2021annual teaching plans mathematics
TRANSCRIPT
2021Annual Teaching Plans
MATHEMATICSSenior Phase
OS1001373
ii
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Shuter & Shooter Publishers (Pty) LtdShuters House, 110 CB Downes Road, Pietermaritzburg 3201, South Africa
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Copyright © Shuter & Shooter Publishers (Pty) Ltd 2021
OS1001373 (TM2001453)
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iiiINTRODUCTION
INTRODUCTION
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iv INTRODUCTION
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vINTRODUCTION
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vi CONTENTS
CONTENTS
Grade 7 ................................................................................................1
Term 1 ................................................................................................................................... 2
Term 2 ................................................................................................................................... 4
Term 3 ................................................................................................................................... 6
Term 4 ................................................................................................................................... 8
Grade 8 ..............................................................................................11
Term 1 ..................................................................................................................................12
Term 2 ..................................................................................................................................15
Term 3 ..................................................................................................................................18
Term 4 ................................................................................................................................. 20
Grade 9 ..............................................................................................22
Term 1 ................................................................................................................................. 23
Term 2 ................................................................................................................................. 25
Term 3 ................................................................................................................................. 28
Term 4 ................................................................................................................................. 30
Programme of Assessment ............................................................31
Grade 7MATHEMATICS
7
1GRADE 7MATHEMATICS
2 Grade 7 MATHEMATICS Term 1
MATHEMATICS Term 1To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 7
Uni
tLB
TGRe
visio
nRe
vise
Inte
rmed
iate
Pha
se c
once
pts
Wee
k 1
Who
le n
umbe
rs
Calc
ulat
ion
tech
niqu
es•
Use
a ra
nge
of st
rate
gies
to p
erfo
rm a
nd c
heck
writ
ten
and
men
tal c
alcu
latio
ns o
f who
le n
umbe
rs in
clud
ing:
–lo
ng d
ivisi
on –
addi
ng, s
ubtra
ctin
g an
d m
ultip
lyin
g in
col
umns
–es
timat
ion
–ro
undi
ng o
ff an
d co
mpe
nsat
ing
–us
ing
a ca
lcul
ator
Mul
tiple
s an
d fa
ctor
s•
List
prim
e fa
ctor
s of n
umbe
rs to
at l
east
3-d
igit
who
le n
umbe
rs•
Find
the
LCM
and
HCF
of w
hole
num
bers
by
insp
ectio
n or
fa
ctor
isatio
n
Solv
ing
prob
lem
s•
Solv
e pr
oble
ms i
nvol
ving
who
le n
umbe
rs, i
nclu
ding
: –
Com
parin
g of
two
or m
ore
quan
titie
s of t
he sa
me
kind
(ra
tio)
–Co
mpa
ring
two
quan
titie
s of d
iffer
ent k
inds
(rat
e)•
Shar
ing
in a
giv
en ra
tio w
here
the
who
le is
giv
en
Wee
ks 2
–4Un
it 1:
Who
le n
umbe
rs1–
211–
9
Expo
nent
s
Men
tal c
alcu
latio
ns•
Det
erm
ine
squa
res t
o at
leas
t 12²
and
thei
r squ
are
root
s•
Det
erm
ine
cube
s to
at le
ast 6
³ and
thei
r cub
e ro
ots
Com
parin
g an
d re
pres
entin
g nu
mbe
rs in
exp
onen
tial f
orm
• Co
mpa
re a
nd re
pres
ent w
hole
num
bers
in e
xpon
entia
l for
m:
a b =
a ×
a ×a
×…
for b
num
ber o
f fac
tors
Calc
ulat
ions
usi
ng n
umbe
rs in
exp
onen
tial f
orm
• Re
cogn
ize a
nd u
se th
e ap
prop
riate
law
s of o
pera
tions
with
nu
mbe
rs in
volv
ing
expo
nent
s and
squa
re a
nd c
ube
root
s•
Calc
ulat
ions
invo
lvin
g al
l fou
r ope
ratio
ns u
sing
num
bers
in
expo
nent
ial f
orm
, lim
ited
expo
nent
s up
to 5
, and
squa
re a
nd
cube
root
s
Wee
k 5
Unit
2: E
xpon
ents
22–2
410
–11
3GRADE 7MATHEMATICS Term 1
© Shuter & Shooter Publishers
MATHEMATICS Term 1
Com
mon
Fr
actio
ns
Ord
erin
g, c
ompa
ring
and
sim
plify
ing
com
mon
frac
tions
• Ex
tend
to th
ousa
ndth
s
Calc
ulat
ions
with
frac
tions
• Ad
ditio
n an
d su
btra
ctio
n of
frac
tions
incl
udin
g m
ixed
num
bers
w
here
one
den
omin
ator
is n
ot a
mul
tiple
of t
he o
ther
.•
Mul
tiplic
atio
n co
mm
on fr
actio
ns, i
nclu
ding
mix
ed n
umbe
rs, n
ot
limite
d to
frac
tions
whe
re o
ne d
enom
inat
or is
a m
ultip
le o
f an
othe
r.
Calc
ulat
ion
tech
niqu
es•
Conv
ert m
ixed
num
bers
to c
omm
on fr
actio
ns in
ord
er to
pe
rform
cal
cula
tions
with
them
• Us
e kn
owle
dge
of m
ultip
les a
nd fa
ctor
s to
writ
e fra
ctio
ns in
the
simpl
est f
orm
bef
ore
or a
fter c
alcu
latio
ns.
• Us
e kn
owle
dge
of e
quiv
alen
t fra
ctio
ns to
add
and
subt
ract
co
mm
on fr
actio
ns
Perc
enta
ges
• Ca
lcul
ate
the
perc
enta
ge o
f par
t of a
who
le•
Calc
ulat
e pe
rcen
tage
incr
ease
or d
ecre
ase
of w
hole
num
bers
Solv
ing
prob
lem
s•
Solv
e pr
oble
ms i
n co
ntex
ts in
volv
ing
com
mon
frac
tions
and
m
ixed
num
bers
, •
incl
udin
g gr
oupi
ng a
nd sh
arin
g; a
nd fi
ndin
g fra
ctio
ns o
f who
le
num
bers
• So
lve
prob
lem
s in
cont
exts
invo
lvin
g pe
rcen
tage
s
Wee
ks 6
–8Un
it 6:
Com
mon
frac
tions
49–5
930
–34
Dec
imal
fra
ctio
ns
Ord
erin
g an
d co
mpa
ring
deci
mal
frac
tions
• Co
unt f
orw
ards
and
bac
kwar
ds in
dec
imal
frac
tions
to a
t lea
st 3
de
cim
al p
lace
s•
Plac
e va
lue
of d
ecim
als t
o at
leas
t 3 d
ecim
al p
lace
s•
Ord
er a
nd c
ompa
re d
ecim
al fr
actio
ns to
at l
east
3 d
ecim
als
• Ro
undi
ng o
ff de
cim
al fr
actio
ns to
at l
east
2 d
ecim
al p
lace
s
Wee
ks 8
–9Un
it 7:
Dec
imal
frac
tions
60–6
535
–39
4 Grade 7 MATHEMATICS Term 2
MATHEMATICS Term 2To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 7
Uni
tLB
TG
Dec
imal
fra
ctio
ns
Calc
ulat
ions
with
dec
imal
frac
tions
• Ad
ditio
n an
d su
btra
ctio
n to
dec
imal
frac
tions
of a
t lea
st th
ree
deci
mal
pla
ces
• M
ultip
ly d
ecim
al fr
actio
ns to
incl
ude:
–de
cim
al fr
actio
ns to
at l
east
3 d
ecim
al p
lace
s by
who
le
num
bers
–D
ecim
al fr
actio
ns to
at l
east
2 d
ecim
al p
lace
s by
deci
mal
fra
ctio
ns to
at l
east
1 d
ecim
al p
lace
• D
ivid
e de
cim
al fr
actio
ns to
incl
ude
deci
mal
frac
tions
to a
t lea
st
3 de
cim
al p
lace
s by
who
le n
umbe
rs
Calc
ulat
ion
tech
niqu
es•
Use
know
ledg
e of
pla
ce v
alue
to e
stim
ate
the
num
ber o
f de
cim
al p
lace
s in
the
resu
lt be
fore
• Us
e ro
undi
ng o
ff an
d a
calc
ulat
or to
che
ck re
sults
whe
re
appr
opria
te
Solv
ing
prob
lem
s•
Solv
e pr
oble
ms i
n co
ntex
t inv
olvi
ng d
ecim
al fr
actio
ns
Equi
vale
nt fo
rms
• Re
cogn
ize e
quiv
alen
ce b
etw
een
com
mon
frac
tion
and
deci
mal
fra
ctio
n fo
rms o
f the
sam
e nu
mbe
r•
Reco
gnize
equ
ival
ence
bet
wee
n co
mm
on fr
actio
n, d
ecim
al
fract
ion
and
perc
enta
ge fo
rms o
f the
sam
e nu
mbe
r
Wee
ks 1
–2Un
it 7:
Dec
imal
frac
tions
60–6
535
–39
Inte
gers
Coun
ting,
ord
erin
g an
d co
mpa
ring
inte
gers
• Co
unt f
orw
ards
and
bac
kwar
ds in
inte
gers
for a
ny in
terv
al•
Reco
gnize
, ord
er a
nd c
ompa
re in
tege
rs
Calc
ulat
ions
with
inte
gers
• Ad
d an
d su
btra
ct w
ith in
tege
rs
Prop
ertie
s of
inte
gers
• Re
cogn
ize a
nd u
se c
omm
utat
ive
and
asso
ciat
ive
prop
ertie
s of
addi
tion
for i
nteg
ers
Wee
ks 3
–5Un
it 18
: Int
eger
s12
3–12
996
–99
5GRADE 7MATHEMATICS Term 2
© Shuter & Shooter Publishers
MATHEMATICS Term 2
Num
eric
and
Ge
omet
ric
Patte
rns
Inve
stig
ate
and
exte
nd p
atte
rns
• In
vest
igat
e an
d ex
tend
num
eric
and
geo
met
ric p
atte
rns l
ooki
ng
for r
elat
ions
hips
bet
wee
n nu
mbe
rs, i
nclu
ding
pat
tern
s: –
repr
esen
ted
in p
hysic
al o
r dia
gram
form
–no
t lim
ited
to se
quen
ces i
nvol
ving
a c
onst
ant
–di
ffere
nce
or ra
tio –
of le
arne
r’s o
wn
crea
tion
–re
pres
ente
d in
tabl
es•
Des
crib
e an
d ju
stify
the
gene
ral r
ules
for o
bser
ved
rela
tions
hips
be
twee
n nu
mbe
rs in
ow
n w
ords
Wee
ks 6
–7Un
it 11
: Num
eric
and
ge
omet
ric p
atte
rns
84–8
864
–65
Func
tions
and
Re
latio
nshi
ps
Inpu
t and
out
put v
alue
s•
Det
erm
ine
inpu
t val
ues,
outp
ut v
alue
s or r
ules
for p
atte
rns a
nd
rela
tions
hips
usin
g: –
flow
dia
gram
s –
tabl
es –
form
ulae
Equi
vale
nt fo
rms
• D
eter
min
e, in
terp
ret a
nd ju
stify
equ
ival
ence
of d
iffer
ent
desc
riptio
ns o
f the
sam
e re
latio
nshi
p or
rule
pre
sent
ed:
–ve
rbal
ly –
in fl
ow d
iagr
ams
–in
tabl
es –
by fo
rmul
ae –
by n
umbe
r sen
tenc
es
Wee
ks 8
–9Un
it 8:
Fun
ctio
ns a
nd
rela
tions
hips
66–6
840
6 Grade 7 MATHEMATICS Term 3
MATHEMATICS Term 3To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 7
Uni
tLB
TG
Alge
brai
c ex
pres
sions
• Re
cogn
ise a
nd in
terp
ret r
ules
or r
elat
ions
hips
repr
esen
ted
in
sym
bolic
form
• Id
entif
y va
riabl
es a
nd c
onst
ants
in g
iven
form
ulae
and
eq
uatio
ns
Wee
k 1
Unit
13: A
lgeb
raic
ex
pres
sions
92–9
367
–68
Alge
brai
c eq
uatio
ns
Num
ber s
ente
nces
• W
rite
num
ber s
ente
nces
to d
escr
ibe
prob
lem
situ
atio
ns•
Anal
yse
and
inte
rpre
t num
ber s
ente
nces
that
des
crib
e a
give
n sit
uatio
n•
Iden
tify
varia
bles
and
con
stan
ts in
giv
en fo
rmul
ae o
r equ
atio
ns•
Solv
e an
d co
mpl
ete
num
ber s
ente
nces
by:
–in
spec
tion
–tri
al a
nd im
prov
emen
t•
Solv
e eq
uatio
ns b
y su
bstit
utio
n
Wee
ks 2
–3Un
it 14
: Alg
ebra
ic
equa
tions
94–9
669
–70
Cons
truct
ion
of G
eom
etric
Fi
gure
s
Mea
surin
g an
gles
• Ac
cura
tely
use
a p
rotra
ctor
to m
easu
re a
nd c
lass
ify a
ngle
s: –
< 90
o (ac
ute
angl
es)
–Ri
ght-
angl
es –
> 90
o (ob
tuse
ang
les)
–St
raig
ht a
ngle
s –
> 18
0o but
less
than
360
o (r
eflex
ang
les)
Cons
truc
tions
• Ac
cura
tely
con
stru
ct g
eom
etric
figu
res a
ppro
pria
tely
usin
g a
com
pass
, rul
er a
nd p
rotra
ctor
, inc
ludi
ng:
–an
gles
, to
one
degr
ee o
f acc
urac
y –
circ
les
–pa
ralle
l lin
es –
perp
endi
cula
r lin
es•
Des
crib
e an
d na
me
parts
of a
circ
le
Wee
k 4
Unit
3: C
onst
ruct
ion
of
geom
etric
figu
res
25–3
012
–13
Geom
etry
of
Stra
ight
Lin
es
Defi
ne:
• Li
ne se
gmen
t•
Ray
• St
raig
ht li
ne•
Para
llel l
ines
• Pe
rpen
dicu
lar l
ines
Wee
k 5
Unit
5: G
eom
etry
of
stra
ight
line
s38
–42
16–1
8
7GRADE 7MATHEMATICS Term 3
© Shuter & Shooter Publishers
MATHEMATICS Term 3
Geom
etry
of 2
D
Shap
es
Clas
sify
ing
2D s
hape
s•
Des
crib
e, so
rt, n
ame
and
com
pare
tria
ngle
s acc
ordi
ng to
thei
r sid
es a
nd a
ngle
s, fo
cuss
ing
on:
–eq
uila
tera
l tria
ngle
s –
isosc
eles
tria
ngle
s –
right
-ang
led
trian
gles
• D
escr
ibe,
sort,
nam
e an
d co
mpa
re q
uadr
ilate
rals
in te
rms o
f: –
leng
th o
f sid
es –
para
llel a
nd p
erpe
ndic
ular
side
s –
size
of a
ngle
s (rig
ht a
ngle
s or n
ot)
Sim
ilar a
nd c
ongr
uent
2D
sha
pes
• Re
cogn
ise a
nd d
escr
ibe
simila
r and
con
grue
nt fi
gure
s by
com
parin
g: –
shap
e –
size
Solv
ing
prob
lem
s•
Solv
e sim
ple
geom
etric
pro
blem
s inv
olvi
ng u
nkno
wn
sides
and
an
gles
in tr
iang
les a
nd q
uadr
ilate
rals,
usin
g kn
own
prop
ertie
s
Wee
ks 6
–7Un
it 4:
Geo
met
ry o
f 2D
sh
apes
31–3
714
–15
Tran
sfor
mat
ion
Geom
etry
Tran
sfor
mat
ions
• Re
cogn
ize, d
escr
ibe
and
perfo
rm tr
ansla
tions
, refl
ectio
ns a
nd
rota
tions
with
geo
met
ric fi
gure
s and
shap
es o
n sq
uare
d pa
per
• Id
entif
y an
d dr
aw li
nes o
f sym
met
ry in
geo
met
ric fi
gure
s
Enla
rgem
ents
and
redu
ctio
ns
• D
raw
enl
arge
men
ts a
nd re
duct
ions
of g
eom
etric
figu
res o
n sq
uare
d pa
per a
nd c
ompa
re th
em in
term
s of s
hape
and
size
Wee
ks 8
–9Un
it 16
: Tra
nsfo
rmat
ion
Geom
etry
106–
111
76–8
1
8 Grade 7 MATHEMATICS Term 4
Topi
cCo
nten
tTi
me
allo
catio
nW
here
to fi
nd it
in P
rem
ier M
athe
mat
ics G
rade
7
Uni
tLB
TG
Area
and
pe
rimet
er o
f 2D
sh
apes
Are
a an
d pe
rimet
er•
Calc
ulat
e th
e pe
rimet
er o
f reg
ular
and
irre
gula
r pol
ygon
s•
Use
appr
opria
te fo
rmul
ae to
cal
cula
te p
erim
eter
and
are
a of
: –
squa
res
–re
ctan
gles
–tri
angl
es
Calc
ulat
ions
and
sol
ving
pro
blem
s•
Solv
e pr
oble
ms i
nvol
ving
per
imet
er a
nd a
rea
of p
olyg
ons
• Ca
lcul
ate
to a
t lea
st 1
dec
imal
pla
ce•
Use
and
conv
ert b
etw
een
appr
opria
te S
I uni
ts, i
nclu
ding
: –
mm
2 ↔ c
m2
–cm
2 ↔ m
2
Wee
ks 1
–2Un
it 9:
Are
a an
d pe
rimet
er
of 2
D sh
apes
69–7
441
Surfa
ce a
rea
and
volu
me
of
3D o
bjec
ts
Surf
ace
area
and
vol
ume
• Us
e ap
prop
riate
form
ulae
to c
alcu
late
the
surfa
ce a
rea,
vol
ume
and
capa
city
of:
–cu
bes
–re
ctan
gula
r pris
ms
• D
escr
ibe
the
inte
rrela
tions
hip
betw
een
surfa
ce a
rea
and
volu
me
of th
e ob
ject
s men
tione
d ab
ove
Calc
ulat
ions
and
sol
ving
pro
blem
s•
Solv
e pr
oble
ms i
nvol
ving
surfa
ce a
rea,
vol
ume
and
capa
city
• Us
e an
d co
nver
t bet
wee
n ap
prop
riate
SI u
nits
, inc
ludi
ng:
–m
m2 ↔
cm
2
–cm
2 ↔ m
2
–m
m3 ↔
cm
3
–cm
3 ↔ m
3
• Us
e eq
uiva
lenc
e be
twee
n un
its w
hen
solv
ing
prob
lem
s: –
1 cm
3 ↔ 1
ml
• 1
m3 ↔
1 k
l
Wee
ks 3
–4Un
it 10
: Sur
face
are
a an
d vo
lum
e of
3D
shap
es75
–78
43–4
4
MATHEMATICS Term 4
9GRADE 7MATHEMATICS Term 4
© Shuter & Shooter Publishers
Dat
a ha
ndlin
g
Colle
ct d
ata
• Po
se q
uest
ions
rela
ting
to so
cial
, eco
nom
ic, a
nd e
nviro
nmen
tal
issue
s in
own
envi
ronm
ent
• Se
lect
app
ropr
iate
sour
ces f
or th
e co
llect
ion
of d
ata
(incl
udin
g pe
ers,
fam
ily, n
ewsp
aper
s, bo
oks,
mag
azin
es)
• D
istin
guish
bet
wee
n sa
mpl
es a
nd p
opul
atio
ns a
nd su
gges
t ap
prop
riate
sam
ples
for i
nves
tigat
ion
• D
esig
n an
d us
e sim
ple
ques
tionn
aire
s to
answ
er q
uest
ions
with
: –
yes/
no ty
pe re
spon
ses
–m
ultip
le c
hoic
e re
spon
ses
Org
aniz
e an
d su
mm
ariz
e da
ta•
Org
anize
(inc
ludi
ng g
roup
ing
whe
re a
ppro
pria
te) a
nd re
cord
da
ta u
sing
–ta
lly m
arks
–ta
bles
–st
em-a
nd-le
af d
ispla
ys•
Grou
p da
ta in
to in
terv
als
• Su
mm
arize
and
dist
ingu
ishin
g be
twee
n un
grou
ped
num
eric
al
data
by
dete
rmin
ing:
–m
ean
–m
edia
n –
mod
e•
Iden
tify
the
larg
est a
nd sm
alle
st sc
ores
in a
dat
a se
t and
de
term
ine
the
diffe
renc
e be
twee
n th
em in
ord
er to
det
erm
ine
the
spre
ad o
f the
dat
a (ra
nge)
Repr
esen
t dat
a•
Dra
w a
var
iety
of g
raph
s by
hand
/ tec
hnol
ogy
to d
ispla
y an
d in
terp
ret d
ata
(gro
uped
and
ung
roup
ed) i
nclu
ding
: –
bar g
raph
s and
dou
ble
bar g
raph
s –
hist
ogra
ms w
ith g
iven
inte
rval
s –
pie
char
ts
Inte
rpre
t dat
a•
Criti
cally
read
and
inte
rpre
t dat
a re
pres
ente
d in
: –
wor
ds –
bar g
raph
s –
doub
le b
ar g
raph
s –
pie
char
ts –
hist
ogra
ms
Wee
ks 5
–6
Unit
23: C
olle
ct, o
rgan
ise,
sum
mar
ise, r
epre
sent
, an
alys
e, in
terp
ret a
nd
repo
rt da
ta
143–
153
108–
112
MATHEMATICS Term 4
10 Grade 7 MATHEMATICS Term 4
Topi
cCo
nten
tTi
me
allo
catio
nW
here
to fi
nd it
in P
rem
ier M
athe
mat
ics G
rade
7
Uni
tLB
TG
Dat
a ha
ndlin
g
Ana
lyse
dat
a•
Criti
cally
ana
lyse
dat
a by
ans
wer
ing
ques
tions
rela
ted
to:
–da
ta c
ateg
orie
s, in
clud
ing
data
inte
rval
s –
data
sour
ces a
nd c
onte
xts
–ce
ntra
l ten
denc
ies (
mea
n, m
ode,
med
ian)
–sc
ales
use
d on
gra
phs
Repo
rt d
ata
• Su
mm
arise
dat
a in
shor
t par
agra
phs t
hat i
nclu
de:
–dr
awin
g co
nclu
sions
abo
ut th
e da
ta –
mak
ing
pred
ictio
ns b
ased
on
the
data
–id
entif
ying
sour
ces o
f erro
r and
bia
s in
the
data
–ch
oosin
g ap
prop
riate
sum
mar
y st
atist
ics f
or th
e da
ta (m
ean,
m
edia
n, m
ode)
Wee
ks 5
–6
Unit
23: C
olle
ct, o
rgan
ise,
sum
mar
ise, r
epre
sent
, an
alys
e, in
terp
ret a
nd
repo
rt da
ta
143–
153
108–
112
Revi
sion
Revi
se T
erm
3 a
nd Te
rm 4
wor
kW
eeks
7–8
Revi
sion
MATHEMATICS Term 4
8Grade 8MATHEMATICS
11GRADE 8MATHEMATICS
12 Grade 8 MATHEMATICS Term 1
MATHEMATICS Term 1To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 8
Uni
tLB
TGRe
visio
nRe
vise
Gra
de 7
wor
kW
eek
1
Who
le n
umbe
rs
Calc
ulat
ions
usi
ng w
hole
num
bers
Revi
se:
• Ca
lcul
atio
ns u
sing
all f
our o
pera
tions
on
who
le n
umbe
rs,
estim
atin
g an
d us
ing
calc
ulat
ors w
here
app
ropr
iate
Calc
ulat
ion
tech
niqu
es•
Use
a ra
nge
of st
rate
gies
to p
erfo
rm a
nd c
heck
writ
ten
and
men
tal c
alcu
latio
ns w
ith w
hole
num
bers
incl
udin
g: –
Estim
atio
n –
Addi
ng, s
ubtra
ctin
g an
d m
ultip
lyin
g in
col
umns
–Lo
ng d
ivisi
on –
Roun
ding
off
and
com
pens
atin
g –
Usin
g a
calc
ulat
or
Mul
tiple
s an
d fa
ctor
sRe
vise
:•
Prim
e fa
ctor
s of n
umbe
rs to
at l
east
3-d
igit
who
le n
umbe
rs•
LCM
and
HCF
of w
hole
num
bers
, by
insp
ectio
n or
fact
orisa
tion
Solv
ing
prob
lem
sRe
vise
:•
Solv
e pr
oble
ms i
nvol
ving
who
le n
umbe
rs, i
nclu
ding
: –
Com
parin
g tw
o or
mor
e qu
antit
ies o
f the
sam
e ki
nd (r
atio
) –
Com
parin
g tw
o qu
antit
ies o
f diff
eren
t kin
ds (r
ate)
–Sh
arin
g in
a g
iven
ratio
whe
re th
e w
hole
is g
iven
• Ex
tend
to in
crea
sing
or d
ecre
asin
g of
a n
umbe
r in
a gi
ven
ratio
• So
lve
prob
lem
s tha
t inv
olve
who
le n
umbe
rs, p
erce
ntag
es a
nd
deci
mal
frac
tions
in fi
nanc
ial c
onte
xts
Wee
ks 2
–3Un
it 1:
Who
le n
umbe
rs1–
131–
9
13GRADE 8MATHEMATICS Term 1
© Shuter & Shooter Publishers
MATHEMATICS Term 1
Inte
gers
Calc
ulat
ions
with
inte
gers
• Re
vise
–
addi
tion
and
subt
ract
ion
with
inte
gers
• M
ultip
ly a
nd d
ivid
e w
ith in
tege
rs•
Perfo
rm c
alcu
latio
ns in
volv
ing
all f
our o
pera
tions
with
inte
gers
• Pe
rform
cal
cula
tions
invo
lvin
g al
l fou
r ope
ratio
ns w
ith n
umbe
rs
that
invo
lve
squa
res,
cube
s, sq
uare
root
s and
cub
e ro
ots o
f in
tege
rs
Prop
ertie
s of
inte
gers
• Re
cogn
ise a
nd u
se c
omm
utat
ive,
ass
ocia
tive
and
dist
ribut
ive
prop
ertie
s of a
dditi
on a
nd m
ultip
licat
ion
for i
nteg
ers
• Re
cogn
ize a
nd u
se a
dditi
ve a
nd m
ultip
licat
ive
inve
rses
for
inte
gers
Wee
ks 4
–6Un
it 2:
Inte
gers
14–2
510
–16
Com
mon
Fr
actio
ns
Calc
ulat
ions
with
frac
tions
• D
ivid
e w
hole
num
bers
and
com
mon
frac
tions
by
com
mon
fra
ctio
ns•
Calc
ulat
e th
e sq
uare
s, cu
bes,
squa
re ro
ots a
nd c
ube
root
s of
com
mon
frac
tions
• Ca
lcul
ate
amou
nts i
f giv
en p
erce
ntag
e in
crea
se o
r dec
reas
e•
Calc
ulat
ions
and
solv
ing
prob
lem
s
Calc
ulat
ion
tech
niqu
es•
Use
know
ledg
e of
reci
proc
al re
latio
nshi
ps to
div
ide
com
mon
fra
ctio
ns
Perc
enta
ge•
Calc
ulat
e am
ount
s if g
iven
per
cent
age
incr
ease
or d
ecre
ase
Solv
ing
prob
lem
s•
Solv
e pr
oble
ms i
n co
ntex
ts in
volv
ing
com
mon
frac
tions
and
m
ixed
num
bers
, inc
ludi
ng g
roup
ing,
shar
ing
and
findi
ng
fract
ions
of w
hole
num
bers
• So
lve
prob
lem
s in
cont
exts
invo
lvin
g pe
rcen
tage
s
Wee
ks 6
–8Un
it 13
: Com
mon
frac
tions
119–
129
84–8
9
14 Grade 8 MATHEMATICS Term 1
MATHEMATICS Term 1To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 8
Uni
tLB
TG
Dec
imal
Fr
actio
ns
Calc
ulat
ions
with
dec
imal
frac
tions
• M
ultip
licat
ion
of d
ecim
al fr
actio
ns b
y de
cim
al fr
actio
ns n
ot
limite
d to
one
dec
imal
pla
ce•
Div
ision
of d
ecim
al fr
actio
ns b
y de
cim
al fr
actio
ns•
Calc
ulat
e th
e sq
uare
s, cu
bes,
squa
re ro
ots a
nd c
ube
root
s of
deci
mal
frac
tions
Calc
ulat
ion
tech
niqu
es•
Use
know
ledg
e of
pla
ce v
alue
to e
stim
ate
the
num
ber o
f de
cim
al p
lace
s in
the
resu
lt be
fore
per
form
ing
calc
ulat
ions
• Us
e ro
undi
ng o
ff an
d a
calc
ulat
or to
che
ck re
sults
whe
re
appr
opria
te
Wee
ks 8
–9Un
it 14
: Dec
imal
frac
tions
130–
141
90–9
4
15GRADE 8MATHEMATICS Term 2
© Shuter & Shooter Publishers
MATHEMATICS Term 2
Dec
imal
Fr
actio
ns
Calc
ulat
ions
with
dec
imal
frac
tions
• Re
vise
–
Mul
tiplic
atio
n of
dec
imal
frac
tions
by
deci
mal
frac
tions
not
lim
ited
to o
ne d
ecim
al p
lace
–D
ivisi
on o
f dec
imal
frac
tions
by
deci
mal
frac
tions
–Ca
lcul
ate
the
squa
res,
cube
s, sq
uare
root
s and
cub
e ro
ots o
f de
cim
al fr
actio
ns
Solv
ing
prob
lem
s•
Solv
e pr
oble
ms i
n co
ntex
t inv
olvi
ng d
ecim
al
Wee
ks 1
–2Un
it 14
: Dec
imal
frac
tions
130–
141
90–9
4
Expo
nent
s
Com
parin
g an
d re
pres
entin
g nu
mbe
rs in
exp
onen
tial f
orm
• Re
vise
com
pare
and
repr
esen
t who
le n
umbe
rs in
exp
onen
tial
form
• Co
mpa
re a
nd re
pres
ent i
nteg
ers i
n ex
pone
ntia
l for
m•
Com
pare
and
repr
esen
t num
bers
in sc
ient
ific
nota
tion,
lim
ited
to p
ositi
ve e
xpon
ents
Calc
ulat
ions
usi
ng n
umbe
rs in
exp
onen
tial f
orm
• Es
tabl
ish g
ener
al la
ws o
f exp
onen
ts, l
imite
d to
: –
am ×
an =
am
+n
–am
÷ a
n = a
m–n
if m
>n –
(am)n =
am
×n
–(a
× t)
n = a
n × tn
–a0 =
1•
Reco
gnise
and
use
the
appr
opria
te la
ws o
f ope
ratio
ns u
sing
num
bers
invo
lvin
g ex
pone
nts a
nd sq
uare
and
cub
e ro
ots
• Pe
rform
cal
cula
tions
invo
lvin
g al
l fou
r ope
ratio
ns w
ith n
umbe
rs
that
invo
lve
squa
res,
cube
s, sq
uare
and
cub
e ro
ots o
f int
eger
s•
Calc
ulat
e th
e sq
uare
s, cu
bes,
squa
re a
nd c
ube
root
s of r
atio
nal
num
bers
Solv
ing
prob
lem
s•
Solv
e pr
oble
ms i
n co
ntex
ts in
volv
ing
num
bers
in e
xpon
entia
l fo
rm
Wee
ks 2
–4Un
it 3:
Exp
onen
ts26
–36
17–2
4
16 Grade 8 MATHEMATICS Term 2
MATHEMATICS Term 2To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 8
Uni
tLB
TG
Num
eric
and
Ge
omet
ric
Patte
rns
Inve
stig
ate
and
exte
nd p
atte
rns
• Re
vise
inve
stig
ate
and
exte
nd n
umer
ic a
nd g
eom
etric
pat
tern
s lo
okin
g fo
r rel
atio
nshi
ps b
etw
een
num
bers
, inc
ludi
ng p
atte
rns:
–re
pres
ente
d in
phy
sical
or d
iagr
am fo
rm –
not l
imite
d to
sequ
ence
s inv
olvi
ng a
con
stan
t diff
eren
ce o
r ra
tio –
of le
arne
r’s o
wn
crea
tion
–re
pres
ente
d in
tabl
es•
Exte
nd in
vest
igat
e an
d ex
tend
num
eric
and
geo
met
ric p
atte
rns
look
ing
for r
elat
ions
hips
bet
wee
n nu
mbe
rs, i
nclu
ding
pat
tern
s re
pres
ente
d al
gebr
aica
lly•
Des
crib
e an
d ju
stify
the
gene
ral r
ules
for o
bser
ved
rela
tions
hips
be
twee
n nu
mbe
rs in
ow
n w
ords
or i
n al
gebr
aic
lang
uage
Wee
ks 5
–7Un
it 4:
Num
eric
and
ge
omet
ric p
atte
rns
37–4
325
–28
Func
tions
and
Re
latio
nshi
ps
Inpu
t and
out
put v
alue
s•
Revi
se, d
eter
min
e in
put v
alue
s, ou
tput
val
ues o
r rul
es fo
r pa
ttern
s and
rela
tions
hips
usin
g: –
flow
dia
gram
s –
tabl
es –
form
ulae
• Ex
tend
det
erm
ine
inpu
t val
ues,
outp
ut v
alue
s or r
ules
for
patte
rns a
nd re
latio
nshi
ps u
sing
equa
tions
Equi
vale
nt fo
rms
• Re
vise
det
erm
ine,
inte
rpre
t and
just
ify e
quiv
alen
ce o
f diff
eren
t de
scrip
tions
of t
he sa
me
rela
tions
hip
or ru
le p
rese
nted
: –
verb
ally
–in
flow
dia
gram
s –
in ta
bles
–by
form
ulae
–by
num
ber s
ente
nces
• Ex
tend
det
erm
ine,
inte
rpre
t and
just
ify e
quiv
alen
ce o
f diff
eren
t de
scrip
tions
of t
he sa
me
rela
tions
hip
or ru
le p
rese
nted
by
equa
tions
Wee
ks 7
–8Un
it 5:
Fun
ctio
ns a
nd
rela
tions
hips
44–4
929
–31
17GRADE 8MATHEMATICS Term 2
© Shuter & Shooter Publishers
MATHEMATICS Term 2
Alge
brai
c Ex
pres
sions
Alg
ebra
ic la
ngua
ge•
Reco
gnize
and
iden
tify
conv
entio
ns fo
r writ
ing
alge
brai
c ex
pres
sions
• Id
entif
y an
d cl
assif
y lik
e an
d un
like
term
s in
alge
brai
c ex
pres
sions
• Re
cogn
ize a
nd id
entif
y co
effici
ents
and
exp
onen
ts in
alg
ebra
ic
expr
essio
ns
Expa
nd a
nd s
impl
ify a
lgeb
raic
exp
ress
ions
• Us
e co
mm
utat
ive,
ass
ocia
tive
and
dist
ribut
ive
law
s for
ratio
nal
num
bers
and
law
s of e
xpon
ents
• Ad
d an
d su
btra
ct li
ke te
rms i
n al
gebr
aic
expr
essio
ns
Wee
k 9
Unit
6: A
lgeb
raic
ex
pres
sions
50–5
732
–37
18 Grade 8 MATHEMATICS Term 3
MATHEMATICS Term 3To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 8
Uni
tLB
TG
Alge
brai
c Ex
pres
sions
Expa
nd a
nd s
impl
ify a
lgeb
raic
exp
ress
ions
• Us
e co
mm
utat
ive,
ass
ocia
tive
and
dist
ribut
ive
law
s for
ratio
nal
num
bers
and
law
s o e
xpon
ents
to:
• Ad
d an
d su
btra
ct li
ke te
rms i
n al
gebr
aic
expr
essio
ns•
Mul
tiply
inte
gers
and
mon
omia
ls by
: –
mon
omia
ls –
bino
mia
ls –
trino
mia
ls•
Div
ide
the
follo
win
g by
inte
gers
or m
onom
ials:
–m
onom
ials
–bi
nom
ials
–tri
nom
ials
• Si
mpl
ify a
lgeb
raic
exp
ress
ions
invo
lvin
g th
e ab
ove
oper
atio
ns•
Det
erm
ine
the
squa
res,
cube
s, sq
uare
root
s and
cub
e ro
ots o
f sin
gle
alge
brai
c te
rms o
r lik
e al
gebr
aic
term
s•
Det
erm
ine
the
num
eric
al v
alue
of a
lgeb
raic
exp
ress
ions
by
subs
titut
ion
Wee
ks 1
–2Un
it 8:
Alg
ebra
ic
expr
essio
ns66
–74
32–3
7
Alge
brai
c Eq
uatio
ns
Equa
tions
• Us
e su
bstit
utio
n in
equ
atio
ns to
gen
erat
e ta
bles
of o
rder
ed
pairs
• Ex
tend
solv
ing
equa
tions
to in
clud
e: –
usin
g ad
ditiv
e an
d m
ultip
licat
ive
inve
rses
–us
ing
law
s of e
xpon
ents
Wee
ks 3
–4Un
it 9:
Alg
ebra
ic e
quat
ions
75–7
938
–40
Geom
etry
of
Stra
ight
Lin
es
Ang
le re
latio
nshi
ps•
Reco
gnize
and
des
crib
e pa
irs o
f ang
les f
orm
ed b
y: –
perp
endi
cula
r lin
es –
inte
rsec
ting
lines
–pa
ralle
l lin
es c
ut b
y a
trans
vers
al
Solv
ing
prob
lem
s•
Solv
e ge
omet
ric p
robl
ems u
sing
the
rela
tions
hips
bet
wee
n pa
irs o
f ang
les d
escr
ibed
abo
ve
Wee
ks 5
–7Un
it 12
: Geo
met
ry o
f st
raig
ht li
nes
103–
113
71–7
5
19GRADE 8MATHEMATICS Term 3
© Shuter & Shooter Publishers
MATHEMATICS Term 3
Geom
etry
of 2
D
Shap
es
Clas
sify
ing
2D s
hape
s•
Iden
tify
and
writ
e cl
ear d
efini
tions
of t
riang
les i
n te
rms o
f the
ir sid
es a
nd a
ngle
s, di
stin
guish
ing
betw
een:
–eq
uila
tera
l tria
ngle
s –
isosc
eles
tria
ngle
s –
right
-ang
led
trian
gles
Cons
truc
tions
Inve
stig
atin
g pr
oper
ties
of g
eom
etric
figu
res
• In
vest
igat
e th
e an
gles
in a
tria
ngle
, foc
usin
g on
: –
the
sum
of t
he in
terio
r ang
les o
f tria
ngle
s –
the
size
of a
ngle
s in
an e
quila
tera
l tria
ngle
–th
e sid
es a
nd b
ase
angl
es o
f an
isosc
eles
tria
ngle
Clas
sify
ing
2D s
hape
s•
Iden
tify
and
writ
e cl
ear d
efini
tions
of q
uadr
ilate
rals
in te
rms o
f th
eir s
ides
and
ang
les,
dist
ingu
ishin
g be
twee
n: –
para
llelo
gram
–re
ctan
gle
–sq
uare
–rh
ombu
s –
trape
zium
–ki
te
Cons
truc
tions
Inve
stig
atin
g pr
oper
ties
of g
eom
etric
figu
res
• In
vest
igat
e sid
es a
nd a
ngle
s in
quad
rilat
eral
s, fo
cusin
g on
: –
the
sum
of t
he in
terio
r ang
les o
f qua
drila
tera
ls –
the
sides
and
opp
osite
ang
les o
f par
alle
logr
ams
Solv
ing
prob
lem
s•
Solv
e ge
omet
ric p
robl
ems i
nvol
ving
unk
now
n sid
es a
nd a
ngle
s in
tria
ngle
s and
qua
drila
tera
ls, u
sing
know
n pr
oper
ties a
nd
defin
ition
s.
Sim
ilar a
nd c
ongr
uent
2D
sha
pes
• Id
entif
y an
d de
scrib
e th
e pr
oper
ties o
f con
grue
nt sh
apes
• Id
entif
y an
d de
scrib
e th
e pr
oper
ties o
f sim
ilar s
hape
s
Solv
ing
prob
lem
s•
Solv
e ge
omet
ric p
robl
ems i
nvol
ving
unk
now
n sid
es a
nd a
ngle
s in
tria
ngle
s and
qua
drila
tera
ls, u
sing
know
n pr
oper
ties a
nd
defin
ition
s.
Wee
ks 7
–9Un
it 11
: Geo
met
ry o
f 2D
sh
apes
93–1
0268
–70
20 Grade 8 MATHEMATICS Term 4
Topi
cCo
nten
tTi
me
allo
catio
nW
here
to fi
nd it
in P
rem
ier M
athe
mat
ics G
rade
8
Uni
tLB
TG
Grap
hs
Inte
rpre
ting
grap
hs•
Revi
se: A
naly
se a
nd in
terp
ret g
loba
l gra
phs o
f pro
blem
sit
uatio
ns, w
ith sp
ecia
l foc
us o
n th
e fo
llow
ing
trend
s and
fe
atur
es:
–lin
ear o
r non
-line
ar –
cons
tant
, inc
reas
ing
or d
ecre
asin
g•
Anal
yse
and
inte
rpre
t glo
bal g
raph
s of p
robl
em si
tuat
ions
, with
a
spec
ial f
ocus
on
the
follo
win
g tre
nds a
nd fe
atur
es:
–m
axim
um o
r min
imum
–di
scre
te o
r con
tinuo
us
Dra
win
g gr
aphs
• D
raw
glo
bal g
raph
s fro
m g
iven
des
crip
tions
of a
pro
blem
sit
uatio
n, id
entif
ying
feat
ures
list
ed a
bove
• Us
e ta
bles
or o
rder
ed p
airs
to p
lot p
oint
s and
dra
w g
raph
s on
the
Carte
sian
plan
e
Wee
ks 1
–2Un
it 21
: Gra
phs
201–
217
135–
142
Tran
sfor
mat
ion
Geom
etry
Tran
sfor
mat
ions
• Re
cogn
ize, d
escr
ibe
and
perfo
rm tr
ansf
orm
atio
ns w
ith p
oint
s on
a c
o-or
dina
te p
lane
, foc
usin
g on
: –
refle
ctin
g a
poin
t in
the
X-ax
is or
Y-a
xis
–tra
nsla
ting
a po
int w
ithin
and
acr
oss q
uadr
ants
• Re
cogn
ize, d
escr
ibe
and
perfo
rm tr
ansf
orm
atio
ns w
ith tr
iang
les
on a
co-
ordi
nate
pla
ne, f
ocus
ing
on th
e co
-ord
inat
es o
f the
ve
rtice
s whe
n: –
refle
ctin
g a
trian
gle
in th
e X-
axis
or Y
-axi
s –
trans
latin
g a
trian
gle
with
in a
nd a
cros
s qua
dran
ts
Wee
k 3
Unit
22: T
rans
form
atio
n ge
omet
ry21
9–23
614
6–15
4
Theo
rem
of
Pyth
agor
as
Dev
elop
and
use
the
Theo
rem
of P
ytha
gora
s•
Inve
stig
ate
the
rela
tions
hip
betw
een
the
leng
ths o
f the
side
s of
a rig
ht-a
ngle
d tri
angl
e to
dev
elop
the
Theo
rem
of P
ytha
gora
s•
Det
erm
ine
whe
ther
a tr
iang
le is
righ
t-an
gled
tria
ngle
or n
ot if
th
e le
ngth
s of t
he th
ree
sides
of t
he tr
iang
le is
kno
wn
• Us
e th
e Th
eore
m o
f Pyt
hago
ras t
o ca
lcul
ate
the
miss
ing
leng
th
in a
righ
t-an
gled
tria
ngle
, lea
ving
irra
tiona
l ans
wer
s in
surd
fo
rm.
Wee
k 4
Unit
15: T
he T
heor
em o
f Py
thag
oras
142–
146
95–9
6
MATHEMATICS Term 4
21GRADE 8MATHEMATICS Term 4
© Shuter & Shooter Publishers
Area
and
Pe
rimet
er o
f 2D
Sh
apes
Are
a an
d pe
rimet
er•
Use
appr
opria
te fo
rmul
ae to
cal
cula
te p
erim
eter
and
are
a of
: ci
rcle
s•
Calc
ulat
e th
e ar
eas o
f pol
ygon
s, to
at l
east
2 d
ecim
al p
lace
s, by
de
com
posin
g th
em in
to re
ctan
gles
and
/or t
riang
les
• Us
e an
d de
scrib
e th
e re
latio
nshi
p be
twee
n th
e ra
dius
, dia
met
er
and
circ
umfe
renc
e of
a c
ircle
in c
alcu
latio
ns•
Use
and
desc
ribe
the
rela
tions
hip
betw
een
the
radi
us a
nd a
rea
of a
circ
le in
cal
cula
tions
Calc
ulat
ions
and
sol
ving
pro
blem
s•
Solv
e pr
oble
ms,
with
or w
ithou
t a c
alcu
lato
r, in
volv
ing
perim
eter
and
are
a of
pol
ygon
s and
circ
les t
o at
leas
t 2 d
ecim
al
plac
es•
Use
and
desc
ribe
the
mea
ning
of t
he ir
ratio
nal n
umbe
r Pi (
π) in
ca
lcul
atio
ns in
volv
ing
circ
les
• Us
e an
d co
nver
t bet
wee
n ap
prop
riate
SI u
nits
, inc
ludi
ng:
mm
2 ↔ c
m2 ↔
m2 ↔
km
2
Wee
ks 5
–6Un
it 16
: Are
a an
d pe
rimet
er
of 2
D sh
apes
147–
152
97–1
02
Revi
sion
Revi
se T
erm
3 a
nd Te
rm 4
Wee
k 7
Revi
sion
MATHEMATICS Term 4
Grade 9 MATHEMATICS
9
22 GRADE 9 MATHEMATICS
23GRADE 9MATHEMATICS Term 1
© Shuter & Shooter Publishers
MATHEMATICS Term 1To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 9
Uni
tLB
TGRe
visio
n•
Revi
se G
rade
8 w
ork
Wee
k 1
Who
le n
umbe
rs
Prop
ertie
s of
num
bers
• D
escr
ibe
the
real
num
ber s
yste
m b
y re
cogn
ising
, defi
ning
and
di
stin
guish
ing
prop
ertie
s of:
–na
tura
l num
bers
, who
le n
umbe
rs, i
nteg
ers,
ratio
nal
num
bers
, irra
tiona
l num
bers
Calc
ulat
ions
usi
ng w
hole
num
bers
• Re
vise
: Ca
lcul
atio
ns u
sing
all f
our o
pera
tions
on
who
le n
umbe
rs,
estim
atin
g an
d us
ing
calc
ulat
ors w
here
app
ropr
iate
Mul
tiple
s an
d fa
ctor
s•
Use
prim
e fa
ctor
isatio
n of
num
bers
to fi
nd L
CM a
nd H
CF
Solv
ing
prob
lem
s•
Solv
e pr
oble
ms i
n co
ntex
ts in
volv
ing:
–Ra
tio a
nd ra
te
–D
irect
and
indi
rect
pro
porti
on
Wee
ks 2
–3Un
it 1:
Who
le n
umbe
rs1–
171–
5
Inte
gers
Calc
ulat
ions
with
inte
gers
• Re
vise
: –
addi
tion
and
subt
ract
ion
with
inte
gers
–M
ultip
licat
ion
and
divi
sion
with
inte
gers
–pe
rform
cal
cula
tions
invo
lvin
g al
l fou
r –
oper
atio
ns w
ith in
tege
rs –
perfo
rm c
alcu
latio
ns in
volv
ing
all f
our o
pera
tions
with
nu
mbe
rs th
at in
volv
e th
e sq
uare
s, cu
bes,
squa
re ro
ots a
nd
cube
root
s of i
nteg
ers
Prop
ertie
s of
inte
gers
• Re
vise
: –
Com
mut
ativ
e, a
ssoc
iativ
e an
d di
strib
utiv
e pr
oper
ties o
f ad
ditio
n an
d m
ultip
licat
ion
for i
nteg
ers
• Ad
ditiv
e an
d m
ultip
licat
ive
inve
rses
for i
nteg
ers
Wee
ks 3
–5Un
it 2:
Inte
gers
18–2
46–
8
24 Grade 9 MATHEMATICS Term 1
MATHEMATICS Term 1
Expo
nent
s
Calc
ulat
ions
usi
ng n
umbe
rs in
exp
onen
tial f
orm
• Re
vise
the
follo
win
g ge
nera
l law
s of e
xpon
ents
. –
am ×
an =
am
+ n
–am
÷ a
n = a
m –
n, i
f m>n
–(a
m)n =
am
× n
–(a
× t)
n = a
n × t n
–a0 =
1•
Exte
nd th
e ge
nera
l law
s of e
xpon
ents
to in
clud
e: –
inte
ger e
xpon
ents
–a–m
= 1 am
• Pe
rform
cal
cula
tions
invo
lvin
g al
l fou
r ope
ratio
ns u
sing
num
bers
in e
xpon
entia
l for
m
Wee
ks 6
–7Un
it 5:
Exp
onen
ts33
–39
15–1
8
Num
eric
and
Ge
omet
ric
Patte
rns
Inve
stig
ate
and
exte
nd n
umer
ic p
atte
rns
• In
vest
igat
e an
d ex
tend
num
eric
and
geo
met
ric p
atte
rns l
ooki
ng
for r
elat
ions
hips
bet
wee
n nu
mbe
rs in
clud
ing
patte
rns:
–re
pres
ente
d in
phy
sical
or d
iagr
am fo
rm, n
ot li
mite
d to
se
quen
ces i
nvol
ving
a c
onst
ant d
iffer
ence
or r
atio
, of
lear
ner’s
ow
n cr
eatio
n, re
pres
ente
d in
tabl
es, r
epre
sent
ed
alge
brai
cally
• D
escr
ibe
and
just
ify th
e ge
nera
l rul
es fo
r obs
erve
d re
latio
nshi
ps
betw
een
num
bers
in o
wn
wor
ds o
r in
alge
brai
c la
ngua
ge
Wee
k 8
Unit
6: N
umer
ic a
nd
geom
etric
pat
tern
s40
–50
19–2
2
25GRADE 9MATHEMATICS Term 2
© Shuter & Shooter Publishers
MATHEMATICS Term 2To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 9
Uni
tLB
TG
Num
eric
and
Ge
omet
ric
Patte
rns
Inve
stig
ate
and
exte
nd g
eom
etric
pat
tern
s•
Inve
stig
ate
and
exte
nd n
umer
ic a
nd g
eom
etric
pat
tern
s loo
king
fo
r rel
atio
nshi
ps b
etw
een
num
bers
incl
udin
g pa
ttern
s: –
repr
esen
ted
in p
hysic
al o
r dia
gram
form
, not
lim
ited
to
sequ
ence
s inv
olvi
ng a
con
stan
t diff
eren
ce o
r rat
io, o
f le
arne
r’s o
wn
crea
tion,
repr
esen
ted
in ta
bles
, rep
rese
nted
al
gebr
aica
lly•
Des
crib
e an
d ju
stify
the
gene
ral r
ules
for o
bser
ved
rela
tions
hips
be
twee
n nu
mbe
rs in
ow
n w
ords
or i
n al
gebr
aic
lang
uage
Wee
ks 1
–2Un
it 6:
Num
eric
and
ge
omet
ric p
atte
rns
40–5
019
–22
26 Grade 9 MATHEMATICS Term 2
MATHEMATICS Term 2
Alge
brai
c Ex
pres
sions
Alg
ebra
ic la
ngua
ge
• Re
vise
the
follo
win
g: –
Reco
gnize
and
iden
tify
conv
entio
ns fo
r writ
ing
alge
brai
c ex
pres
sions
–Id
entif
y an
d cl
assif
y lik
e an
d un
like
term
s in
alge
brai
c ex
pres
sions
–Re
cogn
ize a
nd id
entif
y co
effici
ents
and
exp
onen
ts in
al
gebr
aic
expr
essio
ns –
Reco
gnize
and
diff
eren
tiate
bet
wee
n m
onom
ials,
bin
omia
ls an
d tri
nom
ials
Expa
nd a
nd s
impl
ify a
lgeb
raic
exp
ress
ions
• Re
vise
the
follo
win
g: u
sing
the
com
mut
ativ
e, a
ssoc
iativ
e an
d di
strib
utiv
e la
ws f
or ra
tiona
l num
bers
and
law
s of e
xpon
ents
to:
–ad
d an
d su
btra
ct li
ke te
rms i
n al
gebr
aic
expr
essio
ns.
–m
ultip
ly in
tege
rs a
nd m
onom
ials
by: m
onom
ials,
bin
omia
ls,
trino
mia
ls –
divi
de th
e fo
llow
ing
by in
tege
rs o
r mon
omia
ls: m
onom
ials,
bi
nom
ials,
trin
omia
ls –
simpl
ify a
lgeb
raic
exp
ress
ions
invo
lvin
g th
e ab
ove
oper
atio
ns –
dete
rmin
e th
e sq
uare
s, cu
bes,
squa
re ro
ots a
nd c
ube
root
s of
sing
le a
lgeb
raic
term
s or l
ike
alge
brai
c te
rms
• Ex
tend
the
abov
e al
gebr
aic
man
ipul
atio
ns to
incl
ude:
–m
ultip
ly in
tege
rs a
nd m
onom
ials
by p
olyn
omia
ls,
–di
vide
pol
ynom
ials
by in
tege
rs o
r mon
omia
ls, –
the
prod
uct o
f tw
o bi
nom
ials,
the
squa
re o
f a b
inom
ial
Fact
oriz
e al
gebr
aic
expr
essi
ons
• Fa
ctor
ize a
lgeb
raic
exp
ress
ions
that
invo
lve:
–co
mm
on fa
ctor
s –
-diff
eren
ce o
f tw
o sq
uare
s –
trino
mia
ls of
the
form
: 9
x 2 + b
x +
c 9
ax 2 +
bx
+ c,
whe
re a
is a
com
mon
fact
or.
• Si
mpl
ify a
lgeb
raic
exp
ress
ions
that
invo
lve
the
abov
e fa
ctor
isatio
n pr
oces
ses.
• Si
mpl
ify a
lgeb
raic
frac
tions
usin
g fa
ctor
isatio
n
Wee
ks 2
–6Un
it 8:
Alg
ebra
ic
expr
essio
ns61
–68
29–3
5
27GRADE 9MATHEMATICS Term 2
© Shuter & Shooter Publishers
MATHEMATICS Term 2
Alge
brai
c Eq
uatio
ns
Revi
se th
e fo
llow
ing:
–se
t up
equa
tions
to d
escr
ibe
prob
lem
situ
atio
ns –
anal
yse
and
inte
rpre
t equ
atio
ns th
at d
escr
ibe
a gi
ven
situa
tion
–So
lve
equa
tions
by
insp
ectio
n –
usin
g ad
ditiv
e an
d m
ultip
licat
ive
inve
rses
–us
ing
law
s of e
xpon
ents
–So
lve
equa
tions
by
subs
titut
ion
–Us
e su
bstit
utio
n in
equ
atio
ns to
gen
erat
e ta
bles
of o
rder
ed
pairs
• Ex
tend
solv
ing
equa
tions
to in
clud
e: –
usin
g fa
ctor
isatio
n•
equa
tions
of t
he fo
rm: a
pro
duct
of f
acto
rs =
0
Wee
ks 7
–9Un
it 9:
Alg
ebra
ic e
quat
ions
69–7
536
–43
Revi
sion
• Re
vise
Ter
m 1
and
2 c
onte
ntW
eek
10
28 Grade 9 MATHEMATICS Term 3
MATHEMATICS Term 3To
pic
Cont
ent
Tim
e al
loca
tion
Whe
re to
find
it in
Pre
mie
r Mat
hem
atics
Gra
de 9
Uni
tLB
TG
Func
tions
and
Re
latio
nshi
ps
Inpu
t and
out
put v
alue
s•
Det
erm
ine
inpu
t val
ues,
outp
ut v
alue
s or r
ules
for p
atte
rns a
nd
rela
tions
hips
usin
g: –
flow
dia
gram
s –
tabl
es –
form
ulae
–eq
uatio
ns
Equi
vale
nt fo
rms
• D
eter
min
e, in
terp
ret a
nd ju
stify
equ
ival
ence
of d
iffer
ent
desc
riptio
ns o
f the
sam
e re
latio
nshi
p or
rule
pre
sent
ed:
–ve
rbal
ly –
in fl
ow d
iagr
ams
–in
tabl
es –
by fo
rmul
ae –
by e
quat
ions
• by
gra
phs o
n a
Carte
sian
plan
e
Wee
ks 1
–2Un
it 7:
Fun
ctio
ns a
nd
rela
tions
hips
51–5
723
–26
Grap
hs
Inte
rpre
ting
grap
hs•
Exte
nd th
e fo
cus o
n fe
atur
es o
f gra
phs w
ith sp
ecia
l foc
us o
n th
e fo
llow
ing
feat
ures
of l
inea
r gra
phs:
–x-
inte
rcep
t and
y-in
terc
ept
–Gr
adie
nt
Dra
win
g gr
aphs
• Us
e ta
bles
of o
rder
ed p
airs
to p
lot p
oint
s and
dra
w g
raph
s on
the
Carte
sian
plan
e•
Exte
nd d
raw
ing
of g
raph
s with
spec
ial f
ocus
on:
–dr
awin
g lin
ear g
raph
s fro
m g
iven
equ
atio
ns•
dete
rmin
ing
equa
tions
from
giv
en li
near
gra
phs
Wee
ks 2
–4Un
it 18
: Gra
phs
155–
168
113–
122
Tran
sfor
mat
ion
Geom
etry
Tran
sfor
mat
ions
• Re
cogn
ize, d
escr
ibe
and
perfo
rm tr
ansf
orm
atio
ns w
ith p
oint
s, lin
e se
gmen
ts a
nd si
mpl
e ge
omet
ric fi
gure
s on
a co
-ord
inat
e pl
ane,
focu
sing
on:
–re
flect
ion
in th
e X-
axis
or Y
- axi
s –
trans
latio
n w
ithin
and
acr
oss q
uadr
ants
Wee
ks 4
–5Un
it 20
: Tra
nsfo
rmat
ion
geom
etry
187–
201
141–
145
29GRADE 9MATHEMATICS Term 3
© Shuter & Shooter Publishers
MATHEMATICS Term 3
Geom
etry
of
Stra
ight
Lin
es
Ang
le re
latio
nshi
ps•
Revi
se a
nd w
rite
clea
r des
crip
tions
of t
he re
latio
nshi
p be
twee
n an
gles
form
ed b
y: –
perp
endi
cula
r lin
es –
inte
rsec
ting
lines
–pa
ralle
l lin
es c
ut b
y a
trans
vers
al
Solv
ing
prob
lem
s•
Solv
e ge
omet
ric p
robl
ems u
sing
the
rela
tions
hips
bet
wee
n pa
irs o
f ang
les d
escr
ibed
abo
ve
Wee
ks 6
–7Un
it 12
: Geo
met
ry o
f st
raig
ht li
nes
102–
109
60–6
3
Geom
etry
of
2D S
hape
s and
Co
nstru
ctio
n of
Geo
met
ric
Figu
res
Clas
sify
ing
2D s
hape
s •
Revi
se p
rope
rties
and
defi
nitio
ns o
f tria
ngle
s in
term
s of t
heir
sides
and
ang
les,
dist
ingu
ishin
g be
twee
n:
–eq
uila
tera
l tria
ngle
s –
isosc
eles
tria
ngle
s –
right
-ang
led
trian
gles
Cons
truc
tions
• In
vest
igat
e th
e an
gles
in a
tria
ngle
, foc
usin
g on
the
rela
tions
hip
betw
een
the
exte
rior a
ngle
of a
tria
ngle
and
its i
nter
ior a
ngle
s
Clas
sify
ing
2D s
hape
s •
Revi
se a
nd w
rite
clea
r defi
nitio
ns o
f qua
drila
tera
ls in
term
s of
thei
r sid
es, a
ngle
s and
dia
gona
ls, d
istin
guish
ing
betw
een:
–pa
ralle
logr
am –
rect
angl
e –
squa
re –
rhom
bus
–tra
peziu
m –
kite
Cons
truc
tions
• in
vest
igat
e sid
es a
nd a
ngle
s. an
d di
agon
als i
n qu
adril
ater
als,
focu
sing
on:
–ex
plor
ing
the
sum
of t
he in
terio
r ang
les o
f pol
ygon
s –
the
diag
onal
s of r
ecta
ngle
s, sq
uare
s, –
para
llelo
gram
s, rh
ombi
and
kite
s
Wee
ks 8
–9Un
it 10
: Con
stru
ctio
n of
ge
omet
ric fi
gure
s79
–90
48–5
3
Revi
sion
• Re
vise
Ter
m 3
con
tent
Wee
k 10
30 Grade 9 MATHEMATICS Term 4
Topi
cCo
nten
tTi
me
allo
catio
nW
here
to fi
nd it
in P
rem
ier M
athe
mat
ics G
rade
9
Uni
tLB
TG
Geom
etry
of
2D S
hape
s and
Co
nstru
ctio
ns
Sim
ilar a
nd c
ongr
uent
tria
ngle
s•
Thro
ugh
inve
stig
atio
n, e
stab
lish
the
min
imum
con
ditio
ns fo
r co
ngru
ent t
riang
les
• Th
roug
h in
vest
igat
ion,
est
ablis
h th
e m
inim
um c
ondi
tions
for
simila
r tria
ngle
s
Cons
truc
tions
• Ex
plor
e th
e m
inim
um c
ondi
tions
for t
wo
trian
gles
to b
e co
ngru
ent
Solv
ing
prob
lem
s•
Solv
e ge
omet
ric p
robl
ems i
nvol
ving
unk
now
n sid
es a
nd a
ngle
s in
tria
ngle
s and
qua
drila
tera
ls, u
sing
know
n pr
oper
ties o
f tri
angl
es a
nd q
uadr
ilate
rals,
as w
ell a
s pro
perti
es o
f con
grue
nt
and
simila
r tria
ngle
s
Wee
ks 1
–2Un
it 10
: Con
stru
ctio
n of
ge
omet
ric fi
gure
s79
–90
48–5
3
Theo
rem
of
Pyth
agor
as
• Us
e th
e Th
eore
m o
f Pyt
hago
ras t
o so
lve
prob
lem
s inv
olvi
ng
unkn
own
leng
ths i
n ge
omet
ric fi
gure
s tha
t con
tain
righ
t-an
gled
tri
angl
esW
eeks
2–3
Unit
13: T
he T
heor
em o
f Py
thag
oras
110–
119
64–6
9
Area
and
Pe
rimet
er o
f 2D
Sh
apes
• Us
e ap
prop
riate
form
ulae
and
con
vers
ions
bet
wee
n SI
uni
ts, t
o so
lve
prob
lem
s and
cal
cula
te p
erim
eter
and
are
a of
: –
poly
gons
–ci
rcle
s
Wee
ks 3
–5Un
it 14
: Are
a an
d pe
rimet
er
of 2
D sh
apes
120–
127
76–8
0
Surfa
ce A
rea
and
Volu
me
of
3D O
bjec
ts
• Us
e ap
prop
riate
form
ulae
and
con
vers
ions
bet
wee
n SI
uni
ts to
so
lve
prob
lem
s and
cal
cula
te th
e su
rface
are
a, v
olum
e an
d ca
paci
ty o
f: –
rect
angu
lar p
rism
s –
trian
gula
r pris
ms
–cy
linde
rs c
ylin
ders
Wee
k 5–
7Un
it 19
: Sur
face
are
a an
d vo
lum
e16
9–18
012
3–12
7
Revi
sion
• Re
vise
Ter
m 3
and
4 c
onte
ntW
eek
7
MATHEMATICS Term 4
31PROGRAMME OF ASSESSMENT
PROGRAMME OF ASSESSMENT
Grade 7Term Assessment task Page references
1
Assignment (Week 6)• Whole numbers• Exponents
LB page 43TG page 19
Test (Week 10) TG page 48
2
Investigation (Week 5)• Decimal fractions• Integers
LB page 73TG page 42
Test (Week 11) TG page 483 Test (Week 11) TG page 754 Test (Week 9 or Week 10) TG page 124
Grade 8Term Assessment task Page references
1
Assignment (Week 6)• Whole numbers• Integers
LB page 62TG page 41
Test (Week 9 or 10) TG page 44
2
Investigation (Week 7)• Exponents• Patterns
LB page 114
Test (Week 10 or 11) TG page 463 Test (Week 11) TG page 1214 Test (Week 8, 9 or 10) TG page 170
Grade 9Term Assessment task Page references
1
Assignment (Week 5)• Whole numbers• Integers
LB page 58TG page 27
Test (Week 9 or 10) TG page 46
2
Investigation (Week 6)• Numeric and geometric patterns• Algebraic expressions
LB page 128TG page 81
Test (Week 11) TG page 703 Test (Week 11) TG page 1374 Test (Week 8, 9 or 10) TG page 166
32 MATHEMATICS TERM 4
33MATHEMATICS TERM 4
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