sylabus (kelas x) rev (mht)
TRANSCRIPT
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8/6/2019 Sylabus (Kelas X) Rev (MHT)
1/21
PEMERINTAH PROPINSI DAERAH KHUSUS IBUKOTA JAKARTA
DINAS PENDIDIKAN
SEKOLAH BERTARAF INTERNASIONAL
SYLLABUS OF SBI CURRICULUM
School : Senior HighSubject : MATHEMATICSGrade/Program : XSemester : 1
COMPETENCE STANDARD1. Understand number systems and how to use them in applied problems or real-life situation
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OFLEARNING
ASSESMENT TIME RESOURSES
1.1 Know naturalnumbers,integers, primenumbers,common factorsand multiples,rational andirrationalnumbers;describe
sequences,patterns usingwords and nthterm.
Using : naturalnumbers, integers,prime numbers,
Using : common
factors and multiples,rational and irrationalnumbers, realnumbers, numbersequences, recognize
patterns in sequnces Using :Language,
notation and VennDiagrams to describesets and representrelationships betweensets
Number, setnotation andlangujage
Identify a number from adescription of itsproperties, for example,which numbers than 50has 3 and 5 as a factorsand is a multiple of 9
Investigate Goldbachsconjecture
Square tables are placedin a row so that 6 peoplecan sit around 2 tables, 8people can sit around 3tables, and so on. Howmany people can sitaround n tables?
Quiz 4 x 45 Self-made modul
www.cie.org.uk.
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8/6/2019 Sylabus (Kelas X) Rev (MHT)
2/21
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8/6/2019 Sylabus (Kelas X) Rev (MHT)
3/21
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OFLEARNING
ASSESMENT TIME RESOURSES
2.2. Work out
algebraic
operations relatesto indices,surdsand logarithm
Simplify algebraic
expresions involving
indices, surds andlogarithm
Prove simple
properties aboutindices, surds andlogarithm
Use concepts of indices,
surds and logarithm to solve
problems.
Prove about simpleproperties ofindices,surds andlogarithm
Technique :
I
ndividual work G
roup work
Exam
Instrument:
Quiz
Writtentest :Multiple choiceand essay
4 x45Resourses
MathBook by
Karren M Self-
made modul
CDe-dukasi.net
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8/6/2019 Sylabus (Kelas X) Rev (MHT)
4/21
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8/6/2019 Sylabus (Kelas X) Rev (MHT)
5/21
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OF LEARNING ASSESMENT TIME RESOURSES
symmetry and vertex ofquadratic function graphsand coefficients of quadratic
functions. Determine axis of symmetry
and vertex of quadraticfunction graphs usingformulae of the functions.
Draw graphs of quadratic
function using result offunction formulae analys
Identify positive definit and
negative definit of quadraticfunction based on graph
Draw graph of simplealgebraic functions usingrelations between variablevalue and function value
3.3. Using properties
and rules ofquadraticequations andinequalities
Determine roots ofquadratic equations
Find the solutions ofquadratic inequalities
Quadraticequation andinequalitieso Solution of
quadraticequations
o Solution of
quadraticinequalities
Find the roots of quadratic
equation by factorise
Find the roots of quadratic
equation by formulae
Find the solution of quadraticinequalities.
Find the meaning of
geometrice of quadraticequation solutions andinequalities solutions byusing graph quadraticequations
Describe the meaning of
geometrice of quadraticequation and quadraticinequalities solutions
Technique :
Individual work
Group work
Exam
Instrument:
Quiz
Writtentest :Multiple
choiceand essay
4 x45Resourses
MathBook byKarren M
Self-
made modul
CDe-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
6/21
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OF LEARNING ASSESMENT TIME RESOURSES
Use formulae of sum
and product of roots ofthe equations.
formulae ofsum and productof roots of the
quadraticequations.
Compute sum and product of
roots of quadratic equationsolutions
Determine the relationshipsbetween sum and product ofroots with coefisient ofquadratic equations
Conclude the relationships
between sum and product ofroots with the coeficient ofquadratic equations.
Proving formulae of sum
and product of quadraticequation roots.
Use the formulae of sum and
product of quadratic equationroots in computing
Technique :
I
ndividual work G
roup work
Exam
Instrument:
Quiz
Writtentest :Multiple
choiceand essay
4 x45Resourses
MathBook by
Karren M Self-
made modul
CDe-dukasi.net
Distinguish kind ofquadratic equation roots
Kinds ofquadratic equationroots
Distinguish kind of quadraticequation roots throughexamples
Investigate relation between
kind of roots of quadraticequation and discriminantvalue.
Conclude relation between
kinds of quadratic equation
roots and discriminant value.
Analyse kind of roots of
quadratic equations.
Technique :
Individual work
Group work
Exam
Instrument:
Quiz Written
test :Multiple
choiceand essay
2 x45Resourses
MathBook byKarren M
Self-made modul
CDe-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
7/21
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OF LEARNING ASSESMENT TIME RESOURSES
3.4. Make algebraicmanipulation in
computing relatesto equation andquadraticinequalities
Make quadratic
equation whose itsroots is given.
Determinesolutions of equationsthat can be changed tobe quadratic equationand inequalities
Make
quadratic equationwhose its roots isgiven
Solution ofother equationinvolvingquadraticsequation.
Make quadratic
equation whose its roots isgiven
Make quadratic equationwhose the roots related withother quadratic equations.
Identify equations that can
be changed in quadraticequation.
Solve equations thatcan be changed in quadraticequation or quadraticinequalities.
Technique :
I
ndividual work G
roup work
Exam
Instrument:
Quiz
Writtentest :Multiple
choiceand essay
4 x45Resourses
MathBook by
Karren M Self-
made modul
CDe-dukasi.net
3.5. Design model ofmath of problemsrelates toequation andquadraticinequalities.
Design math modelrelated to mathproblems, other subjector daily problemsrelates to equation orquadratic function.
Usingequations andquadratic functionsin solvingproblems.
Identification daily problemsrelated to equations andquadratic functions.
Distinguish math model ofmath problems, otherssubject or daily living relatesto equation or quadraticfunctions.
Technique :
Individual work
Group work
Exam
Instrument: Quiz
Writtentest :Multiple
choiceand essay
4 x45Resourses
MathBook byKarren M
Self-made modul
CDe-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
8/21
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OF LEARNING ASSESMENT TIME RESOURSES
3.6. Solve math modelof problemsrelate to
equations andquadraticfunctions and itsinterpretations
Solve math modelof problems relates toequations and quadratic
functions and itsinterpretations
Interpret solutionsof math problems, othersubject or daily livingproblems relate toequation or quadraticfunctions.
Applyequation andquadratic function
in solvingproblems.
Solve math model ofmath problems, other subjector daily living relates to
equation or quadraticfunctions.
Interpret solutions ofmath problems, other subjector daily living problems relateto equation or quadraticfunctions.
Technique :
I
ndividual work G
roup work
Exam
Instrument:
Quiz
Writtentest :Multiple
choiceand essay
4 x45Resourses
MathBook by
Karren M Self-
made modul
CDe-dukasi.net
COMPETENCE STANDARD :
4. Solve problems involving linear equations system and inequalities of one unknown variable
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8/6/2019 Sylabus (Kelas X) Rev (MHT)
9/21
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OF LEARNING ASSESMENT TIME RESOURSES
4.1. Solve linearequation systemsand mixed
equation systemsand quadratic intwo variables
Find the solution of two
variables linear equationsystem.
Equation andinequalities systems
Linear equation
system in twovariables
Linear equationsystem in threevariables
Identify steps of solvinglinear equation systems in
two variables. Use linear equation systems
to solve problems
Technique :
I
ndividual work G
roup work
Exam
Instrument:
Quiz
Writtentest :Multiple choiceand essay
2 x45Resourses
MathBook by
Karren M Self-
made modul
CDe-dukasi.net
Determine solutions of
linear equation systems
in three variables.
Identify steps of solvinglinear equation systems in
three variables Use linear equation systems
in three variables to solveproblems
4 x 45
Find the solution of linearmixed equation systemand quadratic in twovariables
Identify steps of solutions
linear mixed equationsystems and quadratic in twovariables.
Use linear miixed equationsystems and quadratic in twovariables to solve problems
4 x 45
4.4. Design math
model of problemsrelate to liniearequation systems.
Identify problems related
to linear equationsystems.
Make math model
related to linear equationsystemst
Apply linearequation systems intwo and threevariables
Identify daily problems
related to linear equationsystems
Conclude math problems of
math problems,other subjector daily living relate linearequation systems
2 x 45
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8/6/2019 Sylabus (Kelas X) Rev (MHT)
10/21
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OF LEARNING ASSESMENT TIME RESOURSES
4.5. Solve math model
relate to linierequation system
and theinterpretation
Find the solution of math
model related to linierequation system
Interpret the solution setof linier equation system
Apply linier
equation system intwo and three
variables
Solve math model of math
problems , other subjectproblems or daily living
relate to linier equationsystem.
Interpret solution of math
problems , other subjectproblems or daily livingproblems relate to linierequation system.
Technique :
I
ndividual work G
roup work
Exam
Instrument:
Quiz
Writtentest :Multiple choiceand essay
4 x45Resourses
MathBook by
Karren M Self-
made modul
CDe-dukasi.net
4.6. Determine onevariable rational,irrational and
absolut
inequalities
Find the solution ofabsolute equation
Find the solution ofirational equation
Find the solution ofone variable rationalinequalities
Find the solution of
one variable irrationalinequalities
Find the solution ofone variable absoluteinequalities
Find the solution of
one variable absoluteinequalities
rational inequalities eqution and
inequalities ofirrational
eqution andinequalities ofabsolute
Using one variableinequalities to solveproblems
Solutions of one variable
irrational and absoluteequation
Solutions of one variable
rational, irrational andabsolute inequalities
Technique :
Individualwork
Group work
Exam
Instrument:
Quiz
Written
test :Multiplechoice
and essay
4 x45Resourses Math
Book byKarren M
Self-
made modul
CD
e-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
11/21
BASICCOMPETENCE
INDICATORLEARNINGMATERIAL
ACTIVITY OF LEARNING ASSESMENT TIME RESOURSES
4.7. Design math
model ofproblems relate to
one variableinequalities
Identification problemsinvolving one variableinequalities
Design math model ofproblems relate to onevariable inequalities
Applying one
variable inequalitiesin algebraic
fractions.
Identification problems related
to one variable inequalities.
Formulate math model of
math problems or othersubject problems related toone variable inequalities
Technique :
I
ndividual work G
roup work
Exam
Instrument:
Quiz
Writtentest :Multiple choiceand essay
4 x45Resourses
MathBook by
Karren M Self-
made modul
CDe-dukasi.net
4.8. Solve math model
relate to onevariableinequalities andits interpretation.
Find the solution of math
problems relate to onevariable inequalities inalgebraic fractions.
Interpret solution of
problems relate toinequalities in onevariables in algebraicfractions.
Apply one variableinequalities inalgebraic fractions.
Solve math model of math
problems or other subjectrelate to one variableinequalities
Interpret solution of math
problems or other subjectrelate to one variableinequalities.
Technique :
Individual work
Group work
Exam
Instrument:
Quiz
Writtentest :
Multiple choiceand essay
2 x45Resourses Math
Book byKarren M
Self-
made modul
CDe-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
12/21
PEMERINTAH PROPINSI DAERAH KHUSUS IBUKOTA JAKARTA
DINAS PENDIDIKAN
SEKOLAH BERTARAF INTERNASIONAL
SYLLABUS OF SBI CURRICULUM
School : Senior HighSubject : MATHEMATICSGrade/Program : XSemester : 2
STANDARD COMPETENCY:5. Using math logic in problem solving related to compound sentences and sentence wit quantor.
BASIC
COMPETENCE INDICATOR TOPIC LEARNING ACTIVITY ASSESSMENT
TIME
ALLOCATION RESOURCES
5.1. Determining truthvalue ofcompoundsentence andsentence withquantor
Determining truth
value of sentence withquantor
Determiningnegation of sentencewith quantor
Determining truthvalue of compoundsentence
Determining
negation of compoundsentence
Math Logic
Preposition and itstruth value
Preposition withquantor
Negation ofpreposition
Compoundpreposition
Truth value and itsnegationo Conjunction
o Disjunction
o Implication
Distinguishing preposiition andnot preposition
Determining truth value of a
preposition
Determining negation of a
preposition
Identifying compoundsentence in form ofconjunction, disjunction andimplication
Constructing truth value ofcompound sentence in form ofconjunction, disjunction andimplication in the form of table
Determining truth value ofcompound sentence in form ofconjunction, disjunction andimplication
Constructing negation ofcompound sentence in form ofconjunction, disjunction andimplication in the form of table
Task type:
Individual task
Group task
Test
Instrument type:
Quiz
MultipleChoice test
Essaytest
8 x 45 Resources:
MathBook byKarren M
Self-made modul
Learning CD MAFIA
e-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
13/21
BASICCOMPETENCE
INDICATOR TOPIC LEARNING ACTIVITY ASSESSMENTTIME
ALLOCATIONRESOURCES
Identifying daily sentencewhich related to compoundsentence
Identifying relation between
implication with converse,inverse and its contraposition
Determining converse, inverseand contraposition ofimplication
5.2. Formulatingpreposition whichis equivalent togiven compoundsentense orpreposition withquantor
Checking equivalencybetween to compoundpreposition orpreposition withquantor
Proving equivalencybetween to compoundpreposition orpreposition withquantor
Constructingpreposition which isequivalent tocompound prepositionor preposition withquantor
Equivalency oftwo compopundpreposition
Tautology andContradiction
Identifying compoundprepositions which areequivalent
Checking equivalencybetween to compoundpreposition or preposition with
quantor
Proving equivalency between
to compound preposition orpreposition with quantor usingproperties of math logic
Identifying characteristics of
tautology and contradictionfrom truth table
Checking whether a
compound preposition is atautology or contradiction ornone of them
Task type:
Individual task
Group task
Test
Instrument type:
Quiz
MultipleChoice test
Essaytest
4 x 45 Resources:
MathBook byKarren M
Self-made modul
Learnin
g CD MAFIA e-
dukasi.net
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8/6/2019 Sylabus (Kelas X) Rev (MHT)
14/21
BASICCOMPETENCE
INDICATOR TOPIC LEARNING ACTIVITY ASSESSMENTTIME
ALLOCATIONRESOURCES
5.3. Using principlesof math logicwhich related tocompound
preposition andpreposition withquantor in makingconclusion andproblem solving
Checking validity ofconcluding prepositionusing principles of mathlogic
Determining conclusionof some premises given
Making conclusiono Ponens Mode
o Tolens Mode
o Syllogism
Identifying how to makeconclusion from someexamples given
Formulating how to makeconclusion based onimplication methods (ponensmode, tolens mode andsyllogism)
Checking validity of makingconclusion
Constructing valid conclusionbased on some premisesgiven.
Task type:
Individual task
G
roup task T
est
Instrument type:
Quiz
MultipleChoice test
Essaytest
4 x 45 Resources:
MathBook byKarren M
Self-made modul
Learning CD MAFIA
e-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
15/21
STANDARD COMPETENCY:
6. Using trigonometric ratio, function, equation and identity in problem solving.
BASICCOMPETENCE
INDICATOR TOPIC LEARNING ACTIVITY ASSESSMENTTIME
ALLOCATION
RESOURCES
6.1. Doing algebraicmanipulation intechnicalcalculation whichrelates totrigonometricratio, function,equation andidentity
Determining valueof trigonometricratio in right-angledtriangle
Determining valueof trigonometricratio of specialangles
Determining value
of trigonometricratio of angles in allquadrants
Trigonometry
Trigonometric ratio inright-angled triangle
Value of trigonometricratio of special angle
Trigonometric ratio ofangles in all quadrants
Calculating ratio of trianglesides which has fixedangles, but different lengthof sides.
Defining the meaning oftrigonometric ratio in right-angled triangle.
Determining value oftrigonometric ratio of anglesin right-angled triangle.
Investigating value oftrigonometric ratio in specialangles.
Using trigonometric ratiovalue in special angle tosolve problems.
Deriving formula oftrigonometric ratio of anangle on Cartesian plane
Calculating value oftrigonometric ratio onCartesian plane
Investigating relationbetween trigonometric ratioof angles in all quadrants.
Determining value oftrigonometric ratio of anglesin all quadrants
Task type:
Individual task
Group task
Test
Instrument type:
Quiz
MultipleChoice test
Essaytest
10 x 45 Resources:
MathBook byKarren M
Self-made modul
Learning CD MAFIA
e-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
16/21
BASICCOMPETENCE
INDICATOR TOPIC LEARNING ACTIVITY ASSESSMENTTIME
ALLOCATION
RESOURCES
6.2. Constructingmathematicalmodel of problemrelated totrigonometricratio, function,equation andidentity
Drawing graph ofsimpletrigonometricfunction.
Solving simpletrigonometricfunction.
Proving simpletrigonometricidentity.
Solving calculationusing sine andcosine rules.
Calculating area oftriangle with givencomponents.
Trigonometric function
and its graph
Simple trigonometricequation.
Trigonometric identity
Sine rule and Cosinerule.
Formula of areaof triangle
Determining value oftrigonometric function
Drawing graph of
simple trigonometricfunction.
Determining solution
of simple trigonometricequation.
Constructing realtionbetween trigonometricratio of an angle.
Proving simple
trigonometric identity byusing formula of relationbetween trigonometricratio
Identifying problemsin calculating angles orsides in a t riangle.
Constructing sine ruleand cosine rule.
Using sine and cosine
rules in problem solving ofcalculating side or angle ina triangle.
Identifying problem incalculating area of triangle.
Deriving formula ofarea of a triangle
Using formula of areamof triangle in problem
Task type:
Individual task
Group task
Test
Instrument type:
Quiz
MultipleChoice test
Essaytest
12 x 45 Resources:
MathBook byKarren M
Self-made modul
Learning CD MAFIA
e-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
17/21
BASICCOMPETENCE
INDICATOR TOPIC LEARNING ACTIVITY ASSESSMENTTIME
ALLOCATION
RESOURCES
solving
6.3. Solvingmathematicalmodel of problemrelated totrigonometricratio, function,equation, identityand itsinterpretation
Identifyingproblems relatedto trigonometricratio, function,equation, andidentity
Constructing
mathematicalmodel which isrelated totrigonometricratio, function,equation, andidentity
Determiningsolution ofmathematicalmodel which isrelated to
trigonometricratio, function,equation, andidentity
Interpreting
the solution ofproblem related totrigonometricratio, function,equation, andidentity
Usingtrigonometric ratio
Identifying problemsrelated to t rigonometricratio, function, equation,and identity
Constructing
mathematical model whichis related to trigonometric
ratio, function, equation,and identity
Solving mathematical
model which is related totrigonometric ratio,function, equation, andidentity
Interpreting the solution of
problem related totrigonometric ratio,function, equation, andidentity
Task type:
Individual task
Group task
Test
Instrument type:
Quiz
MultipleChoice test
Essaytest
8 x 45 Resources:
MathBook byKarren M
Self-made modul
Learning CD MAFIA
e-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
18/21
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
19/21
STANDARD COMPETENCY:
7. Determining position, distance and value of angle which relate to points, lines and planes in 3-Dimension.
BASICCOMPETENCE
INDICATOR TOPIC LEARNING ACTIVITY ASSESSMENTTIME
ALLOCATIONRESOURCES
7.1. Determiningposition,distance andvalue of angle in3-Dimension(solid)
Determining position
of point and line on aplane
Determining position
of point, line and plane ina solid
Determining positionbetween two lines in asolid
Determining positionof line and plane in a solid
Determining position
between two planes in asolid.
3-Dimension
Introductionto solids
Position ofpoint, line andplane in a solid
Identifying shapes ofsolids
Identifying parts of asolid
Investigating positionbetween parts of a solid
Describing positionbetween parts of a solid
Task type:
Individual task
Group task
Test
Instrument type:
Quiz
MultipleChoice test
Essaytest
4 x 45 Resources:
MathBook byKarren M
Self-made modul
Learning CDMAFIA
e-dukasi.net
7.2. Determiningdistance frompoint to line andpoint to plane in3-dimension
Determining distance
from a point to a line in asolid
Determining distancefrom a point to a plane ina solid
Determining distance
between two lines in asolid *)
Distance ina solid
Defining the meaning ofdistance between a point, aline and a plane in a solid
Calculating distance
from a point to a line in asolid
Calculating distance from a
point to a plane in a solid
Calculating distance
between two lines in a solid*)
Task type:
Individual task
G
roup task T
est
Instrument type:
Quiz
MultipleChoice test
Essaytest
10 x 45 Resources:
MathBook byKarren M
Self-made modul
Learning CDMAFIA
e-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
20/21
BASICCOMPETENCE
INDICATOR TOPIC LEARNING ACTIVITY ASSESSMENTTIME
ALLOCATIONRESOURCES
7.3. Determiningvalue of anglebetween line and
plane andbetween twoplanes in 3-dimension (solid)
Determining value ofangle between two lines ina solid
Determining value ofangle between line andplane in a solid
Determining value ofangle between two planesin a solid
Angles in asolid
Defining the meaning ofpoint, line and plane in a
solid
Drawing angle betweentwo lines in a solid
Calculating value ofangle between two lines in asolid
Drawing value of anglebetween line and plane in asolid
Calculating value ofangle between line and planein a solid
Drawing angle betweentwo planes in a solid
Calculating value ofangle between two planes ina solid
Task type:
Individual task
Group task
Test
Instrument type:
Quiz
MultipleChoice test
Essaytest
10 x 45 Resources:
MathBook by
Karren M Self-
made modul
Learning CDMAFIA
e-dukasi.net
-
8/6/2019 Sylabus (Kelas X) Rev (MHT)
21/21
STANDARDS COMPETENCES:
8. Understanding number systems and how to use them in applied problems or real-life situation
BASICCOMPETENCE INDICATOR LEARNINGMATERIAL ACTIVITY OFLEARNING ASSESMENT TIME RESOURSES
8.1. Using given datato solve problemson personal andhouseholdfinance involvingearnings, simpelinterest, discount,profit and loss
Using personaland householdfinance, involvingearnings, simpleineterst, discount,profit and loss
Personaland householdfinance
Solve simple
problems, using practicalexamples where possible,taking information frompublished tablesoradvertisements.
Worksheet
6 x 45 Self-made modul
www.cie.org.uk.