Syllabus 2020 trigonometry BSED PDF

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BACHELOR OF SECONDARY EDUCATION (MAJOR IN MATH)Course Syllabus in TrigonometryCourse Title: TrigonometryCourse Code: Math 14 ACredit Units: 3Pre-requisite: MATH 16 (College and Advanced Algebra)COURSE DESCRIPTIONThis course tackles the applications of trigonometry including definitions, identities, ...

Description

BACHELOR OF SECONDARY EDUCATION (MAJOR IN MATH) Course Syllabus in Trigonometry

Course Title: Trigonometry Course Code: Math 14 A Credit Units: 3 Pre-requisite: MATH 16 (College and Advanced Algebra)

COURSE DESCRIPTION This course tackles the applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations were also included. It discusses more problems to provide students opportunities to practice the concepts and skills in trigonometry. It is also incorporated with new or updated applied examples and exercises that show the relevance of trigonometry in our daily life.

I.

DETAILED COURSE OUTLINE PROGRAM OUTCOME

Compute the values of trigonometric functions for key angles in all quadrants.

PERFORMANCE INDICATORS Prepare chart with names of angles and the rules about their measures. Converting between decimal degrees and degrees, minutes and seconds.

COURSE OUTCOME

Recognize the different kinds of angles. Define the six trigonometric functions: sine, cosine, tangent, secant, cosecant and cotangent.

COURSE TOPICS

Chapter 1 TRIGONOMETRIC FUNCTIONS What are the basic terminologies used in trigonometry? What is the common unit in measuring an angle?

TEACHING LEARNING ACTIVITIES (TLA’s)  Lectures 

Discussion

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Brainstorming

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Group Activity

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Board work

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Lectures

ASSESSMENT METHOD Written and Oral Examinations Project (Problem Sets)

What is an angle? What is the difference between acute angle, right angle and obtuse angle? What are the six trigonometric functions? How to convert decimal degrees to degrees, minutes and seconds?

Solve problems involving angles of

Conceptualize the definitions and

Describe and illustrate angles of elevation and

Chapter 2 ACUTE ANGLES

Written and Oral Examinations

elevation and depression using trigonometric functions.

Solve problems using linear and angular speed formulas.

application of the six trigonometric functions.

depression. Recognize situations that involve angles of elevation and depression.

Demonstrate the relationship between an angle and an arc of length s on a circle.

Convert measure of angles from degrees to radian and vice versa; Find the function values for angles in radian; Solve for the arc length and area of sector of a circle.

AND RIGHT TRIANGLES What are the trigonometric functions of acute angles? What are the trigonometric functions of non-acute angles? How to solve trigonometric function values using a calculator? How to solve right triangles? What is an angle of elevation? What is an angle of depression? What are the other applications of right triangles? Chapter 3 RADIAN MEASURE AND CIRCULAR FUNCTIONS What is a radian measure? How to convert between degrees and radians? How to find function values for angles in radians?

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Discussion

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Brainstorming

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Group Activity

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Board work

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Lectures

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Discussion

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Brainstorming

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Group Activity

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Board work

Project (Problem Sets)

Written and Oral Examinations Project (Problem Sets)

What are the other applications of radian measure? How to find an arc length? What is the formula to be used in finding the area of a sector? How to find the values of a circular functions?

Graph trigonometric functions and their transformations.

Write the argument of the function in working with trigonometric expressions and identities.

Enumerate the guidelines for sketching graphs of sine and cosine functions; Translate the graphs of sine and cosine functions

How to determine a number with a given circular function value? Chapter 4 GRAPHS OF THE CIRCULAR FUNCTIONS What is a periodic function? How to graph the sine and cosine functions? What are the guidelines for sketching graphs of sine and cosine functions? What are the different

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Lectures

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Discussion

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Brainstorming

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Group Activity

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Board work

Written and Oral Examinations Project (Problem Sets)

translations of the graphs of the sine and cosine functions? How to determine a trigonometric model using curve fitting? How to graph the other circular functions?

Prove trigonometric identities.

Derive the solutions of oblique triangles such as the law of sine and the la of cosine

Use the fundamental identities in finding the trigonometric function values given one value and the quadrant.

Chapter 5 TRIGONOMETRIC IDENTITIES What are the fundamental identities? How to verify identities by working with one side? How to verify identities by working with both sides? What are the sum and difference identities for cosine? What are the sum and difference identities for sine and tangent? What are double-angle identities? What are the half-angle identities?

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Lectures

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Discussion

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Brainstorming

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Group Activity

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Board work

Written and Oral Examinations Project (Problem Sets)

Solve right and oblique triangles and use the concepts of trigonometry to solve applications

Prepare problems on applications of trigonometry and vectors.

Identify oblique triangles. Define sine and cosine law. Identify applications of sine and cosine law.

Chapter 6 APPLICATIONS OF TRIGONOMETRY AND VECTORS What is an oblique triangle? What are the ambiguous case of the law of sines? What are the laws of cosines? What is heron’s area formula? How to find the magnitude and direction of an equilibrant? How to find an incline angle?

II.

SUGGESTED LEARNING RESOURCES

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Lectures

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Discussion

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Brainstorming

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Group Activity

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Board work

Written and Oral Examinations Project (Problem Sets)

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III.

Sarmiento, A. Advanced Algebra, Trigonometry and Statistics. Based on Basic Education Curriculum

COURSE ASSESSMENT

Grading System: 25% Summative Tests 25% Learning Output 20% Class Performance 30% Major Examinations TOTAL: 100%...