yearly lesson plan add math f5

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  • 8/9/2019 Yearly Lesson Plan Add Math F5

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  • 8/9/2019 Yearly Lesson Plan Add Math F5

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    Week

    /Date

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able to

    No of

    Periods

    uggested !eaching " Learning

    activities/Learning kills/#alues

    Points to Note

    progressions

    c) he !a$ue of n & gi!enthe sum of the first n

    terms of arithmeticprogressions

    1.6 )o$!e pro#$em in!o$!ingarithmetic progressions

    2

    'a$ues ( onnection #eteen

    *athematics and rea$-$ife

    situations

    )ki$$s ( ,ro#$em so$!ing

    ,edagogy ( onstructi!ism&

    conte%tua$ $eraning&

    cooperati!e $earning

    Discuss cases in a$ge#raic

    form& in!o$!es dai$y $ifee%amp$es

    'a$ues ( onnection #eteen

    *athematics and dai$y $ife

    situations& cooperati!e

    )ki$$s ( Interpretation& pro#$em

    so$!ing

    ,edagogy ( *astery $earning&

    conte%tua$ and cooperati!e

    $earning.

    Inc$ude pro#$ems in!o$!ing

    rea$-$ife situations.

    Yearly Plan Additional Mathematics Form 5

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  • 8/9/2019 Yearly Lesson Plan Add Math F5

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    Week

    /Date

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able to

    No of

    Periods

    uggested !eaching " Learning

    activities/Learning kills/#alues

    Points to Note

    Week 4

    21/1/2013

    -

    26/1/2013

    2.6 ind

    a. the sum to infinity of geometric

    progression

    #. the first term or common ratio&

    gi!en the sum to infinity of

    geometric progressions

    2.= so$!e pro#$em s in!o$!inggeometric progressions

    1

    2

    ,edagogy(onte%tua$ ;cooperati!e $earning

    Use e%amp$es such as yoyo&

    pendu$um to e%p$ain the

    formu$a

    'a$ues ( %amp$e& sa!ings.

    'a$ues (

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    !opic/Learning $rea $l & Linear law ''' * weeks

    WeekNo

    Learning ObjectivesPupils will be taught

    to.....

    Learning OutcomesPupils will be able to

    No ofPeriods

    uggested !eaching " Learningactivities/Learning kills/#alues

    Points to Note

    Week

    6 ; =

    27/1/2013

    -

    7/2/2013

    1. Understand anduse the concept of

    $ines of #est fit.

    2.

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    !opic/Learning $rea +*& ,ntergration ''' ( weeks

    Week 7

    11-16 e#5

    uti ahun

    aru ina

    Week E

    17/2/2013

    -

    22/2/2013

    1. Understand anduse the conceptindefinite integra$.

    1.1 Determine integra$s #yre!ersing differentiation.

    1.2 Determine integra$ ofnax &

    here a is a constant and n

    is an integer& 1n .1.3 Determine integra$ of

    a$ge#raic e%pressions

    1.4 ind the constants of

    integrations& c & in indefiniteintegra$s.

    1

    1

    1

    1

    Use computer softare such

    as Ceometer8s sketchpad to

    e%p$ore the concept of

    integrations.

    'a$ues ( mphasise constant of

    integration.

    read as ?integration

    ofy

    ith respect to x @

    Week E

    26/2/2013

    -

    1/3/2013

    1.6 Determine e"uations of

    cur!es from functions of

    gradients

    1.= Determine #y )u#stitution

    the integra$s of e%pressionsof the form

    ( )nax b+&

    here a and b areconstants& n is an integer and

    1n

    1

    1

    Use computer softare and

    graphing ca$cu$ator

    )ki$$s( o#ser!ing

    connection& recogni+ing

    pattern

    ,edagogy ( constructi!ism&coperati!e $earning

    'a$ue (

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    Week 10

    4/3/2013

    -

    7/3/2013

    2. Understand anduse the concept ofdefinite integra$.

    2.1 ind definite integra$ ofa$ge#raic e%pressions.

    2.2 ind areas under cur!es asthe $imit of a sum of areas.

    2.3 Determine areas undercur!es using formu$a

    2.4 ind !o$umes of re!o$ution

    hen region #ounded #y a

    cur!e is rotated comp$ete$ya#out the

    a. %-a%is

    #. y-a%is

    as the $imit of a sum of!o$umes.

    2.6 Determine !o$umes ofre!o$ution using formu$a.

    1

    1

    1

    1

    1

    Use scientific or graphing

    ca$cu$ators to e%p$ore the

    comcept of definite interga$s

    Use computer softare and

    graphing ca$cu$ator to e%p$ore

    areas under cur!es and the

    significance of negeti!e and

    positi!e !a$ues of areas.

    Use dynamic computer

    softare to e%p$ore !o$umes

    of re!o$ution

    'a$ues ( )istematik& accurate&

    rasiona$

    )ki$$s ( )eeing connection.

    :ecognise re$ationship

    ,edagogy ( ooperati!e

    $earning& thinking ski$$

    Inc$ude

    Deri!ation of fornu$ae notre"uired

    9imit to one cur!e

    Deri!ation of formu$ae not

    re"uired

    9imit !o$umes of re!o$ution

    a#out thex-a%is ory-a%is

    =b

    a

    b

    a

    dxxfdxxf 55

    =b

    a

    b

    a

    dxxfkdxxkf 5353

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    Week 11

    11/3/2013

    -

    16/3/2013

    Week 1217/3/2013

    -

    22/3/2013,ep 1

    seko$ah5

    Week 13

    23-31 *ac

    uti

    )eko$ah5

    2. Understand anduse the concept ofdefinite integra$.

    2.1 ind definite integra$ ofa$ge#raic e%pressions.

    2.2 ind areas under cur!es asthe $imit of a sum of areas.

    2.3 Determine areas undercur!es using formu$a

    2.4 ind !o$umes of re!o$ution

    hen region #ounded #y a

    cur!e is rotated comp$ete$ya#out the

    a. %-a%is

    #. y-a%is

    as the $imit of a sum of!o$umes.

    2.6 Determine !o$umes ofre!o$ution using formu$a.

    1

    1

    1

    1

    1

    Use scientific or graphing

    ca$cu$ators to e%p$ore the

    comcept of definite interga$s

    Use computer softare and

    graphing ca$cu$ator to e%p$ore

    areas under cur!es and the

    significance of negeti!e and

    positi!e !a$ues of areas.

    Use dynamic computersoftare to e%p$ore !o$umes

    of re!o$ution

    'a$ues ( )istematik& accurate&

    rasiona$

    )ki$$s ( )eeing connection.

    :ecognise re$ationship

    ,edagogy ( ooperati!e

    $earning& thinking ski$$

    Inc$ude

    Deri!ation of fornu$ae not

    re"uired

    9imit to one cur!e

    Deri!ation of formu$ae not

    re"uired

    9imit !o$umes of re!o$ution

    a#out thex-a%is ory-a%is

    !opic/Learning $-$ * & #ector ''' 0 WeeksWeek 14

    1/4/2013

    -

    1. Understand anduse the concept of

    !ector.

    1.1 Differentiate #eteen !ectorand sca$ar "uantities.. 1

    Use e%amp$es from rea$-$ife

    situations and dynamic

    computer softare such as

    Ceometer8s )ketchpad to

    Use notations (

    'ector ( a,AB , a 1 $2.

    =b

    a

    b

    a

    dxxfkdxxkf 5353

    =b

    a

    b

    a

    dxxfdxxf 55

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    $a $earning

    Week 1=

    16/4/2013

    -

    1E/4/2012

    2.4 )u#tract to !ectors hichare(

    a5 para$$e$

    #5 non-para$$e$

    2.6 :epresent !ectors as acom#ination of other!ectors.

    2.= )o$!e pro#$ems in!o$!ingaddition and su#traction of

    !ectors.

    1

    1

    2

    Use e%amp$es to introduce

    the concept su#traction of

    to !ectors is e"ua$ to

    addition of negati!e !ectors

    'a$ues ( arefu$

    )ki$$s ( )ynthesis

    ,edagogy ( hinking ski$$s

    >mphasise(

    a - +a 5

    Week 1

    22/4/2013

    -

    2=/4/2013

    3. Understand anduse !ectors inartesian p$ane

    3.1 >%press !ectors in the form (

    a5 x i y

    #5

    3.2 Determine magnitudes of

    !ectors

    3.3 Determine unit !ectors in

    gi!en directions

    2

    Use computer softare toe%p$ore !ectors in the

    artesian p$ane .

    'a$ues ( )ystematic

    )ki$$s ( *aking connection ,edagogy ( hinking ski$$s

    >%p$ain the meaning of

    :e$ate unit !ector i and J to

    artesian coordinates .

    >mphasise(

    'ector i and

    'ector

    or $earning outcomes 3.2 to

    y

    x

    0

    1

    1

    0

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    3.4 %p$ain the meaning of

    mu$tip$ying !ectors #y

    sca$ars

    'a$ues (

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    Week 17

    2E/4/2013

    -

    3/6/2013

    1. Understand theconcept of positi!eand negati!e ang$esmeasured in degreesand radians.

    1.1 :epresent in artesianp$ane& ang$es greater than

    3=0K or 2radians for(

    a5 positi!e ang$es

    #5 negati!e ang$es

    negati!e ang$es

    2 Use dynamic computer

    softare such as Ceometer8s)ketchpad to e%p$ore ang$es

    in artesian p$ane.

    >%p$ain the meaning of

    positi!e ang$es and negati!eang$es

    'a$ues ( :ationa$ thinking

    )ki$$s ( Draing re$e!antdiagrams& recogni+ere$ationship

    ,edagogy ( onstructi!ism

    Week 1E

    =/6/2013

    -

    10/6/2013

    2. Understand anduse the si%trigonometricfunctions of anyang$e.

    2.1 Define sine& cosine& and

    tangent of any ang$e in

    artesian p$ane.

    2.2 Define cotangent& secant and

    cosecant of any ang$e in a

    2 Use dynamic computer

    softare to e%p$ore

    trigonometric functions in

    degrees and radians.

    'a$ues ( )ystematic&

    cooperati!e

    Use unit circ$e to determine the

    sign of trigonometric ratios(

    >mphasise(

    sin cos E0-5

    cos sin E0- 5

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    artesian p$ane.

    2.3 ind !a$ues of si%

    trigonometric functions of

    any ang$e

    2.4 )o$!e trigonometric

    e"uations.

    2

    )ki$$s ( :ecogni+e

    re$ationship& app$ication of

    formu$a

    ,edagogy ( onstructi!ism&

    cooperati!e $earning

    :eca$$ the si% trigonometric

    functions of any ang$e to

    so$!e trigonometric e"uations

    'a$ues ( )ystematic and

    accurate

    )ki$$s ( *aking connection&app$ication of formu$a&

    pro#$em so$!ing

    ,edagogy ( onte%tua$

    tan cot E0- 5

    cosec sec E0- 5

    sec cosec E0- 5

    cot tan E0- 5

    >mphasise the use of

    triang$es to findtrigonometric ratios for

    specia$ ang$es 30K& 46K& and

    =0K.

    3. Understand anduse graphs of sine&cosine and tangentfunctions.

    3.1.Dra and sketch graphs oftrigonometric functions(

    a) y c asin bx

    b) y c acos bx

    c5 y c atan bx

    herea, b andc are

    constants and b > 0 ,a 0.3.2.Determine the num#er of

    so$utions to a trigonometrice"uation using sketchedgraphs.

    3.3.)o$!e trigonometric

    2

    1

    2

    Use e%amp$es from rea$-$ife

    situations to introduce graphs

    of trigonometric functions.

    Use graphic ca$cu$ators and

    dynamic computer softare

    such as Ceometer8s

    )ketchpad to e%p$ore graphs

    of trigonometric functions.

    'a$ues ( arefu$& sistematik

    )ki$$s ( )ketching graphs&

    making connection& making

    comparison

    ,edagogy ( *u$tip$e

    inte$$egence

    >%paination and

    Use ang$es in

    a5 degrees

    #5 radians& in terms of L

    >mphasise the characteristics of

    sine& cosine and tangent graphs.

    Inc$ude trigonometric functions

    in!o$!ing modu$us.

    >%c$ude com#inations of

    trigonometric functions.

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    e"uations using drangraphs.

    demonstration #y teacher

    'a$ues ( eat and

    hardorking

    )ki$$s ( ,ro#$em so$!ing

    ,edagogy ( 9ogic

    *athematics

    4. Understand anduse #asic identities

    4.1 ,ro!e #asic identities (

    a5sin2A + cos2A = 1

    #5 1 tan2A sec2A

    c5 1 cot2A cosec2A

    4.2 ,ro!e trigonometric

    identities using #asicidentities.

    4.3 )o$!e trigonometrice"uations using #asic

    identities.

    1

    1

    2

    Use scientific or graphing

    ca$cu$ators and dynamic

    computers softare such as

    Ceometer8s )ketchpad toe%p$ore #asic identities.

    'a$ues ( Determination&

    carefu$& rationa$

    )ki$$s ( :ecognise

    re$ationship& making

    connection and app$ication&

    pro#$ems so$!ing

    ,edagogy ( onte%tua$

    asic identities are a$so knon

    as ,ythogorean identites

    Inc$uding $earning outcomes 2.1

    and 2.2

    6. Understand and

    use additionformu$ae anddou#$e-ang$eformu$ae

    6.1 ,ro!e trigonomotric

    identities using addtionformu$ae for sin A B5& cosA B5& andtanA B5.

    6.2 Deri!e dou#$e-ang$e

    formu$ae for sin 2A& cos 2A

    and tan 2A.

    2

    2

    Use dynamic computer

    softare such as Ceometer@s)ketchpad to e%p$ore addition

    formu$ae and dou#$e-ang$e

    formu$ae.

    'a$ues ( Determination&

    carefu$& systematic

    )ki$$s ( *enta$ process&

    Deri!ation of addition formu$ae

    not re"uired.

    Discuss ha$f-ang$e formu$ae

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note

    6.3 ,ro!e trigonomotric

    identities using addition

    formu$ae and/or dou#$e-

    ang$e formu$ae.

    6.4 )o$!e trigonometric

    e"uations.

    3

    making connection and

    app$ication& pro#$em so$!ing

    ,edagogy ( onte%tua$& 9ogic

    *athematics& ria$ and error&

    *astery $earning

    >%c$ude

    Acosxbsinx c&

    here cM 0

    Week

    No

    Learning Objectives

    Pupils will be taughtto.....

    Learning Outcomes

    Pupils will be ableto

    No of Periods uggested !eaching "

    Learningactivities/Learning

    kills/#alues

    Points to Note /

    #ocabular4

    !opic/Learning $rea * & Permutations and +ombinations ''' ( weeks

    1. Understand anduse the concept of

    permutations.

    1.1 Determine the tota$ num#erof ays to performsuccessi!e e!ents usingmu$tip$ication ru$e.

    1.2 Determine the num#er of

    permutations of ndifferento#Jects.

    1.3 Determine the num#er ofpermutations of ndifferento#Jects taken rat a time.

    1.4 Determine the num#er of

    permutations of ndifferent

    1

    1

    Using manipu$ati!e materia$s to

    e%p$ore mu$tip$ication ru$e.

    Use rea$-$ife situations and

    computer softare such as

    spreadsheet to e%p$ore

    permutations. 'a$ues( )ystematic& to$erance&

    cooperation.

    )ki$$s( 9ogica$ thinking&

    synthesi+e

    ,edagogy( onte%tua$ $earning&

    constructi!ism& cooperati!e

    $earning.

    *u$tip$ication ru$e& successi!e

    e!ents& permutation& factoria$&

    arrangement& order.

    or this topic (

    a) Introduce the concept #y

    using numerica$ e%amp$es.b) a$cu$ators shou$d on$y #e

    used after students ha!e

    understood the concept.

    9imit to 3 e!ents.

    >%c$ude cases in!o$!ing

    identica$ o#Jects.

    >%p$ain the concept of

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note /

    #ocabular4

    o#Jects for gi!en conditions.

    1.6 Determine the num#er ofpermutations of ndifferento#Jects taken rat a time forgi!en conditions.

    %c$ude cases in!o$!ing

    arrangement of o#Jects in acirc$e.

    2. Uunderstand anduse the concept ofcom#inations.

    2.1 Determine the num#er of

    com#inations of ro#Jects

    chosen from ndifferent

    o#Jects.

    2.2. Determine the num#er of

    com#inations ro#Jects chosen

    from ndifferent o#Jects for

    gi!en conditions.

    1

    1

    >%p$ore com#inations using rea$-

    $ife situations and computer

    softare.

    'a$ues( Di$igence& confidence.

    )ki$$s( *enta$ process& generate

    idea.

    ,edagogy( uture in!estigation

    >%p$ain the concept of

    com#inations #y $isting a$$

    possi#$e se$ections.

    Use e%amp$es to i$$ustrate

    !opic/Learning $rea (& Probabilit4 ''' ( weeks

    1. Understand and

    use the concept ofpro#a#i$ity.

    1.1 Descri#e the samp$e space of

    an e%periment. 1 Use rea$-$ife situations to

    introduce pro#a#i$ity

    Use set notations.

    Discuss(

    Nr

    ! r

    n

    rn =

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note /

    #ocabular4

    1.2 Determine the num#er of

    outcomes of an e!ent.

    1.3 Determine the pro#a#i$ity of

    an e!ent.

    1.4 Determine the pro#a#i$ity

    of to e!ents(

    a5 AorBoccurring

    #5 A andB occurring

    1

    1

    1

    Use manipu$ati!e materia$s&

    computer softare and scientific

    or graphing ca$cu$ators toe%p$ore the concept of

    pro#a#i$ity.

    'a$ues( ooperation

    )ki$$s( omparing and

    contrasting& app$ying.

    ,edagogy( onstructi!ism&

    conte%tua$ $earning. ree diagram

    a5 $assica$ pro#a#i$ity

    theoretica$ pro#a#i$ity5

    #5 )u#Jecti!e pro#a#i$ity

    :e$ati!e fre"uency

    pro#a#i$ity e%perimenta$

    pro#a#i$ity5.

    >mphasise(

    Bn$y c$assica$ pro#a#i$ity is

    used to so$!e pro#$ems.

    >mphasise(

    ,AB),A) 5 5 B A B+ Using 'enn diagrams

    >%periment& samp$e space&

    e!ent& outcome& e"ua$$y $ike$y&

    pro#a#i$ity& occur& c$assica$

    pro#a#i$ity& theoretica$

    pro#a#i$ity& su#Jecti!e

    pro#a#i$ity& re$ati!e fre"uency

    pro#a#i$ity& e%perimenta$

    pro#i$ity

    2. Understand anduse the concept of

    pro#a#i$ity of

    mutua$$y e%c$usi!ee!ents

    2.1 Determine hether to

    e!ents are mutua$$y e%c$usi!e.

    2.2 Determine the pro#a#i$ity of

    to or more e!ents that are

    mutua$$y e%c$usi!e.

    1

    1

    Use manipu$ati!e materia$s and

    graphing ca$cu$ators to e%p$ore

    the concept of pro#a#i$ity of

    mutua$$y e%c$usi!e e!ents.

    Use computer softare to

    Inc$ude e!ents that are mutua$$y

    e%c$usi!e and e%hausti!.

    9imit to three mutua$$y

    e%c$usi!e e!nts.

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note /

    #ocabular4

    simu$ate e%periments in!o$!ing

    pro#a#i$ity of mutua$$y e%c$usi!e

    e!ents.

    'a$ues( Di$igence

    )ki$$s( making connections

    ,edagogy( onstructi!ism&

    conte%tua$ $earning.

    *utua$$y e%c$usi!e e!ent&

    e%hausti!e& independent tree

    diagrams

    3. Understand and

    use the concept ofpro#a#i$ity ofindependente!ents.

    3.1 Determine hether to

    e!ents are independent.3.2 Determine the pro#a#i$ity of

    to independent e!ents.

    3.3 Determine the pro#a#i$ity of

    three independent e!ents.

    1

    1

    1

    Use manipu$ati!e materia$s and

    graphing ca$cu$ators to e%p$orethe concept of pro#a#i$ity of

    independent e!ents.

    Use computer softare to

    simu$ate e%periments in!o$!ing

    pro#a#i$ity of independent

    e!ents

    'a$ues( Di$igence

    )ki$$s( making connections

    ,edagogy( onstructi!ism

    Inc$ude tree diagrams

    !opic/Learning $rea 0& Probabilit4 Distributions ''' ( weeks

    1. Understand anduse the concept of

    #inomia$ distri#ution.

    1.1 9ist a$$ possi#$e !a$ues of adiscrete random !aria#$e

    1.2 Determine the pro#a#i$ity ofan e!ent in a #inomia$

    1

    1

    Use rea$-$ife situations to

    introduce the concept of

    #inomia$ distri#ution.

    Use graphing ca$cu$ators and Inc$ude the characteristics of

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note /

    #ocabular4

    2.= )o$!e pro#$ems in!o$!ingnorma$ distri#ution.

    1

    1

    orma$ distri#ution

    )tandard norma$ distri#ution

    +-!a$ue

    standardised !aria#$e

    !opic/Learning $rea $!*& 5otion $long traight Line ''' * weeks

    1. Understand the use

    and concept ofdisp$acement

    1.1 Identify direction ofdisp$acement of a partic$e

    from a fi%ed point.1.2 Determine disp$acement of a

    partic$e from a fi%ed point.

    1.3 Determine the tota$ distance

    tra!e$$ed #y a partic$e o!er atime inter!a$ using graphica$

    method.

    1

    1

    Use rea$-$ife e%amp$es& graphing

    ca$cu$ators and computer

    softare such as Ceometer8s)ketchpad to e%p$ore

    disp$acement.

    'a$ues( )ystematic& precision

    )ki$$s( *aking conc$usion&

    so$!ing pro#$ems

    ,edagogy( onte%tua$ $earning&

    mastery $earning& constructi!ism

    >mphasise the use of the

    fo$$oing sym#o$s(

    s disp$acement% !e$ocitya acce$eration

    & time

    heres& %and aare functions

    of time.

    >mphasise the difference

    #eteen disp$acement and

    distance.

    Discuss positi!e& negati!e and

    +ero disp$acement.

    Inc$ude the use of num#er $ine.

    2. Understand and

    use the concept of!e$ocity.

    2.1 Determine !e$ocity function

    of a partic$e #y

    differentiation.

    2.2 Determine instantaneous

    !e$ocity of a partic$e.

    1

    Use rea$-$ife e%amp$es& graphing

    ca$cu$ators and computer

    softare such as Ceometer8s

    )ketchpad to e%p$ore the concept

    of !e$ocity.

    >mphasise !e$ocity as the rate

    of change of disp$acement.

    Inc$ude graphs of !e$ocity

    functions.

    Discuss(

    a) uniform !e$ocity

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note /

    #ocabular4

    1.3 )hade region on the graphthat satisfies se!era$ $inearine"ua$ities.

    1.4 ind $inear ine"ua$ities thatdefines a shaded region.

    1

    1

    )ki$$s( *aking diagram

    ,edagogy( *u$tip$e inte$$egence

    thex-a%is andy-a%is5

    9inear programming& $inear

    ine"ua$ity& dashed $ine& so$id

    $ine& region& define& satisfy.

    2. Understand anduse the concept of

    $inear programming.

    2.1 )o$!e pro#$ems re$ated to

    $inear programming #y

    a5 riting $inear ine"ua$ities

    and e"uations descri#ing

    a situation#5 shading the region of

    feasi#$e so$utions.

    c5 determining and draing

    the o#Jecti!e functionax y=

    here a, b

    and kare constants.

    d5 determining graphica$$y

    the optimum !a$ue of the

    o#Jecti!e function.

    1

    1

    1

    1

    'a$ues( ooperation& precision

    )ki$$s( *aking connections

    ,edagogy( *u$tip$e inte$$egence

    Bptimum !a$ues refer to

    ma%imum or minimum !a$ues.

    Inc$ude the use of !ertices tofind the optimum !a$ues.

    easi#$e so$ution& o#Jecti!e

    function& para$$e$ $ines& !erte%&

    !ertices& optimum !a$ue&

    ma%imum !a$ue& minimum

    !a$ue.

    P-O6+! WO-7 ( W7O8!,D +9OOL 9O8-

    arry out proJect ork

    In carrying out the proJect ork

    1.1Define the pro#$em/situation

    Use scientific ca$cu$ators& graphing

    ca$cu$ators or computer softare to

    >mphasise the use of ,o$ya8s

    four-step pro#$em so$!ing

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    Week

    No

    Learning Objectives

    Pupils will be taught

    to.....

    Learning Outcomes

    Pupils will be able

    to

    No of Periods uggested !eaching "

    Learning

    activities/Learning

    kills/#alues

    Points to Note /

    #ocabular4

    to #e studied.

    1.2 )tate re$e!ant conJectures

    1.3 Use pro#$em so$!ing strategies

    to so$!e pro#$ems

    1.4 Interpret and discuss resu$ts.

    1.6 Dra conc$usions and/or

    make genera$isations #ased

    on critica$ e!a$uation of

    resu$ts.

    1.= ,resent systematic and

    comprehensi!e ritten reports

    carry out proJect ork.

    )tudents are a$$oed to carry out

    proJect ork in groups #ut ritten

    reports must #e done indi!idua$$y.

    )tudents shou$d #e gi!en

    opportunity to gi!e ora$presentation of their proJect ork.

    process.

    Use at $east to pro#$em

    so$!ing strategies.

    >mphasise reasoning and

    effecti!e mathematica$

    communication.