DEMONSTRATION LESSON PLAN IN MATHEMATICS IV

DEMONSTRATION

LESSON PLAN

IN

MATHEMATICS IV

I.                    Objectives

At the end of the lesson, the students are expected to:

a.      define radian and degrees

b.      convert angle measure in degrees to radian and vice-versa

II.                  Subject Matter:

Topic: Circular Function and Trigonometry

Subtopic: Degrees and Radians

Materials: Powerpoint Presentation, Wyte board, marker

References: Dilao, Solidad Jose et.al( Advance Algebra, Trigonometry and Statistics)

III.                Teaching Strategies:

A.     Preparatory Activities

1.      Prayer

2.      Greetings

3.      Checking of Attendance

4.      Review

1.      Differentiate the negative and positive angle

2.      How to convert the given angles into degree, minute, seconds

5.      Motivation

Group the students into four groups. The teacher told to the class to create a short poem entitled “MATH is Easy”, using the computer they will present their work to the class with the use of the Powerpoint. The group of the student who can create/make a beautiful essay and presentation can get extra points that serve as his/her recitation to the class.

6.      Lesson Proper

The study of circular function necessitates an understanding of the relationship between the degrees and radians and their corresponding conversions.

The formula for the circumference of the circle of r (radius)

r
= 3.1416 if there is no calculator 3.14 as the value of  can used.

Since the circumference of the circle is subtended by a central angle of 360^o, it follows that:

    ^o

If r= 180 is divided by

             radian = 180^o

                           

1 radian= 180^o

                                                                                      

The value or the equivalent of the degrees to radians

360^o= 2r                    60^o= r                                45^o=  r             

180^o= r                                3                                         4

90^o=   r                       30^o= r                            1^o=2   or

         3                              6                                               360^o   180^o

         To summarize conversion:

            To convert radians to degrees, multiply the given number of radians

                        by 180^o/.

 Example:

5 = 5  x 180^o   = 150^o

6        6      

            To convert degrees to radians, multiply the given number

                        by       .

       180

Example:

50^o= 50^o x        = 5

                  180^o        9

                                                                                                                                               

IV.               Generalization

1.      What is the difference between the radians and degrees?

2.      Who can summarize the conversion of radians to degrees, degrees to radians?

V.                 Evaluation

Convert the following to degree measure

1.     

4

2.      3

4

3.     

5

Convert to radians measure

4.      180^o

5.      75^o

VI.               Assignment

Write in ½ sheet of paper. Convert the following to radians or degree measures

1.      450^o

2.      200^o

3.      3

5

4.       

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