Download - PB MECHANICAL MATHEMATICS SYLLABUS
PB
ZIMBABWE
MINISTRY OF PRIMARY AND SECONDARY EDUCATION
MECHANICAL MATHEMATICS SYLLABUS
FORMS 5 - 6
2015 - 2022
Curriculum Development and Technical ServicesP. O. Box MP 133Mount Pleasant
Harare
© All Rrights Reserved2015
i
Mechanical Mathematics Syllabus Forms 5 - 6
AcknowledgementsThe Ministry of Primary and Secondary Education wishes to acknowledge the following for their valued contribution in the production of this syllabus:
• Nationalpanelistsforform5-6MechanicalMathematics• Representativesofthefollowingorganisations:
ZimbabweSchoolExaminationsCouncil(ZIMSEC) UnitedNationsInternationalChildren’sEmergencyFund(UNICEF) UnitedNationsEducationalScientificandCulturalOrganisation(UNESCO) MinistryofHigherandTertiaryEducation,ScienceandTechnologyDevelopment
ii
Mechanical Mathematics Syllabus Forms 5 - 6
ContentsAcknowledgements ..................................................................................................................................i
Contents ....................................................................................................................................................ii
1.0 Preamble .............................................................................................................................................1
2.0 Presentation of Syllabus....................................................................................................................1
3.0 Aims .....................................................................................................................................................1
4.0 Objectives ...........................................................................................................................................2
5.0 Methodology and Time Allocation ....................................................................................................2
6.0 Topics ..................................................................................................................................................2
7.0 SCOPE AND SEQUENCE ...................................................................................................................3
8.0 COMPETENCY MATRIX ......................................................................................................................6
8.1 FORM (5) FIVE .....................................................................................................................................6
8.2 FORM (6) SIX .......................................................................................................................................12
9.0 Assessment .......................................................................................................................................18
1
Mechanical Mathematics Syllabus Forms 5 - 6
1.0 Preamble
1.1 Introduction
IndevelopingtheMechanicalMathematicssyllabus,attentionwaspaidtotheneedtofurtherthelearners’understanding of concepts for future studies and career development. This syllabus seeks to provide a sound treatment of Mechanical Mathematics as a learning area whose laws and principles are used as models in indige-nous knowledge systems and technology. In this learning area,aholisticapproachishighlyrecommendedwhere-bylearnersareexpectedtoshowexpertise,intelligenceandinnovativenessinthespiritofUnhu/Ubuntu/Vumun-hu in their conduct.
The intention is to provide wider opportunities for learn-erswhowishtoacquirecompetencesinscientificallyand technologically based areas required for the nation-al human capital development needs and enterprising activities in the 21st century. In learning Mechanical Mathematics,learnersshouldbehelpedtoacquireavarietyofskills,knowledgeandprocesses,anddeveloppositive attitude towards the learning area. These will enhance the ability to investigate and interpret numerical andspatialrelationshipsaswellaspatternsthatexistinMathematics and in the world in general. The syllabus alsocatersforlearnerswithdiverseneedstoexperienceMechanical Mathematics as relevant and worthwhile. It also desires to produce a learner with the ability to com-municate mathematical ideas and information effectively.
1.2 Rationale
Inlinewithsocio-economictransformation,Zimbabwehas embarked on industrialisation reforms and hence the need to cultivate self-reliance under which high Me-chanical Mathematics skills are required. The thrust is to provide wider opportunities for the learners who desire to undertake technologically and industrially related sci-entificresearchareasandcareerssuchasarchitectureandengineering.Moreso,thelearningareaisanchoredon developing wholesome learners who have the abil-ity to add value and improve indigenous inventions. In thisregard,MechanicalMathematicsprovidesasoundgrounding for development and improvement of the learner’sintellectualcompetenciesinlogicalreasoning,spatialvisualisation,analyticalandinnovativethinking.This learning area enables learners to develop skills suchasaccuracy,researchandanalyticalcompetenciesessential for life and sustainable development.
1.3 Summary of Content
The Form 5 - 6 Mechanical Mathematics syllabus will cover the theoretical concepts and their application. This twoyearlearningareaconsistsofdynamics,staticme-chanics and natural laws of motion.
1.4 Assumptions
It is assumed that the learner • haspassedatleastoneofthefollowingatform4:
Mathematics PureMathematics AdditionalMathematics
• hasabilityandinterestinMathematics
1.5 Cross Cutting Themes
The following are some of the cross cutting themes in Mechanical Mathematics:-
• Problemsolving• Disasterandriskmanagement• ICT• Communicationandteambuilding• Environmentalissues• Businessandfinancialliteracy• Gender• Inclusivity• Enterpriseskills
2.0 Presentation of SyllabusThe Mechanical Mathematics syllabus is a single doc-umentcoveringforms5–6.Itcontainsthepreamble,aims,objectives,syllabustopics,scopeandsequence,competencymatrixandassessmentprocedures.Thesyllabus also suggests a list of resources to be used during the teaching and learning process.
3.0 Aims
The syllabus will enable learners to:
3.1 acquire Mechanical Mathematics skills which help them to apply Mathematics in industry and technology
3.2 understand the nature of Mechanical Mathe-
Mec
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Mechanical Mathematics Syllabus Forms 5 - 6
maticsanditsrelationshiptoScience,Technol-ogy,EngineeringandMathematics(STEM)
3.3 engage,persevere,collaborateandshowintellectual honesty in performing tasks in MechanicalMathematics,inthespiritofUnhu/Ubuntu/Vumunhu
3.4 applyMechanicalMathematicsconceptsandtechniques in other learning areas
3.5 acquireenterprisingskillsthroughmodelling,researchandprojectbasedlearning
3.6 developcriticalthinking,innovativeness,cre-ativity and problem solving skills for sustain-able development
3.7 develop their ability to formulate problems mathematically,interpretamathematicalsolutioninthecontextoftheoriginalproblem,and understand the limitations of mathematical models
4.0 Objectives
The learners should be able to:
4.1applyrelevantMechanicalMathematicssym-bols,definitions,termsandusethemappropri-ately in problem solving
4.2useappropriateskillsandtechniquesthatare necessary in other learning areas and for further studies
4.3constructanduseappropriateMechanical Mathematics models in solving problems in life4.4communicateMechanicalMathematicsideas
and information4.5applyMechanicalMathematicstechniquesto
solve problems in an ethical manner4.6useestimationprocedurestoacceptablede-
gree of accuracy4.7presentdatathroughappropriaterepresenta-
tions4.8drawinferencesthroughcorrectmanipulation
of data4.9useI.C.TtoolstosolveMechanicalMathemat-
ics problems
5.0 Methodology and Time Allo-cation
5.1 Methodology
It is recommended that teachers use teaching techniques in which Mechanical Mathematics is seen as a learning
areawhicharouseaninterestandconfidenceintacklingproblemsbothinfamiliarandunfamiliarcontexts.Theteaching and learning of Mechanical Mathematics must be learner centred and practically oriented. Multi-sen-sory approaches should also be applied during teaching and learning of Mechanical Mathematics. The following are some of the suggested methods:
• Problemsolving• Modelling• Groupwork• Guideddiscovery• Demonstrationandillustration• Experimentation• Interactivee-learning• Self-activity/Independentlearning• Exposition• Visualtactile• Research• Expertguestpresentation
5.2 Time Allocation
Tenperiodsof40minuteseachperweekshouldbeallocated.
Learnersareexpectedtoparticipateinthefollowingactivities:-
- MechanicalMathematicsOlympiads- MechanicalMathematicsandScienceexhibitions- Mechanical Mathematics seminars- Mechanical Mathematical tours - Schoolontheshopfloor(exposuretoindustrial
processes)
6.0 TopicsThe following topics will be covered from Form 5 to 6
6.1. Vectors6.2. Forces and equilibrium 6.3. Kinematics of motion in a straight line 6.4. Newton’sLawsofmotion6.5. Motionofaprojectile6.6. Momentum and impulse6.7. Centreofmass6.8. Elasticity6.9. Energy,WorkandPower6.10. CircularMotion6.11. Linear motion under a variable force6.12. Simple harmonic motion
Mec
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Form
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3
7.0
SC
OPE
AN
D S
EQU
ENC
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7
TO
PIC
FO
RM 5
FO
RM 6
Vect
ors
Ve
ctorre
presentation
Pr
oper
ties
of v
ecto
rs
Ba
sic
oper
atio
ns
M
agni
tude
of v
ecto
rs
Tr
iang
le la
w fo
r vec
tors
Cartesianunitvectors
Res
olut
ion
Res
ulta
nt v
ecto
r
Vectorequationoftheline
Ve
ctorequationofthepathofamovingparticle
Po
sitio
n ve
ctor
of t
he p
oint
of i
nter
sect
ion
of
two
lines
Mom
ent o
f a fo
rce
R
esul
tant
mom
ent
Forc
es a
nd E
quili
briu
m
Definition
of f
orce
Type
s of
forc
es
R
epre
sent
atio
n of
forc
e by
vec
tors
Res
ulta
nts
and
com
pone
nts
Com
positionandResolutions
Equi
libriu
m o
f a p
artic
le
Eq
uilib
rium
of a
rigi
d bo
dy u
nder
cop
lana
r fo
rces
Fric
tion
Kin
emat
ics
of m
otio
n in
a s
trai
ght l
ine
M
otio
n in
a s
traig
ht li
ne
Ve
locity
Acce
lera
tion
Displacem
ent-
tim
e an
d ve
loci
ty ti
me
grap
hs
Eq
uatio
n of
mot
ion
for c
onst
ant l
inea
r ac
cele
ratio
n
Verticalm
otionundergravity
Mec
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mat
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Sylla
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Form
s 5
- 6
Mec
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Form
s 5
- 6
4
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8
M
otio
n an
d co
nsta
nt v
eloc
ity
New
ton’
s La
ws
of m
otio
n
New
ton’
s la
ws
of m
otio
n
Mot
ion
caus
ed b
y a
set o
f for
ces
Conceptofm
assandweight
Motionofconnectedobjects
Mot
ion
of a
pro
ject
ile
Projectile
- Motionofaprojectile
-
Velocityanddisplacem
ents
Ran
ge o
n ho
rizon
tal p
lane
Greatestheight
Maximum
range
Cartesianequationofatrajectoryofaprojectile
Mom
entu
m a
nd Im
puls
e
M
omen
tum
Impu
lse
Rel
atio
n be
twee
n m
omen
tum
and
impu
lse
Im
puls
e fo
rces
Collision
Conservationoflinearmom
entum
Cen
tre
of m
ass
Centreo
f gra
vity
Centreofm
ass
Centreofm
assofauniform
lamina
Centreofm
assofacom
poundlamina
Su
spen
ded
bodi
es
Sl
idin
g an
d to
pplin
g bo
dies
Elas
ticity
Prop
ertie
s of
ela
stic
stri
ngs
and
sprin
gs
W
ork
done
in s
tretc
hing
a s
tring
Elas
tic p
oten
tial e
nerg
y
Mec
hani
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nerg
y
Con
serv
atio
n of
mec
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nerg
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Mec
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Form
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- 6
4 5
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9
En
ergy
, Wor
k an
d Po
wer
Ener
gy
- Gravitationalpotential
-
Elas
tic p
oten
tial
- Ki
netic
Wor
k
Po
wer
Prin
cipl
e of
ene
rgy
cons
erva
tion
Circ
ular
mot
ion
(Ver
tical
and
Hor
izon
tal)
Angu
lar s
peed
and
vel
ocity
Horizontalandverticalcircularmotion
A
ccel
erat
ion
of a
par
ticle
mov
ing
on a
circ
le
M
otio
n in
a c
ircle
with
con
stan
t sp
eed
R
elat
ion
betw
een
angu
lar a
nd li
near
spe
ed
Conicalpendulum
Bank
ed tr
acks
Line
ar m
otio
n un
der a
var
iabl
e fo
rce
Mot
ion
in a
stra
ight
line
with
acc
eler
atio
n th
at v
arie
s w
ith ti
me
Velocityasafunctionofdisplacem
ent
Va
riablemotioninthex-
y pl
ane
Fi
rst o
rder
diff
eren
tial e
quat
ions
with
sep
arab
le
varia
bles
New
ton’
s se
cond
law
of m
otio
n (v
aria
ble
forc
e)
Sim
ple
harm
onic
mot
ion
Basi
c eq
uatio
n of
sim
ple
harm
onic
mot
ion
Pr
oper
ties
of s
impl
e ha
rmon
ic m
otio
n
Sim
ple
pend
ulum
Mec
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6
8.0
CO
MPE
TEN
CY
MAT
RIX
8.1
FOR
M (5
) FIV
E
TOPI
C 1
: VEC
TOR
S
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1
0
8.0 COMPE
TENCY
MAT
RIX
8.1 FO
RM(5
)FIVE
TOPI
C 1
: VEC
TOR
S
SUB
TO
PIC
LE
ARN
ING
OB
JEC
TIVE
S
Lear
ners
sho
uld
be a
ble
to:
CO
NTE
NT
(Atti
tude
s, S
kills
and
K
now
ledg
e)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Vect
ors
re
pres
ent v
ecto
rs u
sing
vec
tor
nota
tions
desc
ribe
vect
or p
rope
rties
carr
y ou
t vec
tor o
pera
tions
calc
ulat
e th
e m
agni
tude
of a
ve
ctor
useunitvectors,positionvectors
and
disp
lace
men
t vec
tors
to
solv
e pr
oble
ms
re
solv
e ve
ctor
s
find
the
- res
ulta
nt v
ecto
rs
-vec
tor e
quat
ion
of a
line
-v
ecto
r equ
atio
n of
the
path
of a
m
ovin
g pa
rticl
e
dete
rmin
e th
e po
int o
f int
erse
ctio
n of
two
vect
ors
so
lve
prob
lem
s in
volv
ing
mom
ent
of a
forc
e
solv
e pr
oble
ms
invo
lvin
g ve
ctor
s
Ve
ctorre
presentation
Prop
ertie
s of
vec
tors
Basi
c op
erat
ions
Mag
nitu
de o
f vec
tors
Tria
ngle
law
of v
ecto
rs
Cartesianunitvectors
Res
olut
ion
R
esul
tant
vec
tors
Vectorequationoftheline
Ve
ctorequationofthepath
of
a m
ovin
g pa
rticl
e
Mom
ent o
f a fo
rce
R
esul
tant
mom
ent
Posi
tion
vect
or o
f the
poi
nt o
f in
ters
ectio
n of
two
lines
R
epre
sent
ing
vect
ors
usin
g ve
ctor
not
atio
ns
Discussing
vect
or
prop
ertie
s
Car
ryin
g ou
t vec
tor
oper
atio
ns
Com
puting
the
mag
nitu
de
of a
vec
tor
Appl
ying
unitvectors,
posi
tion
vect
ors
and
disp
lace
men
t vec
tors
in
solv
ing
prob
lem
s
R
esol
ving
vec
tors
Calculating
the
resu
ltant
ve
ctor
s,v
ecto
r equ
atio
n of
a
line
and
vect
or e
quat
ion
of th
e pa
th o
f a m
ovin
g pa
rticl
e
Calculatingtheresultant
mom
ent o
f a fo
rce
Find
ing
the
poin
t of
inte
rsec
tion
of tw
o ve
ctor
s
Mod
ellin
g li
fe s
ituat
ion
invo
lvin
g ve
ctor
s to
sol
ve
prob
lem
s
ICTtools
Relevanttext
Geo
-boa
rd
En
viro
nmen
t
Brai
lle m
ater
ial
and
equi
pmen
t
Talk
ing
book
s
Mec
hani
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athe
mat
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Form
s 5
- 6
Mec
hani
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mat
ics
Sylla
bus
Form
s 5
- 6
7
TOPI
C 2
: FO
RC
ES A
ND
EQ
UIL
IBR
IUM
Mec
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athe
mat
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5 –
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016
1
2 TO
PIC
2: F
OR
CES
AN
D E
QU
ILIB
RIU
M
SUB
TO
PIC
LE
ARN
ING
OB
JEC
TIVE
S Le
arne
rs s
houl
d be
abl
e to
: C
ON
TEN
T( A
ttitu
des,
sk
ills
and
Kno
wle
dge)
SU
GG
ESTE
D
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
For
ces
and
Equi
libriu
m
de
fine
forc
e
iden
tify
the
forc
es a
ctin
g in
a
give
n si
tuat
ion
re
pres
ent f
orce
s by
vec
tors
fin
d re
sulta
nts
and
com
pone
nts
of v
ecto
rs
us
e re
sulta
nts
and
com
pone
nts
of v
ecto
rs to
form
ulat
e eq
uatio
ns
re
pres
ent a
con
tact
forc
e be
twee
n tw
o su
rface
s by
two
components,thenorm
al a
nd
frict
iona
l for
ces
ca
lcul
ate
frict
ion
so
lve
prob
lem
s in
volv
ing
the
equi
libriu
m o
f a s
ingl
e rig
id b
ody
unde
r the
act
ion
of c
opla
nar
forc
es
Definition
of f
orce
Type
s of
forc
es
Rep
rese
ntat
ion
of
forc
e by
vec
tors
Res
ulta
nts
and
com
pone
nts
Com
positionand
Res
olut
ions
Equi
libriu
m o
f a
parti
cle
Equi
libriu
m o
f a ri
gid
body
und
er c
opla
nar
forc
es
Fr
ictio
n
Definingforce
Sk
etch
ing
and
labe
lling
of
forc
es o
n a
plan
e
Iden
tifyi
ng f
orce
s ac
ting
on a
bo
dy in
equ
ilibriu
m
Calculatingfriction
Calculatingresultantforces
Rep
rese
ntin
g lif
e ph
enom
ena
usin
g m
athe
mat
ical
m
odel
s in
volv
ing
forc
es i
n eq
uilib
rium
andexploringtheira
pplications
in li
fe
ICTtools
Geo
-boa
rd
En
viro
nmen
t
Relevanttexts
Brai
lle m
ater
ial a
nd
equi
pmen
t
Talk
ing
book
s
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
7 8
TOPI
C 3
: KIN
EMAT
ICS
OF
MO
TIO
N IN
A S
TRA
IGH
T LI
NE
Mec
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cal M
athe
mat
ics S
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bus F
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5 –
6 2
016
1
3 T
OPI
C 3
: KIN
EMAT
ICS
OF
MO
TIO
N IN
A S
TRAI
GH
T LI
NE
SUB
TO
PIC
LE
ARN
ING
OB
JEC
TIVE
S Le
arne
rs s
houl
d be
abl
e to
: C
ON
TEN
T( A
ttitu
des,
ski
lls
and
Kno
wle
dge)
SU
GG
ESTE
D N
OTE
S AN
D
ACTI
VITI
ES
SUG
GES
TED
R
ESO
UR
CES
Ki
nem
atic
s of
mot
ion
in
a st
raig
ht li
ne
de
fine
dist
ance(x)
disp
lace
men
t(s),speed,
velo
city(v) a
nd a
ccel
erat
ion(a)
use
diffe
rent
iatio
n an
d in
tegr
atio
n w
ith re
spec
t to
time
to s
olve
pr
oble
ms
conc
erni
ng
displacement,velocityand
acce
lera
tion
sk
etch
the
grap
hs o
f:
- (x
-t)
- (s
-t)
- (v
-t)
- (a
-t)
in
terp
ret t
he (x
-t),(s-t),
(v-t)and
(a-t)
gra
phs
de
rive
the
equa
tions
of m
otio
n of
a
parti
cle
with
con
stan
t ac
cele
ratio
n in
a s
traig
ht li
ne
us
e th
e eq
uatio
ns o
f mot
ion
of a
pa
rticl
e w
ith c
onst
ant a
ccel
erat
ion
in a
stra
ight
line
to s
olve
ki
nem
atic
s pr
oble
ms
M
otio
n in
a s
traig
ht li
ne
Ve
locity
Acce
lera
tion
Displacem
ent-
tim
e an
d ve
loci
ty ti
me
grap
hs
Eq
uatio
n of
mot
ion
for
cons
tant
line
ar
acce
lera
tion
Ve
rticalm
otionunder
grav
ity
M
otio
n an
d co
nsta
nt
velo
city
Discussing distance(x)
displacement(s),speed,
velocity(v)a
nd
acceleration(a)
Sk
etch
ing
the
grap
hs o
f:
- (x
-t)
- (s
-t)
- (v
-t)
- (a
-t)
In
terp
retin
g the(x
-t),(s-t),
(v-t)and(a
-t)graphs
Deriving
the
equa
tions
of
mot
ion
of a
par
ticle
with
co
nsta
nt a
ccel
erat
ion
in a
st
raig
ht li
ne
So
lvin
g ki
nem
atic
s pr
oble
ms
Rep
rese
ntin
g lif
e ph
enom
ena
usin
g m
athe
mat
ical
mod
els
invo
lvin
g ki
nem
atic
s of
m
otio
n in
a s
traig
ht li
ne a
nd
exploringtheira
pplications
in li
fe
ICTtools
Geo
-boa
rd
En
viro
nmen
t
Relevanttexts
Brai
lle m
ater
ial a
nd
equi
pmen
t
Talk
ing
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s
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
9
TOPI
C 4
: NEW
TON
’S L
AWS
OF
MO
TIO
N
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
1
4 T
OPI
C 4
: NEW
TON
’S L
AWS
OF
MO
TIO
N
SUB
TOPI
C
LEAR
NIN
G O
BJE
CTI
VES
Lear
ners
sho
uld
be a
ble
to:
CO
NTE
NT(
Atti
tude
s, s
kills
an
d K
now
ledg
e)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
New
ton’
s L
aws
of
mot
ion
st
ate
New
ton’
s la
ws
of m
otio
n
appl
y N
ewto
n’s
law
s of
mot
ion
to
solv
e pr
oble
ms
invo
lvin
g li
near
m
otio
n of
a b
ody
of c
onst
ant m
ass
mov
ing
unde
r the
act
ion
of
cons
tant
forc
es
so
lve
prob
lem
s us
ing
the
rela
tions
hip
betw
een
mas
s an
d w
eigh
t
solv
e pr
oble
ms
invo
lvin
g th
e motionoftw
oparticles,connected
byalightinextensiblestringwhich
maypassoverafixed,smooth,
light
pul
ley
or p
eg
mod
el th
e m
otio
n of
the
body
m
ovin
g ve
rtica
lly o
r on
an in
clin
ed
plan
e as
mot
ion
with
con
stan
t ac
cele
ratio
n
N
ewto
n’s
law
s of
mot
ion
M
otio
n ca
used
by
a se
t of
forc
es
Conceptofm
assand
wei
ght
M
otio
n of
con
nect
ed
objects
Discussingthe
New
ton’
s la
ws
of m
otio
n
Appl
ying
New
ton’
s la
ws
of
mot
ion
to s
olve
pro
blem
s in
volv
ing
line
ar m
otio
n of
a
body
of c
onst
ant m
ass
mov
ing
unde
r the
act
ion
of
cons
tant
forc
es
So
lvin
g pr
oble
ms
usin
g th
e re
latio
nshi
p be
twee
n m
ass
and
wei
ght
So
lvin
g pr
oble
ms
invo
lvin
g themotionoftw
oparticles,
conn
ecte
d by
a li
ght
inextensiblestringwhich
maypassoverafixed,
smooth,lightpulleyorpeg
Mod
ellin
g th
e m
otio
n of
a
body
mov
ing
verti
cally
or o
n an
incl
ined
pla
ne a
s m
otio
n w
ith c
onst
ant a
ccel
erat
ion
ICTtools,
Relevanttexts
Brai
lle m
ater
ial a
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pmen
t
Talk
ing
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ks
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viro
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t
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hani
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athe
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ics
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Form
s 5
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9
10
TOPI
C 5
: MO
TIO
N O
F A
PRO
JEC
TILE
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
1
5 TO
PIC
5: M
OTI
ON
OF
A PR
OJE
CTI
LE
SUB
TOPI
C
LEAR
NIN
G O
BJE
CTI
VES
Lear
ners
sho
uld
be a
ble
to:
CO
NTE
NT(
Atti
tude
s, s
kills
an
d K
now
ledg
e)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Mot
ion
of a
pro
ject
ile
m
odel
the motionofaprojectileas
a pa
rticl
e m
ovin
g w
ith c
onst
ant
acce
lera
tion
so
lve
prob
lem
s on
the
mot
ion
of
projectilesusing
hor
izon
tal a
nd
verti
cal e
quat
ions
of m
otio
n
fin
d th
e m
agni
tude
and
the
di
rect
ion
of th
e ve
loci
ty o
f a
parti
cle
at a
giv
en ti
me
fin
d th
e ra
nge
on th
e ho
rizon
tal
plan
e an
d he
ight
reac
hed
de
rive
form
ulae
for g
reat
est h
eigh
t andmaximum
range
derivetheCartesianequationofa
trajectoryofaprojectile
solv
e pr
oble
ms
usin
g th
e Cartesianequationofatrajectory
ofaprojectile
Projectil
e - Motionofaprojectile
- Ve
locityand
disp
lace
men
ts
R
ange
on
horiz
onta
l pl
ane
G
reat
est h
eigh
t
Maximum
range
C
arte
sian
equ
atio
n of
a
trajectoryofaprojectile
M
odel
ling
the
mot
ion
of a
projectileasaparticle
mov
ing
with
con
stan
t ac
cele
ratio
n
Appl
ying
hor
izon
tal a
nd
verti
cal e
quat
ions
of m
otio
n in
sol
ving
pro
blem
s on
the
motionofprojectiles
Calculating
the
mag
nitu
de
and
the
dire
ctio
n of
the
ve
loci
ty o
f a p
artic
le a
t a
give
n tim
e
Fi
ndin
g th
e ra
nge
on th
e ho
rizon
tal p
lane
and
hei
ght
reac
hed
Derivin
g fo
rmul
ae fo
r gr
eate
st h
eigh
t and
maximum
range
DerivingtheCartesian
equationofatrajectoryofa
projectile
So
lvin
g pr
oble
ms
usin
g Cartesianequationofa
tra
jectoryofaprojectile
ICTtools,
Relevanttexts
Envi
ronm
ent
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raille
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eria
l
and
equi
pmen
t
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ing
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s
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athe
mat
ics
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bus
Form
s 5
- 6
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
11
TOPI
C 6
: M
OM
ENTU
M A
ND
IMPU
LSE
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
1
6 TO
PIC
6:
MO
MEN
TUM
AN
D IM
PULS
E
SU
B T
OPI
C
LEAR
NIN
G O
BJE
CTI
VES
Le
arne
rs s
houl
d be
abl
e to
: C
ON
TEN
T (A
ttitu
des,
Ski
lls a
nd
Kno
wle
dge)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Mom
entu
m a
nd
Impu
lse
de
fine
linea
r mom
entu
m
calc
ulat
e m
omen
tum
defin
e im
puls
e
calc
ulat
e im
puls
e
de
scrib
e co
nser
vatio
n of
line
ar
mom
entu
m
so
lve
prob
lem
s in
volv
ing
cons
erva
tion
of li
near
m
omen
tum
M
omen
tum
Im
puls
e
R
elat
ion
betw
een
mom
entu
m a
nd im
puls
e
Impu
lse
forc
es
Collision
C
onse
rvat
ion
of li
near
m
omen
tum
Discussinglinear
mom
entu
m
Calculatingmom
entum
Discussingimpulse
Calculatingimpulse
D
escr
ibin
g co
nser
vatio
n of
lin
ear m
omen
tum
Solv
ing
pro
blem
s in
volv
ing
cons
erva
tion
of li
near
m
omen
tum
Discussingtherelationship
betw
een
mom
entu
m a
nd
impu
lse
R
epre
sent
ing
life
phen
omen
a us
ing
mat
hem
atic
al m
odel
s in
volv
ing
mom
entu
m a
nd
impulseandexploringtheir
appl
icat
ions
in li
fe
ICTtools
Relevanttexts
Envi
ronm
ent
Br
aille
mat
eria
l
and
equi
pmen
t
Talk
ing
book
s
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
11 12
8.2
FO
RM
(6)
TOPI
C 7
: C
ENTR
E O
F M
ASS
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
1
7 8.
2 F
OR
M (6
) SIX
TOPI
C 7
: C
ENTR
E O
F M
ASS
SU
B T
OPI
C
LEAR
NIN
G O
BJE
CTI
VES
Le
arne
rs s
houl
d be
abl
e to
: C
ON
TEN
T (A
ttitu
des,
Ski
lls a
nd
Kno
wle
dge)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Cen
tre
of m
ass
de
fine
cent
re o
f gra
vity
defin
e ce
ntre
of m
ass
de
term
ine
the
posi
tion
of th
e ce
ntre
of
mas
s of
the
follo
win
g un
iform
la
min
as:
- st
raig
ht ro
d -
circ
ular
hoo
p -
rect
angu
lar d
isc
- ci
rcul
ar d
isc
- so
lid o
r hol
low
cyl
inde
r -
solid
or h
ollo
w s
pher
e -
trian
gula
r
dete
rmin
e th
e po
sitio
n of
cen
tre o
f m
ass
of a
com
poun
d la
min
a
so
lve
prob
lem
s in
volv
ing
unifo
rm
lam
inas
solv
e pr
oble
ms
invo
lvin
g co
mpo
und
lam
inas
so
lve
prob
lem
s in
volv
ing
a bo
dy
susp
ende
d fro
m a
poi
nt a
nd th
e to
pplin
g or
slid
ing
of a
bod
y on
an
incl
ined
pla
ne
Centreofgravity
Centreofm
ass
Centreofm
assofa
unifo
rm la
min
a
Centreofm
ass
of
com
poun
d la
min
a
Susp
ende
d bo
dies
Slid
ing
and
topp
ling
bodi
es
Discussing
cent
re o
f gra
vity
Discussing
cent
re o
f mas
s
Determining
the
posi
tion
of
the
cent
re o
f mas
s of
the
follo
win
g un
iform
lam
inas
: -
stra
ight
rod
- ci
rcul
ar h
oop
- re
ctan
gula
r dis
c -
circ
ular
dis
c -
solid
or h
ollo
w c
ylin
der
- so
lid o
r hol
low
sph
ere
- tri
angu
lar
de
term
inin
g th
e po
sitio
n of
ce
ntre
of m
ass
of a
co
mpo
und
lam
ina
Solv
ing
prob
lem
s in
volv
ing
unifo
rm a
nd c
ompo
und
lam
inas
Solv
ing
prob
lem
s in
volv
ing
a bo
dy s
uspe
nded
from
a p
oint
an
d th
e to
pplin
g or
slid
ing
of
a bo
dy o
n an
incl
ined
pla
ne
R
epre
sent
ing
life
phen
omen
a us
ing
mat
hem
atic
al m
odel
s in
volv
ing
cent
re o
f mas
s an
d
ICTtools
Relevanttexts
Envi
ronm
ent
Br
aille
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eria
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and
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pmen
t
Talk
ing
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s
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athe
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ics
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Form
s 5
- 6
13
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
1
8 S
UB
TO
PIC
LE
ARN
ING
OB
JEC
TIVE
S
Lear
ners
sho
uld
be a
ble
to:
CO
NTE
NT
(Atti
tude
s, S
kills
and
K
now
ledg
e)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
exploringtheira
pplicationsin
life
TOPI
C 8
: EL
AST
ICIT
Y
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
1
9 TO
PIC
8:
ELAS
TIC
ITY
SU
B T
OPI
C
LEAR
NIN
G O
BJE
CTI
VES
Le
arne
rs s
houl
d be
abl
e to
: C
ON
TEN
T (A
ttitu
des,
Ski
lls a
nd
Kno
wle
dge)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Elas
ticity
de
fine
elas
ticity
in s
tring
s an
d sp
rings
expl
ain
Hoo
ke’s
law
calc
ulat
e m
odul
us o
f ela
stic
ity
solv
e pr
oble
ms
invo
lvin
g fo
rces
due
to
ela
stic
stri
ngs
or s
prin
gs in
clud
ing
thos
e w
here
con
side
ratio
n of
wor
k an
d en
ergy
are
nee
ded
Pr
oper
ties
of e
last
ic s
tring
s an
d sp
rings
W
ork
done
in s
tretc
hing
a
strin
g
El
astic
pot
entia
l ene
rgy
Mec
hani
cal e
nerg
y
Conservation
of
mec
hani
cal e
nerg
y
Discussing
elas
ticity
in
strin
gs a
nd s
prin
gs
Ex
plaini
ng H
ooke
’s la
w
Calculating
mod
ulus
of
elas
ticity
So
lvin
g pr
oble
ms
invo
lvin
g fo
rces
due
to e
last
ic s
tring
s or
spr
ings
incl
udin
g th
ose
whe
re c
onsi
dera
tion
of w
ork
and
ener
gy a
re n
eede
d
Rep
rese
ntin
g lif
e ph
enom
ena
usin
g m
athe
mat
ical
mod
els
invo
lvin
g el
astic
ity a
nd
exploringtheira
pplicationsin
life
ICTtools
Relevanttexts
Envi
ronm
ent
Br
aille
mat
eria
l
and
equi
pmen
t
Talk
ing
book
s
Mec
hani
cal M
athe
mat
ics
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bus
Form
s 5
- 6
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
14
TOPI
C 9
: EN
ERG
Y, W
OR
K A
ND
PO
WER
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
2
0 TO
PIC
9: E
NER
GY,
WO
RK
AN
D P
OW
ER
SUB
TOPI
C
LEAR
NIN
G O
BJE
CTI
VES
Lear
ners
sho
uld
be a
ble
to:
CO
NTE
NT
( Atti
tude
s, s
kills
an
d K
now
ledg
e)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Ener
gy, W
ork
and
Pow
er
explaintheconceptsof
gravitational,elasticandk
inet
ic
pote
ntia
l ene
rgy
so
lve
prob
lem
s us
ing
the
prin
cipl
e of
ene
rgy
cons
erva
tion
de
scrib
e th
e co
ncep
t of w
ork
done
by
a fo
rce
ca
lcul
ate
wor
k do
ne b
y a
cons
tant
fo
rce
whe
n its
poi
nt o
f app
licat
ion
unde
rgoe
s a
disp
lace
men
t
defin
e po
wer
calc
ulat
e po
wer
so
lveproblemsinvolvingenergy,
wor
k an
d po
wer
En
ergy
-
Gravitationalpotential
-
Elas
tic p
oten
tial
- Ki
netic
-
Wor
k
Pow
er
Pr
inci
ple
of e
nerg
y co
nser
vatio
n
Discussingconceptsof
gravitational,elasticand
kine
tic p
oten
tial e
nerg
y
Conductingexperim
entsto
dem
onst
rate
con
serv
atio
n of
en
ergy
suc
h as
fallin
g objects
C
alcu
latin
g po
wer
Solv
ing
prob
lem
s in
volv
ing
energy,w
orkandpower
Rep
rese
ntin
g lif
e ph
enom
ena
usin
g m
athe
mat
ical
mod
els
involvingenergy,w
orkand
powerandexploringtheir
appl
icat
ions
in li
fe
ICTtools
Relevanttexts
Envi
ronm
ent
Br
aille
mat
eria
l
and
equi
pmen
t
Talk
ing
book
s
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
14 15
TOPI
C 1
0: C
IRC
ULA
R M
OTI
ON
(Ver
tical
and
Hor
izon
tal)
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
2
1 TO
PIC
10:
CIR
CU
LAR
MO
TIO
N (V
ertic
al a
nd H
oriz
onta
l)
SU
B T
OPI
C
LEAR
NIN
G O
BJE
CTI
VES
Le
arne
rs s
houl
d be
abl
e to
: C
ON
TEN
T (A
ttitu
des,
Ski
lls a
nd
Kno
wle
dge)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Circ
ular
mot
ion
(Ver
tical
and
H
oriz
onta
l)
explaintheconceptofangular
spee
d fo
r a p
artic
le m
ovin
g in
a
circ
le w
ith c
onst
ant s
peed
dist
ingu
ish
betw
een
horiz
onta
l and
ve
rtica
l mot
ion
ca
lcul
ate
ang
ular
spe
ed fo
r a
parti
cle
mov
ing
in a
circ
le w
ith
cons
tant
spe
ed
ca
lcul
ate
acce
lera
tion
of a
par
ticle
m
ovin
g in
a c
ircle
with
con
stan
t sp
eed
so
lve
prob
lem
s w
hich
can
be
mod
elle
d as
the
mot
ion
of a
pa
rticl
e m
ovin
g in
a h
oriz
onta
l ci
rcle
with
con
stan
t spe
ed
so
lve
prob
lem
s w
hich
can
be
mod
elle
d as
the
mot
ion
of a
pa
rticl
e m
ovin
g in
a v
ertic
al c
ircle
w
ith c
onst
ant s
peed
find
the
rela
tions
hip
betw
een
angu
lar a
nd li
near
spe
ed
calc
ulat
e th
e te
nsio
n in
the
strin
g an
d an
gula
r spe
ed in
a c
onic
al
pend
ulum
so
lve
prob
lem
s in
volv
ing
bank
ed
track
s.
An
gula
r spe
ed a
nd v
eloc
ity
Horizontalandvertical
circ
ular
mot
ion
A
ccel
erat
ion
of a
par
ticle
m
ovin
g on
a c
ircle
M
otio
n in
a c
ircle
with
co
nsta
nt s
peed
R
elat
ion
betw
een
angu
lar
and
linea
r spe
ed
Con
ical
pen
dulu
m
Bank
ed tr
acks
Discussingtheco
ncep
t of
angu
lar s
peed
for a
par
ticle
m
ovin
g in
a c
ircle
with
con
stan
t sp
eed
Distinguishingbetweenthe
conc
epts
of h
oriz
onta
l and
ve
rtica
l mot
ion
in a
circ
le
Com
putingangularspeedfor
a pa
rticl
e m
ovin
g in
a c
ircle
w
ith c
onst
ant s
peed
Calculatingaccele
ratio
n of
a
parti
cle
mov
ing
in a
circ
le w
ith
cons
tant
spe
ed
So
lvin
g pr
oble
ms
whi
ch c
an b
e m
odel
led
as th
e m
otio
n of
a
parti
cle
mov
ing
in a
hor
izon
tal
and
verti
cal c
ircle
with
con
stan
t sp
eed
Discussingtherelationship
betw
een
angu
lar a
nd li
near
sp
eed
Com
putin
g th
e te
nsio
n in
the
strin
g an
d an
gula
r spe
ed in
co
nica
l pen
dulu
m
R
epre
sent
ing
life
phen
omen
a us
ing
mat
hem
atic
al m
odel
s in
volv
ing
circ
ular
mot
ion
and
exploringtheira
pplicationsin
life
ICTtools
Relevanttexts
Envi
ronm
ent
Si
mpl
e pe
ndul
um
Br
aille
mat
eria
l
and
equi
pmen
t
Talk
ing
book
s
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
16
TOPI
C 1
1: L
INEA
R M
OTI
ON
UN
DER
A V
AR
IAB
LE F
OR
CE
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
2
2 TO
PIC
11:
LIN
EAR
MO
TIO
N U
ND
ER A
VAR
IAB
LE F
OR
CE
SU
B T
OPI
C
LEAR
NIN
G O
BJE
CTI
VES
Le
arne
rs s
houl
d be
abl
e to
: C
ON
TEN
T (A
ttitu
des,
Ski
lls a
nd
Kno
wle
dge)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Line
ar m
otio
n un
der a
var
iabl
e fo
rce
us
e di
ffere
ntia
tion
to o
btai
n ve
loci
ty a
nd a
ccel
erat
ion
expressdisplacementasa
func
tion
of ti
me
expressvelocityasafunctionof
disp
lace
men
t
expressaccelerationasafunction
of v
eloc
ity
so
lve
prob
lem
s w
hich
can
be
mod
elle
d by
the
linea
r mot
ion
of a
pa
rticl
e m
ovin
g un
der t
he a
ctio
n of
va
riabl
e fo
rce
by s
ettin
g up
ap
prop
riate
diff
eren
tial e
quat
ions
M
otio
n in
a s
traig
ht li
ne w
ith
acce
lera
tion
that
var
ies
with
tim
e
Velocityasafunctionof
disp
lace
men
t
Variablemotioninthex-
y pl
ane
Fi
rst o
rder
diff
eren
tial
equa
tions
with
sep
arab
le
varia
bles
New
ton’
s se
cond
law
of
motion(variableforce)
Ap
plyi
ng d
iffer
entia
tion
to o
btai
n ve
loci
ty a
nd a
ccel
erat
ion
Ex
pressi
ng d
ispl
acem
ent a
s a
func
tion
of ti
me
Ex
pressi
ng v
eloc
ity a
s a
func
tion
of d
ispl
acem
ent
Ex
pressi
ng a
ccel
erat
ion
as a
fu
nctio
n of
vel
ocity
Solv
ing
prob
lem
s w
hich
can
be
mod
elle
d by
the
linea
r mot
ion
of
a pa
rticl
e m
ovin
g un
der t
he
actio
n of
var
iabl
e fo
rce
by s
ettin
g up
app
ropr
iate
diff
eren
tial
equa
tions
ICTtools
Relevanttexts
Envi
ronm
ent
Br
aille
mat
eria
l
and
equi
pmen
t
Talk
ing
book
s
Mec
hani
cal M
athe
mat
ics
Sylla
bus
Form
s 5
- 6
16 17
TOPI
C 1
2: S
IMPL
E H
AR
MO
NIC
MO
TIO
N
Mec
hani
cal M
athe
mat
ics S
ylla
bus F
orm
5 –
6 2
016
2
3 T
OPI
C 1
2: S
IMPL
E H
ARM
ON
IC M
OTI
ON
SU
B T
OPI
C
LEAR
NIN
G O
BJE
CTI
VES
Le
arne
rs s
houl
d be
abl
e to
: C
ON
TEN
T (A
ttitu
des,
Ski
lls a
nd
Kno
wle
dge)
SUG
GES
TED
NO
TES
AND
AC
TIVI
TIES
SU
GG
ESTE
D
RES
OU
RC
ES
Sim
ple
harm
onic
m
otio
n
de
fine
sim
ple
harm
onic
mot
ion
solv
e pr
oble
ms
usin
g st
anda
rd s
impl
e ha
rmon
ic m
otio
n fo
rmul
a
fo
rmul
ate
diffe
rent
ial e
quat
ions
of
mot
ion
in p
robl
ems
lead
ing
to s
impl
e ha
rmon
ic m
otio
n
solv
e di
ffere
ntia
l equ
atio
ns in
volv
ing
sim
ple
harm
onic
mot
ion
to o
btai
n th
e pe
riod
and
ampl
itude
of t
he m
otio
n
Ba
sic
equa
tion
of s
impl
e ha
rmon
ic m
otio
n
Prop
ertie
s of
sim
ple
harm
onic
mot
ion
Sim
ple
pend
ulum
Discussing
sim
ple
harm
onic
m
otio
n
Solv
ing
prob
lem
s us
ing
stan
dard
sim
ple
harm
onic
m
otio
n fo
rmul
a
Setti
ng u
p di
ffere
ntia
l eq
uatio
ns o
f mot
ion
in
prob
lem
s le
adin
g to
sim
ple
harm
onic
mot
ion
So
lvin
g di
ffere
ntia
l equ
atio
ns
invo
lvin
g si
mpl
e ha
rmon
ic
mot
ion
to o
btai
n th
e pe
riod
and
ampl
itude
of t
he m
otio
n
Rep
rese
ntin
g lif
e ph
enom
ena
usin
g m
athe
mat
ical
mod
els
invo
lvin
g si
mpl
e ha
rmon
ic
motionandexploringtheir
appl
icat
ions
in li
fe
ICTtools
Relevanttexts
Envi
ronm
ent
Pe
ndul
um
Br
aille
mat
eria
l
and
equi
pmen
t
Talk
ing
book
s
9.0
Asse
ssm
ent
9.1
A
ssessm
entO
bjectives
Th
e as
sess
men
t will
test
can
dida
te’s
abi
lity
to:-
re
call
and
use
Mec
hani
cal
Mathematicsfacts,conceptsand
tech
niqu
es
in
terp
ret a
nd u
se M
echa
nica
l Mat
hem
atic
s da
ta, s
ymbo
ls a
nd te
rmin
olog
y
sket
ch a
nd in
terp
ret g
raph
s ac
cura
tely
form
ulat
e ap
prop
riate
Mec
hani
cal M
athe
mat
ics
mod
els
for g
iven
life
situ
atio
ns
18
9.0 Assessment
9.1 Assessment Objectives
Theassessmentwilltestcandidate’sabilityto:-
• recallanduseMechanicalMathematicsfacts,conceptsandtechniques• interpretanduseMechanicalMathematicsdata,symbolsandterminology• sketchandinterpretgraphsaccurately• formulateappropriateMechanicalMathematicsmodelsforgivenlifesituations• evaluateMechanicalMathematicsmodelsincludinganappreciationoftheassumptionsmadeandinterpret,justify
and present the result from a mathematical analysis in a form relevant to the original problem• recognisetheappropriateMechanicalMathematicsprocedureforagivensituation• formulateproblemsintoMechanicalMathematicsterms,selectandapplyappropriatetechniquesofsolutions• conductresearchprojectrelatedtoMechanicalMathematics• constructMechanicalMathematicsargumentsthroughappropriateuseofprecisestatements,logicaldeduction
andinferenceandbythemanipulationofmathematicalexpressions
9.2 Scheme of Assessment
Forms 5 - 6 Mechanical Mathematics assessment will be based on 30% continuous assessment and 70% summative assessment.Thesyllabus’schemeofassessmentisgroundedintheprincipleofequalisationofopportunitieshence,doesnotcon-done direct or indirect discrimination of learners.Arrangements,accommodationsandmodificationsmustbevisibleinbothcontinuousandsummativeassessmentsto enable candidates with special needs to access assessments and receive accurate performance measurement of their abilities. Access arrangements must neither give these candidates an undue advantage over others nor compro-mise the standards being assessed.Candidateswhoareunabletoaccesstheassessmentsofanycomponentorpartofcomponentduetodisability(tran-sitoryorpermanent)maybeeligibletoreceiveanawardbasedontheassessmenttheywouldhavetaken.NBForfurtherdetailsonarrangements,accommodationsandmodificationsrefertotheassessmentprocedurebook-let.a) ContinuousAssessmentContinuousassessmentforForm5–6willconsistsoftopictasks,writtentests,endoftermexaminations,projectandprofilingtomeasuresoftskills
i. Topic Tasks Theseareactivitiesthatteachersuseintheirdaytodayteaching.Theseshouldincludepracticalactivities,assign-ments and group work activities.
ii. Written TestsThese are tests set by the teacher to assess the concepts covered during a given period of up to a month. The tests should consist of short structured questions as well as long structured questions.
iii. EndoftermexaminationsThesearecomprehensivetestsofthewholeterm’soryear’swork.Thesecanbesetatschool,districtorprovinciallevel.iv. ProjectThisshouldbedonefromtermtwototermfive.
Mechanical Mathematics Syllabus Forms 5 - 6
Mechanical Mathematics Syllabus Forms 5 - 6
19
SummaryofContinuousAssessmentTasks
Fromtermtwotofive,candidatesareexpectedtohavedonethefollowingrecordedtasks:
• 1Topictaskperterm• 2Writtentestsperterm• 1Endoftermtestperterm• 1Projectinfourterms
Mechanical Mathematics Syllabus Form 5 – 6 2016 25
iii. End of term examinations
These are comprehensive tests of the whole term’s or year’s work.Thesecanbesetatschool,districtorprovincial level.
iv. Project This should be done from term two to term five.
Summary of Continuous Assessment Tasks
From term two to five, candidatesareexpectedtohavedonethefollowing recorded tasks:
1 Topic task per term 2 Written tests per term 1 End of term test per term 1Project in four terms
Detailed Continuous Assessment Tasks Table
Term Number of Topic Tasks
Number of Written Tests Number of End Of Term Tests
Project Total
2 1 2 1 1
3 1 2 1
4 1 2 1
5 1 2 1
Weighting 25% 25% 25% 25% 100%
Actual Weight 7.5% 7.5% 7.5% 7.5% 30%
SpecificationGridforContinuousAssessment
Component Skills Topic Tasks
Written Tests End of Term Project
Mechanical Mathematics Syllabus Form 5 – 6 2016 26
Skill 1
Knowledge &
Comprehensive
50% 50% 50% 20%
Skill 2
Application &
Analysis
40% 40% 40% 40%
Skill 3
Synthesis &
Evaluation
10% 10% 10% 40%
Total 100% 100% 100% 100%
Actual weighting 7.5% 7.5% 7.5% 7.5%
b. Summative Assessment
Theexaminationwillconsistof2papers:paper1andpaper2,eachtobewrittenin3hours
The table below shows the information on weighting and types of papers to be offered.
Paper 1 Paper 2 Total
Weighting 35% 35% 70%
Type of Paper
Approximately15Shortanswer structured questions,where candidates answer all questions
8 structured questions where candidates answer any 5 ,andeach question carrying 20 marks
Marks 100 100 200
Specification Grid for Summative Assessment
20
Mechanical Mathematics Syllabus Forms 5 - 6
Mechanical Mathematics Syllabus Form 5 – 6 2016 26
Skill 1
Knowledge &
Comprehensive
50% 50% 50% 20%
Skill 2
Application &
Analysis
40% 40% 40% 40%
Skill 3
Synthesis &
Evaluation
10% 10% 10% 40%
Total 100% 100% 100% 100%
Actual weighting 7.5% 7.5% 7.5% 7.5%
b. Summative Assessment
Theexaminationwillconsistof2papers:paper1andpaper2,eachtobewrittenin3hours
The table below shows the information on weighting and types of papers to be offered.
Paper 1 Paper 2 Total
Weighting 35% 35% 70%
Type of Paper
Approximately15Shortanswer structured questions,where candidates answer all questions
8 structured questions where candidates answer any 5 ,andeach question carrying 20 marks
Marks 100 100 200
Specification Grid for Summative Assessment
Mechanical Mathematics Syllabus Form 5 – 6 2016 27
Paper 1 Paper 2 Total Weighting
Skill 1
Knowledge &
Comprehension
50% 30% 80% 28%
Skill 2
Application &
Analysis
40% 50% 90% 31,5%
Skill 3
Synthesis &
Evaluation
10% 20% 30% 10,5%
Total 100% 100% 200%
Weighting 35% 35% 70%
9.3 ASSESSMENT MODEL
Learners will be assessed using both continuous and summative assessments.
Assessment of learner performance in Mechanical Mathematics
100%
Continuousassessment 30%
Profiling
End of term Tests 7.5%
Written Tests
7.5%
Topic Tasks 7.5%
Summative assessment 70%
Paper 1 35%
Paper 2 35%
Project
7.5%
Mechanical Mathematics Syllabus Forms 5 - 6
ASSESSMENT OF LEARNER PERFORMANCE IN MECHANICAL MATHEMATICS 100%
CONTINUOUS ASSESSMENT 30%
CONTINUOUS ASSESSMENT 30%
SUMMATIVE ASSESSMENT 70%
SUMMATIVE ASSESSMENT 70%
Topic Tasks 7.5%
PROFILING
PROFILE
EXIT PROFILE
Written Tests 7.5%
End of term Tests 7.5%
FINAL MARK100%
Project7.5%
Paper 1 35%
Paper 2 35%
21
9.3 ASSESSMENT MODELLearners will be assessed using both continuous and summative assessments
Mechanical Mathematics Syllabus Forms 5 - 6