appendix A 13 Job Summary 1 - Senior Embedded Engineer 14 Job Summary 2 - Android Software Programmer 16 Abstract This paper focuses on the field of software engineering, with a focus on the specific job role of a systems analyst, an area that has undergone rapid changes in the past decade. In many ways, yesterday’s software professionals have engineered their own obsolescence by streamlining technologies that allow users to do much of the work themselves (U.S. Department of Labor, 2008). Systems analysts begin the computer application design process. They work with clients to understand requirements and map out solutions. This requires problem solving skills, mathematics and programming knowledge— traditional practices which systems analysts have always undertaken. What has changed is the need for analysts with excellent communication skills, capable of serving as the intermediary between the client and the programmers, in order to develop solutions that meet the customer’s needs within the constraints of programming capabilities. The field of systems analysts, in the traditional form, is shrinking, however, the field of systems analyst as client/designer mediator is growing. Software Engineering for Displaced Computer Programmers “In early 2004, ACM members began expressing concern about the future of computing as a viable field of study and work. There were...
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