yadd maths t4

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    Week/Learning

    Area

    Learningobjectives

    Learning outcomesSuggestedactivities

    Points to noteTeaching

    Strategies/Skills

    QUADRATICEQUATIONS

    Week1 & 2

    1. Understand theconcept of

    quadratic equation

    and its roots.

    1.1 Recognise a quadraticequation and express it

    in general form.

    1.2 Determine whether a

    given value is the root

    of a quadratic equation

    by

    a) substitution;

    b) inspection.

    1.3 Determine roots of quadratic

    equations by trial and

    improvement method.

    Use graphing

    calculators or

    computer software

    such as the Geometers

    Sketchpad and

    spreadsheet to explore

    the concept of

    quadratic equations.

    .

    Questions for 1.2(b) are given

    in the form of (x+ a)(x+ b) =

    0; a and b are numerical

    values.

    Noble value :Cooperation

    TGA:FlashcardPedagogy :

    Activity/Cooperative Learning

    CCTS:Classification.

    2. Understand the

    concept of

    quadraticequations.

    2.1 Determine the roots of

    a quadratic equation by

    a) factorisation;b) completing

    the square

    c) using the

    formula.

    Discuss when

    (x p)(x q) = 0, hencex

    p = 0 or

    x q = 0. Include case

    whenp = q.

    Derivation of formula

    for 2.1c is not required.

    Ifx=p andx=q are theroots, then the

    quadratic equation is

    Value :Cooperation

    TGA :Manila CardPedagogy :

    Inquiry Finding,Constructisme

    CCTS:Refresh idea

    and trial & error

    2

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    2.2 Form a quadratic

    equation from givenroots.

    (xp)(xq)=0, that isx2(pq)xpq=0.

    Involve the use of:+ =

    a

    b

    and =

    a

    c

    , Where and

    are roots of the

    quadratic equation

    ax2 +bx +c =0

    Pedagogy:Mastery

    Learning

    QUADRATICFUNCTIONS

    Week3 & 4

    1. Understandthe concept of

    quadraticfunctions andtheir graphs

    1.1 Recognise quadraticfunctions

    1.2 Plot quadratic functionsgraphsa) based on given

    tabulated valuesb) by tabulating

    values based ongiven functions

    1.3 Recognise shapes ofgraphs of quadraticfunctions

    1.4 Relate the position ofquadratic functiongraphs with types ofroots forf(x) = 0.

    Use computer softwareor graphing calculator.

    (ex; GSP, Graphmaticaor Microsoft Excel toexplore the graphs ofquadratic functions)

    Use example ofeveryday situations tointroduce graphs ofquadratic functions.

    Discuss the generalshape of quadratic

    function.Introduce the term ofparabola, minimum,maximum point andaxis of symmetry forquadratic curves.

    Discuss cases where0>a and 0

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    and minimumvalues ofquadratic

    functions

    maximum or minimumvalue of quadraticfunction by completing

    the square

    or graphing calculator.(ex; GSP, Graphmaticaor Microsoft Excel to

    explore the graphs ofquadratic functions)

    form of completing thesquare

    qpxaxf ++= 2)()(

    Self-AccessLearning

    3. Sketch graphs ofquadraticfunctions.

    3.1 Sketch quadraticfunctions by determiningthe maximum orminimum point and twoother points.

    Use graphing calculatoror dynamic geometrysoftware such as theGSP or Graphmatica toreinforce theunderstanding ofgraphs of quadratic

    functions.

    Emphasis the markingof maximum orminimum point and twoother points on thegraphs drawn or byfinding the axis ofsymmetry and the

    intersection with the y axisDetermine other pointsby finding theintersection with x-axis(if it exists )

    Contextual

    4. Understand anduse the concept ofquadratic

    inequalities.

    4.1 Determine the ranges ofvalues of x that satisfiesquadratic inequalities

    Use graphing calculatoror dynamic geometrysoftware such as the

    GSP or Graphmatica toreinforce theunderstanding ofgraphs of quadraticinequalities

    Emphasis on sketchinggraphs and use numberlines when necessary.

    Contextual

    SIMULTANEOUS

    Students will betaught to:

    Students will be able to : Use graphing calculatoror dynamic geometry

    Problem solving,discoverymethod, trial and

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    EQUATIONS

    Week 51. Solvesimultaneous

    equations in twounknowns: one linearequation and onenon - linear equation.

    1.1Solve simultaneousequations using the thesubstitution method

    1.2Solve simultaneousequations involving reallife situations

    software such as theGeometers Sketchpadto explore the concept

    of simultaneousequations

    Use examples in reallife situations such asarea, perimeter andothers.

    Limit non linearequations up to seconddegree only

    improvementmethod.

    ICT, relating,reasoning,MathematicalCommunication,MathematicalConnections

    FUNCTIONS

    Week

    6 , 7 &8

    1. Understandingthe concept of

    relations.

    1.1 Represent

    relations usinga)arrow diagramsb) ordered pairsc) graphs

    1.2 Identify domain,codomain, object,image and rangeof a relation.

    1.3 Classify a relationshown on a

    mapped diagramas: one to one,many to one, oneto many or manyto many relation.

    Use pictures, role-play and computersoftware to introduce

    the concept ofrelations.

    Discuss the idea ofset and introduce setnotation.

    Contextual

    Represent functions

    5

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    2. Understandthe conceptof functions

    2.1 Recognisefunctions as a

    special relation

    2.2 Express functionsusing functionnotation.

    2.3 Determine domain,object, image andrange of a function.

    2.4 Determine the image

    of a function giventhe object and viceversa.

    Use graphingcalculators andcomputer software toexplore the image offunctions.

    using arrowdiagrams, orderedpairs or graphs.

    e.g. f:x2xf(x) = 2x

    "f:x 2x" is read as"function fmaps xto2x".

    f(x) = 2xis read as2xis the image ofxunder the function f.

    Include examples offunctions that are notmathematicallybased.

    Cooperativelearning

    Examples of functionsinclude algebraic(linear andquadratic),trigonometric andabsolute value.

    Define and sketchabsolute valuefunctions.

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    3. Understand the

    concept

    of compositefunctions.

    3.1 Determinecomposition of twofunctions.3.2 Determine the imageof composite functionsgiven the object and viceversa.

    3.3 Determine oneof the functions in a

    given compositefunction given theother relatedfunction.

    Use arrow diagrams

    or algebraic methodto determinecomposite functions.

    Involve algebraic

    functions only.

    Images of compositefunctions include arange of values.(Limit to linearcomposite functions)

    .

    Mastery

    learning

    b)

    c) 4.Understand theconcept of inversefunctions.

    4.1 Find the object byinverse mappinggiven its image andfunction.

    4.2 Determine inversefunctions usingalgebra.

    4.3 Determine and statethe condition forexistence of aninverse function.

    Use sketches ofgraphs to show therelationship betweena function and itsinverse

    Limit to algebraicfunctions.

    Exclude inverse ofcomposite functions.

    Emphasise thatinverse of a functionis not necessarily a

    function.

    Masterylearning

    9d) Test 1

    7

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    INDICES AND

    LOGARITHMS

    Week 10

    1. Understand and usethe concept of indicesand laws of indices tosolve problems.

    1.1 Find the value of numbersgiven in the form of:a) integer indices.b) fractional indices.

    1.2 Use laws of indices to findthe value of numbers inindex form that aremultiplied, divided orraised to a power.

    1.3 Use laws of indices to

    simplify algebraic

    expressions.

    Use examples ofreal-life situations tointroduce the conceptof indices.

    Usecomputer softwaresuch as thespreadsheet toenhance theunderstanding ofindices.

    Discuss zero index andnegative indices.

    TeachingAids/materialsScientific

    calculator,GeometersSketchpad,geometric set

    CCTSIdentifyingrelationship

    TeachingStrategiesMastery Learning

    MultipleintelligentContextuallearning

    2. Understand and usethe concept oflogarithms and lawsof logarithms to solveproblems

    2.1 Express equation in indexform to logarithm form andvice versa.

    2.2 Find logarithm of anumber.

    2.3 Find logarithm of numbersby using laws of logarithms.

    2.4 Simplify logarithmicexpressions to the simplestform.

    Usescientific calculatorsto enhance theunderstanding of theconcept of logarithm.

    xplain definition oflogarithm.N= ax ; logaN= xwith a >

    0, a 1.Emphasise that:loga 1 = 0; logaa = 1.

    Emphasise that:a) logarithm of negative

    numbers is undefined;b) logarithm of zero isundefined.

    Discuss cases where thegiven number is ina) index formb) numerical form.

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    Discuss laws of logarithms

    Week 11

    3 Understand and usethe change of base oflogarithms to solveproblems.

    3.1 Find the logarithm of a

    number by changing thebase of the logarithm to asuitable base.

    3.2 Solve problems involvingthe change of base and laws oflogarithms.

    Discuss:

    logab = ab

    log1

    Vocabulary

    base

    integer indices

    fractional indices

    index form

    raised to a power

    law of indices

    index form

    logarithm form

    logarithmundefined

    134. Solve equations

    involving indices andlogarithms.

    4.1 Solve equations involvingindices.

    4.2 Solve equations involvinglogarithms.

    Equations that involveindices and logarithms arelimited to equations with

    single solution only.Solve equations involvingindices by:a) comparison of indices

    and bases;

    b) using logarithms

    COORDINAT

    GEOMETRY

    Week 14

    1. Find distancebetween twopoints

    1.1

    Find the distance between

    two points using formula2

    21

    2

    21 )()( yyxx +

    Use examples of real-

    life situations to find

    the distance between

    two points.

    Use the Pythagoras

    Theorem to find the

    formula for distance

    between two points.

    Moral ValuesCooperativePatriotismRespect

    Teaching Aids/MaterialChartArrow diagram

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    CCTSAnalogyRelations

    Imagine

    TeachingStrategiesContextual

    2. Understand theconcept of divisionof a line segment.

    2.1 Find the midpoint oftwo given points.

    2.2 Find the coordinatesof a point that divides a lineaccording to a given ratiom : n.

    Limit to cases where m

    and n are positive.

    Derivation of theformula

    ++

    ++

    nm

    myny

    nm

    mxnx 2121, is

    not required.

    Week15

    3. Find areas ofpolygons

    3.1 Find the area of atriangle based on thearea of specificgeometrical shapes.

    3.2Find the area of a

    triangle by using

    formula.

    1321

    1321

    2

    1

    yyyy

    xxxx 3.3 Find the area of a

    quadrilateral usingformula

    Use dynamic

    geometry software

    such as the

    Geometers Sketchpadto explore the concept

    of area of polygons.

    Use

    for substitution of

    coordinates into the

    formula.

    Limit to numericalvalues.

    Emphasise the

    relationship betweenthe sign of the value forarea obtained with theorder of the verticesused.

    Emphasise that whenthe area of polygon is0, the given points arecollinear.

    Moral ValuesCooperative

    Teaching Aids/

    MaterialGrid Board

    TeachingStrategiesContextualGenerate ideasThinking Skills

    10

    1321

    1321

    2

    1

    yyyy

    xxxx

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    4. Understands usethe concept ofequation of a

    straight line.

    4.1

    Determine thex intercept

    andy-intercept of a line4.2

    Find the gradient of astraight line that passesthrough two points.

    Use dynamic

    Geometry software

    such as the

    Geometers Sketchpad

    to explore the concept

    of equation of a

    straight lines.

    Moral ValuesHonestyAccuracy

    Teaching Aids/MaterialCharts, GraphicalCalculatorCharts

    4.3 Find the gradient of a

    staright line using thex-intercept andy-

    intercept4.4Find the equation of astraight line given:

    a) gradient and onepoint

    b) two point

    c) x-intercept andy-intercept

    4.5 Detemine gradient and

    intercepts of a straight linegiven the equation.

    4.6 Change the equation ofa straight line to thegeneral form

    4.7 Find the point ofintesection of two lines.

    Answer for learningoutcomes 4.4 (a) and4.4(b) must be stated

    in the simplest form

    1=+b

    y

    a

    xinvolve

    changing the equationinto gradient

    cmxy += and interceptform

    0=++ cbyax

    Solve simultaneouslinear equations usingthe graph method.

    TeachingStrategiesMastery LearningContextualApproachMasteryApproach

    Moral ValuesAccuracy

    Teaching Aids/MaterialGraph paper

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    TeachingStrategiesSelf Access

    Learning

    16 5.Understand anduse the concept ofparallel andperpendicularlines.

    5.1 Determine whether two

    straight lines are parallel

    when gradients of both

    lines are known and vice

    versa

    5.2 Find equation of a

    straight line that passes

    through a fixed point and

    parallel to a given line.

    5.3 Determine whether two

    straight lines are

    perpendicular when

    gradients of both lines are

    known and vice versa.

    5.4 Determine the equationof a straight line that

    passes through a fixed

    point and perpendicular to

    a given line.

    5.5 Solve problems

    involving equations of

    Use example of real-lifesituations to exploreparallel endperpendicular lines.

    Use graphic calculatorand dynamic geometrysoftware such asGeometers Sketchpadto explore the conceptof parallel andperpendicular lines.

    Emphasize that for

    parallel lines:

    21 mm =

    Emphasize that for

    perpendicular lines :

    121 =mm

    Derivation of

    121 =mm is not

    required.

    Moral ValuesCooperationGratitudeCarefulSystematic

    Teaching Aids/MaterialExact SystematicICTGrid Board

    TeachingStrategiesSelf AccessLearningLearn How to

    StudyMultipleIntelligentConstructivismapproach

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    straight lines.

    6. Understand anduse the concept ofequation of locusinvolving distancebetween two

    points.

    6.1 Find the equations of

    locus that satisfies the

    condition if:

    a) The distance of a moving

    point from a fixed point isconstant;

    b) The ratio of the distances

    of a moving point from two

    fixed points is constant.

    6.2 Solve problems

    involving loci.

    Use examples of real-

    life situations to

    explore equation of

    locus involving

    distance between two

    points.

    Use graphic calculator

    and dynamic geometry

    software such as

    Geometers Sketchpad

    to explore the concept

    of loci.

    Moral ValuesCooperationGratitudeCarefulSystematic

    Teaching Aids/MaterialExact SystematicICTGrid Board

    171. Understand and use

    the concept ofmeasures of centraltendency to solveproblems.

    1.1 Calculate the mean of

    ungrouped data.

    1.2 Determine the mode ofungrouped data.

    1.3 Determine the median ofungrouped data.

    Use

    scientific calculators,graphing calculatorsand spreadsheets toexplore measures ofcentral tendency.

    Student

    Discuss grouped data and

    ungrouped data. Moral ValuesCooperationGratitudeCarefulSystematic

    Teaching Aids/Material

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    1.4 Determine the modal classof grouped data from

    frequency distributiontables.

    1.5 Find the mode fromhistograms.

    s collect data fromreal-life situations toinvestigate measuresof central tendency.

    Involve uniform class

    intervals only.

    Exact SystematicICTGrid Board

    TeachingStrategiesSelf AccessLearningLearn How toStudyMultipleIntelligentConstructivismapproach

    1.6 Calculate the mean ofgrouped data.

    1.7 Calculate the median ofgrouped data fromcumulative frequencydistribution tables.

    1.8 Estimate the median ofgrouped data from an

    ogive.1.9 Determine the effects onmode, median and meanfor a set of data when:a) each data is changed

    uniformly;b) extreme values exist;

    Derivation of the medianformula is not required.

    Ogive is also known ascumulative frequencycurve.

    Involvegrouped and

    TeachingStrategies

    Self AccessLearningLearn How toStudyMultipleIntelligentConstructivismapproach

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    c) certain data is addedor removed.

    1.10 Determine the mostsuitable measure of centraltendency for given data.

    ungrouped data

    182. Understand and use

    the concept ofmeasures ofdispersion to solveproblems.

    2.1 Find the range ofungrouped data.

    2.2 Find the interquartile rangeof ungrouped data.

    2.3 Find the range of groupeddata.

    2.4 Find the interquartile rangeof grouped data from thecumulative frequencytable.

    2.5 Determine the interquartilerange of grouped datafrom an ogive.

    2.6 Determine the variance of

    a) ungrouped data;b) grouped data.

    2.7 Determine the standarddeviation of:a) ungrouped data

    b) grouped data.

    Determine upper and lowerquartiles by using the firstprinciple.

    Vocabulary

    measure of centraltendency

    mean

    mode

    median

    ungrouped data

    frequencydistribution table

    modal class

    uniform classintervalhistogram

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    2.8 Determine the effects onrange, interquartile range,

    variance and standarddeviation for a set of datawhen:a) each data is changed

    uniformly;b) extreme values exist;c) certain data is added

    or removed.

    2.9 Compare measures ofcentral tendency anddispersion between twosets of data.

    Emphasise that

    comparison between twosets of data using onlymeasures of centraltendency is not sufficient.

    Mid Term Examination Week 19 - 20

    CIRCULARMEASURES

    Week21&22

    Students will betaught to:

    1. Understandthe concept ofradian

    Students will be able to:

    Convert measurements inradians to degrees and viceversa.

    Use dynamic geometrysoftware such asGeometers Sketchpadto explore the conceptof circular measure.

    Or

    Use worksheets ofPolya's method toexplore the concept ofcircular measures

    Discuss the definition ofone radian.rad is theabbreviation of radian.Include measurementsin radians expressed in

    terms of

    Moral ValuesRational,patience

    TeachingAids/materials

    Scientificcalculator,Geometerssketchpad,geometric set

    CCTS

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    Compare andcontrast

    TeachingStrategiesContextual

    VocabularyRadian,Degree

    2. Understandand use theconcept oflength of arc of

    a circle tosolveproblems.

    2.1Determinea) length of arcb) radiusc) angle subtended

    at the center of acircle.

    Based on giveninformation.

    2.2Find the perimeter ofsegments of circles

    2.3Solve problemsinvolving lengths ofarc.

    Use examples of real life situations toexplore circularmeasure.

    Or

    Use an experimentmethod to enhance theconcept of length of anarc of a circle.

    Moral ValuesDiligence,cooperate

    TeachingAids/materialsScientificcalculator,GeometersSketchpad,geometric set

    CCTSIdentifyingrelationship

    CIRCULARMEASURES

    23

    Students will betaught to:

    3. Understand anduse the conceptof area of sector

    Students will be able to:3.1Determine :

    a) area of sectorb) radius andc) angle subtended at

    Use GeometersSketchpad todifferentiate betweenarea of a sector andarea of segments ofcircles.

    Moral ValuesDiligencecooperationfreedom

    Teaching

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    of a circle tosolve problems .

    the centre of abased on giveninformation

    3.2Find area of segmentsof circles.

    3.3Solve problemsinvolving area ofsectors.

    Or

    Use worksheets ofPolya's method toexplore the concept ofarea of sector of acircle.

    Aids/materialsScientificcalculator,

    GeometersSketchpad,geometric set

    CCTSIdentifyinginformationProblem solving

    TeachingStrategiesMastery Learning

    MultipleIntelligent

    VocabularyAreaSector

    DIFFERENTIATION

    Week24 - 27

    1. Understand anduse the conceptof gradients ofcurve and

    differentiation.

    Level 11.1 Determine value of

    a function when itsvariable approaches a

    certain value.

    1.2 Find gradient of achord joining twopoints on a curve

    Level 2

    Use graphingcalculator or dynamicgeometry software

    such as GeometersSketchpad to explorethe concept ofdifferentiation.

    Idea of limit to afunction can beillustrated using

    graphs.

    Concepts of firstderivative of afunction areexplained as a

    Moral value :accurately

    Pedagogy :ContextualVocabulary :limit, tangent,First derivative,gradient,induction, curve

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    1.3 Find the firstderivative of afunction y=f(x) as

    gradient of tangent toits graph

    1.4 Find the firstderivative forpolynomial using firstprinciples.

    1.5 Deduce the formulafor first derivative offunction

    y= axn

    by induction.

    tangent to a curvecan be illustratedusing graphs.

    Limit y = axn,a , n are constantsn = 1,2,3.Notation f(x)

    equivalent todx

    dy

    when y= f(x).F(x) read as f primex.

    , fixed point

    Moral value :rationalPedagogy :MasteryLearning

    2. Understand anduse the conceptof first derivativeof polynomialfunctions tosolve problems.

    Level 22.1 Determine firstderivative of the functiony = axn using formula.

    2.2 Determine value ofthe first derivative ofthe function y== axn

    for a given value of x2.3 Determine first

    derivative of afunction involvinga. addition orb. subtraction

    algebraic terms.2.4 Determine first

    derivative of a product

    Formula y = axn ,then

    dx

    dy= naxn-1

    a, n are constant andn integer.y is a function of x.

    Find dx

    dy

    when y=f(x)+ g(x) or y=f(x) g(x), f(x) and g(x) isgiven

    When y=uv, then

    Moral value :rationalPedagogy :MasteryLearning

    Pedagogy :

    Creativethinking

    ABM : OHP

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    of two polynomials.2.5 Determine first

    derivative of a

    quotient of twopolynomials

    2.6 Determine firstderivative ofcomposite functionusing chain rule.

    2.7 Determine gradientof tangent at a pointon a curve.

    2.8 Determineequation of tangent ata point on a curve.

    2.9 Determineequation of normal ata point on a curve

    dx

    duv

    dx

    dvu

    dx

    dy+=

    When y=v

    u, then

    2v

    dx

    dvu

    dx

    duv

    dx

    dy

    =

    y=f(u) and u=g(x),then

    dx

    duX

    du

    dy

    dx

    dy=

    Limit cases inlearning outcomes2.7 2.9 to rulesIntroduced in 2.4 2.6.

    Vocabulary:

    product,quotient,Compositefunction, chainrule,Normal.

    Moral value :independents,cooperationPedagogy:Masteringlearning.

    3. Understand anduse the concept ofmaximum and

    minimum values tosolve problems.

    Level 23.1 Determinecoordinates of

    turning points of a curve.

    3.2 Determine whether aturning points is amaximum or minimumpoint

    Use graphingcalculator or dynamicgeometry software

    such as Graphmaticasoftware to explorethe concept ofmaximum andminimum values.

    Emphasis the use offirst derivative to

    determine turningpoints.

    Exclude points ofinflexion

    Limit problems to two

    Moral Values :Independendant

    Cooperation

    CCTS:Identifying

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    Strategies/Skills

    Level 33.3 Solve problems

    involving maximum orminimum values

    variables only. relationshipTeachingStrategies :

    MasteryLearning

    4. Understand anduse the concept ofrates of change tosolve problems

    Level 24.1 Determine rates ofchange for relatedquantities

    Use graphingcalculator withcomputer baseranger to explore theconcept of rates ofchange.

    Limit problems to 3variables only

    Moral Values :Cooperation

    CCTS:Identifyingrelationship

    Teaching

    Strategies :Problem solvingContextual

    5. Understand anduse the concept ofsmall changes andapproximations tosolve problems

    Level 25.1 Determine smallchanges in quantities5.2 Determineapproximate values usingdifferentiation

    y dy

    x dx

    Exclude casesinvolving percentagechange

    Moral Values :SincereHardworking

    CCTS:

    TeachingStrategies :MasteryLearning

    6. Understand anduse the concept of

    Level 26.1 Determine second Moral Values :

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    Area

    Learningobjectives

    Learning outcomesSuggestedactivities

    Points to noteTeaching

    Strategies/Skills

    second derivativeto solve problems

    derivative of function y =f(x)6.2 determine whether a

    turning point is maximumor minimum point of acurve using the secondderivative.

    Introduce d2y asdx2

    d dy ordx dx

    f(x) = )]('[ xfdx

    d

    IndependendantCooperation

    CCTS:Identifyingrelationship

    TeachingStrategies :MasteryLearning

    Week

    28 - 30

    SOLUTION OF

    TRIANGLES

    1. Understand anduse the conceptof sine rule tosolve problems

    1.1 Verify sine rule

    1.2 Use sine rule tofind unknown sides or

    angles of a triangle.

    1.3 Find unknown sidesand angles of atriangle in an

    Using GSP to verifythe sine rule.

    Discuss the acuteangle triangle and

    obtuse angle triangle.

    Discuss on ambiguitycases where

    i) non-included

    Include obtuse-angled triangles

    Sine ruleAcute-angledtriangleObtuse-angledtriangleAmbiguous

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    Strategies/Skills

    2. Understand anduse the conceptof cosine rule to

    solve problems

    ambiguous case.

    1.4 Solve problemsinvolving the sine rule.

    2.1 Verify cosine rule

    2.2 Use cosine rule tofind unknown sides or

    angles of a triangle.

    2.3 Solve problemsinvolving cosine rule

    Level 32.4 Solve problemsinvolving sine and cosine

    angle isgiven

    ii) a < b

    Questions involvingreal-life situations

    Use GSP to explorethe concept of cosinerule

    Cosine rule

    abkosCbac 2222 +=

    -Teams Work-Brainstorming

    Discuss the acuteangle triangle andobtuse angle triangle.

    - Teams WorkDiscussion

    Non-rutin question

    Area of triangle =

    Include obtuse-angled triangles

    Cosine rule

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    Learning outcomesSuggestedactivities

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    Strategies/Skills

    3. Understand anduse the

    formula for area

    oftriangles to solveproblems

    rules

    Level 23.1 Find area of triangleusing formula

    Cab sin2

    1or its

    equivalent

    Level 3

    3.2 Solve problemsinvolving three-dimensional

    objects

    Cab sin2

    1

    Related to suitablecontent

    -Teams work

    Three-dimensionalobject

    INDEXNUMBER

    Week 31 &33

    Students will be taughtto:

    1. Understand and usethe concept of indexnumber to solveproblems.

    Students will be able to:

    1.1 Calculate index number.1.2 Calculate price index.1.3 Find Q0 or Q1 givenrelevant information.

    Explain index number.

    1000

    1 =Q

    QI

    =0Q Quantity at base

    time.=1Q Quantity at specific

    time.

    Use example of real-lifesituations to exploreindex numbers.

    Index number has nounits and no % symbol.

    Q1 and Q0 must be of thesame unit.

    Moral valuesAccurate

    Teaching aids/Materials:

    Newspaper

    Vocabulary:Index number,Price index,quantity at basetime, quantity at

    specific time.

    Pedagogy:

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    Strategies/Skills

    Contextual

    2. Understand and use the

    concept of composite index

    to solve problems

    2.1 Calculate composite index.

    2.2 Find index number or weightage

    given relevant information.

    2.3 Solve problems involving index

    number and composite index

    Explain weightage and

    composite index.

    =

    i

    ii

    W

    IWI

    Use examples of real-life

    situations to explore composite

    index.

    Wcan be simplified

    to the smallest number

    according to ratio.

    Moral Values:

    Accurate

    Vocabulary:

    Composite index

    Weightage

    34 Revision ( Final SBP form 4 2006)

    35 Revision ( Final Melaka Form 42006)

    36 Revision ( Final SBP 2005)

    37 Pep PMR / Akhir Tahun

    38 Final Exam SBP

    39 Final Exam SBP

    25

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    Strategies/Skills

    40 Progression

    41 Progression

    42 Progression

    26