Syllabus Trigon

8/3/2019 Syllabus Trigon

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Syllabus Mathematics Senior High School X Grade Semester II 8

angles. from extraordianry angles in

problem solving. Material/Tool :

Laptop

LCDOHP

Trigonometricratios of anangles in allquadrants.

Reduce the trigonometric ratioon cartesian domain.

Calculating trigonometricratios values in cartesian

domain.

Investigate the relationshipbetween trigonometric ratios in

various quadrant.

Determining trigonometricratios values in various

quadrant.

Determinetrigonometric ratiosvalues of an angle inall quadrants.

IndividualTask

Essay We have . Determine cos a and

tan a2 x 45 Source:

Text Book

Other refference book

Material/Tool:

Laptop

LCDOHP - OHP

Trigonometricratios of righttriangle

The value oftrigonometricratios from

extraordinaryangles.

Trigonometric

ratios of anangles in allquadrants.

Do repitition contain materialthat relate to the trigonometricratios of right triangle,

trigonometric ratios valuesfrom extraordinary angles, andtrigonometric ratios of an angle

in all quadrants.

Solve the questionabout trigonometricratios of right

triangle,trigonometric ratiosvalues from

extraordinary angles,and trigonometricratios of an angle in

all quadrants.

Oral Test Essay Determine thevalue of:a. Sin 150

b. Cos 240c. Tan 315

2 x 45Source:

Text Book


Material/Tool:

Laptop

LCDOHP - OHP

5.2 Designing a

mathematicalmodel of theproblem thatrelate to the

trigonometricratio, function,equation, and

identity

Simpletrigonometricfunction graph

Determe trigonometric functionvalues.

Draw simple trigonometric

function graph

Draw simpletrigonometricfunction graph

Paper andPencil Test

EssayDraw a graph of function of sinx, cosx,

and tanx for domains 90ox360o 2 x 45

Source:

Text Book


Trigonometric Table

Material/Tool:

Laptop

LCDOHP

Simple

trigonometricequation.

Determine amoun of an angle

with known sine, cosine, andmeasure value.

Determine the solve of simple

trigonometric equation.

Solve the simple

trigonometricequation.

IndividualTask

Essay

Determine value ofx that statisifies

trigonometric equation

2 x 45

Source:

Text Book


Material/Tool:

Laptop

LCD


3/5


OHP

Trigonometric

Identity

Use Trigonometric identity inproblem solving.

Formulate the relatioshipbetween trigonometric ratios.

Prove trigonometric identityby using the relatioshipbetween trigonometric ratios.

Prove simpletrigonometric

identuty.

Individual

task andIndividual

Percentation

Essay1. Prove the following identity:

a.

b.

c.

2 x 45Source:

Text Book


Material/Tool:Laptop

LCDOHP

The law of sineand cosine

Identify the problem that relateto side and angle calculation.

Formulate the law of sine andcosine.

Use the law of sine and cosineto solve the problem that relate

to side and angle calculation.

Solve the problemby using the law of

sine and cosine.

Group Task EssayA boat is sailing from portA as far as 18

km to port B with the heading 0f 030o.

From portB, the boat is sailing to port C

with the heading of 150o. Then, return to

the starting place as far as km. The

heading of the boat is calculated from

the port C to port A and the distance of

BCis....., respectively.

2 x 45Source:

Text Book


Material/Tool:

Laptop

LCDOHP

TrianglesArea

Identify a problem in

calculation of triangles area.

Reduce triangles area formula.

Use triangles are formula to

solve a problem

Calculate area of

triangle with knowcomponents.

Group Task Essay

If triangleABCis known to have the

length ofAC= 15 cm,AB = 16 cm, andthe angle ofA = 50o. Calculate the areaof the triangleABC!

2 x 45

Source:

Text Book


Material/Tool:

Laptop

LCDOHP

Trigonometricfunction and

its graph,simpletrigonometric

equation,trigonometricidentity, the

law of sine andcosine, andformulation of

triangles area.

Do repition about trigonometricfunction and its graph, simple

trigonometric equation,trigonometric identity, the lawof sine and cosine, and

formulation of triangles area.

Solve the problemthat relate to

trigonometricfunction and itsgraph, simple

trigonometricequation,trigonometric

identity, the law ofsine and cosine, and

formulation of

triangles area.

Quiz Essay Suppose an equilateral triangle has the

side length ofp. Prove that the

triangle area is

area unit! ABCis a scalene triangle with the

angles , and thelength ofAB = 20 cm. The point D islocated on the sideAB in a way thatthe line CD is the altitude line of the

triangle. Determine the length ofADand CD!

2 x 45Source:

Text Book


Material/Tool:

Laptop

LCD

OHP


4/5


5.3 Solve themathematical

model of theproblems thatrelate to ratios,

functions,equations, andtrigonometricidentities, and

itsinterpretation.

Usingtrigonometric

ratio.

Identify the problems thatrelate to to ratios, functions,equations, and trigonometric

identities, and its interpretation.

Determine the park of problem

that is designed as a variablewith trigonometric expressions.

Identify the problemsthat relate to to ratios,functions, equations,

and trigonometricidentities, and its

interpretation.

IndividualTask

Essay A saling boat left the harbor to the eastwith a distance of 20 miles. Then turn inthe direction 150o from the north with a

distance of 15 miles. The distance a boatthe harbor is....

2 x 45Source:

Text Book


Material/Tool:

LaptopLCD

OHP

Creat a mathematical model of

the problems that relate to toratios, functions, equations,and trigonometric identities,

and its interpretation.

Creat a

mathematical modelof the problems thatrelate to to ratios,

functions, equations,and t rigonometric

identities, and itsinterpretation.

Group Task

and groupPercentation

Essay The peak of the tower can be seen

from P with the angle 60o and from Qwith the angle 30o. If the distance ofPQ = 100 m, the altitude of the tower

is....

2 x 45

Source:

Text Book


Material/Tool:

Laptop

LCD

OHP

Solve a mathematical modelthe problems that relate to toratios, functions, equations,

and trigonometric identities,and its interpretation.

Determine thesolving of theproblems that relate

to to ratios,

functions, equations,and t rigonometric


IndividualTask

EssayA bridge is stretched out across a riverand forming an angle 300 towards theriver. If the river width is 30 m and both

of the bridges edge is on the edges of

the river, determine the length of thebridge.

2 x 45Source:

Text Book


Material/Tool:Laptop

LCD

OHP

Interprate the result of problem

solving of the problems thatrelate to to ratios, functions,equations, and trigonometric


Interprate the result

of problem solvingof the problems thatrelate to to ratios,

functions, equations,and trigonometricidentities, and its

interpretation.

Group Task Essay

An observer (for example P) is

observing the top of tree with theelevation angle of 60o. Other observer(for example Q) is observing the top

tghe same tree too, witth the elevationangle of 75o. The altitude of both of the

observers is similar, which is 160 cm. Ifthe distance ofP and Q are 6 m,determine the altitude of the tree from

the ground.

2 x 45

Source:

Text Book


Material/Tool:

Laptop

LCD

OHP

Examination Trigonometric

ratios andfunctions

Do examination that contains

the material abouttrigonometric ratios andfunctions.

Solve theexamination that

contains the materialabout trigonometricratios and functions.

TestMultipleChoice

Essay

1. Suppose we have , for0 < x < . The qualifying value is

(are)..a. : 2/3 b. 1/3

c. 1/6 ; 5/6 d. 5/6 e. 2/3

2. Known triangleABCis anequilateral triangle with side length

10 cm, determine the area oftriangleABC!

2 x 45Source:

Text Book


Material/Tool:

Laptop

LCD

OHP


5/5


Makkasar, 30th

of November 2011

Known,

Lecturer Student

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

NIP: 19670424199203 1002 ID: 091104160

Documents

Syllabus Trigon