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LEARNING OBJECTIVES LEARNING OUTCOMES

Students will be able to:

STRATEGIES

1. DIRECTED NUMBERS

2 WEEKS

(3.1.2011 14.1.2011)

1.1 Perform computationsinvolvingmultiplicationanddivisionof

integerstosolveproblems.

i. multiplyintegersii. solveproblemsinvolvingmultiplicationofintegers

iii.divideintegersiv.solveproblems

Constructivism

1.2 Perform computationsinvolving

combinedoperationsofaddition,

subtraction,multiplicationand

divisionofintegerstosolve

problems.

i. Perform computationinvolving combined

operationsof:

a)additionandsubtraction

b)multiplicationanddivision

ofintegersii. Solveproblemsinvolving combined

operationsofaddition,subtraction,

multiplicationanddivisionofintegers

includingtheuseofbrackets.

Calculators

1.3 Extendthe conceptofintegersto

fractionstosolveproblems.

i. Compareandorderfractions

ii. Performaddition,subtraction,multiplication

anddivisiononfractions.

1.4 Extendthe conceptofintegerstodecimalstosolveproblems.

i. Compareandorderfractionsii. Performaddition,subtraction,multiplication

anddivisiononfractions.

1.5 Perform computationsinvolvingdirectednumbers (integers,fractions

anddecimals).

i. Performaddition,subtraction,multiplicationanddivisioninvolvingtwodirectednumbers.

ii. Perform computationsinvolving combination

oftwoormoreoperationsondirected

numbersincludingtheuseofbrackets.

iii. Poseandsolveproblemsinvolvingdirected

numbers.

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STRATEGIES

2. SQUARES, SQUARE

ROOTS, CUBES , CUBE

ROOTS

2 WEEKS

(17.1.2011 28.1.2011)

2.1 Understandandusethe conceptofsquaresofnumbers.

i. Stateanumbermultipliedbyitselfasanumbertothepoweroftwoandviceversa.

ii. Determinethesquaresofnumberswithoutusing calculators.

iii. Estimatethesquaresofnumbers.iv. Determinethesquaresofnumbersusing

calculators.

v. Listperfectsquaresvi. Determineifanumberisaperfectsquare.vii. Poseandsolveproblemsinvolvingsquaresofnumbers.

Constructivism

Student centered

Pencilandpapermethod

EstimationICT

SelfAccess Learning

2.2 Understandandusethe conceptofsquarerootsofpositivenumbers.

i. Determinetherelationshipbetweensquaresandsquareroots.

ii. Determinethesquarerootsofperfectsquares

withoutusing calculator.

iii. Determinethesquarerootsofnumbers

withoutusing calculators.

iv. Multiplytwosquareroots.

v. Estimatesquarerootsofnumbers.

vi. Findthesquarerootsofnumbersusingcalculators.vii. Poseandsolveproblemsinvolvingsquares

andsquareroots.

2.3 Understandandusethe conceptof

cubeofnumbers.

i. Stateanumbermultipliedbyitselftwiceasa

numbertothepowerofthreeandviceversa.

ii. Determine cubesofnumberswithoutusing

calculators.

iii. Estimate cubesofnumbers.

iv. Determine cubesofnumbersusingcalculators.

v. Poseandsolveproblemsinvolving cubesof

numbers.

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cuberootsofnumbers.

i. Determinetherelationshipbetween cubesand

cuberoots.

ii. Determinethe cuberootsofintegerswithout

using calculators.

iii. Determinethe cuberootsofnumberswithout

using calculators.

iv. Estimate cuberootsofnumbers.

v. Determine cuberootsofnumbersusing

calculators.vi. Poseandsolveproblemsinvolving cubesand

cuberoots.

vii. Perform computationsinvolvingaddition,

subtraction,multiplication,divisionandmixed

operationsonsquares,squareroots, cubesand

cuberoots.

CUTI TAHUN BARU CINA (31.1.2011 4.2.2011)

3. ALGEBRAIC

EXPRESSIONS II

2 WEEKS

(7.2.2011 18.2.2011)

3.1 Understandthe conceptofalgebraic

termsintwoormoreunknowns.

i. Identifyunknownsinalgebraic termsintwo

ormorewunknowns

ii. Identifyalgebraic termsintwoormore

unknownsastheproductoftheunknownswitanumber

iii. Identify coefficientsingivenalgebraic termsintwoormoreunknowns

iv. Identifylikeandunlikealgebraic termsintwo

ormoreunknowns

v. Stateliketermsforagivenalgebraic terms


multiplicationanddivisionoftwoor

moreterms.

i. Findtheproductoftwoalgebraic terms

ii. Findthequotientoftwoalgebraic terms

iii. Performmultiplicationanddivisioninvolvingalgebraic terms

3.3 Understandthe conceptofalgebraic

expressions.

i. Writealgebraic expressionsforgiven

situationsusinglettersymbols

ii. Recognisealgebraic expressionsintwoormoreunknowns

iii. Determinethenumberoftermsingiven

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STRATEGIES

algebraic expressionsintwoormore

unknowns

iv. Simplifyalgebraic expressionsby collecting

liketerms

v. Evaluateexpressionsbysubstitutingnumbers

forletters


algebraic expressions.

i. Multiplyanddividealgebraic expressionsbya

number

ii. Perform:a)addition

b)subtraction

involvingtwoalgebraic expressions

iii. Simplifyalgebraic expressions

4. LINEAR EQUATIONS

2 WEEKS(21.2.2011 4.3.2011)

4.1 Understandandusethe conceptofequality.

i. Statetherelationshipbetweentwoquantitiesbyusingthesymbols = or.

y Use concreteexamplestoillustrate = and .

y Discuss casessuchas:a). Ifa = bthenb = a.

e.g:2 + 3 = 4 + 1 then 4 + 1 = 2 + 3

b). Ifa = bandb = c,thena = c.e.g:

4 + 5 = 2 + 7 =,then 2 + 7 = 3 +

6,then 4 + 5 = 3 + 6

4.2 Understandandusethe conceptoflinearequationsinoneunknown.

i. Recogniselinearalgebraic termsii. Recogniselinearalgebraic expressions.iii. Determineifgivensituationis:a). alinearequationb)alinearequationinoneunknown.

iv. Writelinearequationsinoneunknownforgivenstatementsandviceversa.

y Discusswhygivenalgebraictermsandexpressionarelinear.

y Givenalistofterms,studentsidentifylinearterms.

e.g: 3x, xy, x2

3x isalinearterm.

y Selectlinearexpressionsgivenalistofalgebraic expressions.

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STRATEGIES

y Selectlinearequationsgivenalistofequations.

e.g:

x + 3 = 5, x 2y = 7, xy = 10

x + 3 = 5, x 2y = 7 arelinear

equations.

X + 3 = 5 islinearequationinone

unknown.

yIncludeexamplesfromeverydaysituations.

4.3 Understandthe conceptofsolutionsoflinearequationsinoneunknown.

i. Determineifanumericalvalueisasolutionofagivenlinearequationinoneunknown.

ii. Determinethesolutionofalinearequationinoneunknownbytrialandimprovement

method.

iii. Solveequationsintheformof:a). x + a = b

b). x a + bc). ax = bd). x = b

a

wherea,b, c areintegersand x isan

unknown.

iv. Solveequationsintheformofax + b = c,wherea,b, c areintergersand x isan

unknown.

v. Solvelinearequationsinoneunkown.vi.

Poseandsolveproblemsinvolvinfglinearequationsinoneunknown.

y Use concreteexamplestoexplkainsolutionsoflinear

equationinoneunknown.

E.g:

Relate x + 2 = 5 to ___ + 2 = 5

y Solveandverifylinearequatuionsinoneunknownbyinspectionandsystematic trialusingwhole

numbers,withandwithoutthw

useofcalculators.

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STRATEGIES

5. RATIOS, RATES AND

PROPORTIONS

1 WEEK

(7.3.2011 11.3.2011)

5.1 Understandthe conceptofratioof

twoquantities.

i. Comparetwoquantitiesintheforma:bor

a/b

ii. Determinewhethergivenratiosareequivalent

ratios.

iii. Simplifyratiostwothelowestterms.

iv. State ratiosrelatedtoagivenratio.

Cooperativelearning.

Constructivism.

CUTI PERTENGAHAN PENGGAL 1 (12.3.2011 20.3.2011)

UJIAN 1 TINGKATAN 1, 2 & 4 (21.3.2011 25.3.2011)

1 WEEK(28.3.2011 1.4.2011) 5.2U

nderstandthe conceptofpropotiontosolveproblems. i. Statewethertwopairsofquantitiesisaproportion.ii. Determineifaquantityisproportionalto

anotherquantitygiventwovaluesofeach

quantity.

iii. Findthevalueofaquantitygiventheratioof

thetwoquantitiesandthevalueofanother

quantity.

iv. Findthevalueofaquantitygiventheratio

andthesumofthetwoquantities.

v. Findthesumoftwoquantitiesgiventheratioofthequantitiesandthedifferencebetween

thequqntities.

vi. Poseandsolveproblemsinvolvingratiosandproportions.

Contextuallearning.

Cooperativelearning.


ratioof threequantitiestosolve

problems.

i. Comparethreequantitiesintheforma:b: c.

ii. Determinewethergivenratiosareequivalent

ratios.

iii. Simplifyratioofthreequantitiestothelowest

terms.iv. Statetheratioofanytwoquantitiesgiven

ratioofthreequantities.

v. Findtheratioofa:b: c giventheratioofa:

bandb: c.

vi. Findthevalueoftheotherquantities,giventheratioofthreequantitiesandthevalueof

oneofthequantities.

Enquiry-discovery

Contextuallearning.

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STRATEGIES

vii. Findthevalueofeachofthethreequantities

given:

a)theratioandthesumofthreequantities.

b)theratioandthedifferencebetweentwoof

thethreequantities.

viii. Findthesumofthreequantitiesgiventhe

ratioandthedifferencebetweentwoofthe

threequantities.

ix. Poseandsolveproblemsinvolvingratioofthethreequantities.

6. PYTHAGORAS

THEOREM

2 WEEKS

(4.4.2011 15.4.2011)

6.1 Understandtherelationshipbetweenthesidesof aright-angledtriangle.

i. Identifythehypotenuseofright-angled

triangles.

ii. Determinetherelationshipbetweenthe

lengthsofthesidesofaright-angledtriangle.

iii. Findthelengthofthemissingsideofaright-

angledtriangleusingthePythagoras

Theorem.

iv. Findthelengthofsidesofgeometric shapes

usingPythagoras Theorem.

v. SolveproblemsusingthePythagoras

Theorem.

Explanation

Discoverylearning

6.2 Understandandusethe converseofthePythagoras Theorem.

i. Determinewhetheratriangleisaright-angledtriangle.

ii. Solveproblemsinvolvingthe converse

Pythagoras Theorem.

Cooperative learning

Enquiry-discovery

7. GEOMETRICAL

CONSTRUCTION

2 WEEKS

(18.4.2011 29.4.2011)

7.1 Perform constructionsusingstraight

edge (rulerandsetsquare)and

compass

i. Constructalinesegmentofgivenlength

ii. Constructatrianglegiventhelengthodthe

sides

iii. Construct:a)perpendicularbisectorofagivenline

segment

b)perpendiculartoalinepassingthrougha

pointonthelinec)perpendiculartoalinepassingthrougha

pointnotontheline

iv. Construct:

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STRATEGIES

a)angleof60 and 120

b)bisectorofananglev. Constructtrianglesgiven:

a)onesideandtwoangles

b)twosidesandoneangle

vi. Constrict:

a)parallellines

b)parallelogramgivenitssidesandanangle

8. COORDINATES

2 WEEKS

(2.5.2011 13.5.2011)

8.1 Understandandusethe conceptofcoordinates

i. Identifythe x-axis,y-axisandtheorigin on

a Cartesianplane.

ii. Plotpointsandstatethe coordinatesofthe

pointsgivendistancesfromthey-axisand x-

axis

iii. Plotpointsandstatethedistancesofthe

pointsfromthey-axisand x-axisgiven

coordinatesofthepoints.

iv. Statethe coordinatesofpointson Cartesian

plane.

Introducethe conceptofcoordinates

usingeverydayexamples

e.g

Statethelocationof:

a)aseatinthe classroom

b)apointonsquaregrids

Introduce Cartesian coordinatesasa

systematic wayofmarkingthe

locationofapoint.

8.2 Understandandusethe conceptofscalesforthe coordinatesaxes.

i. Markthevaluesonbothaxesbyextendingthesequenceofgivenvaluesontheaxes.

ii. Statethescalesusedingiven coordinateaxeswhere:

a)scalesforaxesarethesame

b)scalesforaxesaredifferent

iii. Markthevaluesonbothaxes,withreference

tothescalesgiven.

iv. Statethe coordinatesofagivenpointwithreferencetothescalesgiven.

v. Plotpoints,giventhe coordinates,with

referencetothescalesgiven.vi. Poseandsolveproblemsinvolving

coordinates.

Usedynamic geometrysoftwaretoexploreandinvestigatethe concept

scales.

Exploretheeffectsofshapesof

objectsbyusingdifferentscales

Explorepositionsofplaceson

topographymaps

Poseandsolveproblemsinvolving

coordinatesofverticesofshapessuchas:

Nametheshapeformedby A(1,5)

B(2,5), C(4,3)and D (3,3)Threeofthefourverticesofa

squareare (-1,1), (2,5)and (6,2).

Statethe coordinatesofthefourth

vertex.

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STRATEGIES

PEPERIKSAAN PERTENGAHAN TAHUN (19.5.2011 - 25.5.2011)

CUTI PERTENGAHAN TAHUN (28.5.2011 12.6.2011)

2 WEEKS

(13.6.2011 24.6.2011)


distancebetweentwopointsona

Cartesianplane.

i. Findthedistancebetweentwopointswith:

a) commony-coordinates

b)common x-coordinates

ii. Findthedistancebetweentwopointsusing

Pythagorastheorem

iii. Poseandsolveproblemsinvolvingdistance

betweentwopoints.

Discussdifferentmethodsoffinding

distancebetweentwopointssuchas:

a) inspectionb) movingonepointtotheotherc) computingthedifferencebetweenthe x-coordinatesor

y-coordinates

Studentsdrawtheappropriateright-

angledtriangleusingthedistancebetweenthetwopointsasthe

hypotenuse.


midpoints

i. Identifythemidpointofastraightlinejoining

twopoints.

ii. Findthe coordinatesofthemidpointofa

straightlinejoiningtwopointswith:

a) commony-coordinates

b)common x-coordinates

iii. Findthe coordinatesofthemidpoint ofthe

linejoiningtwopoints.

iv. Poseandsolveproblemsinvolvingmidpoints.

Introducethe conceptofmidpoints

throughactivitiessuchasfolding,

constructing,drawingand counting

Usedynamic geometrysoftwareto

exploreandinvestigatethe conceptof

midpoints.

9. LOCI IN TWO

DIMENSIONS

2 WEEKS

(27.6.2011 8.7.2011)

9.1 Understandthe conceptoftwo-

dimensionalloci.

i. Describeandsketchthelocusofamoving

objectii. Determinethelocusofpointsthatareof:

a) constantdistancefromafixedpoint

b)equidistantfromtwofixedpoints

c) constantdistancefromastrightline

d)equidistantfromtwointersectinglines

iii. Constructthelocusofasetofallpointsthatsatisfiesthe condition:

a)thepointisata constantdistancefroma

fixedpoint

b)thepointisataequidistantfromtwofixed

pointsc)thepointisata constantdistancefroma

strightline

Contextuallearning

ICT

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STRATEGIES

d)thepointisatequidistantfromtwo

intersectinglines

9.2 Understandthe conceptofthe

intersectionoftwoloci

i. Determinetheintersectionsoftwolociby

drawingthelociandlocatingthepointsthat

satisfythe conditionsofthetwoloci

Masterylearning

ICT

10. CIRCLES

3 WEEKS

(11.7.2011 29.7.2011)

10.1 Recogniseanddrawpartsofa circle i. Identify circleassetofpointsequidistant

fromafixedpoint.

ii. Identifypartsofa circle:

a) centerb)circumference

c)radius

d)diameter

e) chord

f)arc

g)sector

h)segment

iii. Draw:

a)a circlegiventheradiusand centre

b)a circlegiventhediameter

c)adiameterpassingthroughaspecific point

ina circlegiventhe centred)a chordofagivenlengthpassingthrougha

pointonthe circumference

e)sectorgiventhesizeoftheangleatthe

centreandradiusofthe circle.

iv. Determinethe:

a) center

b)radius

ofagiven circleby construction.


circumferencetosolveproblems.i. Estimatethevalueof4.ii. Derivetheformulaofthe circumferenceofa

circle.

iii. Findthe circumferenceofa circle,givenits:

a)diameterb)radius

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STRATEGIES

iv. Findthe:

a)diameterb)radius

giventhe circumferenceofa circle.

v. Solveproblemsinvolving circumferenceof

circles.


arc ofa circletosolveproblems.

i. Derivetheformulaofthelengthofanarc

ii. Findthelengthofarc giventheangleatthe

centreandtheradius.iii. Findtheangleatthe centregiventhelengthof

thearc andtheradiusofa circle.

iv. Findthelengthofradiusofa circlegiventhe

lengthofthearc andtheangleatthe centre.

v. Solveproblemsinvolvingarcsofa circle.


areaofa circletosolveproblems.

i. Derivetheformulaoftheareaofa circle.

ii. Findtheareaofa circlegiventhe:

a)radius

b)diameter.

iii. Find

a)radius

b)diametergiventheareaofa circle.

iv. Findtheareaofa circlegiventhe

circumferenceandviceversa.

v. Solveproblemsinvolvingareaofcircles.


areaofsectorofa circletosolve

problems.

i. Derivetheformulaoftheareaofasector.

ii. Findtheareaofasectorgiventheradiusangle

atthe centre.

iii. Findtheangleatthe centregiventheradius

andtheareaofa circle.

iv. Findtheradiusgiventheareaofasectorand

theangleatthe centre.v. Solveproblemsinvolvingareaofasectors

andareaofcircles

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STRATEGIES

11. TRANSFORMATIONS

1 WEEK

(1.8.2011 6.8.2011)

11.1Understandthe conceptof

transformations

i. Identifyatransformationasaone-to-one

correspondencebetween pointsinaplane.ii. Identifytheobjectanditsimageinagiven

transformation.

Using concretematerials,drawings (in

artsandnature),geo-boardsanddynamic geometrysoftware.

11.2Understandandusethe conceptof

translations.

i. Identifyatranslation.

ii. Determinetheimageofanobjectundera

giventranslation.

iii. Describeatranslation:

a)bystatingthedirectionanddistanceof themovement

b)intheform

b

a

iv. Determinethepropertiesoftranslation.

v. Determinethe coordinatesof:

a)theimage,giventhe coordinatesofthe

object

b)theobject,giventhe coordinatesofthe

imageunderatranslations.

vi. Solveproblemsinvolvingtranslation.

Usinggridpapers

Cooperativelearning

Constructivism

Masterylearning

UJIAN 2 TINGKATAN 1,2 & 4 (8.8.2011 12.8.2011)

2 WEEKS

(15.8.2011 26.8.2011)


reflections

i. Identifyareflection.


reflectiononagivenline.

iii. Determinethepropertiesofreflections.iv. Determine:

a)theimageofanobject,giventheaxisof

reflection

b)theaxisofreflection,giventheobjectand

itsimagev. Determinethe coordinatesof:


object


imageunderareflection.

vi. Describeareflectiongiventheobjectandimage.

Usingtracingpaperorpaperfolding

Cooperativelearning

Constructivism

Masteryleaning

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STRATEGIES

vii. Solveproblemsinvolvingreflection.


rotations.

i. Identifyarotation.


rotationgiventhe centre,theangleand

directionofrotation.

iii. Determinethepropertiesofrotations.

iv. Determine:

a)theimageofanobject,giventhe centre,

angleanddirectionofrotationb)the centre,angleanddirectionofrotation,

giventheobjectandtheimage.v. Determinethe coordinatesof:


object


image

underarotation.

vi. Describearotationgiventheobjectand

image.

vii. Solveproblemsinvolvingrotations.

Usingtracingpapers

Cooperativelearning

Constructivism

Masterylearning

CUTI PERTENGAHAN PENGAAL 2 (27.8.2011 4.9.2011)

2 WEEKS

(5.9.2011 9.9.2011)11.5Understandandusethe conceptofisometry

i. Identifyanisometry.ii. Determinewhetheragiventransformationis

anisometry.

iii. Constructpatternsusingisometry.

UsingtracingpapersEnquiry-discoverylearning

Constructivism


congruence.

i. Identifyiftwofiguresare congruent.

ii. Identify congruencybetweentwofiguresasa

propertyofanisometry.

iii. Solveproblemsinvolving congruence.

Enquiry-discoverylearning

Constructivism

Masterylearning

11.7Understandandusethepropertiesof

quadrilateralsusing conceptof

transformations.

i. Determinethepropertiesofquadrilaterals

usingreflectionsandrotations.

Enquiry-discoverylearning

Cooperativelearning

Constructivism

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STRATEGIES

12. SOLID GEOMETRY II

2 WEEKS

(12.9.2011 23.9.2011)

12.1Understandgeometric propertiesof

prisms,pyramids, cylinders, conesandspheres.

i. Statethegeometricpropertiesofprisms,

pyramids, cylinders, conesandspheres

12.2Understandthe conceptofnets. i. Drawnetsforprisms,pyramids, cylinders,

and cones

ii. Statethetypespfsolidsgiventheirnets

iii. Constructmodelsofsolidsgiventheirnets

12.3Understandthe conceptofsurface

area.

i. Statethesurfaceareasofprisms,pyramids,

cylindersand cones

ii. Findthedurfaceareaofprisms,pyramids,cylindersand cones

iii. Findthesurfaceareaofspheresusingthe

standardformula

iv. Finddimensions:

a)lengthofsides

b)height

c)slantheight

d)radius

e)diameter

ofasolidgivenitssurfaceareaandother

relevantinformationv. Solveproblemsinvolvingsurfaceareas

13. STATISTICS

2 WEEKS

(25.9.2011 7.10.2011)

13.1 Understandthe conceptofdata. i. Classifydataaccordingtothosethat canbe

collectedby:

a) counting

b)measuring

ii. Collectandrecorddatasystematically.

Carryoutactivitiestointroducethe

conceptofdataasa collectionof

informationorfacts.

Discussmethodsofcollectingdata

suchas counting,observations,

measuring,usingquestionnairesand

interviews.

13.2Understandthe conceptoffrequency. i. Determinethefrequencyofdata.

ii. Determinethedatawith:

a)thehighestfrequencyb)thelowestfrequency

c)frequencyofaspecific value.

Useactivitiestointroducethe concept

offrequency.

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iii. Organizedataby constructing:

a)tally chartsb)frequencytables

iv. Obtaininformationfromfrequencytables.

13.3 Representandinterpretdatain:

i. pictograms

ii. barcharts

iii. linegraphstosolveproblems.

i. Constructpictogramstorepresentdata.

ii. Obtaininformationfrompictograms.

iii. Solveproblemsinvolvingpictograms.

iv. Constructbarchartstorepresentdata.v. Obtaininformationfrombarcharts.

vi. Solveproblemsinvolvingbarcharts.vii. Representdatausinglinegraphs.

viii. Obtaininformationfromlinegraphs.

ix. Solveproblemsinvolvinglinegraphs.

Useeverydaysituationstointroduce

pictograms,barchartsandlinegraphs.

CHAPTER REVISION (10.10.2011 14.10.2011)

PEPERIKSAAN AKHIR TAHUN (17.10.2011 21.10.2011)

CUTI DEEPAVALI (24.10.2011 - 28.10.2011)

DISCUSSION OF EXAMINATION PAPER (31.10.2011 4.11.2011)

DISCUSS TOPIC FORM 3 (9.11.2011 18.11.2011)

CUTI AKHIR TAHUN (19.11.2011 1.1.2012)

Maths f2 _ Rpt

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