Lesson Plan_Direct Instruction

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LESSON PLAN

Unit of Education : Senior High School

Subject Matter : Mathematics

Grade/ Semester : X/ II

Meeting : 5th

Meeting

Standard of Competence : 5. Using the trigonometric ratio, function, equation,

and identity in problem solving

Basic Competence : 5.2. Designing a mathematical model of the problem

that relate to the trigonometric ratio, function,

equation, and identity

Indicator : Draw simple trigonometric function graphs

Time Allocation : 2 x 45 minutes

A. Learning ObjectivesAfter learning process, student are expected be able:

To determine trigonometric function value.

To draw simple trigonometric function graphs.

B. Lesson MaterialSimple Trigonometric Function Graph

The graph of function , for 0ox360o

The graph of function , for 0o

x360o


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The graph of function , for 0ox360o

C. Model, Approach, and Learning MethodLearning Model : Direct Instruction

Learning Approach : Contextual Teaching and Learning

Learning Method : Demostration, Guided learning, and assigment.

D. Learning Activities1. Opening Activities (Phase I: Clarify goals and establish set) : 10 minutes

Activities Duration

Teacher Student

Teacher opens the class meeting bygreetings and invited to pray.

Teacher checks the attendance list ofstudent.

Teacher explains the objectives ofinstructional in understandable

language.

Teacher motivates the students with

Greetings and pray. Whatch carefully their name. Watch carefully what should be done so

that learning objectives can be achieved

Students asked the previous materialthat has not been clearly

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explaining the importance of material

and helps simplify these issues in

daily life.

Aperception: Remind the comparativematerial on the trigonometry of a right

trianglee, extraordinary triangle, and

in various quadrant.

Inform the material or concepts thatwill be used and the activities to be

conducted during the learning

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2. Main Activities (includes of all main phases of learning model) : 75 minutes

Phase II:Demonstrate knowledge or skill: 40 minutes

Activities Duration

Teacher Student

Explains the procedure how to draw asine, cosine, and tangent function

graph using the table.

Exemplify how to draw a sine, cosine,and tangent function graph using the

table.

Designate one student to the front ofthe class to complement the values of

sine, cosine and tangent for

extraordinary angles.

Outlines the steps to draw to draw asine, cosine, and tangent function

graph using unit circle.

Exemplify how to draw to draw asine, cosine, and tangent function

graph using unit circle.

Explain the repeated terms that areconsidered difficult or poorly

understood by students

Watch carefully the explanation With confidence up to the front of the

class to fill the tables of the sine,

cosine, and tangent for angles

extraordinary

Record the main of explanation

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6

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Phase III:Provide guided practice: 10 minutes

Activities Duration


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Teacher Student

Give examples of questions related tohow to draw a function graph using

table and unit circle.

Guiding students in working anexample problem are given as

individualy.

Working on the examples given by theprocedure described.

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Phase IV: Check for understanding and provide feedback:15 minutes

Activities Duration

Teacher Student

Asked students to work exampleproblems given in class.

check whether the student hassuccessfully done a good job or not,

and providing feedback

volunteered to do the example problemsthat have been granted

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Phase V:Provide extended practice and transfer:10 minutes

Activities Duration

Teacher Student

Gives application problem to see thestudents' understanding.

Having students work on exercises inthe student worksheets and books

students.

Providing feedback on student work.

Doing the exercises properly. 2

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3. Closing Activities : 5 minutes

Activities Duration

Teacher Student

guide students to summarize thematerial that has been learned.

Gives homework to student Gives information about the next

material for the next meeting.

Close the meeting.

Record the tasks assigned. 21

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E. Source, Material, dan Tools (Media)

Source: Text Book, Worksheet, and Trigonometric Table

Materials/Tools: Proyektor, White board, ruler, compass, and grid book/paper

graph

Media: Power Point

F. Assesment

a.Performance Assessment

b. Product Assessment:

Individual assessment

Technique : Paper and pencil test

Instrument form : Essay test

Instrument:

1. Draw a graph of function of sinx, cosx, and tanxfor domains 90ox360o2. Sketch the graph the following functions on interval [180. -180]:

a. b.

G. Scoring and Answer KeyNO ANSWER SCORE TOTAL

SCORE

1.a The values off(x) for domains 90ox360

o.

F(x) 0o 30o 60o 90o 120o 150o 180o 210o 240o 270o 300o 330o 360o

Sinx

0 1/2 1 1/2 0 -1/2-

1/2-1

-

1/2-1/2 0

Cos

x1 1/2 1/2 0 -1/2

-

1/2-1

-

1/2-1/2 0 1/2 1/2 1

Tan

x0 1/3 - -

-

1/30 1/3 - -

-

1/30

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9 10

F(x) = sin x

From the table, we can see the point pairs of (x, f(x)) or (x,y). Further, the

pairs of the points are draw in Cartesius coordinat and connected by smooth

curve so that a graph of function , for 90ox360o is obtained.

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10


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F(x) = cos x


pairs of the points are draw in Cartesius coordinat and connected by

smooth curve so that a graph of function , for 90ox360o is

obtained.

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9

10

F(x) = tan x


pairs of the points are draw in Cartesius coordinat and connected by

smooth curve so that a graph of function , for 90ox360o is

obtained.

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9

10

-1,5

-1

-0,5

00,5

1

1,5

0 100 200 300 400

f(x) = sin x

-1,5

-1

-0,5

0

0,5

1

1,5

0 100 200 300 400

f(x) = cos x


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2.a The values off(x) for domains [-180,180].

F(x)-

180o

-

150o-

120o-90o

-

60o

-

30o0o 30o 60o 90o 120o 150o 180o

F(x+30)-

150

o-

120

o

-90o -60o-

30

o

0o 30o 60o 90o 120o 150o 180o 210o

sin

(x+30o)

1/2 1 1/2 0 1/2 1 1/2 0 -1/2

From the table, we can see the point pairs of (x, f(x)) or (x,y). Further, the pairs

of the points are draw in Cartesians coordinate and connected by smooth curve

so that a graph of function , for [-180,180] is obtained.

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2.b The values off(x) for domains [-180,180].

F(x)-

180o

-

150o-

120o-90o -60o

-

30o0o 30o 60o 90o 120o 150o 180o

F(x -

60)

-

240o

-

210o

-

180o

-

150o

-

120o

-

90o-

60o -30o

0o

30o

60o

90o

120o

Cos (x

- 60o)-

-

1/2-1

-

1/2- 0 1/2 1 1/2 1/2 0 -1/2

From the table, we can see the point pairs of (x, f(x)) or (x,y). Further, the pairs

of the points are draw in Cartesians coordinate and connected by smooth curve

so that a graph of function , for [-180,180] is obtained.

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-2

-1

0

1

2

0 100 200 300 400

f(x) = tan x

-1

-0,5

0

0,5

1

1,5

-200 -150 -100 -50 0 50 100 150 200 250

f(x) = sin (x + 300)


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TOTAL 80

Makassar, 30th November 2011

Known,

Lecturer Student

Prof. Dr. Nurdin Arsyad, M.Pd Noor Azizah

NIP: 19670424199203 1002 ID: 091104160

-1,5

-1

-0,5

0

0,5

1

1,5

-300 -250 -200 -150 -100 -50 0 50 100 150

f(x) = cos (x - 60o)

Lesson Plan_Direct Instruction

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