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Grade 8 & 9 maths schemes

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MI
NI
STRYOFGENERALEDUCATI
ON
PROVI
NCI
ALCOMMONSCHEMESOFWORK,
2018
WESTERNPROVI
NCE
Juni
orSecondar
yMat
hemat
i
cs
(
Gr
ades8and9)
GRADE8
TERM I
WEEK
TOPI
C
SETS
1
2
SUBTOPI
C
 Setbui
l
der
not
at
i
on
 I
nt
er
sect
i
onof
set
s
 Compl
ementofa
Set
 SetOper
at
i
ons
 Appl
i
cat
i
onon
set
s
WESTERNPROVI
NCE
OBJECTI
VES
 I
nt
er
pr
ett
heset
bui
l
dernot
at
i
on;
{
x:
x
>2,
x∈Ζ}
.
 Fi
ndt
hei
nt
er
sect
i
on
seti
nv
ol
v
i
ngupt
o3
set
s.
 I
nt
er
pr
ett
heset
compl
ementi
ncl
udi
ng
i
t
ssy
mbol
(
i
.
e.A’
,
B’
)
 Usesi
ngl
eset
oper
at
i
onsy
mbol
s
(
e.
g.A B CorA B
C)
.
1
SUGGESTED
TEACHI
NG
METHODS
/
LEARNI
NGAI
DS
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Col
our
ed
chal
k
 Bot
t
l
et
ops
 Char
t
s
 Pens
REFERENCES
 ZBECMat
h8
pupi
l
’
sbook[
Page
30–48]
 LongmanMat
h8
[
Page110]
 MKJuni
orSec
Mat
hpupi
l
’
sbook8
[
Page115]
 ZBECMat
h9
pupi
l
’
sbook[
Page
15–21]
COMMONSCHEME,
MATHS8&9
 Usecombi
nedset
oper
at
i
onsy
mbol
s
[
e.
g.(
A B’
) C,
(
A’
B) C,A’ (
B’ C)
]
 Appl
ysi
mpl
e
oper
at
i
onsonset
s.
 MKJuni
orSec
Mat
hpupi
l
’
sbook9
[
Page125]
 Juni
orSecSchool
Mat
h2ndEd[
page8
14]
 ECZPastexam
paper
s
I
NTEGERS
 Thef
our
oper
at
i
ons
3
 Addandsubt
r
act
i
nt
eger
swi
t
houtusi
ng
t
henumberl
i
ne.
 Mul
t
i
pl
yanddi
v
i
de
i
nt
eger
s.
4
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Chal
kboar
d
r
ul
e
 Gr
aph
boar
d
 Col
our
ed
chal
k
 Char
t
s
 ZBECMat
h8
pupi
l
’
sbook
[
Page4966]
 L
ongmanMat
h8
pupi
l
sbook[
Page
1217]
 ZBECJuni
orSec
Mat
hBook9
[
Page1517]
 ECZPastexam
paper
s
5
SQUARE
ROOTS
ANDCUBE
ROOTS
 Squar
er
oot
s
 Cuber
oot
s
 Root
sofSquar
es
andCubes
6
WESTERNPROVI
NCE
 Descr
i
bet
hemeani
ng
ofsquar
er
ootandi
t
s
sy
mbol
 Descr
i
bet
hemeani
ng
ofcuber
ootandi
t
s
sy
mbol
 Fi
ndr
oot
sofSquar
es
2
 Di
scussi
o
n
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Char
t
s
 Col
our
ed
chal
k
 ST(
P)Mat
hs2
[
Page295300]
 LongmanMat
h8
pupi
l
sbook
COMMONSCHEME,
MATHS8&9
andCubes
 Gr
oupi
ng
 ZBECMat
h9
pupi
l
’
sbook[
Page
166]
 Ar
i
t
hmet
i
cRev
i
si
on
andPr
act
i
ce:
Oxf
or
dbyM.
Bowman[
Page8488]
 ECZPastExam
paper
s
7
MI
DTERM
TEST
MI
DTERM TEST
MI
DTERM TEST
I
NDEX
 I
ndi
ces
 Lawsofi
ndi
ces
 I
nt
er
pr
ett
heposi
t
i
v
e
andzer
oi
ndi
ces.
 Appl
yt
hel
awsof
i
ndi
ces
NOTATI
ON
MI
DTERM TEST
8
9
WESTERNPROVI
NCE
3
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Fl
i
p
char
t
s
 mar
ker
s
 ZBECMat
h8
pupi
l
’
sbook
[
Page142149]
 Juni
orSecSchool
Mat
h2ndEd[
pg83
85]
 LongmanMat
h8
pupi
l
sbook
 ECZPastExam
paper
s
COMMONSCHEME,
MATHS8&9
APPROXI
M
ATI
ON&
ESTI
MATI
O
N
10
 Appr
oxi
mat
i
on
andEst
i
mat
i
on
 Sci
ent
i
f
i
c
Not
at
i
on
 Appl
yt
he
conceptof
appr
oxi
mat
i
oni
n
r
eal
l
i
f
e
11
12
To
13
Rev
i
si
on
Rev
i
si
onAND
AND
EndofTer
m Test
Endof
Ter
m Test
WESTERNPROVI
NCE
 Expr
essnumber
st
o
gi
v
ensi
gni
f
i
cant
f
i
gur
e.
 Est
i
mat
emeasur
esor
quant
i
t
i
es
 Roundof
fnumber
st
o
speci
f
i
eddegr
eeof
accur
acy
.
 Expr
essnumber
si
n
sci
ent
i
f
i
cnot
at
i
onor
st
andar
df
or
m.
 Appr
oxi
mat
enumber
s
i
nsci
ent
i
f
i
cnot
at
i
on
t
ogi
v
endegr
eeof
accur
acy
 Appl
yt
heconceptof
appr
oxi
mat
i
oni
nr
eal
l
i
f
e
Teacher
/
st
udentquest
i
on
andanswer
,
cl
assexer
ci
ses
/t
est
s
EndofTheTer
m
exami
nat
i
onsWr
i
t
i
ngEt
c.
4
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Char
t
s
 Chal
k
boar
d
 ZBECMat
h8
pupi
l
’
sbook
[
Page8084]
 L
ongmanMat
h8
pupi
l
sbook[
Page
1827]
 MKJrSe
cMat
h8
[
pg105110]
 ZBECJuni
orSec
Mat
hBook9
[
Page8692]
 MKJrSe
cMat
h9
[
pg100105]
 ECZPastExam
paper
s
Test
,
Exer
ci
ses&
Not
es/
Book
Exam Quest
i
onPaper
s
COMMONSCHEME,
MATHS8&9
TERM I
I
WEEK
1
TOPI
C
RATI
O&
PROPORTI
ON
SUBTOPI
C
 Rat
i
oand
Pr
opor
t
i
onal
par
t
s
OBJECTI
VES
 Sol
v
epr
obl
emst
hat
i
nv
ol
v
er
at
i
oand
pr
opor
t
i
on
2
SUGGESTED
TEACHI
NG
METHODS
/
LEARNI
NGAI
DS
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Commodi
t
y
pr
i
cet
ags
 Cl
assr
ooms
 Char
t
s
REFERENCES
 ZBECMat
h8pupi
l
’
s
book[
Page105107]
 LongmanMat
h8
pupi
l
sbook[
Page
2833]
 ZBECJuni
orSec
Mat
hBook9[
Page
3344]
 ST(
P)Mat
hs2[
pg
185198]
WESTERNPROVI
NCE
5
COMMONSCHEME,
MATHS8&9
 Pastpaper
sf
orECZ
ALGEBRAI
C
EXPRESSI
ONS&
FORMULA
 Subst
i
t
ut
i
ons
 Si
mpl
eLi
near
equat
i
ons
 Const
r
uct
i
onof
f
or
mul
ae
pr
ogr
ammi
ng
3
4
5
 For
mul
at
eal
gebr
ai
c
expr
essi
ons
 Si
mpl
i
f
yal
gebr
ai
c
expr
essi
ons
 Appl
yt
hedi
st
r
i
but
i
v
e
l
awi
nsi
mpl
i
f
y
i
ng
al
gebr
ai
cexpr
essi
ons
 Ev
al
uat
eal
gebr
ai
c
expr
essi
ons
 Sol
v
esi
mpl
e
equat
i
onsusi
ngt
he
addi
t
i
v
eand
mul
t
i
pl
i
cat
i
v
ei
nv
er
se
 Const
r
uctf
or
mul
a
f
r
om gi
v
enst
at
ement
.
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Di
scov
er
y
 Char
t
s
 Chal
kboar
d
 Dust
er
 ZBECMat
h8pupi
l
’
s
book[
Page6778]
 LongmanMat
h8
pupi
l
sbook[
Page
3449]
 MKJrSecMat
h8
[
pg112133]
 ZBECJuni
orSec
Mat
hBook9[
Page
93106]
 I
GCSEMat
hs[
Pg96115]
 ECZPastexam
paper
s
WESTERNPROVI
NCE
6
COMMONSCHEME,
MATHS8&9
EQUATI
ON
SAND
I
NEQUATI
ONS
6
7
 Subj
ectof
f
or
mul
a.
 Equat
i
onsand
i
nequat
i
ons
 Sy
st
emsof
Li
nearequat
i
ons
 Appl
i
cat
i
onof
equat
i
onsand
I
nequat
i
ons
 Changesubj
ectoft
he
f
or
mul
a
 Sol
v
eequat
i
onsand
i
nequat
i
onsi
none
v
ar
i
abl
e
 Sol
v
eequat
i
onsand
I
nequat
i
onsi
nt
wo
v
ar
i
abl
es
 Sket
cht
hegr
aphof
I
nequat
i
onsand
shadet
hewant
ed
r
egi
on
 Sol
v
esi
mul
t
aneous
l
i
nearequat
i
onsi
n
t
wov
ar
i
abl
es
 Appl
yequat
i
onsand
i
nequat
i
onsi
nr
eal
l
i
f
e
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Di
scov
er
y
 Gr
aph
boar
d
 Col
our
ed
chal
k
 Boar
dr
ul
er
 char
t
s
 ZBECMat
h8pupi
l
’
s
book[
Page120141]
 I
GSCEMat
h[
Page
116134]
 MKJrSecMat
h8
[
pg145162]
 ZBECJuni
orSec
Mat
hBook9[
Page
127148]
 I
GCSEMat
hs[
Pg96115]
 ECZPastExam
paper
s
8
MI
DTERM
TEST
MI
DTERM TEST
MI
DTERM TEST
SOCI
AL&
 Si
mpl
eand
compound
i
nt
er
est
 Ut
i
l
i
t
ybi
l
l
s,Bank
andPostOf
f
i
ce
char
ges
 Budget
i
ng
 I
nsur
anceand
Assur
ance
 Hi
r
epur
chase
 Cal
cul
at
esi
mpl
eand
compoundi
nt
er
est
 Cal
cul
at
eut
i
l
i
t
ybi
l
l
s,
BankandPost
al
char
ges.
 Gener
at
esi
mpl
e
budget
 Cal
cul
at
eI
nsur
ance,
pr
emi
um,
pol
i
cycov
er
 Cal
cul
at
ecostof
goodsboughtonhi
r
e
COMMERCI
9
AL
ARI
THMETI
C
10
WESTERNPROVI
NCE
MI
DTERM TEST
7
 Di
scussi
o
n
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Dai
l
y
f
i
nanci
al
t
r
ansact
i
on
summar
i
es
 char
t
s
 ZBECMat
h8pupi
l
’
s
book[
Page176201]
 LongmanMat
h8
pupi
l
sbook[
Page
5071]
 MKJrSecMat
h8
[
pg85103]
 ZBECJuni
orSec
COMMONSCHEME,
MATHS8&9
pur
chase
Mat
hBook9[
Page
143161]
 JrSecSchMat
h2nd
Ed[
Page94100]
 MKJrSecMat
h9
[
pg7598]
 ECZPastExam
paper
s
SOCI
AL&
COMMERC
I
AL
ARI
THMET
I
C
 Sal
ar
i
esand
Wages
 Taxes
 Pensi
onand
Soci
al
Schemes
 I
nv
est
ment
s
11
12
To
13
Rev
i
si
on
Rev
i
si
onAND
AND
EndofTer
m Exams
Endof
Ter
m
 Wor
koutpay
ment
s
f
orpi
ecewor
k&wor
k
perhour
 Comput
ededuct
i
on
f
r
om sal
ar
i
es
 Cal
cul
at
eov
ert
i
me
 Di
f
f
er
ent
i
at
e&
cal
cul
at
ei
ncomet
ax
andv
al
ueaddedt
ax
 Cal
cul
at
epensi
onand
compensat
i
on
 Cal
cul
at
edepr
eci
at
i
on
andappr
eci
at
i
on
Teacher
/
st
udentquest
i
on
andanswer
,
cl
assexer
ci
ses
/t
est
s
EndofTheTer
m
Exami
nat
i
onsWr
i
t
i
ngEt
c.
Test
,
Exer
ci
ses&
Not
es/
Book
Exam Quest
i
onPaper
s
Exams
WESTERNPROVI
NCE
8
COMMONSCHEME,
MATHS8&9
TERM I
I
I
WEEK TOPI
C
CARTESI
A
NPLANE
1
SUBTOPI
C
 TheCar
t
esi
an
Gr
aph
 Equat
i
onof
st
r
ai
ghtl
i
ne
2
3
4
FUNCTI
ON
S
 Rel
at
i
ons
 Mappi
ngs
 Setofor
der
ed
pai
r
s
 Li
neargr
aphs
WESTERNPROVI
NCE
OBJECTI
VES
SUGGESTED
TEACHI
NG
REFERENCE
METHODS
/
LEARNI
NGAI
DS
 Di
scussi
o
 Gr
aph
n
boar
d
Dr
awt
heXOYpl
ane
 ZBECMat
h8

D
e
mo
n
s
t
r

B
o
a
r
dr
u
l
e
r
pupi
l
’
sbook[
Page
Pl
otandr
eadt
he
at
i
on
 char
t
s
136141]
or
der
edpai
r(
x,
y
)on
 Teacher
 LongmanMat
h8
t
heXOYpl
ane
e
x
p
o
s
i
t
i
o
n
p
u
p
i
l
s
b
o
o
k
[
P
age
Joi
ndi
f
f
er
entpoi
nt
s

Q
u
e
s
t
i
o
n
7287]
ont
heCar
t
esi
anpl
ane
a
n
d

MKJ
rSecMat
h8
 Gr
aphst
r
ai
ghtl
i
nes
Answer
[
pg134144]
 Gr
oupi
ng
 ZBECJuni
orSec
Mat
hBook9[
Page
118123]
 JrSecSchMat
h
2ndEd[
Page9093]
 ECZPastexam
paper
s
 Di
scussi
o
 Char
t
s
n
 Col
our
ed
 Descr
i
bedi
f
f
er
ent
 LongmanMat
h8
 Demonst
r
chal
k
pupi
l
sbook[
Page
t
y
pesofr
el
at
i
onshi
ps
a
t
i
o
n

G
r
a
p
h
8
8
1
0
5
]
 Mapf
unct
i
onst
o
 Teacher
boar
d
 ZBECJuni
orSec
showr
el
at
i
onshi
p
COMMONSCHEME,
MATHS8&9
9
5
SOLI
D
SHAPES
 Thr
ee
di
mensi
onal
shapes
 I
dent
i
f
ymappi
ngs
f
r
om ar
r
owdi
agr
ams.
 Fi
ndt
her
angeoft
he
f
unct
i
onwhendomai
n
i
sgi
v
en
 Fi
ndaf
unct
i
ongi
v
en
asetofor
der
edpai
r
s.
 Dr
awgr
aphsofl
i
near
f
unct
i
ons
 Sol
v
epr
obl
ems
i
nv
ol
v
i
ngf
unct
i
ons
 I
dent
i
f
yconesand
py
r
ami
ds
 Dr
awnet
sofcones
andpy
r
ami
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scov
er
y
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Di
scov
er
y
39]
 ECZPastExam
paper
s
 Char
t
s
 Pr
ot
r
act
or
 Pai
rof
compasses
 Boar
d
r
ul
er
/
r
ul
er
 Col
our
ed
chal
k
 MKJrSecMat
h9
[
pg203215]
 ZBECJuni
orSec
Mat
hBook9[
Page
4561]
 ECZPastExam
paper
s
 ZBECMat
h8
pupi
l
’
sbook[
Page
244254]
 LongmanMat
h8
pupi
l
sbook[
Page
155169]
 MKJrSecMat
h8
[
pg164184]
 JrSecSchMat
h
nd
2 Ed[
Page7478]
 MKJrSecMat
h9
COMMONSCHEME,
MATHS8&9
Rev
i
si
on
and
MockExams/
I
nv
i
gi
l
at
i
on
And
Mar
ki
ng
10
To
13
Rev
i
si
onand
Mock-Exams/
I
nv
i
gi
l
at
i
on
AndMar
ki
ng
Teacher
/
st
udentquest
i
on
andanswer
,
cl
assexer
ci
ses
/t
est
sMockExami
nat
i
ons
Wr
i
t
i
ngEt
c.
SUBTOPI
C
OBJECTI
VES
[
pg216228]
Test
,
Exer
ci
ses&
Not
es/
Book
Exam Quest
i
onPaper
s
TERM I
I
I
WEEK
TOPI
C
COMPUTE
RS
1
 I
nt
r
oduct
i
ont
o
comput
er
s
 Fl
owchar
t
s
 Deci
si
onboxes
 Loops
 Si
mpl
epr
ogr
ams
2
WESTERNPROVI
NCE
 Descr
i
becomput
er
pr
ocesses
 Const
r
uctf
l
owchar
t
s
 Const
r
uctdeci
si
on
boxes
 I
dent
i
f
yandcr
eat
e
l
oopsi
nf
l
owchar
t
s
 Wr
i
t
esi
mpl
e
comput
er
pr
ogr
ammes
 Usesi
mpl
e
pr
ogr
ammest
o
cal
cul
at
ear
ea,
v
ol
ume,
f
i
ndav
er
ages
andr
esol
v
el
i
near
equat
i
on
18
SUGGESTED
TEACHI
NG
METHODS
/
LEARNI
NGAI
DS
 Di
scussi
o
n
 Demonst
r
at
i
on
 Teacher
exposi
t
i
on
 Quest
i
on
and
Answer
 Gr
oupi
ng
 Di
scov
er
y
 Comput
er
 Cal
cul
at
or
 char
t
s
REFERENCES
 LongmanMat
h8
pupi
l
sbook[
Page
208212]
 LongmanMat
h9
 MKJrSecMat
h8
 MKJrSe
cMat
h9
 ECZPastexam
paper
s
COMMONSCHEME,
MATHS8&9
THEGRADE9sSHOULDBEGI
VENALOTOFWORKFORREVI
SI
ONI
NORDER
TOPREPARETHEM FORTHEEXAMI
NATI
ONS
WESTERNPROVI
NCE
19
COMMONSCHEME,
MATHS8&9
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