add math f5 yearly plan 2014 smk sg tapang.doc

8/10/2019 Add Math F5 Yearly Plan 2014 SMK Sg Tapang.doc

1/18

Week

No / Date

Learning Objectives

Pupils will be taught to.....

Learning OutcomesPupils will be able to

Suggested eaching ! Learning

activities/Learning Skills/"alues

Points to Note

opic # $ Progression1

2/1 3/1

1. Understand and use the

concept of arithmetic

1.1 Identify characteristic of

arithmetic progression1.2 Determine whether a given

sequence is an arithmeticprogression

1.3 determine by using theformuaea) specific terms in

arithmetic progressionsb) the number of terms in

arithmetic progression

Use e!ampes from rea"ife

situation# scientific or graphingcacuator and computer softwareto e!pore arithmatic progression

$egin with sequences to

introduce arithmetic andgeometric progression

Incude e!ampes inagebraic form

2

%/1 1&/1

1.4 'ind

a) (he sum of the first nterm of arithmeticprogression

b) (he sum of a specificnumber of consecutiveterms of arithmetic

progressionsc) (he vaue of n # given

the sum of theforst nterms of arithmetic

proression1.5

)ove probem invovingarithmetic progressions

Incudre the use of the

formua(n* )n" )n"1then

Incude probems invovingrea"ife situation

2%/1 1&/1

2. Understand and use theconcept of geometric

progression .

2.1 Identify characteristic ofgeometric progressions

2.2 Determine whether given

sequences is a geometricprogression

2.3 Determine by using formua+a. specific terms in

geometric progression

Use e!ampes from rea"ifesituation# scientific or graphingcacuator and computer software

to e!pore geometric progression

(n* arn"1

Incude e!ampesin agebraic form

1

Yearly Plan Additional Mathematics Form 5 Year 2014


2/18

Week

No / Date

Learning Objectives





Points to Note

opic # $ Progression

313/1 1,/1

b. the number of terms in

geometric progressions2.- 'inda. the sum of the first n terms of

geometric progressionsb. the sum of a specific number

of consecutive terms ofgeometric progressions

c. the vaue of n# given the sumof the first n terms ofgeometric progressions

2. 'ind

a. the sum to infinity ofgeometric progressionb. the first n term or common

ration# given the sum toinfinity of geometric

progressions

2.% sove probem s invovinggeometric progressions

Discuss+

s n n

r then

r

aS

=1

S read as 0 sum toinfinity

Incude recurring decimasimit to 2 recurring digits

such that 3# &.1

!cudea. combination of

arithmetic progressions andgeometric progressions

b. cumuative sequencessuch as 14# 2#34# -##%4#5..

2



3/18

Week

No / Date

Learning Objectives





Points to Note

opic # $ ProgressionWeek

No / Date

Learning Objectives


Learning Outcomes

Pupils will be able to



Points to Note

opic %$ Linear Law-

2&/1 2-/1

2,/1 26/1

3&/1 3/2(ahun $aru

7ina

1. Understand the concept ofines of best fit.

1.1 Draw ines of best fit byinspection of given data

1.2 8rite equation for ines ofbest fit

1.3 Determine vaues ofvariabes from+

a. ines of best fitb. equation of ines of best

fit.

2.1 9educe non"inear reationsto inear form.

2.2 Determine vaues of constant

of non"inear reations given+ a. ines of best fit

b. data2.3 :btain information from

a. ines of best fitb. equations of ines of best

fit.

Use e!ampes from rea ifesituation to introdeuce theconcept of inear aw.

Use graphing cacuator orcomputer software such as;eometerimit data to inearreations between twovariabes

3



4/18

Week

No / Date

Learning Objectives





Points to Note

opic &$ 'N()*)+'ON%

-/2 ,/21. Understand and use theconcept indefinite integra.

1.1 Determine integras byreversing differentiation.

1.2 Determine integra of nax #

where a is a constant and n

is and integer# 1n .

1.3 Determine integra ofagebraic e!pressions

1.- 'ind constants of integrations# c # in indefiniteintegras.

1. Determine equations of

curves from functions ofgradients

Use computer software such as;eometerimit integration ofnu dx

where

u ax b= +

-


5/18

Week

No / Date

Learning Objectives





Points to Note

Week

No / Date

Learning Objectives





Points to Note

?

1,/2 21/2


concept of definite integra.

2.1 'ind definite integra of

agebraic e!pressions.2.2 'ind areas under curves as

the imit of a sum of areas.2.3 Determine areas under

curves using formua2.- 'ind voumes of revoution

when region bounded by acurve is rotated competeyabout thea. !"a!is

b. y"a!isas the imit of a sum ofvoumes.

2. Determine voumes ofrevoution using formua.

Use scientific or graphing

cacuators to e!pore thecomcept of definite intergas

Use computer software and

graphing cacuator to e!poreareas under curves and thesignificance of negetive and

positive vaues of areas.

Use dynamic computer softwareto e!pore voumes of revoution

Incude

=b

a

b

a

dxxfkdxxkf 4343

=b

a

b

a

dxxfdxxf 4343

derivation of fornuae notrequiredimit to one curve

derivation of formuae not

required

imit voumes of revoutionabout the !"a!is or y"a!is


6/18

%


7/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ector6

2-/2 2?/2


concept of vector.

1.1 Differentiate between vector

and scaar quantities..

1.2. Draw and abe directed inesegments to represent vectors.1.3 Determine the magnitudeand direction of vectorsrepresented by directed inesegments.

1.- Determine whether two

vectors are equa.1. @utipy vectors by scaars.

1.% Determine whether twovectors are parae

Use e!ampes from rea"

ife situations anddynamic computersoftware such as

;eometer


8/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ector1&

3/3 %/3


concept of addition andsubtractionn of vectors

2.1 Determine the resutant

vector of two paraevectors.2.2 Determine the resutant

vector of two non"paraevectors using +a4 triange aw

b4 paraeogram aw2.3 Determine the resutant

vector of three or morevectors using the poygonaw

2.- )ubstract two vectors whichare+

a4 parae

b4 non"parae2. 9epresent vectors as a

combination of othervectors.

2.% )ove probems invovingaddition and substraction ofvectors.

Use rea ife situations and

manipuative materias toe!pore addition and subtractionof vectors

mphasise+

a " b * +a bEE

4

11 12

1&/3 21/3

Peperiksaan #

132-/3 2?/3

id erm 0olida1s

1-31/3 -/-

Understand and use vectorsin 7artesian pane

3.1 !press vectors in the form +

a4 ! i F y jG Use computer software toe!pore vectors in the 7artesian

pane .

9eate unit vector i and H to7artesian coordinates .

mphasise+ Aector i *

?


9/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ector

b4

y

x

&

1# Aector j *

1

&

Week

No / Date

Learning Objectives





Points to Note

opic #2$ L'N(+) P)O*)+'N*1

,/- 11/-1. Understand and use theconcept of graphs of inearinequaities.

1.1 Identify and shade the regionon the graph that satisfies ainear inequaity

1.2 'ind the inequaity thatdefines a shaded region.

1.3 )hade region on the graphthat satisfies severa inearinequaities.

1.- 'ind inear inequaities thatdefines a shaded region.

Use rea"ife e!ampes # graphingcacuators and dynamiccomputer software such as;eometerimit to regions defined bya ma!imum of 3 inearinequaities not incuding

the !"a!is and y"a!is4

1%1-/- 1,/-

2. Understand and use theconcept of inear

programming.

%.#)ove probems reated toinear programming bya. writing inear inequaities

and equations describinga situation

b. shading the region offeasibe soutions.

c. determining and drawing :ptimum vaues refer to

6


10/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ector the obHective function

ax by k + =

where a, band kare constants.

d. determining graphicaythe optimum vaue of the

obHective function. .

ma!imum or minimumvaues.

Incude the use of verticesto find the optimum vaues.

opic 3$ P)O+'L'41,

22/- 2/-1. Understand and use theconcept of probabaiity.

1.1 Describe the ame space ofan e!periment

1.2 Determine the number ofoutcomes of an event.

1.3 Determine the probabiity of an event1.- Determine the probabiity of two events+

a4 AorBoccurringb4 A andB occurring

Use rea"ife situations tointroduce probabiity

Use manipuativematerias# computersoftware and scientific orgraphing cacuators toe!pore the concept of

probabiity.

Use set notations.

Discuss+a4 7assica

probabiitytheoretica

probabiity4b4 )ubHective

probabiityc4 9eative frequency

probabiitye!perimenta probabiity4.

mphasise+:ny cassica probabiity isused to sove probems.mphasise+A B)*A)

1&


11/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ector 4 4P B P A B+

Using Aenn diagrams

!periment## sampe space#event# outcome# equayi=ey# probabiity# occur#cassica probabiity#theoretica probabiity#subHective probabiity#reative frequency

probabiity# e!perimentaprobiity

1?2?/- 2/

2. Understand and use theconcept of probabiity ofnts.mutuay e!cusive events

2.1 Determine whether twoevents are mutuaye!cusive.

2.2 Determine the probabiity oftwo or more events that are

mutuay e!cusive.

Use manipuative materiasand graphing cacuators toe!pore the concept of

probabiity of mutuaye!cusive events.

Use computer software tosimuate e!periments

invoving probabiity ofmutuay e!cusive events.

Incude events that aremutuay e!cusive ande!haustiv.

>imit to three mutuay

e!cusive evnts.

@utuay e!cusive event#e!haustive# independent

tree diagrams

16

/ ?/


concept of probabiity ofindependent events.

3.1 Determine whether two

events are independent.

3.2 Determine the probabiity oftwo independent events.

3.3 Determine the probabiity of

Use manipuative materiasand graphing cacuators toe!pore the concept of

probabiity of independentevents.

Use computer software to

Incude tree diagrams

11


12/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ectorthree independent events. simuate e!periments

invoving probabiity ofindependent events

2& 216/ 23/

O" %

22 2-2%/ 13/%

5irst erm 0olida1s

opic 6$ P)O+'L'4 D'S)'7'ONS2

1%/% 2&/%1. Understand and use theconcept of binomia

distribution.

1.1 >ist a possibe vaues of adiscriete random variabe

1.2 Determine the probabiity ofan event in a binomia

distribution.1.3 ot binomia distribution

graphs.1.- Determine means# varianceand standard deviation of a

binomia distribution.1. )ove probems invoving

binomia distributions.

Use rea"ife situations tointroduce the concept of

binomia distribution.

Use graphing cacuators andcomputer software to e!pore

binomia distribution.

Incude the characteristicsof $ernaui trias.

'or earning outcomes 1.2

and 1.-. derivation offormuae not required.

Discrete random variabe#Independent tria#$ernoui trias$inomia distribution@eanAariance)tandard deviation

12


13/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ector2% 2,

23/% -/,

2-/% 2%/%)u=an (ara J)u=an )e=oah

2. Understand and use theconcept of normadistribution.

2.1 Discribe continuous randomvariabes using set notations.2.2 'ind probabiity of C"vauesfor standard norma distribution.2.3 7onvert random variabe ofnorma distributions# K# tostandardiCed variabe# B.2.- 9epresent probabiity of anevent using set notation.2. Determine probabiity of anevent.2.% )ove probems invovingnorma distribution.

Use rea"ife situations andcomputer software such asstatisica pac=ages to e!pore theconcept of norma distributions.

Discuss characteristics of+"a. norma distribution

graphsb. standard norma

distribution graphs.B is caed standardisedvariabe.Integration of normadistribution function todetermine probabiity is notrequired.

7ontinuous randomvariabe

Lorma distribution)tandard normadistributionC"vaue

standardised variabe

opic 8$ rigonometric 5unctions2?

,/, 11/,1. Understand the concept of

positive and negative angesmeasured in degrees and

radians.

9epresent in 7artesan pane#anges greater than 3%&M or 2Nradians for+ positive anges and

negative ange

O Use dynamic computer softwaresuch as ;eometer


14/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ector2.- )ove trigonometric

equations.cot P * tan 6&"P 4

3&21/, 2/,

Understand and use graphs ofsine# cosine and tangentfunctions.

3.1.Draw and s=etch graphs oftrigonometric functions+a4 y* cF a sin bx

b4 y* cF a cos bxc4 y* cF a tan bxwherea, b andc areconstants and b > 0.

3.2.Determine the number ofsoutions to a trigonometricequation using s=etchedgraphs

3.3.)ove trigonometricequations using drawngraphs.

Use e!ampes from rea"ifesituations to introduce graphs oftrigonometric functions.

Use graphic cacuators anddynamic computer software suchas ;eometer


15/18

Week

No / Date

Learning Objectives





Points to Note

opic ,$ "ector $4# and tan $4.

.2 Derive doube"angeformuae for sin 2# cos 2and tan 2.

.3 rove trigonomotricidentities using additionformuae and/or doube"ange formuae.

.- )ove trigonometricequations.

doube"ange formuae. Discuss haf"ange formuae

!cude cos F b sin ! * c#where c &

3- 31?/? 26/?

Peperiksaan &

Week

No / Date

Learning Objectives





Points to Note /

"ocabular1

opic :$ Permutations and 9ombinations3%

2/6 /61. Understand and usetheconcept of permutatios.

1.1 Determine the tota numberof ways to perform

successive events usingmutipication rue.

1.2 Determine the number ofpermutations of ndifferent

obHects.1.3 Determine the number of

Using manipuative materias toe!pore mutipication rue.

Use rea"ife situations andcomputer software such asspreadsheet to e!pore

permutations.

@utipication rue#successive events#

permutation# factoria#arrangement# order.

'or this topic +a) Introduce the concept

by using numericae!ampes.

1


16/18

Week

No / Date

Learning Objectives





Points to Note /

"ocabular1

permutations of ndifferentobHects ta=en rat a time.

1.- Determine the number of

permutations of ndifferentobHects for given conditions.

1. Determine the number of

permutations of ndifferentobHects ta=en rat a time for

given conditions.

b) 7acuators shoud onybe used after studentshave understood the

concept.>imit to 3 events.!cude cases invoving

identica obHects.!pain the concept of

permutations by isting apossibe arrangements.

Incude notations +a4 nR *

nn14n24. . . 34.24.14

b4 &R * 1nR read as 0nfactoria

!cude cases invovingarrangement of obHects in a

circe.

3,

?/6 12/6


concept of combinations.

2.1 Determine the number of

combinations of robHectschosen from ndifferentobHects.

2.2. Determine the number ofcombinations robHectschosen from ndifferentobHects for given conditions.

!pore combinations usingrea"ife situations andcomputer software.

!pain the concept of

combinations by isting apossibe seections.

Use e!ampes to iustrate

;

n

n r

r

PC

r

3? id erm 0olida1s

1%


17/18

Week

No / Date

Learning Objectives





Points to Note /

"ocabular1

1/6 16/6

36 -&22/6 3/1&

'ntensive )evision

-1 -2%/1& 1,/1&

SP ock (OP'ON+L?1. Understand the use and

concept of dispacement

1.1 Identify direction of

dispacement of a particefrom a fi!ed point.

1.2 Determine dispacement of apartice from a fi!ed point.

1.3 Determine the tota distancetraveed by a partice over a

time interva using graphicamethod.

Use rea"ife e!ampes# graphing

cacuators and computersoftware such as ;eometer


18/18

Week

No / Date

Learning Objectives





Points to Note /

"ocabular1

veocityc) positive veocityd) negative veocity.

3. Understand and use theconcept of acceeration

3.1 Determine acceerationfunction of a partice bydifferentiation.

3.2 Determine instantaneousacceeration of a partice.

3.3 Determine instantaneousveocity of a partice from

acceeration function byintegration.

3.- Determine dispacement of apartice from acceeration

function by integration.3. )ove probems invoving

motion aong a straight ine.

Use rea"ife e!ampes andcomputer software such as;eometer

add math f5 yearly plan 2014 smk sg tapang.doc

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