Course Syllabus - Trigonometry PDF

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Siargao Island Institute of TechnologyDapa, Siargao Island, Province of Surigao del Norte http//:siit.eduCOLLEGE OF TEACHER EDUCATIONObjectives-Based Education Course SyllabusMM 102 – TrigonometryVMGO VISION: A leading academic institution trailblazing global competence and high moral values in Sia...

Description

Siargao Island Institute of Technology Dapa, Siargao Island, Province of Surigao del Norte http//:www.siit.edu.ph

COLLEGE OF TEACHER EDUCATION Objectives-Based Education Course Syllabus MM 102 – Trigonometry VMGO

VISION:  A leading academic institution trailblazing global competence and high moral values in Siargao Island. MISSION:  To achieve this vision, SIIT commits itself to: - Render excellent educational service to contribute to the socio – economic growth of Siargao Island. - Develop innovations in Education to produce well – rounded, highly competitive and transformative individuals. - Uphold SIIT core values in all its undertakings in technology of social change. CORE VALUES:  Excellence  Respect  Integrity  Diversity  Service  Spirituality GOALS:  To develop teachers who are self – reliant and responsive to the needs of times, and  To provide dynamic leadership in the development of programs for would – be teachers, teachers. School administrators, and the community. OBJECTIVES:  To produce technologically skilled and globally competitive teachers.  To equip students with academic competencies and prepare them for professional roles as teachers.  To develop competence that addresses issues and concerns towards quality instruction and capability building.  To strengthen institutional and global linkages, collaboration and networking for the sharing of expertise and resources.  To initiate knowledge – based projects for sustainability; and  To keep abreast with the curricular and pedagogical trends.

MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - 2022

PROGRAM OUTCOMES: (from CMO No. 75, s. 2017 p. 3): The graduates have the ability to:     

articulate and discuss the latest developments in the specific field of practice; (PQF level 6 descriptor) effectively communicate in English and Filipino, both orally and in writing; work effectively and collaboratively with a substantial degree of independence in multi-disciplinary and multi-cultural teams; (PQF level 6 descriptor) act in recognition of professional, social, and ethical responsibility; preserve and promote “Filipino historical and cultural heritage” (based on RA 7722) Class Information

Sched Code: Venue: Time: Day(s):

129

Name:

Instructor’s Information Mhatt V. Rosillo, LPT

SIIT Official Portal, Google Meet 1:00-2:30 PM Tuesday/Friday

Office Designation: Office Hours: E-mail address:

College Instructor 8:00 AM to 5:00 PM [email protected]

Course Title

Trigonometry

Course Number

MM 102

Course Credit

3 units/ 3 hrs./wk. (18 weeks, 54 hrs. total)

Course Description:

The course aims to enable students to achieve thorough grasp of circular and trigonometric functions, solutions to triangles, trigonometric identities and the polar coordinate system that will translate into proficient application of these concepts in problem solving and readiness for higher mathematics. Students of this course will engage in inquiry learning and problem-solving using computer applications/software and other technological devices.

Academic Year/Term

2021-2022

MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - 2022

Course Prerequisites

None

Institutional Outcomes

SIIT is committed to produce graduates who are:            

Course Learning Outcomes

Responsive and appreciative of the different values, empowered and committed to social transformation. Competent with knowledge, skills, & attitudes needed in the global market. Professionally, socially, ethically & spiritually responsible. God fearing An ability to engage in a lifelong learning and understanding of the need to keep current of the developments in the specific field of practice. An ability to effectively communicate orally and in writing using English language. An ability to effectively and efficiently transfer the knowledge to the students through classroom strategies and management. An ability to work independently or as a team in the department. An ability to recognize and demonstrate professional, social, intellectual and spiritual responsibility An ability to create networking and linkages among stakeholders. An ability to think creatively and innovatively.

At the end of the course, the pre-service teachers should be able to:   

Resources/ Learning Materials

Excellent in community services.

demonstrate critical thinking through finding solutions to application and/or real life problems that require trigonometric concepts and computations; show skills in using appropriate computer application/software and graphing calculators to carry out computations and explorations of trigonometric problems; exhibit competence in proving trigonometric identities.

Syllabus, Laptop , Smartphone, Pens & Notebook, Recommended books for additional reading LCD projector , Internet Connection, Learning Materials Audio and/or video clips of various media (i.e. Audio – Video Presentation in the form of uploaded and curated PowerPoint Presentation and Video Lectures.)

MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - 2022

Grading System

Session

Week 1-5

Formative Assessment: 30% (Quizzes, Assignments, Groupwork Participation, Oral/Online Participation, Reactionaries Attendance (Face to face & Blended) Summative Assessment: 30% (Preliminary, Mid – Term, Pre- final & Final Examinations) Creative Assessment: 40% (Term Paper, Research Paper/Case Study, Final Requirement) TOTAL 100%

Course Intended Learning Outcomes (CILOs) At the end of the week, the pre-service teacher (PST) should be able to:

Course Content

COURSE MATRIX Instructional Deliveries/ Modality Flexible Learning

Chapter 1:   

Trigonometric points Trigonometric functions Points outside the unit circle Arc length Area of a circular sector

Synchronous Class: 

Interactive Lecture-Discussion on Trigonometric points. Group Activity - The students make a Concept Map about the discussion on Trigonometric functions.

 Use correct mathematical notation  and terminology;   Perfectly define and draw a unit circle and Asynchronous Class: identify the coordinates of trigonometric points  Online drill: The students access the of special angles; website and pick three problems to  Correctly identify the 6 solve: http://www.onlinemathlearnin trigonometric/circular g.com/trigonometrygames.html functions and their http://www.purposegames.co value limits based on m/game/unit-circle-test-quiz this unit circle;  Properly/correctly convert degree  Reflection Activity: The students write measure to radian down 3 things they learned about measure and vice versa trigonometry (after the discussion of and use the radian each main subtopic: unit circle, measure appropriately finding coordinates of special when solving problems; trigonometric points, trigonometric  Accurately solve functions, arc length and area of problems involving arc circular sector), what they find MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - 2022 

Evidences of Performance

Assessment

Participation and interaction with the online lecturediscussion

Problem Solving on the Introduction of Trigonometry

Answer the group/individual drill practice

Learning log by the students on what they learned about Introduction of Trigonometry focusing on content, grammar and structure and over-all components.

length and area circular sector.

of

difficult in the topics presented, and questions that they can generate from the discussion.

Siargao Island Institute of Technology Portal

Preliminary Examination

Session

Week 6-8

Course Intended Learning Outcomes (CILOs) At the end of the week, the pre-service teacher (PST) should be able to: 





Properly sketch the graph of trigonometric functions based on its periodicity and amplitude with (or without) the use online trigonometry games /graphing calculator/ computer graphing applications and pen and paper activity. Analyze the general behavior of the trigonometric function graphs. State the appropriate domain, range, amplitude and period

Course Content

Chapter 2: Graph of Trigonometric Functions      

COURSE MATRIX Instructional Deliveries/ Modality Flexible Learning Synchronous Class: 

Sine Function Cosine Function Tangent Function Cotangent Function Cosecant Function Secant Function

Student-led (Group Interactive Discussion – Six Groups) on Graph of Trigonometric Functions about the following: - Sine Function (Group 1) - Cosine Function (Group 2) - Tangent Function (Group 3) - Cotangent Function (Group 4) - Cosecant Function (Group 5) - Secant Function (Group 6)

Asynchronous Class: 

Online Drill: The students access the website below and pick three problems to solve about the Graphs of Six Trigonometric Functions. - The students pick problems to solve: http://www.onlinemathlearnin

MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - 2022

Answer the Summative Assessment

Summative Assessment

Evidences of Performance

Assessment

Participation and interaction with the student-led discussion

Problem Solving about the Graph of Trigonometric Functions

Answer the group/individual drill practice

Learning log by the students on what they learned about the lesson on trigonometric functions focusing on content, grammar and structure and over-all components.



Week 9-10

for each graph of Sine, Cosine, Tangent, Cosecant, Secant and Cotangent functions. Point out and properly explain the effect of a change in period and amplitude.

At the end of the week, the pre-service teacher (PST) should be able to:



Chapter 3: Trigonometric identities

Synchronous Class: 

 

Fundamental Identities Sum and Difference of Two Angles Identities Double Angle Identities Half Angle Identities

g.com/trigonometrygames.htm l - The students graph the different trigonometric functions using geogebra or any computer graphing applications. Reflection Activity: The students write down 3 things they learned about the lesson on trigonometric functions, anything the students find difficult, and questions that they have for this topic.

Interactive Lecture-Discussion focusing on the Trigonometric Identities (Fundamental Identities.)

Properly apply basic trigonometric identities and algebraic  Group drill on the Sum and Difference  properties to express of Two Angles Identities  one trigonometric function in terms of the Asynchronous Class other trigonometric functions.  Online drill and practice focusing on  Write a proof which Double Angle Identities and Half verifies the validity of a Angle Identities: The students access stated identity. the website below and pick three  Solve the values of problems to solve: trigonometric functions http://www.onlinemathlearnin using identities. g.com/trigonometrygames.html MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - 2022 

Participation and interaction with the lecturediscussion Answer the group/individual drill practice

Problem Solving about the Trigonometric Identities Learning log by the students on what they learned about the lesson on Trigonometric Identities focusing on content, grammar and structure and over-all components.



Midterm Examination

Reflection Activity: The students write down 3 things they learned about the lesson on trigonometric identities, anything the students find difficult, and questions that they have for this topic.

Siargao Island Institute of Technology Portal

MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - 2022

Answer the Summative Assessment

Summative Assessment

Session Week 13-14

Course Intended Learning Outcomes (CILOs) At the end of the week, the pre-service teacher (PST) should be able to:









Week 15-16

Properly sketch the graph for each basic inverse trigonometric function and state the correct domain and range. Explain well how inverse trigonometric functions facilitate the solving of trigonometric functions. Apply inverse trigonometric and algebraic solving techniques on trigonometric functions to correctly solve numerical problems on inverse trigonometric functions; Solve problems involving inverse trigonometric equations.

At the end of the week, the pre-service teacher (PST) should be able to:

Course Content

COURSE MATRIX Instructional Deliveries/ Modality Flexible Learning

Chapter 4: Inverse of the Trigonometric Functions

 

Synchronous Class:



Inverse trigonometric functions Solving trigonometric equations

Student-led (Group Interactive Discussion – 2 Groups) on Inverse of the Trigonometric Functions: - Inverse Trigonometric Functions (Group1) - Solving Trigonometric Equations (Group 2)





Chapter 5: Solutions of Triangles

Problem Solving about the Inverse Trigonometric Functions

Answer the group/individual drill practice

Learning log by the students on what they learned about the lesson on Inverse Trigonometric Functions focusing on content, grammar and structure and over-all components.

Participation and interaction with the lecturediscussion

Pen and Paper quiz about the Solutions of Triangles

 Solving Right Triangles Solving Oblique Triangles - Law of Sines - Law of Cosines

Online drill focusing on Solving Trigonometric Functions: The students access the website below and pick three problems to solve: http://www.onlinemathlearnin g.com/trigonometrygames.html Reflection Activity: The students write down 3 things they learned about the lesson inverse of trigonometric functions, anything the students find difficult, and questions that they have for this topic.

Synchronous Class: Interactive Lecture-Discussion about Solutions of Triangles – Solving Right Triangles

Accurately distinguish Asynchronous Class: the difference between right triangle and  Online drill and practice on Solving oblique triangle. MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - The 2022 Oblique Triangles: students  Use the trigonometric access the website below and pick functions to solve three problems to solve: problems involving right triangles http://www onlinemathlearnin

Assessment

Participation and interaction with the student-led discussion

Asynchronous Class:

  

Evidences of Performance

Answer the group/individual drill practice

Learning log by the students on what they learned about the lesson on Solutions of Triangles focusing on content, grammar and structure and over-all

Session

Week 17-18

Course Intended Learning Outcomes (CILOs) At the end of the week, the pre-service teacher (PST) should be able to:

Course Content

Chapter 6: Polar Coordinate system 





  

Distinguish the difference between a Cartesian Coordinate and Polar Coordinate. Convert Cartesian Coordinates to Polar Coordinates. Convert Polar Coordinates to Cartesian Coordinates. Plot points in a Polar coordinate system. Properly graph polar functions.

COURSE MATRIX Instructional Deliveries/ Modality Flexible Learning

   

Converting from Cartesian Coordinates to Polar Coordinates Converting from Polar Coordinates to Cartesian Coordinates Plotting a Point in Polar Coordinate System Distance between to Polar Points Graphing Polar functions

Synchronous Class: 

Student-led (Group Interactive Discussion – 5 Groups) on Polar Coordinate System: - Converting from Cartesian Coordinates to Polar Coordinates (Group1) - Converting from Polar Coordinates to Cartesian Coordinates (Group 2) - Plotting a Point in Polar Coordinate System (Group 3) - Distance between Polar Points (Group 4) - Graphing Polar Functions (Group 5)

Evidences of Performance Participation and interaction with the student-led discussion Answer the group/individual drill practice

Assessment

Pen and Paper quiz about the Polar Coordinate System Learning log by the students on what they learned about the lesson on Polar Coordinate System focusing on content, grammar and structure and over-all components.

Asynchronous Class:

Final Examination



Online drill and practice: The students graph the different polar functions using geogebra or any computer graphing applications



Reflection Activity: The students write down 3 things they learned about the lesson on polar coordinate system, anything the students find difficult, and questions that they have for this topic.

Siargao Island Institute of Technology Portal

MM102 - TrigonometryDate last revised: February 15, 2022Semester Adopted: 1st semester, AY 2021 - 2022

Answer the Summative Assessment

Summative Assessment

Final Requirement

COURSE POLICIES

  



          CONSULTATION PERIOD

E-portfolio of different Trigonometry Identities focusing on content, grammar and structure and over-all components.

Wearing of face mask and shield inside the venue of learning is a must. Physical distancing of at least one and a half (1 ½) meters is always observed in the classroom. Attendance. A student who incurs four absences will be automatically dropped from the class. Fifteen-minute tardiness is equivalent to one absence. If the student is absent during his/her report or demonstration teaching, he/she will not be allowed to report or teach at a later date. He/she will be automatically given a grade of 70 in this criterion for grading. Special considerations are given to those who experience technological discrepancies during online consultations. Late requirements and assignments. Students are encouraged to submit requirements and assignments on time. Grades will be deducted if assignments and requirements are submitted late. Not submitting assignments within the time allowance agreed by the instructor and the student is considered non-submission. Nonsubmission of assignments entails a grade of 70 while non-submission of requirements entails a final mark of INC. Special considerations are given to those who experience technological discrepancies in accessing or submitting requirements/outputs. Missed activities and exams. There are no make-up tests for missed activities and exams, except for midterm and final exams, if students have valid excuse such as technological discrepancies. Plagiarism and cheating. Plagiarized works will be autom...