MAPUA INSTITUTE OF TECHNOLOGYDeportment of Mqthemotio

vlsl0NThe Mapua Institute ofTechnology shall be a global center ofexcellence in education by

providing instructions that are cuffent in content and state-of{he-art in delivery; by engaging incutting-edge, high impact research; and by aggressively taking on presenlday global concems.

MISSIONThe Mapua Institute of Technology disseminates, generates, preserves and applies knowledge

in various fields of study.The Institute, using the most effective and efficient means, provides its students with highly

relevant prolessional and advanced education in preparation for and furtherance ofglobal practice.

The Instihlte engages in research with high socio-economic impact and reports on the results ofsuch inquiries.

The Institute brings to bear humanity's vast store ofknowledge on the problems ofindustry and

community in order to make the Philippines and the world a better place.

BASTC STUDIES EDUCATIONAL OBJECTIVESMtsstoN

a b c d

To provide students with a solid foundation in mathematics, physrcs,

general chemistry and engineering drawing and to apply knowledge toengineering. architecture and other related disciplines,

2. Io complement the technical training ofthe students with proficiencyin oral. wrillen. and sraohics communication,

3. To instill in the students human values and cultural refinement tkoughthe hunranities and social sciences.

4. To inculcate high ethical standards in the students through itsinteeration in the Ieaming activities.

1.

2.

3.

4.

5.

6.

Course Gode:

Gourse Title:

Pre-requisite:

Co-requisite:

Credit:

Course Description:

COURSE SYLLABUS

MATH 13

SOLID MENSURATION

MATH 12

None

2 units

This course covers topics on mensuration of plane figures in space, andtheir applications. lt also deals with determination of volumes and surfaceareas of solid figures such as prisms, cylinders, pyramids, cones, frustums,prismatoids, spheres and solids of revolution.

.AUThgOffiEEED

Course Title:

SOLID MENSURATION

Date Effective:1't Quarter

sY 2012-2013

COPY

7. student outcomes and Relationship to Basic studies Educational objectives

8. Course Outcomes (GOs) and Relationship to Student Outcomes

* Level: l- lntroduced, R- Reinforced, D- Demonstrated

9. Course Coverage

Student OutcomesBasic Sludies Educational

Objectives1 2 3 4

(a) an abllity to apply knowledge of mathematics, science,and engineering

(b) an ability to design and conduct experiments, as well asto analyze and interpret from data

(c) an ability to design a system, component, or process tomeet desired needs

(d) an ability to function on multidisciplinary teams

(e) an ability to identify, formulate, and solve engineeringproblems

(f) an understanding of professional and ethicalresponsibility

(q) an ability to communicate effectively

(h) the broad education necessary to understand the impactof engineering solutions in the alobal and societal context

(i) a recognitron of the need for, and an ability to engage inlife-long learning

(i) a knowledge of contemporarV issues

(k) an ability to use the techniques, skills, and modernengineering tools necessary for enqineerinq practice

Course OutcomesAfter completing the course, the student must be able to:

Student Outcomes*a b c D e F q h K

1. Apply the basic concepts of mensuration of plane figures in solvinggeometric problems. D I D D R D

2. Solve problems involving solids for which the volume is equal to thearea of the base times heiqht (V = Bh) namely prism and cylinder,and solve problems involving solids for which the volume is equal toone-third of the product of area of base and height (V=U3 Bh)namely cone and pyramid,

D D D D I R D

3. Solve problems involving solids for which the volume is equal to theproduct of the mean of the area of base and height (V = (mean B)hnamely frustum, prismatoid and truncated solids, and solve problemsinvolving spheres and other miscellaneous solids.

D I D D D I R D

Week TOPTCS TLA AT COURSEOUTCOMES

1

Mission and Vision of Mapua lnstitute ofTechnology

Orientation and lntroduction to theCourseDiscussion on COs, TLAs, and ATs of thecourse

Overview on student-centered learning andeclectic approaches to be used in the course

/\UT* IORIZIEI

Course Title:

SOLID MENSURATION

Date Effective:1't Quarter

sY 2012,2013

copY

Week TOPTCS TLA ATCOURSE

OUTCOMES

Mensuration of Plane Figures:- Regular Polygons

Lecturei Discussion

col

2

Triangles and Quadrilaterals-paralleloqram,rectanqle,square,

Lecture/Discussion

Rhombus, trapezoid and trapezium Lecture/Discussion

J

Circles: definitions and theorems onCircles

Lecture/Discussion

- sector, segment, annulus and cyclicquadrilateral

Lecture/Discussion

4

Star polygons, parabolic section,Elliptical section and compositeFioures

Lecture/Discussion Homework

LONG QUIZ 1

Solid Mensuration : V=BhPolyhedra, Similar figures, Volumes andSuface areas of platonic solids

Lecture/Discussion

co26

Prisms, Rectangular Parallelepiped and Cube Lectu relDiscussion

Cylinders CoilaborativeLearning 1

Project 1

Problem-basedapproach

7

Solid Mensuration: V=1/3 BhPvramids and Cones

Lecture/Discussion

LONG QUIZ 2

I

Solid Mensuration ; Y=(Mean B)hFrustums of Cones and Pvramids

Lecture/Discussion

co3

Truncated Prisms and Cylinders

Prismatoids

Cylindrical wedge

CollaborativeLearning 2

Project 2-A

Problem-basedapproach

s

Sphere- Properties, Area of the Surface,

and Volume- zone, SDherical sector. soherical cone

Lecture/Discussion

LONG QUIZ 3

10

Ellipsoid, Paraboloid, Torus Multiple LearningApproach

Project 2-B(Short film

Documentaiy-Environmentally

Related)

Pappus Guldinus Theorem and Composite Solids Le ctu relDiscuss ion

11SUMMATIVE ASSESSMENT

FINAL EXAMINATIONco1, co2,

co3

10. Opportunities to Develop Lifelong Learning Skill AUTI"N OREZ, E,W Y

Course Title:

SOLID MENSURATION

Date Effective:1't ouarter

sY 2012-2013

Date Revised:

June 2012

Prepared by:(\^Jq#ter lVqlfmmiltee

^Y0tfr5*!b sABrNo

gubiect chairPage 3 of 5

D

1 1. Contribution of Course to Meeting {he Professional Component

Engineering Topics . 0%General Education : jokBasic Sciences and Mathematics : loook

'12. Textbook: Solid Mensuration - Understanding the 3D Space by Richard Earnhart

13. Course Evaluation

Student performance will be rated based on the following:

Assessment Tasks weight (%) Minimum Average forSatisfactory

Performance (%)

co1 Lonq Quiz 1 15.7513.13

RLA 3

co2 Lonq Quiz 2 16.25 18.38Proiect 1 10

co3 Lonq Quiz 321Proiect2(A&B) 15

Summative Assessment:Final Examination

25 17.5

TOTAL 100 70

The final grades will correspond to the weighted average scores shown below:

Final Averase fainal (lrrdc96< X < 100 1.00

93< X <96 1.25

90< x <93 1.50

86< X <90 1.75

83< X <86 2.00

80<x<83 22576<X<80 2.5 0'71< X <',1 6 2.1510 < x<73 3.00

Ilelorv 70 5.00 (Fail)

13.1. Other Course Policies

a. AttendanceAccording to CHED policy, total number of absences by the students should not be more than20% of the total number of meetings or I hrs for a three-unit-course. Students incurring morethan g hours of unexcused absences automatically gets a failing grade regardless of classstanding.

b. Submission of Assessment Tasks

c. Written Examination

d. Course Porttolio

e. Lansuaseoftnstruction A[.]?-g.iffi;;tdeED

Course Titie:

SOLID MENSLIRATION

Date Effectivei1'1 Quarter

sY 2012-2013

Date Revised:

Jtne 2012

';ffi1 ryltuglj)^(/ro.o","o

/subiect CharrPage 4 of 5

Lectures, discussion, and documentation will be in English. Written and spoken work may receivea lower mark if it is, in the opinion of the instructor, deficient in English.

f. Honor, Dress and Groomlng CodesAll of us have been instructed on the Dress and Grooming Codes of the lnstituie. We have allcommitted to obey and sustain these codes. lt will be expected in this class that each of us will

honor the commitments that we have made.For this course the Honor Code is that there will be no plagiarizing on written work and no

cheating on exams. Proper citation must be given to authors whose works were used in theprocess of developing instructional materials and learning in this course. lf a student is caughtcheating on an exam, he or she will be given zero mark for the exam. lf a student is caughtcheating twice, the student will be referred to the Prefect of Student Affairs and be given a failinggrade.

g. Consultation ScheduleConsultation schedules with the Professor are posted outside the faculty room and in theDepartment's web-page ( http;//math.mapua.edu. ph ). lt is recommended that the student flrst setan appointment to confirm the instructor's availability.

14. Other References

14.1 . BooksPlane and Solid Mensuration by Earnhart and BejasaSolid Mensuration by Kern and Bland

14.2 Websiteshttp://www.mathalino.comi reviewer/solid-mensuration/solid-mensurationhttp ://groups.yahoo.com/group/solidmensuration_mapua

15. Course Materials Made Available

Course schedules for lectures and quizzesSamples of assignmenVProblem sets of studentsSamples of written examinations of studentsEnd-of-course self-assessment

16. Committee Members:Course Cluster Chair: Richard T. EarnhartCQI Cluster Chair: Joseph G. SantosMembers: Wyndell A. Almenor

Gilford B. Estoreslvlorris Martin M. JaballasMa. Christina A. Valerio

AU ffi8tenf,HD

Course Titlei

SOLID MENSURATION

Daie Effective:1'r Quarter

sY 2012-2013

Date Revised:

June 2012

Prtftared by:

.ffr-{Cdn] miltee

^{f/r}g.Jla:-,I D SABINo

/Subject chairPage 5 of 5