Let's Go Study Mathematics

Komunitas Blogger Universitas Sriwijaya

 

Rencana Pembelajaran

 

LESSON PLAN


                                          Units of education: Senior High School of Srijaya Negara
                                          Subjects: Mathematics
                                         Class / Semester: X / 2
                                         Material principal: Trigonometry
                                         Meeting: 19 until 22
                                         Methods: lectures, discussions, and assignments
                                        Allocation of time: 4x meeting (8x45 minutes)

1. Competency Standards: Using the comparison, functions, equations, and trigonometric identities to solve the problem
2. Basic Competence: perform algebraic manipulation in the calculation of technical issues relating to comparisons, function, trigonometric equations and identities.
3. subject matter
1.1 Trigonometric identities
To understand the trigonometric identity, consider the following equation:


a. a.

b.

c.

d. cotan x

e. cotan x

f.sin2 x +cos2 x = 1


1.2 the area of triangle

L=


With a = length of the base and t = high
 a length of three sides if known
L =           with 
b. if known length of two sides and a large corner flanked both sides of the

L =

=

=


c. if known to a side and two angles that flank:
L = a2

=b2

=c2

4. indicator
• Use trigonometric identities to solve the problem
• Using a trigonometric ratio to find area of triangle
• Resolving issues related to the comparison, functions, trigonometric equations and identities
5. goal
• Students can use algebraic manipulation of trigonometric identities
• Students can use the comparison in the search area of the triangle trigonometry
• Students can Resolving problems associated with comparisons, function, trigonometric equations and identities
6.strategi learning

Activity

Time/ secon

Aspect life skill that is developed


1. preliminary
-Motivation: the importance of this material to use compare, functions, equations and trigonometric identities to solve the problem.
-Prerequisite: understanding of angles and triangles.
      II. core activities:
-Teacher: describes the algebraic manipulation in the calculation of technical issues relating to compare, functions, equations and identities trigonometry
-Students:-notice
           -Active discussion
      III cover:
            -Make summary
            -competency test




20

 

 

 

 

 

 

280

 

 

 

 

 

 

60

Personal and academic


 

 

 

 

Personal and academic


 

 

 

 

Personal and academic



7. Instructional media:
Calculator, ruler

8. rating
a. type of bill: Quis
b.tindak information: - students declared successful if the level achieved 65% or more
             - Provide remedial programs for students whose achievement level is less than 65%
              -Provide enrichment programs for students whose achievement levels of more than 65%
9. Evaluation
Problem:
. prove the following trigonometric identities :

1.

Answer:

1.

So proven  

 

2. 2 csc2 - csc4 α =1-cot4 α

Answer:

2 csc2 - csc4 α  = csc2 α(2-csc2 α)

                            =(1 + cot2 α)(2-(1 + cot2 α))

                =1-cot4 α

So proven 2 csc2 - csc4 α =1-cot4 α

 

3.  about: determine area, if known a = 7, b = 13, c = 1350
Answer: from the formula L  =

                        L = 0

                                         =32,17

So vast is 32.17 unit area triangles

4. about: determine area, if known a = 6, b = 450, c = 600
Answer:
With the sine rule is obtained:
           A = 1800 - (B + C)
= 1800 - (450 +600)
               = 750

The rules of sinus acquition :

           A = 1800-(B+C)

                   =1800 –(450 +600)

                  =750

Use the formula  L = b2

                              = 62 sin 750sin 600/sin 450

                              =21,29

 

10. source readings:
-X grade math textbooks
Other relevant books
-LKS




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