Fundamentals of Mathematics

SURIGAO DEL SUR STATE UNIVERSITY LIANGA CAMPUS Lianga, Surigao del Sur

COLLEGE OF BUSINESS AND INFORMATION TECHNOLOGY (CBIT)

VISION

GOALS

Center of progressive leadership in higher education for quality life and sustainable development.

MISSION

SDSSU Lianga is committed to produce graduates who are: a. Dynamically responsive; b. Entrepreneurially productive; c. Environmentally- friendly; d. Morally upright e. with world class skills

SDSSU shall provide advanced education, professional and higher technological institution, and trainings in various fields of specialization. It shall also undertake research, extension, and entrepreneurial activities for the development needs of the nation.

Program Objectives and its relationship to University Goals: PROGRAM OBJECTIVES (PO) a. To develop highly and globally competent, well- rounded and employable professional in the field of business; b. To train students become entrepreneurs, managers, bankers and office personnel who are imbued with a sound philosophy of life as business practitioners serving as catalyst for moral, social, political, economic and cultural transformation. c. To promote effective leaders in the field of business whose intelligent decisions will be recognized and appreciated by other practitioners of the same professions.

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1. Course Code 2. Course Title 3. Pre-requisite 4. Credit 5. Consultation Hours :

: MATH 1A : Fundamentals of Mathematics : NONE : 3 UNITS :TTH 1:00-4:00p.m

5. Course Description: Fundamental operations involving whole numbers and fractions; decimals and percents; ratio and proportion; interpretation of graphs; metric and nonmetric geometry; counting; combinations and permutations; introduction to algebra

6. Course Learning Outcomes and its Relationships to Program Educational Objectives Course Learning Outcomes At the end of the semester, the students can: a) the students will demonstrate factual knowledge including the mathematical notation and terminology used in this course. b) the students will describe the fundamental mathematical principles, generalizations, and properties arising from the concepts covered in this course. c) identify and describe educational theories that influence modern technology teaching methods d) demonstrate competencies drawn from technology concepts, processes and designs. e) apply the appropriate process in using technology while respecting the unique knowledge and experience of diverse learners. 7. Course Content

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Outcome-Based Evidence of Course Program Assessment (OBA) Values Integration Outcomes Objectives Outcomes Activities Topic: SDSSU VMGO, Classroom Policies, Course Overview, Course Requirements, Grading System (1 hour) 1.Discuss the VMGO of the 1.1 Student can be aware of Individual participation Rubric score cards University, classroom policies, and appreciative of the in class discussion and of class Value of appreciation a, b, c, d scope of the course, course University’s VMGO, group presentation participation requirements and grading system. classroom policies, course using a rubric to assess accomplished by: Course Objectives, Topics, Time Allotment

Desired Student Learning Outcomes

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overview, requirements and grading system. Topic: Preliminary Coverage: Set and Operation Sets(9 hours) 2.1 Define the term and related 2.1 Student can define term terms and other related term on sets. 2.2. describe sets using different methods 2.2. Can identify methods used in writing set 2.3.Give relationships between kinds of sets 2.3. Can classify the set based on its elements. 2.4. Do set operations. Students can express the subset 2.5. Solve problems on sets using of a given set. Venn Diagram 2. Can do set operations.

quality of participation.    Individual participation in class discussion and group presentation using a rubric to assess quality of participation.

Professor Peer Self

Rubric score cards of class participation accomplished by:  Professor  Peer  Self a, b, c

a, b, c, d

Value of participation

a,b,c

a,b,c,d

Value of hard-work

2.5 Can solve problems on sets using Venn diagram.

Topic: The number system (3hours) 3.1.Classify numbers according to categories under the real 3.1. Students can classify number system. number according to the 3.2.Visualize relationships given categories. among sets of 3.2 Can show the number. relationships among set of - rational numbers members on the number line. - Irrational numbers - Integers and non-integers

Individual participation in class discussion and group presentation using rubric of participation.

Assess thru observation of student responses on board work exercises.

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Course Objectives, Topics, Time Allotment

Desired Student Learning Outcomes

Topic: The number Theory (6 hours) 4.1., Identify prime and composite 4.1. Student can identify numbers prime and composite 4.2. tell if a number is divisible by numbers. 2,3,4,5,6,7,8,9,10,11 and 12. 4.2.can tell if a given number is is divisible by 4.3. Find the greatest common 2,3,4,5,6,7,8,9,10,11 and 12. factor and least common multiple of a set of numbers. 4.3. Can find the greatest common factor and least 4.4. solve word problems involving common multiple. GCF and LCM divisibility. 4.4. Can solve word problem involving divisibility GCF and LCM. MIDTERM COVERAGE Topic: Fractions (6 hours) 5.1. Visualize basic fraction concepts. 5.2. identify equivalent fraction 5.3. perform operations on fraction 5.4. solve word problems involving fraction.

5.1 Student can show basic concept of fraction. 5.2 Can rename the given fraction or reduce fraction to lowest term. 5.3. Can add, subtract, multiply and divide fraction 5.4 Can solve word problem involving fraction.

Outcome-Based Assessment (OBA) Activities Student’s participation in question-and-answer activity facilitated by teacher.

Evidence of Outcomes

Course Objecti ves

Progra m Outcom es

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a, b, c, d Value of accuracy

a, b, c

a, b, c,d

Values Integration

Assess thru observation of student responses on Q &A on the board . .

Student’s seat work, board work presentation of the given task. Group discussion of the given word problem.

Teacher rating of individual and group active participation

Value of perseverance

6. Topic: Decimal (10hours) Page 4 of 10

6.1. Recall basic concepts on decimal 6.2. convert decimal to fraction 6.3. perform operations on decimal 6.4. solve word problems involving decimals.

6.1. Student can identify place value of decimal, read given decimal number and write decimal number in expanded form. 6.2. Can convert decimal numbers to fraction forms. 6.3.Can add, subtract, multiply and divide decimals without the use of calculator. 6.4.Can solve word problems involving decimals.

Topic: RATIO AND PROPORTION (6 hours) 7.1. Write ratios and reduce them to 7.1. Student can reduce the the simplest form. given ratio to the simplest form. 7.2. Establish a proportion from the information given in a statement 7.2. Can establish proportion problem and solve for the missing from the given problem and value. solve for the missing value. 7.3. Recognize examples of the three kind of proportion.

7.3. Can identify the type of proportion

7.4. Solve word problems involving ratio and proportion.

7.4. Can solve word problems involving ratio and proportion.

PRE-FINAL COVERAGE TOPIC: PERCENT 8.1 explain the meaning of percent

Students participation in question and answer activity.

Assess thru observation of student responses on Q and A.

a, b, c

Students active participation on the board work exercises.

Student show appropriate presentation of proportion from the given word problem to solve the missing value.

Graded presentation with a, b, c criteria for solving word problem.

Value of selfa, b, c, d confidence and alertness

a, b, c, d Value of cooperation

8.1 Student can define term of percent Page 5 of 10

8.2 express percent as fraction and decimal and vice versa 8.3 visualize concepts of percentage, interest and discount problems 8.4 solve word problems related to percent

FINAL COVERAGE TOPIC: Geometry (3 hours) 8.1. Give representation of the basic terms of Geometry. 8.2. Define polygon and classify according to number of sides. 8.3. Identify convex and concave polygon.

8.1 . Student can give representation of the basic terms of Geometry.

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8.2. Can define polygon and classify according to number of sides. 8.3. Can identify convex and concave polygon.

9. Topic: Angles and Angle properties (3 hours) 9.1 Classify angle according to the 9.1 Student can classify angle given measure. according to the given measure. 9.2. Show adjacent angles, complementary angles, 9.2. Can show the different supplementary angles, vertical angle pairs. angles and linear angles. 10. Topic: Special Triangles (4hours)

Student presentation of the drawing of the different kinds of polygon.

Teacher rating on individual on active participation a, b, c

a, b, c, d

Value of creativity

a, b, c

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Value of creativity and accuracy

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Student individual output showing kinds of angle according to measure and different angle pairs.

Group and individual rating of student’s illustration

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10.1 Identify special right triangle

10.1. Student can identify special right triangle

10.2. Apply the 45-45-90 and 3060-90 and Pythagorean theorem to determine the unknown side of the right triangle.

10.2. Apply the 45-45-90 and 30-60-90 and Pythagorean theorem to determine the unknown side of the right triangle. 11. Topic: Area and Perimeter of simple shape (3hours) 11.1. Find the area and perimeter of rectangle, parallelogram, squares, Student can find the area and trapezoid, triangle and circle. perimeter of rectangle, parallelogram, squares, trapezoid, triangle and circle.

Student board work presentation to support the theorem to determine the unknown side of a right triangle.

Group work presentation about the given task: solving for the area and perimeter.

Group and individual. understanding of the given task.

Teacher rating of group active participation

a, b, c

a, b, c, d

Value of internalization

a, b, c

a, b, c,d

Value of participation

TOTAL: 54 hours Course Requirements: 1. 2. 3. 4.

Attendance Face-to-Face Class Participation Reporting Quizzes and requirements

Grading System: 1. Class participation 2. Requirements 3. Examination Schedule of Examination: Prelim Midterm

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July 2014 August 2014 Page 7 of 10

Final Classes End

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October 2014 October 2014

References: Basic Mathematics for College Students by: Gloria D. Benigno, Ph.D e-math Geometry publishing 2007 Oronze, Mendoza http://www.awesomelibrary.org Fundamentals of Mathematics 1 by: Elvira L. Arellano, Ph. D., Belinda M. Go, Ed. D., Genesis G. Camarista, MA.Ed.-Math, Julio J. Villalon, MA.Ed.-Math Prepared by: Reviewed by:

TESSIL JOY L. LOREN Instructor- Contractual

Bernardita C. Quevedo, Ph. D. Dean of Instruction

Rosalinda O. Bacaron, MSBA Assistant Professor III

Recommending Approval:

Approved:

Cynthia P. Sajot, Ph D. Campus Director

Gerry B. Estrada, Ph. D Vice President for Student Affairs

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