multigrade toolkit · 2019-08-16 · should be dedicated for mathematics in the multigrade class...
TRANSCRIPT
-
a MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
MULTIGRADE TOOLKIT
MATHEMATICSFOUNDATION PHASE
FOR
-
1 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
M
ULTI
GRAD
E TO
OLKI
T M
ATHE
MAT
ICS
FOUN
DATI
ON P
HASE
-
2 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
FOUN
DATI
ON P
HASE
MAT
HEMA
TICS
MUL
TI-G
RADE
TOO
LKIT
Intro
duct
ion
to th
e Mul
ti-gr
ade T
oolki
t Th
e Mult
i-Gra
de T
oolki
t for F
ound
ation
Pha
se co
mpris
es tw
o main
comp
onen
ts na
mely
the M
ulti-g
rade
Ann
ual T
each
ing P
lan (M
ATP)
and e
xemp
lar le
sson
plan
s for
each
of
the su
bjects
offer
ed in
Gra
des 1
-3. T
he co
ntent
set o
ut in
CAPS
for e
ach s
ubjec
t nam
ely H
ome
Lang
uage
s, Ma
thema
tics,
First
Addit
ional
Lang
uage
and L
ife S
kills
have
be
en re
orga
nized
in a
syste
matic
way
acro
ss th
e gra
des s
tartin
g in g
rade
1 an
d pro
gres
sing t
o Gra
de 3
in the
MAT
P.
Th
e MA
TP is
a cu
rricu
lum p
lannin
g re
sour
ce to
ol an
d is
set o
ut in
a for
mat w
hich
demo
nstra
tes th
e pa
cing
and
sequ
encin
g of
the cu
rricu
lum h
orizo
ntally
acro
ss G
rade
s 1
to 3
and
vertic
ally
acro
ss T
erms
1 to
4 fo
r eac
h su
bject
offer
ed in
the
Foun
datio
n Ph
ase.
The
MATP
is a
imed
at m
aking
the
CAPS
mor
e ac
cess
ible
to the
mult
i-gra
de
teach
er w
ho te
ache
s a M
ulti-G
rade
clas
s of G
rade
s 1, 2
and
3 o
r Gra
des 1
and
2 o
r Gra
des 2
and
3. I
n thi
s way
it is
envis
aged
that
the m
ulti-g
rade
teac
her w
ill be
come
mo
re fa
milia
r with
the c
onten
t that
need
s to b
e cov
ered
per g
rade
in ea
ch te
rm.
The p
urpo
se o
f the
MAT
P an
d th
e exe
mpl
ar le
sson
plan
s Th
e MA
TP is
aim
ed a
t ena
bling
the t
each
er to
teac
h com
mon
topics
/conc
epts/
skills
/conte
nt to
the w
hole
class
(com
binati
on o
f gra
des)
wher
e it is
conc
eptua
lly ap
prop
riate
for ea
ch gr
ade.
MATP
enab
les th
e Mult
i -Gra
de te
ache
r to c
over
the c
urric
ulum
for ea
ch te
rm by
enco
urag
ing he
r/him
to te
ach c
ommo
n con
tent a
cross
the g
rade
s whe
re it
is co
ncep
tually
and
gra
de a
ppro
priat
e. He
nce
the M
ATP
is en
cour
aging
mult
i-gra
de te
ache
rs to
do w
hole
class
teac
hing
and
asse
ssme
nt as
well
as f
ocus
ed g
rade
gro
up
teach
ing a
nd a
sses
smen
t too
. For
exa
mple
to ov
erco
me th
e ch
allen
ge o
f tim
e ma
nage
ment
in Mu
lti-Gr
ade
grad
e cla
sses
teac
hers
are
enco
urag
ed to
teac
h the
thes
e co
mpon
ents
Visu
al Ar
ts, P
erfor
ming
Arts
(Dan
ce, M
usic,
Dra
ma, P
hysic
al Ed
ucati
on as
who
le cla
ss le
sson
s but
differ
entia
te the
activ
ities t
o suit
each
grad
e.
Ex
empl
ar L
esso
n pl
ans
The
lesso
n pla
ns h
ave
been
dev
elope
d to
enha
nce
quali
ty lea
rning
and
teac
hing
as w
ell a
s to
stren
gthen
curri
culum
cove
rage
in M
ulti -
Grad
e cla
sses
. The
less
on p
lans
are
align
ed to
the M
ATP
for ea
ch su
bject.
The
less
on pl
ans h
ave b
een w
ritten
in a
form
at tha
t spe
aks t
o mult
i-gra
de te
achin
g in G
rade
s 1 to
3. T
he ex
empla
r less
on p
lans
for e
ach
subje
ct ha
ve b
een
pack
aged
in w
eeks
. The
less
on p
lans
media
te the
con
tent t
o be
taug
ht as
set o
ut in
the M
ATP.
The
less
on p
lans
unpa
ck th
e co
ntent
to be
tau
ght a
nd as
sess
ed in
the g
rade
for t
he w
eek.
This
has b
een d
one b
y pro
viding
grad
e app
ropr
iate a
ctivit
ies.
Teac
hing i
deas
, tim
e allo
catio
n br
eak d
owns
, res
ource
s and
note
s to t
he te
ache
r and
acti
vities
in th
e DBE
Wor
kboo
k are
listed
. Les
son p
lans a
lso st
ate th
at tea
cher
mad
e re
sour
ces s
hould
also
be us
ed na
mely
flash
card
s, nu
mber
card
s, ow
n Big
Book
s, po
sters,
mas
ks, p
uppe
ts etc
. usin
g rec
ycled
mate
rials.
-
3 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
Exem
plar
Mat
hem
atics
Wee
kly le
sson
plan
Ma
thema
tics l
esso
n plan
cove
rs the
follo
wing
comp
onen
ts ma
inly f
or N
umbe
rs O
pera
tions
and
Relat
ions
hips
:
Menta
l Math
emati
cs
Nu
mber
sens
e
Numb
er co
ncep
ts
Numb
er op
erati
ons
W
ord p
roble
ms
The w
eekly
less
on pl
ans a
lso in
clude
at le
ast o
ne le
sson
per w
eek o
n the
othe
r top
ics na
mely:
Patte
rns
Sp
ace a
nd S
hape
Meas
urem
ent
Da
ta Ha
ndlin
g Nu
mbe
r of l
esso
n pl
an ex
empl
ars:
19 w
eekly
less
on pl
an ex
empla
rs ha
ve be
en de
velop
ed
(10 w
eeks
in T
erms
1, 3
week
s in T
erm
2, 3 a
nd 4)
. Te
achi
ng Id
eas
All g
rade
s sho
uld be
exp
osed
to o
ral, p
racti
cal a
nd w
ritten
activ
ities.
At le
ast 3
wor
d pro
blems
shou
ld be
don
e we
ekly
by e
ach g
rade
. The
DBE
Wor
kboo
k acti
vities
shou
ld be
used
to re
infor
ce an
d con
solid
ate sk
ills an
d con
cepts
in th
e Math
emat
ics le
sson
s.
Tim
etab
ling:
At le
ast 1
, 5 h
ours
per
day
shou
ld be
ded
icated
for M
athem
atics
in th
e mu
ltigra
de cl
ass a
nd so
that
ever
y gra
de ca
n ha
ve a
Math
emati
cs p
eriod
of a
t leas
t 30
minu
tes da
ily so
that
at lea
st tw
o Math
emati
cs co
mpon
ents
can b
e tau
ght t
o eac
h gra
de da
ily.
Exem
plar
Life
Skil
ls W
eekly
less
on p
lan
The w
eekly
less
on pl
an in
clude
s the
follo
wing
stud
y are
as:
Be
ginnin
g kno
wled
ge an
d Per
sona
l and
Soc
ial W
ellbe
ing
Cr
eativ
e Arts
are m
ade u
p of P
erfor
ming
Arts
(dan
ce, M
usic
and D
rama
) and
Visu
al Ar
ts
Phys
ical E
duca
tion
Num
ber o
f les
son
plan
exem
plar
s: 2
4 we
ekly
lesso
n pla
n ex
empla
rs ha
ve b
een
deve
loped
(6 w
eeks
per
term
) The
se b
i-wee
kly le
sson
plan
s can
also
be
used
ove
r a 3
we
ek cy
cle to
ensu
re th
at all
the a
ctivit
ies ar
e cov
ered
acco
rding
ly.
Teac
hing
Idea
s
-
4 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
The
topics
for B
eginn
ing K
nowl
edge
and
Per
sona
l and
Soc
ial W
ellbe
ing h
ave
been
listed
for e
ach
grad
e an
d gr
oupe
d in
such
a w
ay th
at co
mmon
conte
nt ac
ross
topic
s ca
n be
taug
ht to
all g
rade
s in
a wh
ole cl
ass l
esso
n. Te
ache
rs ar
e als
o en
cour
aged
to te
ach
the C
reati
ve A
rts a
nd P
hysic
al Ed
ucati
on a
s who
le cla
ss le
sson
s. At
leas
t one
Lif
e Sk
ills st
udy
area
shou
ld be
don
e pe
r day
. Beg
inning
Kno
wled
ge to
pics
shou
ld be
use
d to
prov
ide co
ntexts
to te
ach
the la
ngua
ge co
mpon
ents
name
ly lis
tening
and
sp
eakin
g and
read
ing an
d writi
ng sk
ills.
Dram
a sh
ould
be d
one
as a
n int
egra
ted la
ngua
ge a
ctivit
y (ro
le-pla
y, mi
ming
, dra
matiz
ation
, dial
ogue
s etc
). Mu
sic, D
ance
and
Phy
sical
Educ
ation
can
be
done
as
an
integ
rated
less
on w
ith al
l gra
des.
The D
BE W
orkb
ook s
hould
be us
ed in
Life
Skills
less
ons.
Tim
etab
ling:
At le
ast 1
hou
r per
day
shou
ld be
dedic
ated t
o Life
Skil
ls pe
r day
. At le
ast o
ne P
hysic
al Ed
ucati
on (o
utdoo
r less
on) a
nd a
Visu
al Ar
ts les
son
shou
ld be
done
pe
r wee
k in t
he M
ulti-G
rade
clas
s. Ad
aptin
g th
e exe
mpl
ar le
sson
plan
for t
he M
ulti-
Grad
e clas
s Te
ache
rs ar
e en
cour
aged
to u
se th
ese
week
ly les
son
plans
to p
lan th
eir d
aily
class
room
less
on p
lan a
ctivit
ies fo
r eac
h su
bject
per d
ay fr
om M
onda
y to
Frida
y. Th
ese
lesso
n pla
ns a
re g
ener
ic an
d the
teac
her i
s exp
ected
to p
rovid
e the
acti
vities
that
will b
e do
ne a
cross
all g
rade
s in
whole
clas
s ses
sions
and
the
focus
ed g
rade
acti
vities
. Sp
ecific
deta
ils s
uch
as th
e titl
e of
Big
Book
, stor
ies in
the
Grad
ed R
eade
r and
pag
e re
feren
ces
in the
DBE
Wor
kboo
k etc
. sho
uld b
e ind
icated
. The
less
on p
lan sh
ould
indica
te gr
ade
spec
ific a
ctivit
ies a
nd w
hole
class
acti
vities
. In
addit
ion o
ral,
writte
n, ind
epen
dent
and
asse
ssme
nt ac
tivitie
s for
eac
h gr
ade
shou
ld be
exp
licit
in the
dail
y les
son p
lan as
well
as th
e res
ource
s to b
e use
d to m
ediat
e the
activ
ity na
mely
the D
BE W
orkb
ook,
Read
ers,
reali
a etc.
The
lesso
n pla
n sh
ould
refle
ct the
Lan
guag
e of
Lear
ning
and
Teac
hing
(LOL
T), w
here
isiX
hosa
is o
ffere
d as
LOL
T, th
e ph
onics
, spe
lling
word
s sig
ht wo
rds
, wor
d pr
oblem
s etc.
shou
ld be
conte
xtuali
sed f
or is
iXho
sa. H
ence
teac
hers
are e
ncou
rage
d to w
rite th
eir da
ily le
sson
plan
s to r
eflec
t the L
OLT
of the
scho
ol.
TABL
E 1 A
sugg
este
d da
ily le
sson
plan
tem
plat
e DA
ILY
LESS
ON P
LANN
ER
SUBJ
ECT
HOME
LAN
GUAG
ES (
List
enin
g an
d sp
eakin
g, P
honi
cs, R
eadi
ng, H
andw
ritin
g, W
ritin
g, A
sses
smen
t, re
sour
ces)
GR
ADE
MOND
AY
TUES
DAY
WED
NESD
AY
THUR
SDAY
FR
IDAY
1
2
3
SU
BJEC
T: F
IRST
ADD
ITIO
NAL
LANG
UAGE
(( Li
sten
ing
and
spea
king,
Pho
nics
, Rea
ding,
Writ
ing,
Ass
essm
ent,
reso
urce
s)
GRAD
E MO
NDAY
TU
ESDA
Y W
EDNE
SDAY
TH
URSD
AY
FRID
AY
1
2
3
-
5 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
SUBJ
ECT
: MAT
HEMA
TICS
(Men
tal M
athe
mat
ics, N
umbe
r sen
se d
evelo
pmen
t, nu
mbe
r con
cept
s, wo
rd p
robl
ems,
Patte
rns,
Shap
e an
d Sp
ace,
Meas
urem
ent,
Data
Han
dlin
g, A
sses
smen
t) GR
ADE
MOND
AY
TUES
DAY
WED
NESD
AY
THUR
SDAY
FR
IDAY
1
2
3
SU
BJEC
T LI
FE S
KILL
S (B
egin
ning
know
ledge
and
Pers
onal
and
Socia
l Bein
g, C
reat
ive A
rts, P
hysic
al Ed
ucat
ion)
GR
ADE
MOND
AY
TUES
DAY
WED
NESD
AY
THUR
SDAY
FR
IDAY
1
2
3
Sc
hool
Bas
ed A
sses
smen
t (SB
A) re
quire
men
ts fo
r Fou
ndat
ion
Phas
e Na
tiona
l Poli
cy pe
rtaini
ng to
the p
rogr
amme
and p
romo
tion a
nd pr
ogre
ssion
requ
ireme
nts G
rade
s R to
12 (2
012)
stipu
lates
that
asse
ssme
nt in
Foun
datio
n Pha
se (G
rade
s R-
3) is
100 %
Con
tinuo
us A
sses
smen
t (CA
SS) m
eanin
g tha
t both
form
ative
asse
ssme
nts (a
sses
smen
t for le
arnin
g) an
d sum
mativ
e ass
essm
ents
(ass
essm
ent o
f lear
ning)
wi
ll be u
sed t
o ass
ess,
evalu
ate an
d rep
ort o
n the
lear
ner’s
perfo
rman
ce an
d pro
gres
s on a
quar
terly
basis
on a
7 rati
ng po
int sc
ale.
The C
urric
ulum
and A
sses
smen
t Poli
cy S
tatem
ent (
CAPS
) map
s the
numb
er of
form
al as
sess
ment
tasks
per t
erm
for ea
ch su
bject.
Tea
cher
s are
enco
urag
ed to
inclu
de at
lea
st tw
o ass
essm
ent a
ctivit
ies in
each
form
al as
sess
ment
task.
The T
able
2 belo
w ind
icates
the n
umbe
r of fo
rmal
asse
ssme
nt tas
ks pe
r sub
ject p
er te
rm. E
xemp
lar
Prog
ramm
e of a
sses
smen
t (Ta
bles 3
and 4
) pro
vides
an ov
ervie
w of
the co
ntent
(conc
epts,
skills
) tha
t sho
uld be
asse
ssed
, the
form
and t
ype o
f ass
essm
ent a
nd
asse
ssme
nt too
ls to
be us
ed fo
r eac
h ass
essm
ent ta
sk.
Tabl
e 2: F
OUND
ATIO
N PH
ASE
SCHO
OL B
ASED
ASS
ESSM
ENT
HOME
LAN
GUAG
E GR
ADE
1
TE
RM 1
TERM
2 TE
RM 3
TERM
4 TO
TAL
GRAD
E 1
1 1
1 1
4
GRAD
E 2
1 1
1 1
4
GRAD
E 3
1 1
1 1
4
FI
RST
ADDI
TION
AL L
ANGU
AGE
GRAD
E
TE
RM 1
TERM
2 TE
RM 3
TERM
4 TO
TAL
-
6 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
GRAD
E 1
1 1
1 1
4
GRAD
E 2
1 1
1 1
4
GRAD
E 3
1 1
1 1
4
MATH
EMAT
ICS
TE
RM 1
TERM
2 TE
RM 3
TERM
4 TO
TAL
GRAD
E 1
1 1
1 1
4
GRAD
E 2
1 1
1 1
4
GRAD
E 3
1 1
1 1
4
L
IFE
SKIL
LS
TE
RM 1
TERM
2 TE
RM 3
TERM
4 TO
TAL
GRAD
E 1
1 1
1 1
4
GRAD
E 2
1 1
1 1
4
GRAD
E 3
1 1
1 1
4
-
7 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
MULT
I-GRA
DE A
NNUA
L TE
ACHI
NG P
LAN:
FOU
NDAT
ION
PHAS
E GR
ADES
1 TO
3 TE
RM 1
N
UMBE
RS, O
PERA
TION
S AN
D RE
LATI
ONSH
IPS
TO
PIC
GRAD
E 1
GRAD
E 2
GRAD
E 3
-
8 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
1.1
Coun
t ob
jects
Coun
t out
conc
rete
obj
ects
to 10
Give
a re
ason
able
estim
ate of
a nu
mber
of
objec
ts tha
t can
be ch
ecke
d by c
ounti
ng.
Coun
t to
at le
ast 1
00 ev
eryd
ay o
bjec
ts
relia
bly
Gi
ve a
reas
onab
le es
timate
of a
numb
er of
ob
jects
that c
an be
chec
ked b
y cou
nting
.
Stra
tegy o
f gro
uping
is en
cour
aged
.
Grou
p to
at le
ast 2
00 o
bjec
ts to
es
timat
e and
coun
t reli
ably.
Give
a re
ason
able
estim
ate of
a nu
mber
of ob
jects
that c
an be
ch
ecke
d by c
ounti
ng.
Th
e stra
tegy o
f gro
uping
is
enco
urag
ed.
1.2
Coun
t fo
rwar
ds
and
back
ward
s
Coun
t for
ward
s and
bac
kwar
ds in
:
Ones
from
any n
umbe
r betw
een 1
and 2
0.
Coun
t for
ward
s and
bac
kwar
ds in
:
1s fr
om an
y num
ber b
etwee
n 0 an
d 100
10s f
rom
any m
ultipl
e of 1
0 betw
een 0
and
100
5s
from
any m
ultipl
e of 5
betw
een 0
and1
00
2s
from
any m
ultipl
e of 2
betw
een 0
and1
00.
Coun
t for
ward
s and
bac
kwar
ds in
:
1s, f
rom
any
numb
er
betw
een
0 an
d 200
10s
from
any
multip
le of
10
betw
een 0
and
200
5s
from
any
mult
iple
of 5
betw
een
0 and
200
2s fr
om a
ny m
ultipl
e of
2 b
etwee
n 0 a
nd 20
0
3s fr
om a
ny m
ultipl
e of
3 b
etwee
n 0 a
nd 20
0
4s fr
om an
y mult
iple o
f 4 b
etwee
n 0 a
nd 20
0
100s
to at
leas
t 500
.
-
9 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
NUMB
ER C
ONCE
PT D
EVEL
OPME
NT: R
epre
sent
who
le nu
mbe
rs
1.3
Num
ber
sym
bols
and
num
ber
nam
es
Reco
gnise
, ide
ntify
and
read
num
bers
•
Rec
ognis
e, ide
ntify
and r
ead n
umbe
r sy
mbols
1to 2
0. •
Write
numb
er sy
mbols
1 to
5. •
Rec
ognis
e, ide
ntify
and r
ead n
umbe
r na
mes 1
to 5.
•
Write
numb
er na
mes 1
to 5.
Iden
tify,
reco
gnise
and
read
num
bers
•
Ide
ntify,
reco
gnise
and r
ead n
umbe
r sy
mbols
0 to
100.
• W
rite nu
mber
symb
ols 0
to100
. • I
denti
fy, re
cogn
ise an
d rea
d num
ber n
ames
0 to
25.
• Write
numb
er na
mes 0
to 25
.
Iden
tify,
reco
gnise
and
read
num
bers
•
Identi
fy, re
cogn
ise an
d rea
d num
ber
symb
ols 0
to 50
0. •
Write
numb
er sy
mbols
0 to
500.
• Ide
ntify,
reco
gnise
and r
ead n
umbe
r nam
es
0 to 2
50.
• W
rite nu
mber
name
s 0 to
100.
1.4
Desc
ribe,
com
pare
an
d or
der
num
bers
Desc
ribe,
com
pare
and
orde
r up
to 5
objec
ts
Co
mpar
e coll
ectio
n of o
bjects
acco
rding
to
many
, few;
mos
t, lea
st; m
ore t
han,
less t
han;
the sa
me as
, just
as m
any a
s, dif
feren
t.
Orde
r coll
ectio
n of o
bjects
from
mos
t to
least
and l
east
to mo
st.
Desc
ribe,
com
pare
and
orde
r num
bers
to
5
Desc
ribe a
nd co
mpar
e who
le nu
mber
s ac
cord
ing to
small
er th
an, g
reate
r tha
n, mo
re th
an, “
less t
han,
is eq
ual to
.
Desc
ribe a
nd or
der
numb
ers:
- from
small
est to
grea
test a
nd gr
eates
t to
small
est
- usin
g the
numb
er lin
e 1 -
5.
Desc
ribe,
com
pare
and
orde
r num
bers
to 25
Comp
are w
hole
numb
ers u
sing s
malle
r tha
n, gr
eater
than
mor
e tha
n, les
s tha
n and
is
equa
l to.
Or
der w
hole
numb
ers f
rom
small
est to
gr
eates
t, and
grea
test to
small
est.
Desc
ribe,
com
pare
and
orde
r num
bers
to
99
Co
mpar
e who
le nu
mber
s up t
o 99 u
sing
small
er th
an, g
reate
r tha
n, mo
re th
an,
less t
han a
nd is
equa
l to.
Or
der w
hole
numb
ers u
p to 9
9 fro
m sm
alles
t to gr
eates
t, and
grea
test to
sm
alles
t.
-
10 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
1.5
Plac
e Valu
e Co
nsol
idat
ion
of n
umbe
rs 1-
5 Re
cogn
ise p
lace v
alue o
f num
bers
11 to
25
•
Deco
mpos
e two
-digi
t num
bers
into m
ultipl
es
of ten
s and
units
/ones
. •
Identi
fy an
d stat
e the
value
of ea
ch di
git.
Reco
gnise
the p
lace v
alue o
f num
bers
to
99
• Kn
ow w
hat e
ach d
igit r
epre
sents
. •
Deco
mpos
e two
-digi
t num
bers
up to
99
into m
ultipl
es of
tens
and o
nes/
units
. •
Identi
fy an
d stat
e the
value
of ea
ch di
git.
1.6
Prob
lem so
lving
te
chni
ques
Use t
he fo
llowi
ng te
chniq
ues w
hen s
olving
pr
oblem
s and
expla
in ow
n solu
tions
to
prob
lems
Co
ncre
te ap
para
tus e.
g. co
unter
s
Pictu
res t
o dra
w the
stor
y sum
.
Numb
er lin
es su
ppor
ted by
co
ncre
te ap
para
tus e.
g. co
untin
g be
ads.
Use t
he fo
llowi
ng te
chniq
ues w
hen s
olving
pr
oblem
s and
expla
in ow
n solu
tions
to pr
oblem
s
draw
ings o
r con
crete
appa
ratus
e.g.
coun
ters
Bu
ilding
up an
d bre
aking
down
of
numb
ers.
Do
ublin
g and
halvi
ng
Nu
mber
lines
supp
orted
by co
ncre
te ap
para
tus.
Use t
he fo
llowi
ng te
chniq
ues w
hen s
olving
pr
oblem
s and
expla
in ow
n solu
tions
to
prob
lems
Bu
ilding
up an
d bre
aking
down
of
numb
ers.
Do
ublin
g and
halvi
ng
Nu
mber
lines
1.7
Addi
tion
and
subt
ract
ion
Prac
ticall
y solv
e wor
d pro
blems
in co
ntext
and e
xplai
n own
solut
ion to
prob
lems
involv
ing ad
dition
and
subtr
actio
n with
an
swer
s up
to 5
Prob
lem ty
pe: C
hang
e, co
mpa
re, e
quali
se
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n own
so
lution
to pr
oblem
s inv
olving
addit
ion an
d su
btrac
tion w
ith an
swer
s up
to 20
Pr
oblem
type
: Cha
nge,
com
pare
, equ
alise
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n ow
n solu
tion t
o pro
blems
invo
lving
addit
ion
and
subtr
actio
n with
answ
ers u
p to
99
Prob
lem ty
pe: C
hang
e, co
mpa
re, e
quali
se
1.8
Repe
ated
ad
ditio
n lea
ding
to
mul
tiplic
atio
n.
So
lve w
ord p
roble
ms in
conte
xt an
d exp
lain y
our
own s
olutio
n to p
roble
ms in
volvi
ng re
peate
d ad
dition
lead
ing to
mult
iplica
tion w
ith an
swer
s up
to 20
.
Solve
numb
er pr
oblem
s in c
ontex
t and
expla
in ow
n solu
tion t
o pro
blems
invo
lving
mu
ltiplic
ation
with
answ
ers u
p to 5
0. P
robl
em ty
pe: A
rray,
Using
doub
ling
to so
lve
prob
lems
1.9
Grou
ping
and
shar
ing
leadi
ng
to d
ivisio
n
Prac
ticall
y solv
e wor
d pro
blems
in co
ntext
and e
xplai
n own
solut
ion to
prob
lems
involv
ing eq
ual s
harin
g and
grou
ping w
ith
whole
numb
ers u
p to 5
and w
ith an
swer
s tha
t may
inclu
de re
maind
ers.
Prob
lem ty
pe: g
roup
ing, s
harin
g and
arra
y
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n own
so
lution
to pr
oblem
s tha
t invo
lve eq
ual s
harin
g an
d gro
uping
up to
20 w
ith an
swer
s tha
t may
inc
lude r
emain
ders.
Pr
oblem
type
: gro
uping
, sha
ring a
nd ar
ray
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n ow
n solu
tion t
o pro
blems
that
involv
e equ
al sh
aring
and g
roup
ing up
to 50
with
answ
ers
that m
ay in
clude
rema
inder
s. Pr
oblem
type
: gro
uping
, sha
ring a
nd ar
ray
1.10 F
ract
ions
Cons
olid
ate w
ord
prob
lems i
nvol
ving
equa
l sha
ring
with
answ
ers t
hat m
ay
inclu
de re
main
ders
.
Cons
olid
ate w
ord
prob
lems i
nvol
ving
equa
l sh
arin
g wi
th an
swer
s tha
t may
inclu
de
rem
ainde
rs.
Solve
and e
xplai
n solu
tions
to pr
actic
al pr
oblem
s tha
t invo
lve eq
ual s
harin
g lea
ding t
o so
lution
s tha
t inclu
de un
itary
and n
on-u
nitar
y fra
ction
s e.g.
½ ,¼
,¾ et
c.
-
11 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
1.11
M
oney
Reco
gnise
and i
denti
fy RS
A co
ins 5c
, 10c
, 20
c, 50
c, R1
, R2,
R5, a
nd ba
nk no
tes R
10,
R20,
R50
So
lve m
oney
prob
lems
involv
ing to
tals a
nd
chan
ge in
cent
s up
to 50
c and
rand
s to
R20
Re
cogn
ise an
d ide
ntify
the S
outh
Afric
an
coins
and b
ank n
otes.
Solve
mon
ey pr
oblem
s inv
olving
total
s an
d cha
nge i
n ra
nds a
nd ce
nts.
1.12
Tech
niqu
es
(met
hods
or
stra
tegi
es)
Use t
he fo
llowi
ng te
chniq
ues w
hen
perfo
rming
calcu
lation
s:
Con
crete
appa
ratus
e.g.
coun
ters
Dr
aw pi
cture
s.
Numb
er lin
es su
ppor
ted by
co
ncre
te ap
para
tus e.
g. co
untin
g be
ads.
Use t
he fo
llowi
ng te
chniq
ues w
hen p
erfor
ming
ca
lculat
ions:
Draw
ings o
r con
crete
appa
ratus
e.g.
coun
ters
Bu
ilding
up an
d bre
aking
down
of nu
mber
s.
Doub
ling a
nd ha
lving
Numb
er lin
es su
ppor
ted by
conc
rete
appa
ratus
.
Use t
he fo
llowi
ng te
chniq
ues w
hen
perfo
rming
calcu
lation
s:
Bu
ilding
up an
d bre
aking
down
of
numb
ers.
Do
ublin
g and
halvi
ng
Nu
mber
lines
1.13
Addi
tion
and
subt
ract
ion
Num
ber r
ange
: 1-5
Add u
p to 5
Subtr
act fr
om 5.
Prac
tise n
umbe
r bon
ds to
5
Ad
d up t
o 20
Subtr
act f
rom
20
Us
e app
ropr
iate s
ymbo
ls
Pr
actis
e num
ber b
onds
to 10
Ad
d up t
o 99
Subtr
act f
rom
99
Us
e app
ropr
iate s
ymbo
ls
Pr
actis
e num
ber b
onds
to 20
1.14
Repe
ated
ad
ditio
n lea
ding
to
mul
tiplic
atio
n
Ad
d the
same
numb
er re
peate
dly to
20
Mu
ltiply
numb
ers 1
-10 b
y 2
Us
e app
ropr
iate s
ymbo
ls
Mu
ltiply
numb
ers 1
-10 b
y 2, 5
, 3,4
Us
e app
ropr
iate s
ymbo
ls
1.15
Divis
ion
Cons
olida
te wo
rd pr
oblem
s inv
olving
equa
l sh
aring
lead
ing to
divis
ion.
Cons
olida
te wo
rd pr
oblem
s inv
olving
equa
l sh
aring
lead
ing to
answ
ers w
ith re
maind
ers.
Di
vide n
umbe
rs to
50 by
2, 5,
10
Us
e app
ropr
iate s
ymbo
ls
1.16
Ment
al m
athe
mat
ics
Num
ber c
once
pt: R
ange
5
Or
der a
give
n set
of se
lected
nu
mber
s.
Co
mpar
e num
bers
up to
5 an
d say
wh
ich is
mor
e or le
ss
Num
ber c
once
pt: R
ange
25
Or
der a
give
n set
of se
lected
numb
ers
Co
mpar
e num
bers
to 25
and s
ay w
hich i
s: -
1 m
ore o
r 1
less
- 2
mor
e or
2 les
s -
10 m
ore o
r 10 l
ess
Num
ber c
once
pt: R
ange
200
Or
der a
give
n set
of se
lected
numb
ers
Co
mpar
e num
bers
to 20
0 and
say w
hich
is:
- 1 m
ore o
r 1 le
ss
- 2 m
ore o
r 2 le
ss
- 3 m
ore o
r 3 le
ss
- 4 m
ore o
r 4 le
ss
- 5 m
ore o
r 5 le
ss
- 10
mor
e or 1
0 les
s
-
12 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
Rapi
dly r
ecall
:
Reca
ll add
ition a
nd su
btrac
tion f
acts
to 10
. Ca
lculat
ion
stra
tegi
es
Use c
alcula
tion s
trateg
ies to
add a
nd su
btrac
t eff
icien
tly:
Pu
t the l
arge
numb
er fir
st in
orde
r to c
ount
on or
coun
t bac
k.
Menta
l num
ber-l
ine.
D
oubli
ng an
d halv
ing
Bu
ilding
up an
d bre
aking
down
of nu
mber
s.
Use t
he re
lation
ship
betw
een a
dditio
n and
su
btrac
tion.
Rapi
dly r
ecall
:
Ad
dition
and s
ubtra
ction
facts
to 20
.
Add o
r sub
tract
multip
les of
10 fr
om 0-
100.
Ment
al st
rate
gies
Us
e calc
ulatio
n stra
tegies
:
Put th
e lar
ge nu
mber
first
in or
der t
o co
unt o
n or c
ount
back
.
Numb
er-lin
e.
Doub
ling a
nd ha
lving
Build
ing up
and b
reak
ing do
wn of
nu
mber
s.
Use t
he re
lation
ship
betw
een a
dditio
n and
su
btrac
tion.
1.17
Frac
tions
Co
nsoli
date
word
prob
lems i
nvolv
ing eq
ual
shar
ing le
ading
to an
swer
s with
re
maind
ers.
Cons
olida
te wo
rd pr
oblem
s inv
olving
equa
l sh
aring
lead
ing to
answ
ers w
ith re
maind
ers.
Us
e and
name
unita
ry fra
ction
s inc
luding
ha
lves,
quar
ters,
third
s, fift
hs
Re
cogn
ise fr
actio
ns in
diag
ramm
atic f
orm.
Write
frac
tions
as 1
half,
1 thir
d.
-
13 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
MULT
IGRA
DE A
NNUA
L TE
ACHI
NG P
LAN
PATT
ERN,
FUN
CTIO
NS A
ND A
LGEB
RA -
TERM
1 TO
PIC
GRAD
E 1
GRAD
E 2
GRAD
E 3
2.2
Num
ber
patte
rns
Copy
, ext
end
and
desc
ribe
Copy
, exte
nd an
d des
cribe
simp
le nu
mber
se
quen
ces t
o at le
ast 2
0. Se
quen
ce sh
ould
show
coun
ting
forwa
rds a
nd ba
ckwa
rds i
n: •
Ones
from
any n
umbe
r betw
een 1
and 2
0
Copy
, ext
end
and
desc
ribe
Copy
, exte
nd an
d des
cribe
in w
ords
•
simple
patte
rns m
ade w
ith ph
ysica
l o
bjects
•
simple
patte
rns m
ade w
ith dr
awing
s o
f line
s, sh
apes
or ob
jects
Rang
e of p
atte
rns:
Simp
le pa
ttern
s in w
hich s
hape
s or g
roup
s of
shap
es ar
e rep
eated
in
exac
tly th
e sam
e way
Cr
eate
and
desc
ribe o
wn p
atte
rns
• Cre
ate ow
n geo
metric
patte
rns
- with
phys
ical o
bjects
- b
y dra
wing
lines
, sha
pes o
r obje
cts
• Des
cribe
own p
atter
ns
Copy
, ext
end
and
desc
ribe
Copy
, exte
nd an
d des
cribe
simp
le nu
mber
se
quen
ces t
o at le
ast 1
00.
Sequ
ence
s sho
uld sh
ow co
untin
g for
ward
s and
back
ward
s in:
• 1s
from
any n
umbe
r betw
een 0
and 1
00
• 10
s fro
m an
y mult
iple o
f 10 b
etwee
n 0 an
d 100
•
5s fr
om an
y mult
iple o
f 5 be
twee
n 0 an
d 100
•
2s fr
om an
y mult
iple o
f 2 be
twee
n 0 an
d 100
Copy
, ext
end
and
desc
ribe
Copy
, exte
nd an
d des
cribe
in w
ords
•
simp
le pa
ttern
s mad
e with
phys
ical
o
bjects
•
simp
le pa
ttern
s mad
e with
draw
ings
o
f line
s, sh
apes
or ob
jects
Rang
e of p
atte
rns:
• S
imple
patte
rns i
n whic
h sha
pes o
r gr
oups
of
shap
es ar
e rep
eated
in
exac
tly th
e sam
e way
. Cr
eate
and
desc
ribe o
wn p
atte
rns
• Cr
eate
own g
eome
tric pa
ttern
s - w
ith ph
ysica
l obje
cts
- by d
rawi
ng lin
es, s
hape
s or o
bjects
. •
Des
cribe
own p
atter
ns.
Copy
, ext
end
and
desc
ribe
Copy
, exte
nd an
d des
cribe
simp
le nu
mber
se
quen
ces t
o at le
ast 2
00.
Sequ
ence
s sho
uld sh
ow co
untin
g for
ward
s an
d bac
kwar
ds in
: •
the i
nterva
ls sp
ecifie
d in G
rade
2 wi
th inc
reas
ed nu
mber
rang
es
• 10
0s to
at le
ast 5
00
2.2
Nu
mbe
r pa
ttern
s
Copy
, ext
end
and
desc
ribe
Copy
, exte
nd an
d des
cribe
simp
le nu
mber
se
quen
ces t
o at le
ast 2
0. Se
quen
ce sh
ould
show
coun
ting
forwa
rds a
nd ba
ckwa
rds i
n: • o
nes f
rom
any n
umbe
r betw
een 1
and 2
0
-
14 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
-
15 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
MULT
IGRA
DE A
NNUA
L TE
ACHI
NG P
LAN
SPAC
E AN
D SH
APE
- TER
M 1
TOPI
CS
Grad
e 1
Grad
e 2
Grad
e 3
3.1
Posit
ion,
or
ienta
tion
and
views
Lang
uage
of p
ositi
on
Desc
ribe t
he po
sition
of on
e obje
ct in
relat
ion
to an
other
e.g.
on to
p of ,
in fro
nt of
, beh
ind,
left, r
ight, u
p, do
wn, n
ext to
. Po
sitio
n an
d di
rect
ions
Follo
w dir
ectio
ns to
mov
e aro
und t
he
class
room
Follo
w ins
tructi
ons t
o plac
e one
objec
t in
relat
ion to
anoth
er e.
g. pu
t the p
encil
ins
ide th
e box
Su
gges
ted
focu
s seq
uenc
ing o
f wor
k for
Te
rm 1
La
ngua
ge of
posit
ion sh
ould
be
intro
duce
d thr
ough
prac
tical
activ
ities
that in
volve
lear
ners
in ph
ysica
l mo
veme
nt
This
can b
e con
solid
ated t
hrou
gh w
ritten
re
cord
ing su
ch as
draw
ing, c
olour
ing or
ma
tching
draw
ings w
ith w
ords
Apply
the l
angu
age o
f pos
ition l
earn
t wh
en fo
llowi
ng di
recti
ons
Di
recti
ons s
hould
be pr
actis
ed th
roug
h pr
actic
al ac
tivitie
s in w
hich l
earn
ers
move
them
selve
s or o
bjects
acco
rding
to
instru
ction
s
CONS
OLID
ATIO
N OF
POS
ITIO
N,
ORIE
NTAT
ION
AND
VIEW
S CO
NSOL
IDAT
ION
OF P
OSIT
ION,
OR
IENT
ATIO
N AN
D VI
EWS
3.2
3-D
objec
ts
Rang
e of o
bjec
ts
Reco
gnise
and n
ame 3
-D ob
jects
in the
cla
ssro
om an
d in p
ictur
es
ba
ll sha
pes (
sphe
res)
bo
x sha
pes (
prism
s) Fe
atur
es o
f obj
ects
De
scrib
e, so
rt an
d com
pare
3-D
objec
ts in
terms
of:
siz
e
colou
r
Rang
e of o
bjec
ts
Reco
gnise
and n
ame 3
-D ob
jects
in the
cla
ssro
om an
d in p
ictur
es
ba
ll sha
pes (
sphe
res)
bo
x sha
pes (
prism
s)
Feat
ures
of o
bjec
ts
Desc
ribe,
sort
and c
ompa
re 3-
D ob
jects
in ter
ms of
:
size
ob
jects
that r
oll
CONS
OLID
ATIO
N OF
POS
ITIO
N,
ORIE
NTAT
ION
AND
VIEW
S
-
16 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
Fo
cuse
d ac
tiviti
es
Obse
rve an
d buil
d give
n 3-D
objec
ts us
ing
conc
rete
mater
ials s
uch a
s buil
ding b
locks
, re
cycli
ng m
ateria
l, con
struc
tion k
its
Sugg
este
d fo
cus a
nd se
quen
cing
of
activ
ities
for T
erm
1
Free
play
with
vario
us 3-
D ob
jects.
Bu
ilding
thing
s of o
wn ch
oice u
sing
build
ing bl
ocks
, con
struc
tion k
its or
re
cycli
ng m
ateria
l. This
can b
e don
e in
indep
ende
nt tim
e
Copy
a mo
del o
f som
ething
the t
each
er
prov
ides.
This
can b
e don
e in
indep
ende
nt tim
e
Comp
are t
he si
ze of
simi
lar ob
jects
e.g.
say w
hich b
all is
larg
er
Ta
lk ab
out th
e colo
urs o
f obje
cts an
d the
n sor
t obje
cts ac
cord
ing to
colou
r
Identi
fy an
d des
cribe
geom
etric
and
ever
yday
objec
ts by
sayin
g whe
ther a
re
shap
ed lik
e a ba
ll or t
hey a
re sh
aped
lik
e a bo
x
Wor
k is c
onso
lidate
d thr
ough
writt
en
exer
cises
ob
jects
that s
lide
Focu
sed
activ
ities
Obse
rve an
d buil
d give
n 3-D
objec
ts us
ing co
ncre
te ma
terial
s suc
h as c
ut-ou
t 2-
D sh
apes
, buil
ding b
locks
, rec
yclin
g, co
nstru
ction
kits,
othe
r 3-D
geom
etric
objec
ts Su
gges
ted
focu
s and
sequ
encin
g of
ac
tiviti
es fo
r Ter
m 1
Co
py a
mode
l of s
ometh
ing th
e tea
cher
pr
ovide
s. Mo
dels
or co
nstru
ction
s can
be
mad
e usin
g buil
ding b
locks
, re
cycli
ng, c
onstr
uctio
n kits
, othe
r 3-D
ge
ometr
ic ob
jects,
and c
ut-ou
t 2-D
sh
apes
. This
can b
e don
e in
indep
ende
nt tim
e
Comp
are a
nd de
scrib
e the
size
of
simila
r obje
cts e.
g. sta
ck bo
xes f
rom
gr
eates
t to sm
alles
t W
ork w
ith
ba
lls an
d obje
cts sh
aped
like b
alls
va
rious
boxe
s and
othe
r obje
cts sh
aped
lik
e rec
tangu
lar pr
isms o
r cub
es
Inves
tigate
whic
h of th
e obje
cts ca
n roll
, wh
ich sl
ide, w
hich c
an be
stac
ked.
Ide
ntify
and d
escri
be ge
ometr
ic an
d ev
eryd
ay ob
jects
by sa
ying w
hethe
r are
sh
aped
like a
ball,
shap
ed lik
e a bo
x, sh
aped
lik
e a cy
linde
r. W
ork i
s con
solid
ated t
hrou
gh w
ritten
ex
ercis
es.
3.3
2-D
shap
es
Cons
olida
tion o
f 2-D
shap
es
Cons
olida
tion o
f 2-D
shap
es
Rang
e of s
hape
s
Circl
es
Tr
iangle
s
Squa
res
Re
ctang
les
-
17 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
Fe
atur
es o
f sha
pes
Desc
ribe,
sort
and c
ompa
re 2-
D sh
apes
in
terms
of:
sh
ape
str
aight
sides
roun
d side
s Su
gges
ted
focu
s of a
ctivi
ties f
or T
erm
1 Na
me an
d gro
up sh
apes
. Fo
cus o
n the
kind
of si
des t
hat e
ach s
hape
ha
s. Di
sting
uish s
hape
s by t
alking
abou
t whe
ther
their s
ides a
re ro
und o
r stra
ight.
Draw
circl
es, s
quar
es, r
ectan
gles a
nd
triang
les.
Wor
k is c
onso
lidate
d thr
ough
writt
en
exer
cises
. 3.4
Sy
mm
etry
-
18 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
MU
LTI-G
RADE
ANN
UAL T
EACH
ING
PLAN
ME
ASUR
EMEN
T –TE
RM 1
TOPI
CS
GRAD
E 1
GRAD
E 2
GRAD
E 3
4.1
Tim
e
Pass
ing
of ti
me
Talk
abou
t pas
sing o
f time
Or
der r
egula
r eve
nts fr
om th
eir ow
n liv
es
Co
mpar
e len
gths o
f time
using
lan
guag
e e.g.
long
er, s
horte
r, fas
ter,
slowe
r
Sequ
ence
even
ts us
ing la
ngua
ge
such
as ye
sterd
ay, to
day,
tomor
row
Tellin
g th
e tim
e
Desc
ribe w
hen s
ometh
ing ha
ppen
s us
ing la
ngua
ge e.
g. mo
rning
, aft
erno
on, n
ight, e
arly,
late
Na
me an
d seq
uenc
e day
s of w
eek
and m
onths
of ye
ar
Pl
ace b
irthda
ys on
a ca
lenda
r
Tellin
g th
e tim
e
Name
and s
eque
nce d
ays o
f wee
k
Name
and s
eque
nce m
onths
of ye
ar
Pl
ace b
irthda
ys, r
eligio
us fe
stiva
ls, pu
blic
holid
ays,
histor
ical e
vents
, sch
ool e
vents
on a
calen
dar
Te
ll 12-
hour
time i
n hou
rs an
d half
hour
s on
analo
gue c
locks
Ca
lculat
e len
gth
of ti
me a
nd p
assin
g of
tim
e
Us
e cloc
ks to
calcu
late l
ength
of tim
e in h
ours
or
half h
ours
Tellin
g th
e tim
e
Read
dates
on ca
lenda
rs
Plac
e birth
days
, reli
gious
festi
vals,
publi
c holi
days
, his
torica
l eve
nts, s
choo
l eve
nts on
a ca
lenda
r
Te
ll 12-
hour
time i
n
hour
s
half h
ours
qu
arter
hour
s
minu
tes
on an
alogu
e cloc
ks an
d digi
tal cl
ocks
and o
ther d
igital
ins
trume
nts th
at sh
ow tim
e e.g.
cell p
hone
s
4.2
Leng
th
Info
rmal
mea
surin
g
Comp
are a
nd or
der t
he le
ngth,
he
ight o
r widt
h of tw
o or m
ore
objec
ts by
plac
ing th
em ne
xt to
each
oth
er
Us
e lan
guag
e to t
alk ab
out th
e co
mpar
ison e
.g. lo
nger
, sho
rter,
taller
, wide
r
Estim
ate, m
easu
re, c
ompa
re, o
rder
an
d rec
ord l
ength
using
non-
stand
ard m
easu
res e
.g. ha
nd sp
ans,
pace
s, pe
ncil l
ength
s, co
unter
s, etc
.
Info
rmal
mea
surin
g
Estim
ate, m
easu
re, c
ompa
re, o
rder
and r
ecor
d len
gth us
ing no
n-sta
ndar
d mea
sure
s e.g.
hand
sp
ans,
pace
s, pe
ncil l
ength
s, co
unter
s etc.
Desc
ribe t
he le
ngth
of ob
jects
by co
untin
g and
sta
ting t
he le
ngth
in inf
orma
l unit
s
Use l
angu
age t
o talk
abou
t the c
ompa
rison
e.g.
longe
r, sh
orter
, talle
r, wi
der
Intro
ducin
g fo
rmal
mea
surin
g
Estim
ate, m
easu
re, o
rder
and r
ecor
d len
gth
using
metr
es (e
ither
metr
e stic
ks or
metr
e lon
g len
gths o
f strin
g) as
the s
tanda
rd un
it of le
ngth
Cons
olid
atio
n of
gra
de 2
info
rmal
mea
surin
g:
4.3
Info
rmal
mea
surin
g
Estim
ate, m
easu
re, c
ompa
re, o
rder
Co
nsol
idat
ion
of g
rade
1 in
form
al wo
rk:
Cons
olid
atio
n of
gra
de 2
info
rmal
work
:
-
19 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
Mass
and r
ecor
d mas
s usin
g a ba
lancin
g sc
ale an
d non
-stan
dard
mea
sure
s e.g
. bloc
ks, b
ricks
, etc.
Use l
angu
age t
o talk
abou
t the
comp
ariso
n e.g.
light,
heav
y, lig
hter,
heav
ier
4.4
Capa
city/V
olum
e
Info
rmal
mea
surin
g
Comp
are a
nd or
der t
he am
ount
of liq
uid (v
olume
) in tw
o con
taine
rs pla
ced n
ext to
each
othe
r. Le
arne
rs ch
eck b
y pou
ring i
nto a
third
co
ntaine
r if ne
cess
ary
Cons
olid
atio
n
Info
rmal
mea
surin
g
Estim
ate, m
easu
re, c
ompa
re an
d ord
er th
e ca
pacit
y of c
ontai
ners
(i.e. th
e amo
unt th
e co
ntaine
r can
hold
if fille
d) by
using
non-
stand
ard
meas
ures
e.g.
spoo
ns an
d cup
s
Desc
ribe t
he ca
pacit
y of th
e con
taine
r by c
ounti
ng
and s
tating
how
many
of th
e info
rmal
units
it tak
es
to fill
the c
ontai
ner e
.g. th
e bott
le ha
s the
capa
city
of fou
r cup
s In
trodu
cing
form
al m
easu
ring
Es
timate
, mea
sure
, com
pare
, ord
er an
d rec
ord t
he
capa
city o
f obje
cts by
mea
surin
g in l
itres,
half l
itres
and q
uarte
r litre
s
using
bottle
s with
a ca
pacit
y of 1
litre
, or
conta
iners
whos
e cap
acity
is st
ated i
n mi
llilitre
s e.g.
cool
drink
cans
mea
surin
g jug
s in w
hich n
umbe
red c
alibr
ation
lin
es sh
ow lit
res,
half l
itres a
nd qu
arter
litre
s
meas
uring
jugs
whic
h hav
e num
bere
d ca
libra
tion l
ines f
or m
illilitr
es
me
asur
ing cu
ps an
d tea
spoo
ns w
hich i
ndica
te the
ir cap
acity
Comp
are,
orde
r and
reco
rd th
e cap
acity
of
comm
ercia
lly pa
ckag
ed ob
jects
whos
e cap
acity
is
stated
in lit
res e
.g. 2
litres
of m
ilk, 1
litre
of co
ol dr
ink, 5
litre
s of p
aint, o
r in m
illilitr
es e.
g. 50
0 ml o
f mi
lk, 34
0 milli
litres
of co
ol dr
ink, 7
50 m
illilitr
es of
oil
Kn
ow th
at a s
tanda
rd cu
p is 2
50 m
illilitr
es
Kn
ow th
at a t
easp
oon i
s 5 m
illilitr
es
No co
nver
sions
betw
een m
illilitr
es an
d litre
s re
quire
d
-
20 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
Form
al As
sess
men
t Tas
k – T
erm
1
MULT
I-GRA
DE A
NNUA
L TEA
CHIN
G PL
AN
DATA
HAN
DLIN
G -T
ERM
1
TOPI
CS
GRAD
E 1
GRAD
E 2
GRAD
E 3
5.1
Colle
ct an
d so
rt ob
jects
5.2
Re
pres
ent s
orte
d co
llect
ion
of o
bjec
ts
5.3
Disc
uss a
nd re
port
on
sorte
d co
llect
ion
of
objec
ts
5.4
Colle
ct an
d or
gani
se
data
5.5
Re
pres
ent d
ata
5.6
Analy
se an
d In
terp
ret
data
Colle
ct an
d sor
t eve
ryday
phys
ical o
bjects
. D
raw
a pict
ure o
f the s
orted
objec
ts.
Gi
ve re
ason
s for
how
the co
llecti
on w
as
sorte
d An
swer
ques
tions
abou
t:
how
the so
rting w
as do
ne (p
roce
ss)
wh
at the
sorte
d coll
ectio
n loo
ks lik
e (p
rodu
ct)
De
scrib
e the
sorte
d coll
ectio
n
Reco
mm
ende
d:
Who
le da
ta cy
cle to
mak
e clas
s pict
ogra
ph
with
one-
to-on
e cor
resp
onde
nce
Co
llect
data
abou
t the c
lass o
r sch
ool to
an
swer
ques
tions
pose
d by t
he te
ache
r.
Re
pres
ent d
ata in
picto
grap
h with
one-
to-on
e cor
resp
onde
nce.
An
swer
ques
tions
abou
t data
in pi
ctogr
aph
with
one-
to-on
e cor
resp
onde
nce.
Reco
mm
ende
d:
Who
le da
ta cy
cle to
mak
e bar
grap
h. Co
llect
data
abou
t the c
lass o
r sch
ool to
an
swer
ques
tions
pose
d by t
he te
ache
r. Us
e tall
ies to
reco
rd da
ta in
categ
ories
pr
ovide
d. Re
pres
ent d
ata in
Table
s
Bar g
raph
s Ta
lk ab
out a
nd an
swer
ques
tions
abou
t data
in
tables
and b
ar gr
aphs
.
Grad
e 1
Grad
e 2
Grad
e 3
SUMM
ATIV
E FO
RMAL
ASS
ESSM
ENT
- REF
ER T
O AS
SESS
MENT
FRA
MEW
ORK
PROV
IDED
Or
al, P
racti
cal &
Writt
en
Oral,
Pra
ctica
l & W
ritten
Or
al, P
racti
cal &
Writt
en
Asse
ss al
l Con
tent A
reas
As
sess
all C
onten
t Are
as
Asse
ss al
l Con
tent A
reas
-
21 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
See C
APS
docu
men
t:
Page
10 fo
r weig
hting
of C
onten
t Are
as ta
ble 2.
2 Pa
ge 48
8-51
2 for
exem
plars
MULT
I-GRA
DE A
NNUA
L TE
ACHI
NG P
LAN
NUMB
ERS
OPER
ATIO
NS A
ND R
ELAT
IONS
HIPS
- TE
RM 2
TOPI
C GR
ADE
1 GR
ADE
2 GR
ADE
3 1.1
Co
unt o
bjec
ts
• Co
unt o
ut co
ncre
te ob
jects
relia
bly to
20.
• Gi
ve a
reas
onab
le es
timate
of a
numb
er of
ob
jects
that c
an be
chec
ked b
y cou
nting
. •
Coun
ting b
y gro
uping
is en
cour
aged
.
•
Coun
t to at
leas
t 150
ever
yday
objec
ts re
liably
. •
Gi
ve a
reas
onab
le es
timate
of a
numb
er of
ob
jects
that c
an be
chec
ked b
y cou
nting
. •
St
rateg
y of g
roup
ing is
enco
urag
ed.
•
Grou
p to a
t leas
t 500
objec
ts to
estim
ate an
d co
unt r
eliab
ly.
• Gi
ve a
reas
onab
le es
timate
of a
numb
er of
ob
jects
that c
an be
chec
ked b
y cou
nting
.
• Th
e stra
tegy o
f gro
uping
is en
cour
aged
.
1.2
Coun
t for
ward
s An
d ba
ckwa
rds
Coun
t for
ward
s and
bac
kwar
ds in
: •
Ones
from
any n
umbe
r be
twee
n 0 an
d 50
Coun
t for
ward
s in
•
10s f
rom
any m
ultipl
e of 1
0 be
twee
n 0
and 5
0 •
5s fr
om an
y mult
iple o
f 5 be
twee
n 0 an
d 50
•
2s fr
om an
y mult
iple o
f 2 be
twee
n 0 an
d 20
.
Coun
t for
ward
s and
bac
kwar
ds in
: •
1s fr
om an
y num
ber b
etwee
n 0 an
d 150
•
10s f
rom
any m
ultipl
e of 1
0 be
twee
n 0
and 1
50
•
5s fr
om an
y mult
iple o
f 5 b
etwee
n 0 an
d 15
0 •
2s fr
om an
y mult
iple o
f 2 be
twee
n 0 an
d 15
0 •
3s fr
om an
y mult
iple o
f 3 be
twee
n 0 an
d 99
•
4s fr
om an
y mult
iple 4
betw
een 0
and 1
00.
Coun
t for
ward
s and
bac
kwar
ds in
: •
1s, fr
om an
y num
ber
betw
een 0
and
500
•
10s f
rom
any m
ultipl
e of 1
0 betw
een 0
and 5
00
•
5s fr
om an
y mult
iple o
f 5 be
twee
n 0 an
d 500
•
2s fr
om an
y mult
iple o
f 2 be
twee
n 0 an
d 500
•
3s fr
om an
y mult
iple o
f 3 be
twee
n 0 an
d 500
•
4s fr
om an
y mult
iple o
f 0 an
d 500
•
50s,
100s
to at
leas
t 1 00
0.
NUMB
ER C
ONCE
PT D
EVEL
OPME
NT: R
epre
sent
who
le nu
mbe
rs
Re
cogn
ise, id
entif
y and
read
num
bers
Id
entif
y, re
cogn
ise an
d re
ad n
umbe
rs
Iden
tify,
reco
gnise
and
read
num
bers
-
22 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
1.3
Num
ber
sym
bols
and
num
ber
nam
es
•
Reco
gnise
, iden
tify an
d rea
d num
ber
symb
ols 1
to 50
. •
Write
numb
er sy
mbols
1 to1
0. •
Reco
gnise
, iden
tify an
d rea
d num
ber
name
s 1 to
10.
•
Write
numb
er na
mes 1
to 10
.
•
Identi
fy, re
cogn
ise an
d rea
d num
ber
symb
ols 0
to 15
0. •
Write
numb
er sy
mbols
0 to1
50.
•
Identi
fy, re
cogn
ise an
d rea
ds nu
mber
na
mes 0
to 50
. •
Write
numb
er na
mes 0
to 50
.
• Ide
ntify,
reco
gnise
and r
ead n
umbe
r sym
bols
0 to
1 000
.
• W
rite nu
mber
symb
ols 0
to100
0. •
Identi
fy, re
cogn
ise an
d rea
d num
ber n
ames
0 to
250.
• W
rite nu
mber
name
s 0 to
250.
1.4
Desc
ribe,
com
pare
an
d or
der
num
bers
Desc
ribe,
com
pare
and
orde
r up
to 10
ob
jects
•
Comp
are c
ollec
tion o
f obje
cts ac
cord
ing
to ma
ny, fe
w; m
ost, l
east;
mor
e tha
n, les
s tha
n; the
same
as, ju
st as
man
y as,
differ
ent.
•
Orde
r coll
ectio
n of o
bjects
from
mos
t to
least
and l
east
to mo
st.
Desc
ribe,
com
pare
and
orde
r num
bers
to 10
•
Desc
ribe a
nd co
mpar
e who
le nu
mber
s ac
cord
ing to
small
er th
an, g
reate
r tha
n, mo
re th
an, “
less t
han,
is eq
ual to
. •
Desc
ribe a
nd or
der n
umbe
rs:
- from
small
est to
grea
test a
nd g
reate
st to
small
est
- befo
re, a
fter,
in the
midd
le/ be
twee
n - U
sing t
he nu
mber
line 0
– 10
.
Desc
ribe,
com
pare
and
orde
r num
bers
to 50
•
Comp
are w
hole
small
er th
an, g
reate
r tha
n, mo
re th
an, le
ss th
an an
d is e
qual
to.
•
Orde
r who
le nu
mber
s fro
m sm
alles
t to
grea
test, a
nd gr
eates
t to sm
alles
t.
Desc
ribe,
com
pare
and
orde
r num
bers
to 50
0 •
Comp
are w
hole
numb
ers u
p to 5
00 us
ing sm
aller
tha
n, gr
eater
than
, mor
e tha
n, les
s tha
n and
is
equa
l to.
•
Ord
er w
hole
numb
ers
up to
500 f
rom
sm
alles
t to gr
eates
t, and
grea
test to
S
malle
st.
1.5
Plac
e Valu
e
Re
cogn
ise p
lace v
alue o
f num
bers
11 to
50
•
Deco
mpos
e two
-digi
t num
bers
into
multip
les of
tens
and u
nits/o
nes.
Reco
gnise
the p
lace v
alue o
f num
bers
to 50
0 •
Know
wha
t eac
h digi
t rep
rese
nts.
•
Deco
mpos
e two
-digi
t num
bers
up to
500 i
nto
-
23 MULTIGRADE TOOLKIT MATHEMATICS FOUNDATION PHASE
•
Identi
fy an
d stat
e the
value
of ea
ch di
git.
multip
les of
tens
and o
nes/
units
. •
Identi
fy an
d stat
e the
value
of ea
ch di
git.
1.6
Prob
lem so
lving
te
chni
ques
Use t
he fo
llowi
ng te
chniq
ues w
hen s
olving
pr
oblem
s and
expla
in ow
n solu
tions
to
prob
lems:
Co
ncre
te ap
para
tus e.
g. co
unter
s
Pictu
res t
o dra
w the
stor
y sum
.
Bu
ilding
up an
d bre
aking
down
nu
mber
s.
Doub
ling a
nd ha
lving
Numb
er lin
es su
ppor
ted by
conc
rete
appa
ratus
e.g.
coun
ting b
eads
.
Use t
he fo
llowi
ng te
chniq
ues w
hen s
olving
pr
oblem
s and
expla
in ow
n solu
tions
to
prob
lems:
dr
awing
s or c
oncre
te ap
para
tus e.
g. co
unter
s
Bu
ilding
up an
d bre
aking
down
of
numb
ers.
Do
ublin
g and
halvi
ng
Nu
mber
lines
supp
orted
by co
ncre
te ap
para
tus.
Use t
he fo
llowi
ng te
chniq
ues w
hen s
olving
prob
lems
and e
xplai
n ow
n solu
tions
to pr
oblem
s:
Build
ing up
and b
reak
ing do
wn of
numb
ers.
Do
ublin
g and
halvi
ng
Nu
mber
lines
Roun
ding-
off in
tens
1.7
Addi
tion
and
subt
ract
ion
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n ow
n solu
tion t
o pro
blems
invo
lving
addit
ion an
d su
btrac
tion w
ith an
swer
s up
to 10
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n ow
n solu
tion t
o pro
blems
invo
lving
addit
ion an
d su
btrac
tion w
ith an
swer
s up
to 50
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n own
so
lution
to pr
oblem
s inv
olving
addit
ion an
d su
btrac
tion w
ith an
swer
s up
to 40
0
1.8
Repe
ated
addi
tion
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n ow
n solu
tion t
o pro
blems
invo
lving
repe
ated
addit
ion w
ith an
swer
s up t
o 10.
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n ow
n solu
tion t
o pro
blems
invo
lving
repe
ated
addit
ion an
d mult
iplica
tion w
ith an
swer
s up t
o 30
.
Solve
numb
er pr
oblem
s in c
ontex
t and
expla
in ow
n so
lution
to pr
oblem
s inv
olving
lead
ing to
mult
iplica
tion
with
answ
ers u
p to 7
5.
1.9
Grou
ping
and
shar
ing
leadi
ng to
divi
sion
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n ow
n solu
tion t
o pro
blems
invo
lving
equa
l sh
aring
and g
roup
ing w
ith w
hole
numb
ers u
p to
10 an
d with
answ
ers t
hat m
ay in
clude
re
maind
ers.
Solve
wor
d pro
blems
in co
ntext
and e
xplai
n ow
n solu
tion t
o pro
blems
that
involv
e equ
al sh
aring
and g
roup
ing up
to 30
with
answ
ers t
hat
may i
nclud
e rem
ainde
rs.
Solve
numb
er pr
oblem
s in c
ontex
t and
expla
in ow
n so
lution
to pr
oblem
s tha
t invo
lve eq
ual s
harin
g and
gr
oupin
g up t
o 75 w
ith an
swer
s tha
t may
inclu
de
rema
inder
s.
1.10
Shar
ing
leadi
ng to
fra
ctio
ns
So
lve w
ord p
roble
ms in
conte
xt an
d exp
lain
own s
olutio
ns to
prob
lems t
hat in
volve
equa
l sh
aring
lead
ing to
solut
ions t
hat in
clude
unita
ry fra
ction
s e.g.
half,
quar
ter, th
ird an
d fifth
etc.
1.10 F
ract
ions
So
lve an
d exp
lain s
olutio
ns to