Syllabus X

8/2/2019 Syllabus X

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EXAMPLE OF SYLLABUS AND EVALUATION SYSTEMS

Name of School : Senior High School

Subject : Mathematics

Class : X

Semester : 1 (first)

Standard Competency : 1. Using the operations, properties and algebraic manipulation in problem solving which related with power, root, logarithm,

quadratic equations, quadratic functions, linear equations system, one variable inequation, mathematics logic.

Basic

Competency

Main Material Experiences in Learning Indicator

Evaluation Time

Allocation

Referen

Materi

MediKind of

Task

Form of

Instrument

Example of

Instrument

1.1. Using some

properties

and roles of

power, rootand

logarithm

in problem

solving.

• Form of

power, root,and

logarithm.

• Define power,

root and logarithm (lifeskill, finding

information, process

information, Problem

solving, and findingconclusion)

• Describe power,

root, logarithm and the

relation of each others.(life skill, aware of self

existence, aware of self

potential, findinginformation, process

information, variable

identification, Problem

solving, oralcommunication,

collaboration).

• Change the

negative power to positive power

and the opposite.

• Qu

iz

• Da

ily tests.

• Ind

ividuall

y task

• Gr

oup task

• Brief

answer

• Multiple

choice.

• Objective

analysis

• Brief

analysis.

See

appendix

2 x 45 Modu

___________________________________________________________________________ Director of Intermediate Public Education, National Education Department

8/2/2019 Syllabus X


Basic

Competency

Main Material Experiences in Learning Indicator Evaluation TimeAllocation ReferenMateri

Medi

Kind of

Task

Form of

Instrument

Example of

Instrument

1.2. Doing

algebraic

manipulation

for technicalcomputation

which related

with power,root and

logarithm.

• Form of power, root,

and logarithm.

• Applying the ruleof power (life skill,

aware of self

existence, aware of

self potential, findinginformation, process

information, finding

conclusion, variable

identification, problem solving)

• Applying the rule

• Change theform of root to

power and the

opposite.

• Doing thealgebraic

operation in the

form of power

and root.

• Simplify the

algebraic form

• Quiz

• Da

ily tests.

• Ind

ividuall

y task

• Brief answer

• Multiple

choice.

• Objective

analysis

• Brief

analysis.

See

appendix

10 x 45 • Mod

• Com

r

• LCDOHP


8/2/2019 Syllabus X


of root (life skill,

aware of self existence, aware of

self potential, finding

information, processinformation, finding

conclusion, variable

identification,Problem solving, oralcommunication,

collaboration)

• Applying the rule

of logarithm (life

skill, aware of self

existence, aware of self potential, finding


information, finding

conclusion, variableidentification,

Problem solving, oralcommunication,

collaboration).

• Present the

discussion result

about logarithmmaterial in the front

of the class (life skill,

aware of self

existence, aware of self potential, and

oral communication).

with rat ional

power.

• Change theform of power to

logarithm form

and the opposite.

• Doing the

algebraicoperation in the

logarithm form.

• Simplify the

algebraic formwhich contain

logarithm

• Proving the

simple propertiesof logari thm

form.

• Show the

group/individually

activity and make

collaboration.

• Group

task


8/2/2019 Syllabus X


Basic Competency Main

Material

Experiences in

Learning

Indicator

Evaluation Time

Allocation

Reference

Material

MediaKind of

Task

Form of

Instrument

Example of

Instrument


8/2/2019 Syllabus X


1.3. Using some

propertiesand rules of

root of

quadraticequation,

discriminant

symmetryaxis and thetop point in

problem

solving.

• Quadr

atic

equationsand

functions.

• Compute the

root of quadratic

equation byfactorization and

abc formula. (life


existence, aware of

self potential,finding

information,

processinformation,

problem analysis,

make relation

between somevariables).

• Solve some

problems whichrelated by

discriminant of

quadratic equation(life skill, aware of self existence,

aware of self

potential, finding


information, make

relation between

some variables).

• Derive theformula of

summation and

• Finding the

root of quadratic


abc formula.

• Finding the

sum and product of

root quadraticequation.

• Qu

iz

• Daily tests.

• Ind

ividuall

y task

• Gr oup task

• Brief

answer

• Multiplechoice.

• Objective

analysis

• Brief

analysis.

See

appendix

4 x 45 Module


8/2/2019 Syllabus X


product of root of

quadratic equationand use it in some

problems (life skill,


self potential,

findinginformation, process

information, make

relation between

some variables).

• Discussion

about constructionof the new

quadratic equation

(life skill, aware of

self existence,aware of self

potential, findinginformation,

processinformation,

collaboration and

findingconclusion).

Evaluation


8/2/2019 Syllabus X



Material

Experiences in Learning Indicator Time

Allocation

Reference

Material

Media

Kind of

Task

Form of

Instrument

Example of

Instrument

1.4. Doing

algebraic

manipulationin technical

computationwhich related

by quadraticequations and

functions.

• Quadratic

equations

and

functions.

• Identification somecomponent of the

graph of quadratic

function. (life skill,

aware of self existence,aware of self potential,

finding information,

process information,

problem analysis, makerelation between some

variables).

• Doing algebraicmanipulation about

root of quadratic

equation by completing

the quadratic form (lifeskill, aware of self

existence, aware of self potential, finding

information, processinformation, make

relation between some

variables).

• Finding theroot of quadratic

equation by

factorization and

abc formula.

• Finding the

sum and product of root quadrat ic

equation.

• Quiz

• D

aily

tests.• I

ndivid

ually

task

• Group

task

• Brief answer

• Multiple

choice.

• Objectiveanalysis

• Brief

analysis.

See

appendix

4 x 45 Module


Material

Experiences in Learning Indicator

Evaluation Time

Allocation

Referen

Materi

Medi

Kind of

Task

Form of

Instrument

Example of

Instrument


8/2/2019 Syllabus X


1.5. Constructing

themathematics

model which

related withquadratic

equations and

functions,solve themodel and

interpret

• Quadr

atic

equationsand

functions.

• Analysis and

finding some

component of quadratic function

with completing the

quadratic form and

construct a quadratic

function (life skill,aware of self

existence, aware of

self potential, findinginformation, process

information, make

relation between

some variables).

• Appling equation

and quadraticfunction concept in

daily activity (life

skill, aware of self existence, aware of self potential, finding


information, make

relation betweensome variables).

• Finding the

root of quadratic


abc formula.

• Finding the

sum and product of root quadrat ic

equation.

• Qu

iz

• Daily tests.

• Ind

ividuall

y task

• Gr oup task

• Brief

answer

• Multiplechoice.

• Objective

analysis

• Brief

analysis.

See

appendix

4 x 45 Modu

Basic

Competency

Main

Material


Evaluation Time

Allocation

Reference

Material

Media

Kind of

Task

Form of

Instrument

Example of

Instrument


8/2/2019 Syllabus X


1.6. Using the

propertiesand rules

of linear

equationssystem in

problem

solving.

• Quadr

atic and

linear equation

system

• Finding the solution

of two variable linear

equation system (lifeskill, aware of self


potential, finding


information, makerelation between some

variables).

• Finding the

solution of two

variable linear equation system

• Qu

iz

• Daily tests.

• Ind

ividuall

y task

• Gr oup task

• Brief

answer

• Multiplechoice.

• Objective

analysis

• Brief

analysis.

See appendix 4 x 45 Module

1.7. Doing

algebraicmanipulat

ion in

technical

computation which

related

with

linear

equationsystem.

• Quadr atic and

linear

equation

system

• Discussing in groupto solve some problems

in linear equation

system with three

variable, quadratic andlinear equation system

with two variable and

quadratic equation

system with twovariable (life skill,


finding information, process information,

make relation between

some variables,

collaboration andfinding conclusion).

• Finding thesolution of linear

equation system

with three

variable.

• Quiz

• Daily tests.

• Ind

ividually task

• Gr oup task

• Brief answer

• Multiplechoice.

• Objective

analysis

• Brief

analysis.


Basic Competency

Main Material Experiences in

Learning

Indicator

Evaluation Time

Allocation

Reference

Material

MediaKind of

Task

Form of

Instrument

Example of

Instrument


8/2/2019 Syllabus X


1.8. Constructing

themathematical

model which

related withlinear

equation

system, solvethe modeland interpret

the result.

• Quadrati

c and linear

equationsystem

• Applying the

concept of

quadratic andlinear equation

system in daily

activity (life skill,

aware of self

existence, awareof self potential,

finding


information,

make relation

between somevariables,

collaboration and

finding

conclusion).

• Finding the

solution of linear

equation systemwith three

variable.

• Qu

iz

• Daily tests.

• Ind

ividuall

y task

• Gr oup task

• Brief

answer

• Multiplechoice.

• Objective

analysis

• Brief

analysis.


Basic Competency

Main Material Experiences in

Learning

Indicator

Evaluation Time

Allocation

Reference

Material

Media

Kind of

Task

Form of

Instrument

Example of

Instrument


8/2/2019 Syllabus X


1.9. Using the

propertiesand rules of

one variable

solving.

• Inequati

on.• Finding a set

of all solution of

one variableinequation which

contain linear and

quadratic by

looking for some

information frominteractive media

and library (life

skill, aware of self existence,

aware of self

potential, finding


information,

make relation

between somevariables).

• Solving some problems whichrelate with one

variable

inequation and

contain linear andquadratic

equation in the

way by

discussion oneach groups. (life

skill, aware of

self existence,

• Finding the

solution of

inequation whichcontain the form

of one variable

linear and

quadratic.

•Finding the

solution of

fractionalinequation which

contain the form

of l inear and

quadratic.

• Finding the

solution of inequation which

contain the form

of linear root.

• Qu

iz

• Daily tests.

• Ind

ividuall

y task

• Gr oup task

• Brief

answer

• Multiplechoice.

• Objective

analysis

• Brief

analysis.



8/2/2019 Syllabus X


aware of self


process

information,make relation

between some

variables).

1.10. Constructing

the

mathematicsmodel which

relate with

one variable

inequation ,solve it and

interpret the

result.

• Quadratic and linear

equation

system

• Applying theconcept of

inequation in

daily life. (life


aware of self

potential, finding


information,

make relation between somevariables,

collaboration and

findingconclusion).

• Finding thesolution of linear

equation system

with three

variable.

• Quiz

• Da

ily tests.

• Ind

ividually task

• Gr

oup task

• Brief answer

• Multiple

choice.

• Objective

analysis

• Brief

analysis.


Basic Competency Main Material Indicator

Evaluation Time

Allocation

Reference

Material


8/2/2019 Syllabus X


Experiences in

Learning

MediaKind of Task Form of

Instrument

Example of

Instrument

1.11. Using the

truth value of

composite

statement animplication in

problemsolving

• Mathem

atical logic.• Using learning

media in order tofind the truth

value of a

statement, to find

the negation of astatement and to

find the truth

value of

disjunction,conjunction,

implication and

biimplication

statements. (lifeskill, finding

information,

process

information,

make relation between some

variables, findingconclusion).

• By discussion,

it can solve some

problems aboutthe truth value of

a statement,

disjunction,

conjunction,implication,

biimplication and

• Defining

declarative andnon declarative

sentences.

• Finding the

truth value of statement and its

negation.

• Finding the

truth value of

disjunction,conjunction and

its negation.

• Finding thetruth value of

implication,

converse,

inverse,

contrapositionand its negation.

• Group and

individually task.

• Quiz

• Dailytests.

• Individu

ally task

• Grouptask

• Brief

answer

• Multiple

choice.

• Objective

analysis• Brief

analysis.



8/2/2019 Syllabus X


its negation. (life


aware of self


process

information,

make relation between some

variables,

collaboration,

communicationin oral and

writing, finding

conclusion).

• Defining the

quantifiers

sentences. (lifeskill, aware of

self existence,aware of self


process

information,finding

conclusion).

Evaluation


8/2/2019 Syllabus X


Basic Competency Main Material Experiences in

Learning

Indicator Time

Allocation

References

Material/

Media

Kind of

Task

Form of

Instrument

Example of

Instrument

1.12. Using some

properties

and logical principle to

find

conclusion

and to provesome

properties in

mathematics.

• Mathematical logic.

• Finding thenegation of a

quantifiers

statements. (life

skill, findinginformation,

analyzing

information,

processinformation, make

relation between

some variables).

• Making

conclusion a

syllogism, modus

ponen, and modustallens statement.

(life skill, aware of self existence,

aware of self potential, finding

information,

process

information, makerelation between

some variables and

finding

conclusion).

• Quiz

• Da

ily tests.

•Ind

ividually task

• Gr

oup task

• Brief answer

• Multiple

choice.

•Objectiveanalysis

• Brief

analysis.

See

appendix

8 x 45 Module


8/2/2019 Syllabus X


• Proving some

mathematical

properties bydirectly proof,

indirectly proof and

mathematical

induction. (lifeskill, aware of self

existence, aware of

self potential,

findinginformation,

process

information, make

relation betweensome variables and

findingconclusion).


8/2/2019 Syllabus X




Class : X

Semester : 2 (second)

Standard Competency : 2. Using comparison, function, equation and trigonometry identity in problem solving.


Material


Evaluation Time

Allocation

Refer

Mate

Me

Kind of

Task

Form of

Instrument

Example of

Instrument

2.1. Using some

properties andregulation of

trigonometry,

sinus formula

and cosineformula in

problem

solving

2.2. Doingalgebraic

manipulation intechnical

computation

which related

to trigonometryfunction.

Trigonometry • Comparing unit of

angle between degree

and radian (life skill,


make relation between

some variables, finding

information and process information).

• Finding the value

of sinus, cosine and

tangent for some particularly angles.

(life skill, aware of self

existence, aware of self potential, make relation

between some

variables, finding

information and process information).

• Finding the

value of sinus,

cosine and tangent

for some particularly angles.

• Finding the value

of sinus, cosine

and tangent for angle in some

quadrant.

• Qu

iz

• Daily tests.

• Gr oup task

• Brief

answer

• Multiplechoice.

• Objectiveanalysis

• Brief

analysis.

See appendix 12 x 45 Mod

Evaluation ___________________________________________________________________________ Director of Intermediate Public Education, National Education Department

8/2/2019 Syllabus X



Material

Experiences in Learning Indicator Time

Allocation

Refer

Mate

Me

Kind of

Task

Form of

Instrument

Example of

Instrument

2.3. Design

mathematics

model thatrelated to

trigonometry

function, sinus

formula andcosine formula,

Solving the

model and

interpreting theresult.

Trigonometry • Constructing anddrawing the graph of

sinus, cosine and

tangent functions (life

skill, make relation between some

variables and process

information).

• Proving some

trigonometry identities.

(life skill, identification

variable, make relation between some

variables, finding


information and makeconclusion).

•Applying

trigonometry concepts

in daily activity. (life

skill, identification

variable, make relation between some

variables, finding

information, processinformation and make

conclusion).

• Computingthe area of triangle

which the

components are

given.

• Quiz

• Da

ily tests.

•

Gr oup task

• Brief answer

• Multiple

choice.

•

Objectiveanalysis

• Brief

analysis.



8/2/2019 Syllabus X


• Discussion to

solve exercises whichrelated to

trigonometry

functions. (life skill,


self potential, finding


information, makerelation between

some variables and

finding conclusion).



8/2/2019 Syllabus X



Class : X

Semester : 2 (second)

Standard Competency : 3. Using Characteristics and rules of geometry in determine point position, line and plane; distance; angle and volume.


Material


Evaluation Time

Allocation

Refer

Mate

Me

Kind of

Task

Form of

Instrument

Example of

Instrument

3.1. Understand the

component,

draw, calculatethe volume of

space things.

Three

dimensional

space

• Identification thecomponent of space

things. (life skill, make

relation between some

variables, findinginformation, process

information and solve

the problem).

• Calculate,

determine and

manipulation of space

things volume. (life

skill, make relation between some

variables, finding

information, processinformation and solve

the problem).

• Determine the position of point,

line and plane in

space.

• Determine the

volume of space

things, cube, bar,

pyramid, prism,

cone, cylinder and ball.

• Quiz

• Daily tests.

• Gr

oup task

• Brief answer

• Objective analysis

• Brief

analysis.

See appendix 18x 45 Mod


8/2/2019 Syllabus X



Material


Evaluation Time

Allocation

Refer

Mate

MeKind of

Task

Form of

Instrument

Example of

Instrument

3.2. Using space

abstraction to

draw and

calculatedistance and

angle.

Three

dimensional

space

• Draw and

calculate the elementsof space things by

using audio visual

media (life skill,

identificationvariables, finding


information and solve

problem).

• Discussion in

group to solve

exercises which relatedto space things. (life



potential, make relation

between somevariables, finding


information solve problem, oral

communication and

collaboration ).

• Qu

iz

• Da

ily tests.

•

Gr oup task

• Brief

answer

• Multiple

choice.

•

Objectiveanalysis

• Brief analysis.


___________________________________________________________________________ Director of Intermediate Public Education, National Education Department 7

Syllabus X

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