MMETSE KA SEPEDI

Tona ya Thuto ya Motheo
Re hutša gore barutiši ba tla holega ka dipuku tše mošomong wa
bona wa tšatši ka tšatši wa go ruta, le go kgonthiša gore barutwana
ba kgona go fetša lenanethuto. Re hlokometše gore re hlahle barutiši
ditirong ka moka ka go tsenya maswao a ditaetši ao a laetšago seo
morutwana a swanetšego go se dira.
Mna Enver Surty,
Motlatša-Tona ya Thuto
ya Motheo
GRADE 3 – BOOK 1
TERMS 1 & 2
ISBN 978-1-4315-0009-3
THIS BOOK MAY
NOT BE SOLD.
Re kganyogela lena, barutiši, le barutwana ba lena, katlego, ka
tšhomišo ya dipukutšhomo tše.
1 2 3 4
5 6 7 8
9 10
x
3
3
2
1
6
2
3
1
6
4
2
Mphato
wa
ISBN 978-1-4315-0009-3
MATHEMATICS IN SEPEDI
Re tloga re hutša gore bana ba tla ipshina ka go dira mešomo ye e
lego ka mo dipukwaneng tše ge ba dutše ba gola, ba ithuta, le gore
wena, morutiši, o tla ipshina le bona mo lethabong la go ithuta.
MMETSE KA SEPEDI – Mphato wa 3 Puku ya 1
Mdi Angie Motshekga,
4
Leina:
3
Klase:
2
MMETSE KA SEPEDI
Dipukutšhomo tše di tšweleditšwe go thuša bana ba Afrika-Borwa
ka tlase ga boetapele bja Tona ya Thuto ya Motheo, Mdi Angie
Motshekga, le Motlatša-Tona wa Thuto ya Motheo, Mna Enver
Surty.
Rainbow Workbooks di bopa karolo ya mohlwaela wa tsenogare
woo maikemišetšo a wona e lego go kaonafatša mošomo wa
barutwana ba Afrika-Borwa bao ba lego mephatong ye tshela ya
mathomo. Projeke ye, bjalo ka ge e le ye nngwe ya dinepokgolo tša
Dithulaganyo tša go Diragatša tša Mmušo, e kgonne go diragala
ka thekgo ya mašeleng a go tšwa, ka ntle le go kgokgona go
Sešegotlotlo sa Bosetšhaba. Se se kgontšhitše Kgoro go dira
dipukutšhomo tše, ka maleme ka moka a semmušo, ka ntle ga gore
Kgoro e lefe.
5
8 9
56 7
4
Puku ya 1
Kotara ya
1&2
X
2 x 2=4
Published by the Department of Basic Education
222 Struben Street
Pretoria
South Africa
© Department of Basic Education
Third edition 2013
1
2
3
4
5
6
7
8
9
10
2
4
6
8
10
12
14
16
18 20
3
6
9
12
15
18
21 24 27 30
4
8
12
16 20 24 28 32 36 40
5
10
15 20 25 30 35 40 45 50
6
12
18 24 30 36 42 48 54 60
7
14
21 28 35 42 49 56 63 70
8
16 24 32 40 48 56 64 72 80
9
18
ISBN 978-1-4315-0009-3
The Department of Basic Education has made every effort to trace copyright
holders but if any have been inadvertently overlooked, the Department will be
pleased to make the necessary arrangements at the first opportunity.
This book may not be sold.
27 36 45 54 63 72
81 90
10 20 30 40 50 60 70 80 90 100
1
2
3
4
5
6
7
8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
1
Letatikgwedi:
Kotara ya 1 – Beke ya 1
3R]RSVR\R_jR`SV`]RVeV
?R X` _R ]V UZ_R]VUZ eV \RV0
`^R_X \R dVY]`aYR dR SR SRcRc`
3RaVeR UZ\RcRS`
$kaQ\agRUekediQaOeditÅekaeBBBBBB
%MaOediEaOeBBBBBB
9hVeR^`eY`aRdVW`\R
?R \V ^R_X R R\R_eVX` X` WVeR SR SR_XhV0
?XhR]R ^RZ_R R XRX` ]V UZ\RcRS` \R XRcV XR ]V_R_V` ]V
Leina
Kakanyo
Palo ye e badilwego
Phapano magareng ga
kakanyo ya gago le seo o
se badilego
2
1
2
3
4
5
6
7
8
9
10
5ZedV]R eR X` SR]R CV eYfÞV X` V _XhR]R
IKe
counted
badile
in
katwos
di Ke badile
ka di 1
1 BBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBB
BBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBB
Ke badile
ka di 5
Ke badile
ka di 10
BBBBBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBB
Ngwala maW`\Rpalo
BBBBBBBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBB
8e o Ylakanya UZno^oco
UZWe goba UZWe eÞe aeUZ ga
go edYhenye goce eaeelano
ya tÞona ke eWe
Nghala ^aWoko a ^abeUZ go Wa aalo^oka ya UZnaleUZ ee
kgolo le ee nnyane ^o dedhaneYong da ^o go leelakala #
5Z nghale ka ^ekgha ye ^ebeUZ
Kgolo
g
Nnyane
y
Bjalo ka ye
goba
bjalo ka ye
y
+
= _____
+
= _____
gape bMalo ka leIokopalo
_________ + _________ =_________ goba _________ + _________ = _________
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
3
2
Letatikgwedi:
8o bala ka boYlale
Kotara ya 1 – Beke ya 1
Bala maW`di
Hweta tsela ye bonolo ya go a bala
Karabo: BBBBBBBBBBBBB
Go paka maW`di
0aIodi a lesome a lokelwa ka mokotlaneng o tee
Na o ka tlatÞa mekotlana ye mekae ka maIodi" BBBBBBBBBBBBBBB
Na ke maWodi a makae ao a ÅetÅego" BBBBBBBBBBBBBBB
Go nyakega mafodi a makae go tlatÅa mokotlana
wo mongwe gape" BBBBBBBBBBBBBBB
4
1
2
3
4
5
6
7
8
9
10
Go tloga ka + go fihla ka × (go hlakanya le go atiÅa)
feleletÞa mafokopalo
Mohlala:
10 + 10 + 10 + 10 = 40
a
di 4 tÞe 10 = 40
10 + 10 + 10 = BBBBBBBBB
BBBBBBBB×BBBBBBBB = BBBBBBBBB
BBBBBBBBB dihlopha tÅa 10 = BBBBBBBB
b
4 × 10 = 40
10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = BBBBBBBBB
BBBBBBBBB dihlopha tÅa 10 = BBBBBBBB
BBBBBBBB×BBBBBBBB = BBBBBBBBB
Diatla le menwana
Na ke diatla tÅe kae" BBBBBB
Na ke menwana ye mekae"BBBBBB
Teacher:
Ngwala dikarabo tÅa gago ka ditsela tÅe 2
BBBB dihlopha tÅe 10 ke = BBBB
Sign:
le
BBBB × 10 = BBBB
11 12 13 14 15 16 17 18 19 20
Date:
5
3a
Letatikgwedi:
Kotara ya 1 – Beke ya 1
5Zno^oco ^o go kcZtZ
Go bolela ka dinomoro
Bolela dinomoro ka moka go tloga ka 1 – 100
Di Åupe o le gare o tÅwela pele go di bolela
1
2
3
4
5
6
8
9
10
11
27
34
40
41
55
63
71
86
94
100
a
Ngwala nomoro yeo e sego gona ka gare ga ploko ye nngwe le ye nngwe ye talalerata
b
Ngwala dinomoro tÅe dingwe
c
Dinomoro tÅe serolane ke tÅa mohuta mang?
Ngwala dinomoro tÅV\R^R_eu
90
6
lesomesenyane
41
77
56
14
65
1
2
3
4
5
6
7
8
9
10
O tla swanela go ba le:
kriti ya dinomoro 1–100
Go bala le go hlopha
6ega dibaledi mo lephepheng la 1 la disengwa
Di bee ka bothakga ka mokgobo
ItokiÅetÅe go bala!
omiÅa kriti ya gago ya dinomoro le dibaledi tÅa gago (Lephephe la go segwa la 2)
Bala o be o hlophe
di-10
Bala o be o hlophe di-5 go
tloga ka 0–100
Bala o be o hlophe di-2
Bala ka di-10 go tloga ka Bala ka di-5 go tloga ka 5 Bala ka di-2 go tloga ka 2
10 go fihla ka 100
go fihla ka 100
go fihla ka 100
Ngwala ka di-10 go tloga Ngwala ka di-5 go tloga ka Ngwala ka di-2 go tloga ka
ka 10 go fihla ka 100
5 go fihla ka 80
2 go fihla ka 100
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
7
3b
Letatikgwedi:
Kotara ya 1 – Beke ya 1
5Zno^oco ^o go kcZtZ (UZ thela aele)
Go nyaka dipatrone
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23 24 25 26
27 28 29 30
31
32
33
37
41
42 43 44 45 46 47 48 49 50
51
52 53 55 55 56
57 58 59 60
61
62
63 64 65 66
67 68 69 70
71
72
73
77
81
82 83 84 85 86 87 88 89 90
91
92
93
34 35
74
75
94 95
6waya di-10 ka moka
36
76
96
97
38 39 40
78
79 80
98 99 100
6waya di-5 ka moka
6waya di-2 ka moka
Ngwala dinomoro tÅa mathomo tÅe 20 tÅeo di lego ka dipatrone tÅa 2 le tÅa 5
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
8
1
2
3
4
5
6
7
8
9
10
Go bala ka dipatrone
Ngwala dinomoro tÞeo di tlogetÞwego
0 10 20 BBBBB BBBBB 50 BBBBB BBBBB 80 BBBBB 100 BBBBB
BBBBB 130 BBBBB BBBBB 160 BBBBB BBBBB BBBBB 200
0 5 10 BBBBB BBBBB 25BBBBB BBBBB 40 BBBBB 50 55 BBBBB
BBBBB 70 BBBBB BBBBB 85 BBBBB BBBBB 100
0 2 4 6 BBBBB BBBBB 12 BBBBB BBBBB 18 BBBBB 22 24 BBBBB
BBBBB 30 BBBBB BBBBB 36 38 BBBBB BBBBB BBBBB 46 BBBBB
0 BBBBB 8 BBBBB 16 20 BBBBB 28 BBBBB 36 BBBBB BBBBB
BBBBB 52 BBBBB BBBBB 64 BBBBB 72 BBBBB 80
0 BBBBB 10 BBBBB 20 BBBBB30 BBBBB 40 BBBBB BBBBB 55
60 BBBBB 70 75 BBBBB 85 BBBBB BBBBB 100
0 3 BBBBB 9 BBBBB 15 18 BBBBB 24 BBBBB BBBBB 33 BBBBB 39
Teacher:
Sign:
BBBBB 45 BBBBB BBBBB 54 57 BBBBB 63 BBBBB BBBBB 72 75
11 12 13 14 15 16 17 18 19 20
Date:
9
4
Letatikgwedi:
Boe^oaalo
Kotara ya 1 – Beke ya 1
8`]RVeRUZ_`^`c`eRXRX`
NtÞha dikarata tÞa dinomoro go tÞwa lephepheng la go segwa la 3
ßomiÞa dikarata go hlama dinomoro tÞe
19
43
69
19
54
1 0
43
35
1 0
9
10 + 9 = 19
9
1 0
40 + 3 = 43
1 0
1 0
1 0
3
3[R]VZeZcV]V^`X`UZ_`^`c`eV``^ZRUZdVXhReR"]VeR$
54
35
BBBBBBBB =BBB
69
BBBBBBBB =BBB
10
1
2
3
4
5
6
7
8
9
10
8`_XhR]RUZ_`^`c`eV
Gape re ka re
di 1 tÞe 9
Re go diretÞe ya mathomo
19
10 + 9
lesome le di-1 te 9
lesomesenyane
43
69
54
35
21
73
44
32
89
17
95
56
68
67
?XhR]RUZ_`^`c`eVY]R_`eR^ReY`^`eR]V_R_V`_X]R\RX`UZ^`
\ReReV]R_`X`e]`XR\RjV__jR_VX`jRX`jV\X`]`
BBBBBBBB
BBBBBBBB
BBBBBBBB
BBBBBBBB
BBBBBBBB
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
11
5
Letatikgwedi:
Kotara ya 1 – Beke ya 2
8o Ylakanya le go ntYa
Lebenkele la Lebo
>edong =ebo o na le UZaYakete te $" ta UZaaola
Ka letena o ÞetÞe ka UZaYakete te "$
a. Na Lebo o rekiÞitÞe diphakete tÞe kae? BBBBBB
b. Ngwala karabo ya gago bMalo ka tsela ya lefokopalo
BBBBBB – BBBBBB = BBBBBB
Ngwala mafokopalo a mangwe a mahlano go laetÞa karabo ya go swana
14 – 9 = 6 BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB
o^Zas
+ – =
A`V]Ve`jRUZ_`^`c`
Nghala UZkacabo
10 + 5 =
11 + 6 =
14 – 9 =
14 – 8 =
11 + 5 =
17 + 2 =
19 – 7 =
14 – 5 =
12 + 6 =
3 + 13 =
16 – 5 =
16 – 13 =
17 + 2 =
4 + 15 =
15 – 10 =
19 – 7 =
5ZaR]`eRX`dVaV]V]R_R
5
9
14
>eYlala ya ^eloko ye ya UZno^oco e+
12
1
2
9 + 5 = 14
5 + 9 = 14
14 – 9 = 5
14 – 5 = 9
3
4
5
6
7
8
9
10
Na o kgona go bona UZaalo ka ^oka tÞa go deaelelana tÞa "%0
1 + 13 = 14
13 + 1 = 14
14 – 1 = 13
14 – 13 = 1
2 + 12 =
3 + 11 =
4 + 10 =
5+9=
6+8=
7+7=
Ke ile go dira bjalo
le ka 12
12
1 + 11 = 12
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
13
6
Letatikgwedi:
Kotara ya 1 – Beke ya 2
5ZaeUZWatha le UZcZaagace
Na o a gopola?
2 ke seripagare sa 4
20 ke seripagare sa 40
4 ke 2 gabedi
40 ike 20 gabedi
Re ka laetÞa se ka sethalwa
4
40
2
2
20
20
8`YhVeRUZaVUZWRe`X`SRUZcZaRXRcV
a.
b.
8
d.
e.
48
c.
60
8
f.
34
50
66
Tlhohlo
HwetÞa seripagare sa 3
E laetÞe bjalo ka nomoro goba leina palo
Sethalwa se ka go thuÞa
14
1
2
3
4
5
6
7
8
9
10
Pedifata nomoro o omiR^`eYR]`aR]`
@WZ]hV^`Y]R]RhR^ReY`^`
4
a % gabeUZ
0
1
2
3
1
2
3
10
20
30
6
7
4
40
10
20
30
40
Feleleta te di latelago
a
b
c
d
e
1 gabedi
6 gabedi
10 gabedi
30 gabedi
50 gabedi
2
8
9
10
8
9
10
80
90
100
80
90
100
=
5
6
7
=
50
60
70
+
U %! gabeUZ
0
5
+
T #! gabeUZ
0
4
8
=
+
b & gabeUZ
0
4
+
=
50
60
70
Feleleta te di latelago
a
b
c
d
e
Seripagare sa 6
Seripagare sa 8
Seripagare sa 14
Seripagare sa 60
Seripagare sa 70
3
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
15
7
Letatikgwedi:
Kotara ya 1 – Beke ya 2
5ZaaloaYatlo
Khalara kotara ya dipalune ka bohubedu, tÞe
dingwe ka botalalerata
Khalara seripagare sa lepokasi ka bohubedu
Lebelela seswantÞho Swaya
dibopego tÞe di laetÞago
diripagare
Khalara seripagare se tee sa
sebopego se sengwe le se sengwe
se se arotÞwego ka diripagare
y
Lebelela dibopego Swaya dibopego tÞe di laetÞago dikotara
Khalara kotara e tee ya sebopego se sengwe le se sengwe se se arotÞwego ka
dikotara
y
16
1
2
3
4
5
6
7
8
9
10
Khalara seripagare sa dibopego Na seripagare sa palo ya dibopego ke eng?
KYalaca kotaca ya UZboaego Na kotaca ya aalo ya UZboaego ke eng0
Nghala e be ka deka da
aaloaYatlo
Seripagare
Kotara
EYala UZboaego tÞe UZnghe gaae o UZce goce UZcZaagace UZ lekane
EYala UZboaego tÞe UZnghe gaae o UZce goce UZkotaca UZ lekane
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
17
8
Letatikgwedi:
8o beakanya tYelete
Kotara ya 1 – Beke ya 2
Setokofeleng
MmaLetsoalo o bala le go beakanya tÞhelete ya go
tÞwa go sehlopha
Lekanyeta palomoka ya thelete
Bala thelete
RBBBBBBBBBBBBBBBBBBBB
RBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Baaeta UZtekanyeo
le UZaalo^oka
8`S`]`\ReYV]VeV
Makete o boloka thelete ya go reka phere ya dieta ta theko ya R89
Ga bjale o na le seripagare sa thelete
Na o sa nyaka bokae?
BBBBBBBB BBBBBBBB BBBBBBBB
Ngwala lefokopalo go laeta karabo ya gago
18
1
2
3
4
5
6
7
8
9
10
Pankeng
Maria o beakanya thelete ya pampiri ka
mekgobo ya di 10
O sa swere thelete ye nngwe ya pampiri
Ngwala palomoka ya seswantho se sengwe
le se sengwe
Palomoka
RBBBBBBBBBBBBB
RBBBBBBBBBBBBB
RBBBBBBBBBBBBB
Tlhohlo
=VVe`]RdVcRaV_XdRUZaY``W`]`
Batho ba bangwe ba bagolo le bana ba ya
serapeng sa diphoofolo
Ba reka dithekethe ta R90
Na ke bana ba bakae? BBBBBB
Na ke batho ba bakae ba bagolo? BBBBBB
Na go na le karabo ye nngwe?
Batho ba bagolo BBBBBB Bana BBBBBB
Serapa sa
diphoofolo
Bana
Batho ba
bagolo
R10
Teacher:
Sign:
R20
11 12 13 14 15 16 17 18 19 20
Date:
19
9
Letatikgwedi:
Kotara ya 1 – Beke ya 3
5Zaatcone
ßomiÞa papetla ye ya dinomoro tÞa 200 go araba dipotÞiÞo
1
11
21
31
41
51
61
71
81
91
101
111
121
131
141
151
161
171
181
191
2
12
22
32
42
52
62
72
82
92
102
112
122
132
142
152
162
172
182
192
3
13
23
33
43
53
63
73
83
93
103
113
123
133
143
153
163
173
183
193
4
14
24
34
44
54
64
74
84
94
104
114
124
134
144
154
164
174
184
194
5
15
25
35
45
55
65
75
85
95
105
115
125
135
145
155
165
175
185
195
6
16
26
36
46
56
66
76
86
96
106
116
126
136
146
156
166
176
186
196
7
17
27
37
47
57
67
77
87
97
107
117
127
137
147
157
167
177
187
197
8
18
28
38
48
58
68
78
88
98
108
118
128
138
148
158
168
178
188
198
9
19
29
39
49
59
69
79
89
99
109
119
129
139
149
159
169
179
189
199
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
ßomiÞa papetla ya dinomoro go feleletÞa dinomoro tÅe nne tÅe di latelago mo go
dipatrone Ka morago khalara patrone mo papetleng ya dinomoro
20
105, 110, 115, BBB, BBB ,BBB, BBB
87, 90, 93, BBB, BBB, BBB, BBB
36, 40, 44, BBB, BBB, BBB, BBB
184, 186, 188, BB, BBB, BBB, BBB
70, 65, 60, BBB, BBB ,BBB,BBB
138, 135, 132, BBB, BBB, BBB, BBB
180, 176, 172, BBB, BBB, BBB, BBB
14, 12, 10 BB, BBB, BBB, BBB
1
2
3
4
5
6
7
8
9
10
Ngwala dinomoro tÅe di latetÅego mo go patrone ye nngwe le ye nngwe
Bjale khalara patrone
Go bala ka dihlano
5
"!
Go bala ka ditharo
3
Go bala ka dipedi
#
%
Go bala ka ^Rd`^V
6
"!
GodiÞa patrone
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
21
10
Letatikgwedi:
Kotara ya 1 – Beke ya 3
5Zbolo ^aaokZdZ le UZdZlZntece
5ZcRdVUZ\`X`^Ra`\ZdZ\R^^R]RhRS`eR]R]VcReRUZS`]`\R^^R]Rh`
^`YfSVUfUZdZ]Z_eVcV\R^^R]Rh`^`eR]R]VcReR
<YR]RcR\RcRS`jR^R]VSR
Lepokisi
5ZdZlaete
22
1
5ZdZlaete
5Zcolo
2
Bolo
5ZdZlaete
5Zcolo
Silintere
3
4
5
5Zcolo
6
7
8
9
10
<YR]RcR\RcRS`jR^R]VSR
>ocf^o ha
kgokolo
>ocf^o ha
kgokolo
>ocf^o ha
kgokolo
>ocf^o ha
kgokolo
>ocf^otYhZZ
>ocf^otYhZZ
>ocf^otYhZZ
>ocf^otYhZZ
>ocf^o ha
kgokolo
>ocf^o ha
kgokolo
>ocf^o ha
kgokolo
>ocf^o ha
kgokolo
>ocf^otYhZZ
>ocf^otYhZZ
>ocf^otYhZZ
>ocf^otYhZZ
3`]V]RXVVSRS`]`V\R^`cRX`\RaV]VXR\XRfdhZ]VX`SRX`UZ^`XR
]Va`\ZdZ
Ka ^ocago
ga
Ka aele ga
Ka ^ocago
ga
Ka aele ga
KgafdhZ le
8oUZ^o ga
KgafdhZ le
8oUZ^o ga
Ka ^ocago
ga
Ka aele ga
Ka ^ocago
ga
Ka aele ga
KgafdhZ le
8oUZ^o ga
KgafdhZ le
8oUZ^o ga
Teacher:
Sign:
11 12 13 14 15 16 17 18 19 20
Date:
23
11
Letatikgwedi:
Kotara ya 1 – Beke ya 3
EYala o We leZna go^^e o baaete 2-D
Thala dibopego
Khutlotharo
Sediko
Sekwere
Khutlonnethwi
Go bala dibopego
Bala gore ke dibopego te kae ta mohuta wa teo o ka di hwetago mo seswanthong
24
1
2
3
4
5
6
7
8
9
10
<YR]RcRUZUZ\`\R^`\ReV
kgolo ka bohubedu, tÞe nnyane ka botalamorogo;
dikhutlotharo tÞe kgolo ka botalalerata, dikhutlotharo tÞe nnyane ka
mmala wa namune;
dikwere tÞe kgolo ka boserolane, dikwere tÞe nnyane ka phepholo;
dikhutlonnethwi tÞe nnyane, tsotho, le dikhutlonnethwii tÞe nnyane,
bopinki
Na ke mahlakore a makae?
Na sebopego se sengwe le se sengwe se na le mahlakore a makae?
Ngwala karabo ka gare ga ploko Re go direte ya mathomo
Na mahlakore ke a thwii goba a nkgokolo? Khalara karabo ya maleba
3
Thwii
Nkgokolo
Thwii
Nkgokolo
Thwii
Nkgokolo
Thwii
Nkgokolo
Teacher:
Sign:
Thwii
Nkgokolo
Thwii
Nkgokolo
Thwii
Nkgokolo
Thwii
Nkgokolo
11 12 13 14 15 16 17 18 19 20
Date:
25
12
Letatikgwedi:
Kotara ya 1 – Beke ya 3
Nako e a deaela
Go bala nako
Na diupanako te di laeta dinako dife?
iri ya BBBBBB
iri ya BBBBBB
iri ya BBBBBB
iri ya BBBBBB
faRUZ_R\`eVUZWRaR_VX`^`X`eYfaR_R\`
ThuÞa legotlo Mimi go bala metsotso ka di 5
Thoma go 12 Eya le dinomoro go dikologa tÞhupanako ka moka
O badile metsotso ye mekae? BBBBBBBBBBBBBBBBBB
Go na le metsotso ye mekae ka go iri e 1? BBBBBBBBBBBBBBB
Go ngwala nako
Thala manakana go laeta dinako
Metsotso ye 10 go
twa go iri ya 6
26
1
2
metsotso ye 20 go
twa go iri ya 8
3
4
5
metsotso ye 5 go
twa go iri ya 11
6
7
metsotso ye
lesometharo go twa
go iri ya 5
8
9
10
Tumi o ya sekolong
O tloga ka gae
O fihla sekolong
Na Tumi o tea nako ye kaakang? BBBBBBBBBBBB
=VeReZ]RX`aR\R
Maria o paka borotho
Borotho bo tsena ka
gare ga onto
Borotho bo
a twa
Borotho bo pakwa metsotso ye BBBBBBBBBBBBBBBB
Tlhohlo
Ke bona patrone
Nako yeo e okeditwego gabedi
a )etolela diiri go metsotso
Diiri
1
Metsotso
60
2
4
8
Teacher:
Sign:
b. Goro o tea metsotso ye 45 go ya sekolong Tumi o tea nako ye gabedi Na Tumi o
tea diiri te kae go ya sekolong? BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
11 12 13 14 15 16 17 18 19 20
Date:
27
13
Letatikgwedi:
Kotara ya 1 – Beke ya 3
Go meta botelele
Lehlakore le
lengwe
le le lengwe
le
la khutlotharo ye
ke botelele bja
diphensele tÞe 2
Lehlakore le
lengwe le le
lengwe la sekwere
se, ke botelele bja
diphensele tÞe 4
Ga ke tsebe
botelele le
bophara bja
khutlonnethwi
Khutlonnethwi e na le botelele bja diphensele tÞe kae?
Khutlonnethwi e na le bophara bja diphensele tÞe kae?
botelele
boaYaca
O ÞomiÞitÞe bjang diphensele go bala?
28
1
2
3
4
5
6
7
8
9
10
3`eV]V]VS[RX`^R\ReR
a. Na o nyaka methalo ye mekae ye mehubedu ya go khupetÅa mothalo wo moso?
b. Na o nyaka methalo ye mekae ye mehubedu go dikologa
khutlonnethwi?
c. Na ke efe ye telele: tsela ya ka godimo goba ya ka fase, goba di a swana?
Karabo BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Teacher:
Sign:
Lebaka? BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
11 12 13 14 15 16 17 18 19 20
Date:
29
14
Letatikgwedi:
Kotara ya 1 – Beke ya 4
Boteng
Ke ÅetÅe ke tÅhetÅe
dikomiki tÅe pedi ka
go jeke ya go ela
Go sa nyakega dikomiki tÞe kae tÞa
meetse gore setÞhelo se tlale?
BBBBBBBBBBBBBBBBBBBBBBBBBBB
Go na le meetse a dikomiki tÞe kae ka gare ga setÞhelo?
Re sa nyaka dikomiki tÞe kae tÞa meetse gore re tlatÞe sethelo?
helo?
a
b
Ka gare ga
setÞhelo
Go nyakega
G
k
ggape
p
1
9
c
Ka gare ga
setÞhelo
Go nyakega
G
k
gape
Ka gare ga
setÞhelo
G
Go nyakega
k
gape
Ka gare ga
setÞhelo
Go nyakega
gape
d
G
Go nyakega
k
gape
Ka gare ga
set
setÞhelo
tÞhelo
e
f
K
Kaa gare
gare ga
g
setÞhelo
30
1
2
Go nyakega
gape
3
4
5
6
7
8
9
10
Ngwala makga a go khutÞa jekeng ye ya go ela Re bontÅhitÅe lekga la 5
TlatÅa makga a mangwe a go khutÅa mo go jeke
Ge komiki e tee e tlatÞa jeke go fihla
sekgeng
sekg sa 2, go nyakega dikomiki tÞe kae
t
go tlatÞa
jeke go fihla go
a
4 BBBBBBB?
b
6 BBBBBBB?
c
8 BBBBBBB?
d
10BBBBBBB?
Swaya ditÞhelo tÞeo di swarago litere e 1 ya seela
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
31
15
Letatikgwedi:
Kotara ya 1 – Beke ya 4
Go oma ka boZma
A re ele boima bja rena!
Go hweta boima bja rena, ge eba re bofefo goba re
boima, re omia sekala
Re ela boima ka dikilogramo
Re omia khutsofato: kg Ke mang yo a imelago go geta?
41 kg
38 kg
41 kg
42 kg
39 kg
CV`^ZRdV\R]RdRX`]V\R_jVeRX`V]R
$raba di pÅtsiÅo
pÅtsiÅ Ngwala a goba b
Mo go sekala se bobedi
bja diapola ka moka di kala
go swana
32
1
2
3
Ke mo go sekala sefe mo apola ye talamorogo e imelago go
feta apola ye khubedu?
Ke mo go sekala sefe mo apola ye talamorogo e fetwago ke
apola khubedu ka boima?
4
5
6
7
8
9
10
=V\R_jVeRUZ\R]R
Re go diretÞe sa mathomo
Thala go bontÅha gore o nyaka ditena goba dibolo tÅe kae go
dira gore dikala tÅe lekanyetÅwe?
Ditena tÅe pedi di kala go
lekana le dibolo tÅe nne
Ge phasela e tee e kala 3kg TÞe BBBBBBB di tla kala?
a
2 BBBBBB
b
3 BBBBBB
c
Na nka kgona go kala diphasela tÞe 4 ka nako e tee mo sekaleng
sa ka moraleng? BBBBBB
Ka lebaka la eng? BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
DhRjRUZeYV]`eRUZaYR\VeVeRS`Z^RS[R"\X&!!X#&!X#!!X
a
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
33
16
Letatikgwedi:
Kotara ya 1 – Beke ya 4
Go Þoma ka UZWZha
5ZVeR\RaYRa`Z_X
Bala kanegelo
EYabo+
>malo >oYfmagatana >olelo ke yo mogologolo @ aaaca daede
ya ' ya UZeta
>UZ >aceUZ+
Go bjalo 6e EYabo ke daede ye kgolo kfUf go nghana ha menghaga ye denyane Na
ke daede eWe yeo o e aaacago EYabo0 Na aYaaoZ ka moka e aaaca UZdeade UZWe0 2 ce
nyakZZeng
Bacfthana ba bolela UZdaede ta bona ka o tee ka o tee
>UZ >aceUZ o nghala UZdaede letlaaeng
Balang gomme le nghale aalo ya UZdaede ka moka mo lenaneong
>UZ >aceUZ+
2
2
4
1
4
2
3
2
1
3
3
2
2
2
2
2
2
3
2
3
1
6
3
4
2
3
2
5
3
1
4
3
2
3
2
1
3
3
2
2
3
3
2
4
1
2
4
2
2
4
3
3
1
4
3
Ngwala lenaneo la ka tlase
Disaese ta dieta ta ka phapoing
Saese ya 1
34
1
Saese ya 2
2
3
Saese ya 3
4
5
Saese ya 4
6
7
Saese ya 5
8
Saese ya 6
9
10
3[R]VeYR]RdVdhR_eY`
Saese ya 1
Saese ya 2
Saese ya 3
= morutwana o tee
Saese ya 4
Saese ya 5
Saese ya 6
Bjale arabang dipotio te
a. Barutwana ba banti ba apara dieta ta saese ya BBBBBBBBBBB
b. Palo ye nnyane e apara saese ya BBBBBBBBBBB
c. Bana baBBBBBB ba kgathile tema dinyakiiong
Na wena?
Nyakiia gore na wena le bagwera ba gago le apara disaese dife ta dieta!
ƒ
ƒ
ƒ
ƒ
ßomang ka dihlopha ta 6 go ia go 8
Kgoboketang difiwa ta lena
Ngwalang palo ya disaese ta dieta lenaneong
Bapetang dikarabo le dihlopha te dingwe
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
35
17
Letatikgwedi:
Kotara ya 1 – Beke ya 5
Baaeta gomme o beakanye UZnomoco
75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
Ke nomoro efe ye e
lego pele ga 84? Ke
nomoro efe ye e lego
ka morago ga 84?
Ke nomoro efe ye
e lego gare ga 88
le 90?
Ngwala dinomoro tÞe di tlogetÞwego.
51
67
71
100
ßomiÞa papetla ya dinomoro o arabe dipotÞiÞo.
ƒ
ƒ
ƒ
ƒ
ƒ
ƒ
Ke nomoro efe ye e tlago pele ga 68? ______
Ke nomoro efe ye e tlago ka morago ga 68? _______
Ngwala dinomoro tÞe hlano tÞe dinnyane go 71. _____, ______, ______, ______, ______
Ngwala dinomoro tÞe hlano tÞe dikgolo go 71. ______, ______, ______, ______, ______
Ke dinomoro dife tÞe di lego gare ga 79 le 84? __________________________________
Ngwala dinomoro go tloga go ye nnyanennyane go fihla ka ye kgolokgolo. 73, 52, 50, 59, 61
_________________________________________________________________
ƒ Ngwala dinomoro go tloga go ye kgolokgolo go fihla ka ye nnyanennyane. 74, 96, 99, 91, 38
_________________________________________________________________
36
1
2
3
4
5
6
7
8
9
10
FeleletÞa lenaneo le. Thoma ka nomoro ye e filwego.
E tee go feta
E tee ka tlase ga
Te lesome go
feta
Te lesome ka
tlase ga
25
39
74
56
40
Dira sediko go nomoro ye kgolo.
78
87
17
36
63
33
14
41
40
Dira sediko go nomoro ye nnyane.
99
19
9
Ge leswao < le era nnyane go lekana le, gomme leswao ! le era kgolo go,
feleletÞa:
64
57
>
32
23
98
89
>
18
57
Nyaka dinomoro tÞe 5 mo kuranteng tÞe di lego gare ga 50 le 99 gomme o di
mamaretÞe mo. Na nomoro ye nngwe le ye nngwe era eng?
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
37
18
Letatikgwedi:
Kotara ya 1 – Beke ya 5
Kemaaalo ya 99
8`]RVeRUZ_`^`c```^ZRUZ]`
Go matlakalathomo a mangwe re omiite mekgobo ya dikotana te 10 le
dikotana ta go sepela di le tee go laeta dinomoro te dikgolo.
Masome
MetÞo
Re ka laeta dinomoro ka dibloko tÅa dikemapalo.
Ploko ye nnyane e emete 1.
Kgolo ya ditshipi te 10 te nnyane ta diploko di emete 10. Ke 10.
O ka laeta nomoro ka go
omia masome le metÞo.
Masome
MetÞo
4
7
masomenneupa
Ye ke tsela ya go laeta 47.
47
8`_XhR]RUZaR]`\R^V_`]V^R_ef
a.
Ka tlase ga seswantÞo, ngwala nomoro ya masome le nomoro ya metÞo.
Ngwala nomoro gomme o e ngwale le ka mantÞu.
Masome
3
MetÞo
1
Masome
31
masometharotee
38
1
2
3
4
MetÞo
Masome
MetÞo
______
______
______
______
5
6
7
8
9
10
b.
2 0
Re ka kgona gape go ÞomiÞa dikarata tÞa rena
tÞa dinomoro go e laetÞa.
6
2 6
Palo
Ke masome a
makae?
MetÞo ye
mekae?
Ngwala dipalo ka mantÞu
26
2
6
Masomepeditshela
46
99
Nomoro ke efe?
3 0
5
3 5
Masome
MetÞo
3
5
masometharohlano
35
Masome
MetÞo
_______________
Masome
MetÞo
Teacher:
Sign:
_______________
11 12 13 14 15 16 17 18 19 20
Date:
39
19
Kotara ya 1 – Beke ya 5
Letatikgwedi:
Go bea madome mmogo ge
ce Ylakanya le 99
Go bala
Re na lesone le tee
Ye ke tsela e tee ya go
laetÞa 22.
Masome
MetÞo
Lesome 1
laetÞa 22.
Masome
MetÞo
Re na le metÞo
ye lesomepedi
Re tla bea 10
e le metÞo ka
dihlopha.
MetÞo 12
1 0
Bjale re na le tsela ye nngwe ya go
1 02
Masome 2
MetÞo 2
2 22
A re hlakanye 27 + 4. Re thoma ka diploko te ditalalerata tÞe e lego meto, gomme
re tlalele ta ka meto ye mehubedu
Re na le masome a 2 le
27 ke masome a 2 le tee tÞe 7 tÞa
botee. Gomme re hlakanya tee tÞe
4.
Masome
MetÞo
Masome 2
40
tÞe 7
+ tÞe 4
2 0
7
1
2
Bjale re na le
Masome a 3 + 1 tee tÞe 31
tee tÞe 11.
Masome
MetÞo
Masome
Re ka laetÞa metÞo ye 10 ye e emelago
lesome le tee
4
3
2 0 1 0
4
5
___+ ___= _____
3 11
1
6
MetÞo
7
8
9
10
?XhR]R]VW`\`aR]`]V`]V]RVUZehVX`\VdVdhR_eY`
Masome
MetÞo
10 + 5+ 6
Masome
MetÞo
___ + ___+ ___
Masome
MetÞo
___+ ___= _____
7V]V]VeRUZdhR_eY`?XhR]R^RW`\`aR]`R`R]RVehRX`\VdVdhR_eY`
Masome
MetÞo
Masome
MetÞo
Masome
MetÞo
Masome
MetÞo
Masome
MetÞo
Masome
MetÞo
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
41
20a
Letatikgwedi:
Kotara ya 1 – Beke ya 5
9lakanya mo go motYaloaalo
5f]ReVdV\V_XjRXRX`
Sekolong sa rena morutwana yo mongwe le yo mongwe o
na le teseke ya gagwe.
Go na le barutwana ba 46 ka go Mphato wa 3A le 24
ka go Mphato wa 3B.
Na re nyaka diteseke te kae ta diphapoi ka moka?
8``^R]V^`XhVcR
Lebelela ka fao barutwana ba ba diriitego mothalopalo go rarolla bothata. FeleletÞa dipalo o
ÞomiÞa mohlala.
+10
46
+10
56
+4
66
Ke swanete go
hlakanya 24 le
46.
70
Se ke seo ke se dirago: Ke thoma ka go hlakanya 10. Se se mphihliÞa go 56.
Gomme ka tshela 10 ye nngwe gore ke fihle go 66.
La mafelelo, ke tshela 4 gape go fihla go 70.
= 46 + 10 + 10 + 4
= 56 + 10 + 4
= 66 + 4
= 70
a.
42
32 + 25 =
1
2
3
4
5
6
7
8
9
10
b.
52 + 26 =
c.
46 + 25 =
+4
46
50
+20
70
Ke swanetÞe
go hlakanya
24 le 46.
Se ke seo ke se dirago: Sa mathomo ke tla tshela 4. Se se mphihlia go 50.
Nka kgona go tshela 20 gape, se se mphihlia go 70.
= 40 + 10 + 20
= 50 + 20
= 70
a.
36 + 41 =
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
43
20b
Letatikgwedi:
Kotara ya 1 – Beke ya 6
b.
57 + 19 =
+20
+4
46
66
Ke swanete
go hlakanya
24 le 46.
70
Se ke seo ke se dirago: Go tloga go 46, nka tshela 20. Se se mphihlia go
66. Bjale ke swanetÞe go tshela 4 gape ke fihle go 70.
= 46 + 20 + 4
= 66 + 4
= 70
44
a.
63 + 24 =
b.
65 + 29 =
1
2
3
4
5
6
7
8
9
10
?RX`_R]V^Rc`eY`R^R\RV0
Mopaki o romela marotho a matsotho a 54
le
marotho a maweu a 68.
Na ke marotho a makae ka moka?
a.
HwetÞa palomoka mo go mothalopalo. LaetÞa dinomoro le bogolo bja metabogo.
Hlakanya ka ntle le go ÞomiÞa mothalopalo.
ßomiÞa mokgwa wo mongwe le wo mongwe wo o o ratago.
38 + 24 =
58 + 17 =
75 + 16 =
83 + 29 =
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
45
21a
Letatikgwedi:
Kotara ya 1 – Beke ya 6
NtYa mo go motYaloaalo
>`cfehR_R`eVVCf]RVeVV
Barutwana ba nyaka dirula tÞe 53. Re na le tÞe 35 fela.
Na re nyaka te kae gape? 53 – 35 =
8``^R]V^`XhVcR
Bala ka fao barutwana ba bararo ba omiÞago mothalopalo mo tlase. Ngwala dipalo o latela mohlala.
11..
–2 –3
–10
18 20 23
–10
–10
33
43
Ke swanetÞe go ntÞha
35 go 53. Go ntÞha go
hlaloÞa go tÞea.
53
Bjale, ke tla thoma ka 53 gomme ka e tea. Ke tla tÞea 10, 10, 10 – se se
mphihlia go 23. Bjale go tea te hlano, ke tla thoma ka go tea 3, gomme ka
tla go 20. Ke tea te 2 go feta. Ke fihla go 18. Bjale re nyaka dirula te 18.
= 53 – 10 – 10 – 10 – 3 – 2
= 43 – 10 – 10 – 3 – 2
= 33 – 10 – 3 – 2
= 23 – 3 – 2
= 20 – 2
= 18
46
1
2
3
4
5
6
7
8
9
10
a.
68 – 24 =
b.
74 – 38 =
c.
92 – 87 =
–5
35
–3
40 43
Go ntha go hlaloa gore re
swanete go hweta phapano
magareng ga 53 le 35.
–10
53
Ke tla thoma go bala ka 53 gomme ka balela morago go fihla go 35 go hweta
phapano. Ge ke balela morago ka 10, ke hweta 43. Nka balela morago kudu ka
3 go fihla go 40. Bjale ke fokotÞa ka 5 gape go fihla go 35. 10 hlakanya le 3 le
hlano ke 18. Bjale re nyaka dirula te 18.
a.
38 – 14 =
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
47
21b
Kotara ya 1 – Beke ya 6
Letatikgwedi:
b.
65 – 43 =
c.
72 – 39 =
d.
85 – 48 =
+10
35
+5
45
+3
Go ntha go hlaloa
gore re hweta phapano
magareng ga 53 le 35.
50 53
Nka thoma ka 35 gomme ka lebelela gore nka tshela gakae go fihla go 53.
Lesome hlakanya le hlano le tharo ke 18. Re nyaka dirula te 18 gape.
a.
48
84 – 32 =
1
2
3
4
5
6
7
8
9
10
b.
96 – 53 =
c.
78 – 19 =
d.
63 – 47 =
8`dVaV]R\ReYV\ZdZ
Leeto la thekisi go ya toropong ke dikilometara te
65. Gabjale thekisi e sepete di km te 38.
Na re aletwe ke bokgole bjo bokaakang?
ßomiÞa mothalopalo go rarolla lefokopalo le.
Teacher:
Sign:
ka di km
km
11 12 13 14 15 16 17 18 19 20
Date:
49
22
Letatikgwedi:
Kotara ya 1 – Beke ya 6
Ke nako ya moletlo
AVR\R_j`jR^ReY`^`
Tumi o kgopela bagwera ba gagwe ka moka gore ba mo fe diswantÞho tÞa dijo tÞa
bona tÞa moletlo. Se, ke seo a se kgobokeditÞego. Mo thuÞe go di beakanya.
Bala, gape o bontÞhe gore ke bagwera ba bakae bao ba kgethilego mohuta wo mongwe
le wo mongwe wa sejo.
Nomoro
50
1
2
3
4
5
6
7
8
9
10
FeletÞa diswantÅho. ßomiÞa lenaeo la gago gore lego thuÞe.
Thalela ngwana yo mongwe le yo mongwe yo a kgethago mohuta wo wa dijo, sefahlego.
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
51
23
Letatikgwedi:
Kotara ya 1 – Beke ya 6
Go bala go WZYla ka 200
O bona diapola tÞe kae?
Ngwala dinomoro
Lepokisi le 1 le na le diapola tÅe
Mothalo o 1 o na le mapokisi a
. Mothalo o 1 o na le diapola tÅe
. Methalo ye 4 e na le diapola tÅe
.
.
Re ka paka dapola tÅe kae ka mapokising ao?
a.
b.
c.
Bala mo mothalopalong.
a.
Go ka ba le diapola tÅe kae ka mapokising a mahlano?
0
b.
20
30
40
50
60
70
80
90
100
80
90
100
Go ka ba le diapola tÅe kae ka mapokising a Åupa?
0
52
10
1
10
2
20
30
3
40
4
50
60
5
70
6
7
8
9
10
Dihlopha tÞe 3 tÞa 10 di dira–
3 × 10 = 30 goba 10 × 3 = 30
30
Dihlopha tÞe 5 tÞa 10 di dira–
×
=
goba
×
=
Dihlopha tÞe 2 tÞa 10 di dira–
×
=
goba
×
=
Dipara tÅe 5 tÅa maoto.
Menwana ke ye mekae ka palo?
10 + 10 + 10 + 10 + 10=
50
5× 10=
goba 10×5=
Dira tÅe ka wona mokgwa wo.
Diphere tÞe 4 tÞa maoto. Menwana ke ye mekae ka palo?
=
×
=
goba
×
=
×
=
Diphere tÞe 3 tÞa maoto. Menwana ke ye mekae mekae ka palo?
=
×
=
goba
A re baleng
10, 20, 30, 40, 50, ____, ____, ____, ____, ____,
Teacher:
Sign:
____, ____, ____, ____, ____, ____, ____, ____, ____, 200
11 12 13 14 15 16 17 18 19 20
Date:
53
24
Letatikgwedi:
Kotara ya 1 – Beke ya 6
:tYfte ka UZ 5
?R\VUZY]RaZeV\RV0Akanya
Bjale bala dihlapi. HwetÅa palomoka.
3R]R\RUZ&
Hweta palomoka ya mae a hlapi. Ngwala mothalopalo wa + le wa × .
Re go direte ya mathomo.
Dihlapi le mae
Na go na le dihlapi te kae ka moka?
Dihlapi te 5, ye nngwe le ye nngwe
2 + 2 + 2 + 2 + 2 = 10
e bea mae a 2
5 × 2 = 10
Dihlapi te 5, ye nngwe le ye nngwe
e bea mae a 10
Dihlapi te 5, ye nngwe le ye nngwe
e bea mae a 4
Dihlapi te 5 ye nngwe le ye nngwe
e bea mae a 3
Dihlapi te 5, ye nngwe le ye nngwe
e bea mae a 6
Dihlapi te 5, ye nngwe le ye nngwe
e bea mae a 8
Dihlapi te 5, ye nngwe le ye nngwe
e bea mae a 5
54
1
2
3
4
5
6
7
8
9
10
25a
Letatikgwedi:
Kotara ya 1 – Beke ya 7
Bala ka UZ 2
8`SR]R^Rd`\ZdZ
56
a.
Na go na le diphere tÞe kae tÞa masokisi? ____________
b.
Na go na le masokisi a makae? ____________
c.
Na go na le masokisi a a VeVX`0 _____________
1
2
3
4
5
6
7
8
9
10
8`SR]RUZaRcReR^Rd`\ZdZ
Ngwala palo ya masokisi ao a lego mo gomme o bolele ge eba a mangwe a ete.
Masokisi
Palo ya
diphere
Palo ya
masokisi
Masokis a a sepelago
a le noÞi a a ÞetÞego.
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
57
25b
Letatikgwedi:
Bala ka UZ 2 (tÞwetÞoaele)
Kotara ya 1 – Beke ya 7
8`S`aRUZaYVcV
Ngwala dipalotekanelo go tloga go 0–60.
a.
Ngwala dipalotekanelo go tloga go 1 – 40.
2, 4, 6,
____________________________________________________________
____________________________________________________________
b.
Ngwala dipalotlhokatekanelo go tloga go 1 – 40.
3, 5, 7,
____________________________________________________________
____________________________________________________________
Ditlhokatekanelo le ditekanelo.
64
Thala sediko mo go dipalotekanelo.
46
Thalo sekwere go dikologa
dipalotlhokatekanelo.
81
121
32
38
207
40
58
1
2
3
4
5
6
7
8
9
10
8`e]`XRX`UZaYVcVX`jRX`^Rd`\ZdZ
Mohlala:
Masokisi a 2 = phere 1
Masokisi a 20 = diphere tÞe 10
2×1=2
2 × 10 = 20
Ngwala aalo ya madokZdZ
Nagana ka di 2
Lefokopalo
phere 1
= masokisi 2
2
×
1
=
diphere 2
= masokisi _____
2
×
2
=
diphere 4
= masokisi _____
diphere 8
= masokisi _____
diphere 9
= masokisi _____
2
7eleleta metYaloaalo
>oYlala+
2 + 2 + 2 = 6 goba 3 × 2 = 6
0
2
4
6
8
10
2+ 2+ 2+ 2+ 2+ 2+ 2=
12
14
16
×
goba
18
20
=
Teacher:
Sign:
Date:
0
2
4
6
8
10
12
14
16
18
20
11 12 13 14 15 16 17 18 19 20
59
26
Letatikgwedi:
Kotara ya 1 – Beke ya 7
TÞYelete ya kgale le ya gonabjale
<R_VXV]`\RXReYV]VeVjRcV_R
Mo Afrika-Borwa re ÞomiÞa diranta le disente bjalo ka tÞhelete ya rena. Re thomile go ÞomiÞa
diranta le disente ka 1961.
MatÞatÞing ao khoine ya sente e 1 e be e le ye nnyane, gwa latela disente tÞe 2 le disente tÞe 5.
Ee, o bolela
nnete, ga di sa
tÞweletÞwa!
Ke ÞomiÞitÞe dikhoine tÞe
nnyane go patela dilo tÞe
dintÞi. Dilo di be di tÞhiphile
mehleng yeo!
EupÞa, Koko,
ga se nke ke
bone dikhoine
tÞa sente e 1
le tÞe 2.
Mengwaga ye 50 ya
go feta re be re omiÞa
diponto, diÞeleng le dipeni.
60
1
2
Ee, ke a gopola! Ponto e 1 e
be e le diÞeleng tÞe 20,
gomme Þeleng e 1 e be e le
dipeni tÞe 12.
3
4
5
6
7
8
9
10
3R]RUZdV_eV
Bala disente.
Na o na le disente tÞe kae?
Na go nyakega bokae go dira R1,00?
Di thale ka gare ga ploka.
?R\VUZdV_eVeV\RV0
R1,00 =
c
R2,00 =
c
R3,00 =
c
R1,50 =
c
DVV_jhRdVSZeRS`\RV0
2
theko ke R4,00.
Na o hwetÞa dipanana te kae ka R20,00?
2
theko ke R2,00.
Na o hwetÞa diapola tÞe kae ka R9,00?
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
61
27
Letatikgwedi:
Kotara ya 1 – Beke ya 7
Bala ka UZ 3
>R`ehR_R\RUZ$
Paesekele e 1 ya maotwana a mararo e na le maotwana a ____.
Dipaesekele tÞe 5 tÞa maotwanatharo di na le
maotwana a ________.
3 + 3 + 3 + 3 + 3 = 5 × 3 = ______
Dipaesekele tÞe 2 tÞa maotwanatharo di na le
maotwana a ________.
3 + 3 = 2 × 3 = ______
Dipaesekele tÞe 4 tÞa maotwanatharo di na
le________maotwana.
Dipaesekele tÞe 6 tÞa maotwanatharo di na le
maotwana a ________.
Dipaesekele tÞe 9 tÞa maotwanatharo di na le
maotwana a ________.
Dipaesekele tÞe 8 tÞa maotwanatharo di na le
maotwana a ________.
>VeYR]`aR]`
Latela mohlala.
0
3
6
9
a. 3 + 3 + 3 + 3 =
62
1
2
12
15
18
21
24
27
30
=4×3=
3
4
5
6
7
8
9
10
b.
0
3
6
9
3+ 3+ 3+ 3+ 3=
12
15
=
18
×
21
24
27
30
21
24
27
30
=
c.
0
3
6
9
12
15
18
=
=6×3=
d.
0
3
6
9
12
15
18
21
=
24
27
30
= 10 × 3 =
5ZaRVdV\V]V]VUZaRVdV\V]VeR^R`e`R^RcRc`
Lebenkeleng la dipaesekele Tumi o bala maotwana a dipaesekele le a dipaesekele
tÞa maotwana a mararo:
Palo ya maotwana ka moka ke 14.
Na go na le dipaesekele tÞe kae? _________
Na go na le dipaesekele tÞe kae tÞa maotwana a mararo? _________
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
63
28
Letatikgwedi:
Kotara ya 1 – Beke ya 7
Na ke eng deo de tÞwelelago
ka UZ 4?
DZntlYa tÞe UZngwe tÞa
nomoco ya % s
% % . ), # ª % . )
>R`ehR_RR^R_V
Maoto a kgomo ke a 4.
Na ke eng gape seo se tÞwelelago ka di 4? _____________________________
BontÞhanang dikarabo.
8`SR]R^R`e`
Efa tlhaloÞo ya seo o se
dirilego.
ßomiÞa tsebo ye-o nago le yona ka di 4 gore o arabe dipotÞiÞo tÞe.
64
kgomo e 1
maoto a
dikgomo te 3
maoto a
dikgomo tÞe 5
4
dikgomo tÞe 2
maoto a
dikgomo tÞe 4
maoto a
maoto a
dikgomo tÞe 6
maoto a
dikgomo tÞe 7
maoto a
dikgomo tÞe 8
maoto a
dikgomo tÞe 9
maoto a
dikgomo tÞe 10
maoto a
1
2
3
4
5
6
7
8
9
8
10
FeleletÞa lenaneo la ka tlase. ßomiÞa mohlala go go hlahla.
Dikgomo tÞe 3 di na le maoto a____ .
4 + 4 + 4 = 4 × 3 = ______
12
Dikgomo tÞe 3 di na le maoto a____ .
Dikgomo tÞe 3 di na le maoto a____ .
Dikgomo tÞe 3 di na le maoto a____ .
Dikgomo tÞe 3 di na le maoto a____ .
>VeYR]`aR]`
Feleleta tÞe di latelago gomme o di laetÞe mo go mothalopalo
a.
0
4
8
12
16
20
=
24
28
32
36
40
32
36
40
= 5×4=
b.
0
4
8
12
16
20
=
24
28
= 9×4=
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
65
29
Letatikgwedi:
Kotara ya 1 – Beke ya 8
DZaatcone ka UZnomoco
5ZaRec`_VeR\cZeZ
Na ke patrone ya nomoro efe yeo e dikaneditÞwego go kriti ye nngwe le ye nngwe ya 100.
Dira didiko tÞe dintÞi go feleletÞa patrone ye nngwe le ye nngwe.
Ngwala leina la patrone ye nngwe le ye nngwe.
a.
c.
Patrone: ___________________
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
Patrone: ___________________
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
66
¢
¢
¢
¢
Patrone: ___________________
d.
¢
¢
¢
Patrone: ___________________
b.
¢
¢
¢
¢
¢
¢
1
2
3
4
5
6
7
8
9
10
8`ZeZcV]RaRec`_VjRXRX`
a. Go patrone ye ya nomoro, dinomoro ka moka ke dipalotekano. Na dinomoro tÞe dingwe ke dife?
Di ngwale.
74
b. Go patrone ye ya dinomoro, dinomoro ka moka ke dipalohlokatekano. Na dinomoro tÞe dingwe ke
dife? Di ngwale.
65
?R\VeR^`\RV0
48
32
12
36
40
84
45
90
80
15
24
72
150
75
Patrone ya di 3 le di 4
Patrone ya di 3 le di 5
Patrone ya di 4 le di 5
Mohlala: 48
Lewatle
Molelo o kgoboketÞa dikgapetla tÞa dikgopana tÞa lewatle
tÞa magareng ga 60 le 70. O di bala ka di 3. O na le e
1 yeo e ÞetÞego. O di bala ka di 5. O na le tÞe 4 tÞeo di
________
ÞetÞego.
Sign:
________
Date:
Na ke dikgapetla tÞe kae tÞa dikgopana tÞa
lewatle tÞeo Molelo a nago le tÞona?
11 12 13 14 15 16 17 18 19 20
Teacher:
67
30a
Letatikgwedi:
Kotara ya 1 – Beke ya 8
Go acola
Abaganya malekere:
a.
Abaganya malekere a 30 magareng ga bana ba 2.
Re ka e ngwala bjale
b.
c.
68
30 ÷ 2 = 15
Abaganya malekere magareng ga bana 3.
÷
=
÷
=
Abaganya malekere magareng ga bana 5.
1
2
3
4
5
6
7
8
9
10
Re ka ÞomiÞa dibloko tÞa dinomoro go dira karolo.
2 8
÷
2
=
÷
3
=
4
=
1
4
Bjale dira tÞe:
a.
b.
Teacher:
÷
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
69
30b
Letatikgwedi:
Kotara ya 1 – Beke ya 8
ßomiÞa methalopalo go ngwala lefokopalo la go ntÞha le la go arola.
0
2
4
6
8
10
12
14
16
18
20
16 – 2 – 2 – 2 – 2 – 2 – 2 – 2 – 2 = 0
16 ÷ 2 = 8
a.
0
3
6
9
12
15
18
21
24
27
30
12
16
20
24
28
32
36
40
15
20
25
30
35
40
45
50
21 –
÷
=
b.
0
4
8
28 –
÷
=
5
10
÷
=
c.
0
___ –
70
1
2
3
4
5
6
7
8
9
10
Thala mothalopalo gomme o e rarolle.
a.
30 ÷ 5 =
b.
22 ÷ 2 =
c.
27 ÷ 3 =
d.
32 ÷ 4 =
e.
25 ÷ 5 =
Tlhohlo
LaetÞa mekgwa ka moka yeo
o ka aroganyago malekere a
24 ka go lekana magareng
ga dihlopha tÞa bana.
Ngwala lefokopalo go laetÞa
karabo ya gago.
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
71
31
Letatikgwedi:
Kotara ya 1 – Beke ya 8
DZaaloaYatlo
EYR]R^VeYR]`X`_jR]R_jRUZS`aVX`]VUZaR]`aYRe]`
1
3 Teetharong
1
5 Teetlhanong
3
4 Tharonneng
4
5 Nnetlhanong
1
4 Kotara
1
2 Seripagare
1
2
3 Peditharong
Tee
Arola gomme o khalare:
1
2 Seripagare
1
3
Teetharong
1
4 Kotara
1
5 Teetlhanong
1
4 Kotara
1
5 Teetlhanong
LaetÞa________ ya malekere.
1
2 Seripagare
72
1
2
1
3 Teetharong
3
4
5
6
7
8
9
10
Abaganya dibaledi gare ga bana ba babedi.
-
-
-
-
-
-
-
-
ƒ Re hweditÞe dibaledi ƒ Re hweditÞe dibaledi ƒ Re hweditÞe dibaledi ƒ Re hweditÞe dibaledi
tÞe 2 yo mongwe le
tÞe __ yo mongwe
tÞe __ yo mongwe
tÞe __ yo mongwe
yo mongwe.
le yo mongwe.
le yo mongwe.
le yo mongwe.
ƒ ½ ya dibaledi tÞe 4 ƒ __ ya dibaledi tÞe ƒ __ ya dibaledi tÞe ƒ __ ya dibaledi tÞe
ke 2.
__ ke __.
__ ke __.
__ ke __.
4÷2=2
___ ÷ ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___
Abaganya malekere magare ga bana.
- - - -
ƒ
ƒ
ƒ
ƒ
¼ malekere = 3
¼ malekere = 6
¾ malekere = 9
¼ malekere = 12
2
4
-
ƒ
ƒ
ƒ
1
3
2
3
3
3
-
-
malekere = ___
malekere = ___
malekere = ___
-----
ƒ
ƒ
ƒ
ƒ
ƒ
1
5
2
5
3
5
4
5
5
5
malekere = ___
malekere = ___
malekere = ___
malekere = ___
malekere = ___
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
73
32
Letatikgwedi:
Kotara ya 1 – Beke ya 8
Ka ga nako
<RX`]R^^RX`[R
Re ka ngwala nako ka mekgwa ya go fapana.
2:15
5:30
9:45
kotara go tÞwa go iri ya
bobedi
seripagare go tÞwa go iri
ya bohlano
kotara go ya go iri ya
lesome
Ngwala dinako tÞe ka ditsela tÞa go fapafapana.
74
_____________________
_____________________
_____________________
_____________________
_____________________
_____________________
1
2
3
4
5
6
7
8
9
10
8`jRXRV
Na Maremo o tÞea sebaka se sekaakang go fihla gae?
Metsotso ye
Diiri tÞe
Maremo o tloga sekolong.
Maremo o fihla gae.
?R\`VRW`WR
Nako ka bo 2 …
Ga na le metsotso ye mekae ...
ka gare ga diiri tÞe 2 ?
__________
diiring tÞe kae 2?
__________
gao matati makae dibekeng tÞe 2?
__________
tÞe dikgwedi kae mengwageng ye 2?
__________
Moranang
?RX`_R]V^ReReZR^R\RV0
Moranang 27 ke LetÞatÞi la Tokologo.
Mopitlo
M
T
W
T
F
S
S
1
2
3
4
5
6
7
8
9
10
11
12 13 14
M
6
T
7
Mosegamanye
W
T
F
S
S
1
2
3
4
5
8
9
10
11
M
T
W
T
6
F
7
S
S
1
2
8
9
12
3
4
5
15 16 17 18 19 20 21
13 14 15 16 17 18 19
10
11
12 13 14 15 16
22 23 24 25 26 27 28
20 21 22 23 24 25 26
17 18 19 20 21 22 23
29 30
27 28 29 30 31
24 25 26 27 28 29 30
Mosegamanye 16 ke LetÞatÞi la Bafsa.
a.
Go tloga ka LetÞatÞi la Tokologo go fihla ka LetÞatÞi la Bafsa go na le dikgwedi
tÞe _____ dibeke tÞe_____ ka moka le matÞatÞi a _____.
b.
Na ke dibeke tÞe kae ka moka? _____
Na go ÞetÞe matÅatÞi a makae? _____. Na ke matÞatÞi a makae ka moka? _____.
c.
LetÞatÞi la matswalo a Lebo le tla matÞatÞi a 7 pele ga LetÞatÞi la Tokologo.
LetÞatÞi la Bohlale la matswalo le tla matÞatÞi a mabedi ka morago ga LetÞatÞi la Bafsa.
Na yo mogolo ke mang? __________
Ka matÞatÞi a makae?_____
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
75
33
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 1
Selebanywa ke 200
Go bala dinomoro
200
Bala gomme o bolele dinomoro ka moka go tloga ka 101 go
fihla go 200. Di Þupe o le gare o tÞwela pele.
101 102
111
121
131
149
154
165
173
180
181
186
198
200
Go ngwala dinomoro
a.
Ngwala nomoro ye e sego gona ka gare ga sekwere se sengwe le se sengwe se setalalerata.
b.
Ngwala dinomoro ka moka.
c.
Ngwala dinomoro tÞe 10 tÞeo di tlago ka morago ga 200.
200; _____; _____; _____; _____; _____; _____; _____; _____; _____; _____
76
1
2
3
4
5
6
7
8
9
10
?XhR]RUZ_`^`c`eVUZe]`XVehVX`
a. 200
180
b.
87
107
167
110
207
50
0
237
FeleletÞa
Ngwala dinomoro ka tatelano ya
go tloga ka tÞe nnyane go fihla
ka tÞe kgolo.
_______
200 +
30
+ 5 = 235
200 +
40
+ 7
200 +
60
+ 8 = ______
_______
+
+
= 293
_______
+
+
= 256
= ______
_______
_______
Go bala go tloga ka 100
HweÞa gore go nyakega nomoro efe gore o fihle go nomoro ye e latelago.
Thona
100
+25
125
129
138
Teacher:
Sign:
FetÞa
168
157
151
145
11 12 13 14 15 16 17 18 19 20
Date:
77
34
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 1
Go Þoma ka dihlopha tÞa dinomoro
Go paka dikerese
MmaMotau o Þoma femeng ya dikerese.
Ge dikerese di lokile, o di paka ka tsela ye ka gare ga ditherei ka dirakeng.
Na go na le dikerese tÞe kae ka gare ga therei ye nngwe le ye nngwe? _________
Na go na le ditherei tÞe kae ka gare ga raka ye nngwe le ye nngwe? __________
Na go na le diapola tÞe kae ka gare ga raka ye nngwe le ye nngwe? ___________
78
1
2
3
4
5
6
7
8
9
10
Mapokisi a dikerese
MmaMotau o tswalela mapokisi.
a.
Bala mapokisi ka moka.
Na ke tÞe kae? ______
Na ke dikerese tÞe kae ka moka? ______
Na go nyakega mapokisi a makae go dira palo ya dikerese tÞe 60? ______
b.
c.
Na go na le dikerese tÞe kae ka gare ga:
Mapokisi a 2? _________'
Mapokisi a 4? _________ '
Mapokisi a 5? _________ '
Mapokisi a 3? _________ '
Mapokisi a 6? _________ '
Mapokisi a7? _________ '
O sa nyaka mapokisi a makae a:
40 ' _________ mapokisi
70 '_________ mapokisi
50 ' _________ mapokisi
30 ' _________ mapokisi
Teacher:
11 12 13 14 15 16 17 18 19 20
Sign:
Date:
79
35a
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 1
Go bea masome mmogo le go
a arogantÅha
Go bea masome mmogo ge re hlakanya le 999
A re hlakanye
56 + 73 =
+
masome a 5 le metÞo ye 6
bo 100
masome a 7 le metÞo ye 3
bo 10
bo 1
Ge re di kopanya ka bobedi re hwetÞa masome a 12.
Re ka bea masome a 10 mmogo go dira lekgolo le 1.
80
1
2
3
4
5
6
7
8
9
10
A re lekeng.
Mohlala: 82 + 34
=
le
=
100 + 20 + 6 = 126
a.
65 + 52
b.
76 + 63
c.
86 + 65
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
81
35b
LetÞatÞikgwedi:
Bea dihlopha mmogo
Kotara ya 2 – Beke ya 1
ßomiÞa mapokisana a gago a kemapalo.
ßomiÞa diploko tÞa
kemapalo go dira dipalo
tÞe pedi tÞe.
Na ka moka.
Ke masome a mekae?
Ke di 1 tÞe kae?
Na o hlophile ka masome goba ka di-1?
Lekola kemapalo yeo o e hlophilego gape.
Ngwala
karabo.
_____ masome
11 masome + 12 metÞo
_____ metÞo
= 110 + 12
_____ masome
38 + 25 =
_____ metÞo
_____ masome
77 + 31 =
_____ metÞo
_____ masome
68 + 45 =
_____ metÞo
_____ masome
83 + 47 =
_____ metÞo
8`Rc`]R^Rd`^VXVcV_eYR
23 + 99 =
122
Ge re ntÞha, ka nako tÞe dingwe re swanetÞe go laetÞa lesome le tee
bjalo ka di-1 tÞe lesome, goba lekgolo le tee bjalo ka masome a 10.
A re ntÞheng: 60 – 55 =
e thoma ka di 10 tÞe tshelelago gomme ga go na metÞo. Re nyaka go ntÞha di 10 tÞe hlano le
metÞo ye mehlano. (TÞeo re di ntÞhago re di khalara ka mmala wo mopududu)
Re ka kgona go laetÞa di 10 tÞe
tshelelago ka tsela ye..
Goba di 10 tÞe hlano le metÞo
ye lesome.
NtÞha di 10 tÞe hlano le metÞo ye mehlano.
Go Þala metÞo ye mehlano.
60 – 55 = 5
82
1
2
3
4
5
6
7
8
9
10
A re lekeng.
a.
70 – 28
7 masome
b.
90 – 46
c.
80 – 53
70 – 28 =
6 masome le 10 metÞo
42
8`YhVeRaYVcVjRUZ_`^`c`
a.
200
b.
30
c.
200
70
200
d.
200
Teacher:
105
85
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
83
36
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 1
Go etela ngaka ya meno
Sehlopha sa bana se etela ngaka a meno.
Na o hlapa meno a gago
gakae ka letÞatÞi?
= ga 1
Se ke seo bana ba mmotÅago sona.
üüüüüüüüü
üüüüüüüüüüüüüü
üüüüü
a.
Bala maswao (ü) ao a laetÞago gore bana ba hlapa meno ka tatelano ya mohuta mang
Gatee ka letÞatÞi
Gabedi ka letati
Gararo ka letÞati
b.
Na o ka bolela eng?
Bana ba bantÞi ba hlapa meno ga __________ ka letÞatÞi.
Go na le bana ba ______ ka gare ga sehlopha.
84
1
2
3
4
5
6
7
8
9
10
Thala seswantÞho sa go laetÞa gore bana ba hlapa meno a bona gakae ka
letÞatÞi.
= Nako ye kae
Dira dinyakiÞiÞo ka klaseng ya gago. BotÞiÞa barutwana ba 15–20.
a. Ba hlapa meno gakae ka letÞatÞi? __________
Teacher:
Sign:
b. Thala mongwalo wa diswantÞho wa go swana le wa ka godimo e le go
laetÞa dikhwetÞo tÞa gago.
11 12 13 14 15 16 17 18 19 20
Date:
85
37a
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 2
Hlakanya o be o ntÞhe
?XhR]RUZaR]`eRXRX`
Tumi o kgona go hlakanya ka dinomoro tÞa di 1 le tÞa di 10 le go di hlopha ka lefsa.
a.
O kgona go hlakanya le go ntÞha godimo ga letlakala, ntle le go diriÞa
mapokisana. Ka nako ye nngwe o rata go thoma ka dikarata tÞa gagwe
tÞa dinomoro go laetÞa dinomoro.
O e ngwala ka tsela ye:
Go palo ya 56 + 73, o hwetÞa dikarata tÞe:
50 + 70 + 6 + 3
= 50 + 70 + 9
5 0 6 + 7 0 3
= 120 + 9
= 100 + 20 + 9
O hlakanya ka dinomoro tÞa di 1 gomme a
= 129
bea karata ya 9 fase.
9
O tseba: 50 + 70 = 120.
O tÞea dinomoro tÞa di 100, tÞa di 20 le karata ya di 9
1 0 0
2 0
go bopa palo ya dipalotee tÞe 3
9
Dumi o tseba ka mo dibloko
di Þomago:
Ackar o rata go feleletÞa.
Þa.
50 + 6 + 70 + 3
Ye o e dira ka tsela ye:
56 + 73
86
120 + 9
= 50 + 70 + 10 – 1
= 129
= 130 – 1 = 129
1
2
3
4
5
6
7
8
9
10
Dira ye nngwe le ye nngwe ka ditsela tÞe pedi.
a.
86 + 62
Mokgwa wa Tumi
Mokgwa wa Dumi
80 + 60 + 6 + 2
80 + 6 + 60 + 2
b.
72 + 63
c.
81 + 57
U '*(" `^ZR^`\XhRhR2T\Rc`UZcVjV
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
87
37b
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 2
Bjale a re nthe.
a.
88
87 – 53
Mokgwa wa Tumi
Mokgwa wa Dumi
80 – 50 + 7 – 3
80 + 7 – 50 + 3
= 30 + 4
= 30 + 4
= 34
= 34
b.
95 – 73
c.
86 – 62
d.
85 – 69
1
2
3
4
5
6
7
8
9
10
E rarolle!
Go na le mekgwa ye mentÞi ya go hlakanya metÞo le masome mmogo. Kgetha mokgwa wo o o
tsebago gomme o o rata go feta go rarolla dipalo tÞe. BontÞha moÞomo wa gago.
a.
Rati o fula diperekisi tÞe 34 gomme ka morago diperekisi tÞe 67.
Ke diperekisi tÞe kae ge di hlakana?
b.
Bana ba Makakase ba boloka R47 mmogo.
Mmagobona a oketÞa ka R58. Na bjale ba na le bokae?
c.
Pese ya sekolo e tÞea leeto la 88 km mo mesong le 73 km ka meriti.
Ke dikolometara tÞe kae ge di hlakana?
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
89
38
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 2
E rarolle!
5Z\Yfcf^V]`eR^RS`e]V]`
O ka ÞomiÞa mokgwa wo o o ratago. LaetÞa
moÞomo wa gago.
Mpho
ReabetÞwe
Mpho o bala dikhurumelo tÞa mabotlelo tÞe 87. ReabetÞwe o bala tÞe 94.
Sipho o bala ditswalo te dingwe te kae?
Khonsata ya sekolo
Tumi
Tumi o rekiÞa dithekete. O thomile go rekiÞa dithekethe tÞe 92. O ÞetÞe ka tÞe 67.
Na Tumi o rekiÞitÞe dithekethe tÞe kae ka moka?
90
1
2
3
4
5
6
7
8
9
10
8`Ze]hRVeR^`X`_XhVXRaV
Go na le matsuana a 69 ka hokong e tee gomme a
95 ka go ye nngwe. Na ke motsuana a makae ka moka?
Na go rekiÞitÞwe motsuana a makae ka moka?
Bala ka fao Rati le Phuki ba rarollago lefokopalo.
Tsela ya Rati
60 + 90 + 9 + 5
= 100 + 50 + 14
= 150 + 10 + 4
= 164
Na o a tseba gore
ke ka lebaka la eng
a ntÞha?
Tsela ya Ackar
69 + 95
= 70 + 95 – 1
= 70 + 90 + 5 – 1
= 160 + 4
= 164
a. BaÞemane ba kgoboketÞa R96 ya leeto la phapoÞi. Basetsana ba kgobokeditÞe
79. Na baÞemane ba kgobokeditÞe bokae? Ba kgobokedite bokae mmogo?
ßomiÞa mokgwa wa Rati
ßomiÞa mokgwa wa Ackar
b. Sekolo se setee se kgoboketÞa dikilogramo te 76 ta dithini. Sekolo se sengwe
se kgoboketÞa dikilogramo te 68 tÞa dithini. Na ke di kg tÞe kae tÞa dithini
tÞeo dikolo tÞe pedi di di kgobokeditÞego?
ßomiÞa mokgwa wa Rati
ßomiÞa mokgwa wa Ackar
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
91
39
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 2
Bala o be o balele
8`YhVeR\Rc`]`
Ngwala dinomoro tÞeo di sego gona.
a.
b.
100
27
e.
43
g.
200
140
d.
100
39
f.
200
c.
100
56
h.
200
110
100
200
135
120
Balela morago go fihla go 100
Ntha dipalo ta ka go pinki ka dinako tohle.
Ngwala dinomoro o le gare o sepela.
220
– 15
205
– 10
–5
– 20
–5
–5
– 20
– 15
– 10
–5
– 10
92
1
2
3
4
5
6
7
Ye ke tsela
ye bonolo ya go
lekola dikarabo
tÞa gago!Thoma
ka 100. Balela
morago go fihla
ka 220.
Bjale, oketÞa
dinomoro.
100
8
9
10
40
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 2
Go ela ka disentimetara
Na bogolo bja sentimetara ke bjo bo kaakang?
|
|
|
|
|
|
|
|
|
|
1
2
3
4
5
6
7
8
9
|
Dinomoro tÞeo di lego go rula di emetÞe disentimetara.
Re ÞomiÞa khutsofatÞo goba leswao la sm.
Ge o ÞomiÞa rula, o swanetÞe go thoma go ela go tloga ka 0.
Dirula tÞe dingwe ga di laetÞe 0 bjalo ka yeo e lego letlakaleng le.
HwetÞa sm ya lefeela go rula. Ngwala 0 go rula.
Na disentimetara tÞe 10 di kae go rula ye? Ngwala 10 moo.
AkanyetÞa, ke moka o mete ka nepo ka rula ya gago, palomoka ya botelele bja
methalo ye ka cm.
a.
b.
a. AkanyetÞa
Meta
94
1
2
c.
cm b. AkanyetÞa
cm c. AkanyetÞa
cm
cm
cm
cm
3
Meta
4
5
6
7
Meta
8
9
10
Na mothaladi wo mongwe le wo mongwe ke wo mokae ka botelele?
Na mothaladi wo mongwe le wo mongwe o ke wo mokae ka botelele?
ßomiÞa monwana wa gago gore o go thuÞe go tÞea sephetho.
a.
cm
d.
cm
b.
cm
e.
cm
c.
cm
f.
cm
Na o na le nnete?
Ke efe ye telele, mothaladi wo mohubedu goba wo motala?
Na o ka lekola bjang?
Se se bitÞwa go leantÞha mahlo. Se se direga ge mahlo a
gago a bona selo seo se sego gona. Methaladi ye mebedi e
na le botelele bja go lekana. Marumo ao a lebilego ka gare
a dira gore mothaladi wa marumo wao a Þupilego ka ntle a
dire gore mothaladi o lebelelege o le wo motelele kudu.
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
95
41
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 3
Selebanywa 300
Go bala le go ngwala ka di-200
300
Bala go tloga ka 201 go fihla ka 300.
ßupa o le gare o sepela.
Bjale ngwala dinomoro tÞe talalerata pele.
Ngwala dinomoro ka moka.
201
207
210
211
221
231
249
254
265
273
280
281
286
298
300
Ngwala dinomoro tÞe 10 tÞeo di tlago ka morago ga 300.
300; _____; _____; _____; _____; _____; _____; _____; _____; _____; _____
96
1
2
3
4
5
6
7
8
9
10
Motabogo ke eng?
301
281
171
211
101
8`S`_eYR]VX`SRaVeR
a.
Ngwala dinomoro te di tsenago ka go karata ye nngwe le ye nngwe.
298;
208;
301;
276;
227;
269;
311
200
90
8
b.
Ngwala dinomoro ka go latelana go tloga go ye nnyane go ya go ye kgolo.
_______; _______; _______; _______; _______; _______; _______
?RaYVe`X`\VV_X0?XhR]RUZ_`^`c`eVUZe]`XVehVX`
Thoma
200
+25
225
237
249
Teacher:
Sign:
FetÞa
300
286
278
261
11 12 13 14 15 16 17 18 19 20
Date:
97
42
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 3
Go hlakanya le go arola ka di 100
8``^ZRUZS]`\`X`Y]R\R_jR
+
1 0 0
3 0 4
=
2 0 0
=
2 7 7
1 0 0
+
7 0
4 0 3
7
Lebelela mekgwa ye mebedi. BontÞha karabo ye nngwe le ye nngwe
we
eddi.
ka mekgwa ye mebedi.
a. 132 + 123
Mokgwa wa Tumi
Mokgwa wa Dumi
M
132 + 123
= 100 + 100 + 30 + 20 + 2 + 3
= 200 + 50 + 5
= 200 + 50 + 5
= 255
b. 114 + 162
98
1
= 255
2
3
4
5
6
7
8
9
10
c.
276 + 148
Lebelela mekgwa gomme o ntÞhe.
a.
158 – 146
Mokgwa wa Tumi
Mokgwa wa Dumi
= 100 – 100 + 50 – 40 + 8 – 6
158 – 146
= 0 + 10 + 2
= 0 + 10 + 2
= 12
= 12
b.
194 – 122
c.
288 – 199
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
99
43
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 3
Selebanywa 400
Go bala le go ngwala di 400
400
Bala go tloga go 300 go ya go 400.
Bolela dinomoro ge o dutÞe o tÞwela pele.
Ngwala dinomoro tÞe di tlogetÞwego mo go kriti.
301
310
315
330
331
335
249
365
368
273
390
400
Ngwala dinomoro tÞe 9 tÞe di tlago ka morago ga 400.
400; _____; _____; _____; _____; _____; _____; _____; _____; _____;
100
1
2
3
4
5
6
7
8
9
10
Phetogo ke eng?
a.
Go balela pele go tloga go 300
Thoma
300
+10
+10
+10
+10
+10
FetÞa
b.
+10
+10
Bala go tloga go 400
Thoma
400
–10
–10
–10
–10
–10
–10
–10
–10
–10
–10
–10
FetÞa
?XhR]RS[R]`\R_`^`c`VeVV
300 + 20 + 4 = ________
300 + 10 + 5 = ________
300 + 50 + 3 = ________
300 + 70 + 7 = ________
300 + 60 + 2 = ________
300 + 90 + 9 = ________
300 + 80 + 1 = ________
300 + 40 + 8 = ________
Ngwala dinomoro ka go latelana go tloga go ye nnyane go ya go ye kgolo.
_______, _______, _______, _______, _______, _______, _______, _______
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
101
44
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 3
Go kala
Ke tseba nomoro yeo e
kgethilwego!
A na o a e tseba?
Nomoro yeo e kgethilwego
Hlakanya o be o ngwale dikarabo.
97
78
96
+ 14
84
+5
66
94
Nagana ka
bohlale!
9hVeRaR]`^`\RX`^^V`Y]R\R_jV
Phukubje 25 kg
Khudu 98 kg
TÞhwene 59 kg
Namane ya Pitsi 88 kg
Phelikene 9 kg
HwetÞa palomoka ya boima bjo bja phoofolo bjo bongwe le bjo bongwe bja nomoro ya kgauswi le 10 kg.
___________________________________________________________________
Ngwala boima ka moka ka tatelano go tloga ka tÞe bofefo go ya go tÞe boima.
___________________________________________________________________
Akanya palomoka ya boima bja diphoofolo tÞe 5.
___________________________________________________________________
102
1
2
3
4
5
6
7
8
9
10
<`aR_jRS`Z^RS[Re`_R
Dikgato
ƒ ßomiÞa dipalomoka tÞeo o di hweditÞego.
ƒ Akanya boima bja diphoofolo tÞeo di lego mothalong wo mongwe le wo mongwe.
ƒ HwetÞa palomoka.
ƒ BapetÞa dipalomoka tÞe pedi gomme o ngwale pharologano.
Ke a akanya
Ke a bala
Pharologano
+
+
+
+
+
Lekola. BapetÞa. PhoÞolla.
Boima bja Lesiba
Lesiba o hlakanya boima bja gagwe le boima bja
le bja
.
Palomoka ya boima bja gagwe le bja tÞona ke 239 kg. Na Lesiba o imela bokae?
LaetÞa karabo ya gago.
Na ke imela bokae?
Bapalang ka dihlopha. ßielanang.
Hlakanya boima bja gago le boima bja diphoofolo tÞe dingwe. HwetÞa
palomoka. Efa karabo ya gago go sehlopha. O se ke wa ba bontÞha
moÞomo wa gago! Ba swanetÞe go iteka gomme ba Þomane ka boima bja
gago.
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
103
45
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 4
Selebanywa 500
Bala o be o ngwale
400
500
401
405
410
411
420
422
427
434
446
458
462
470
473
477
481
490
499 500
a.
b.
c.
Bala go tloga ka 400. Bala dinomoro o le gare o tÞwela pele.
Ngwala dinomoro tÞeo di sego gona kriting.
Ngwala dinomoro tÞe 9 tÞeo di latelago ka morago ga 500.
500; _____; _____; _____; _____; _____; _____; _____; _____; _____
d.
Bala ka di 2. Ngwala dinomoro tÞe latelago tÞe 8 ka patrone ya di 2.
400; 402; _____; _____; _____; _____; _____; _____; _____; _____
e.
Bala ka di 5. Ngwala dinomoro tÞe latelago tÞe 8 ka patrone ya di 5.
400; 405; _____; _____; _____; _____; _____; _____; _____; _____
104
1
2
3
4
5
6
7
8
9
10
Na phetogo e gokae?
a.
Balela morago go tloga ka 400.
Thoma
400
+20
+30
+10
+10
+50
FetÞa
b.
+10
+20
Balela morago go tloga ka 500.
Thoma 500
–2
498
496
494
434
454
474
484
414
404
402
400 FetÞa
8`]RVeRUZ_`^`c`=ReV]R^`Y]R]R
HwetÞa palomoka ya dinomoro tÞe. ßomiÞa dikarata tÞa
dinomoro go laetÞa palomoka ye nngwe le ye nngwe.
405 + 10
415
400 + 10 + 5
398 + 10
446 + 10
424 + 10
455 + 10
460 + 20
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
105
46
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 4
Go hlakanya le go ntÞha gape
Na o lemoga eng?
200
50
400
4
80
200
30
489
9
5
wa Tumi
Tumi le
le wa
w Dumi gape go hlakanya.
Re ile go ÞomiÞa mokgwaa wa
a.
245 + 231
Mokgwa wa Tumi
Mokgwa wa Dumi
245 + 231
= 200 + 200 + 40 + 30 + 1
106
= 400 + 70 + 1
= 400 + 70 + 6
= 471
= 471
b.
278 + 136
c.
265 + 148
1
2
3
4
5
6
7
8
9
10
47
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 4
Kaonafata mabokgoni a gago
Thaba ya sephiri
Na ke thaba efe ye kgolo kudu kua Gauteng? ßomiÞa khoutu go hwetÞa karabo. Tswalanya karabo ye
nngwe le ye nngwe lenaneong le tlhaka yeo e lego khoutung.
A
1
N
14
B
2
O
15
C
3
P
16
D
4
Q
17
E
5
R
18
F
6
S
19
G
7
T
20
H
8
U
21
I
9
V
22
Mohlala wa-dinomoro
J
10
W
23
K
11
X
24
L
12
Y
25
M
13
Z
26
Karabo
Leletere
18
R
Mohlala: 2 × 3 × 3 × 1 =
50 + 50 + 50 + 100 – 200 – 45 =
1 + 2 + 7 + 10 + 7 + 1 – 14 =
60 – 30 + 50 + 20 – 50 – 15 – 20 =
3+2+7+1+2+1+3=
5 + 3 + 30 = 4 + 2 + 12 +
100 – 5 – 70 = 20 +
36 + 44 – 60 – 22 =
10 + 15 = 14 +
2 + 1 + 14 + 9 + 14 = 25 +
1×2×2×2×2=
Leina la thaba ke:
108
1
2
3
4
5
6
7
8
9
10
Lebelela! Nagana, gomme o arabe!
~ Ñ e Ñ ~
1
a.
b.
2
3
4
~ Ñ e Ñ ~
~ Ñ e Ñ ~
6
11
5
7
8
9
10
12 13 14 15
Na nomoro ya 16 e tla ba ya sebopego sefe?
Swaya (ü) ya maleba.
Ñ ~ e
Nomoro ya 18 e tla ba ya sebopego se sebjang?
Swaya (ü) ya maleba.
Ñ ~ e
Nomoro ya 23 e tla ba ya sebopego se sebjang?
Swaya (ü) ya maleba.
Ñ ~ e
Nomoro ya 50 e tla ba Ñ.
Nnete goba Maaka?
Nomoro ya 100 e tla ba ~.
Nnete goba Maaka?
Nomoro ya 23 e tla ba e.
Nnete goba Maaka?
Hlahloba. BapetÞa. LokiÞa.
a.
JV_eZ\VVWV0
8`YhVRR250\R]VeReZV]V
eYV]VeVjRa`e]R\R>`dVXR^R_jV]V
AYfaf,X`SRX`YhVeRR150]VeReZ
]R^RWV]V]`RAYRe`0
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
109
48
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 4
Go lekana
O lemoga eng ka dibopego tÞe?
Mothalo wa tekanyet``Rc`]RUZS`aVX`\RUZcZaR
eVaVUZeRX`]V\R_RX`cVdVdV_XhV]VdV
dV_XhVdV]V\R_V]VdVdV_XhVe]hR
DVS`aVX`dV_R]VeV\R_jVe`XV`\RdV^V_R
X`]ReV]R^`eYR]`eV\R_jVe`X`cVUZcZaRXRcV
eVaVUZUZdhR_Ve]hR
Thala mothalo wa go lekantÞha.
y
Na mothalokhutlo ke mothalo wa go lekantÞha goba aowa?
Dira sediko go (E) Ee goba (A) Aowa.
EA
EA
EA
EA
Na mothalo wo ke wa go lekantÞha? Efa lebaka.
110
1
2
3
4
5
6
7
8
9
10
a.
EYR]RUZS`aVX``UZcVX`cVdVdhR_eY`
CVX`UZcVeVdR^ReY`^`
S
c.
:eZcV]V
\YRaVeVjRX`
SR]VUZS`aVX`
eRX`dhR_R
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
111
49
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 5
Go aga go fihla ka 500
500
Bala diapola
FeleletÞa o be o atiÞe
Serotwana se 1 se swara diapola tÞe ____. 1 × 10 = 10
Dirotwana te 3 di swara diapola tÞe ___. 3 × 10 =
Dirotwana te 5 di swara diapola tÞe ___.
Dirotwana te 4 se swara diapola tÞe ___.
Dirotwana te 2 se swara diapola tÞe ___.
112
Khreiti e 1 e swara diapola tÞe 100.
Dikhreiti te 2 di swara diapola te___.
Dikhreiti te 3 di swara diapola te___.
Dikhreiti te 4 di swara diapola te___.
Dikhreiti te 5 di swara diapola te___.
Diripagare te 2 ta dikhreiti di swara
diapola te _____.
1
2
3
4
5
6
7
8
9
10
Go na le diapola tÞe 10 ka gare ga seroto se 1.
Go na le diroto tÞe ______ ka gare ga lepokisana le tee.
Go na le diapola tÞe ______ ka gare ga lepokisana le tee.
Na ke diapola tÞe kae ka moka? ______
8`Yf^R_RX`S`_eYR]VX`_XhR]R
Thoma ka go ÞomiÞa dikarata tÞa dinomoro go bontÞha palomoka ye
nngwe le ye nngwe. Bjale, ngwala nomoro.
300
40
5
3 dikhreiti
+ 4 dirotwanas
+ 5 diapola
= 345 diapola
4 dikhreiti
+ 5 dirotwana
+ 7 diapola
= _____diapola
5 dikhreiti
+ 2 dirotwana
+ 3 diapola
= _____ diapola
Teacher:
Sign:
4 dikhreiti
+ 7 dirotwana
+ 2 diapola
= _____ diapola
11 12 13 14 15 16 17 18 19 20
Date:
113
50
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 5
Go atia le go arola (10)
Go bala diapola
Ngwala mo sekgobeng mo lenaneong.
Ke dirotwana tÞe kae tÞeo di nago le diapola?
Diapola
Dirotwana
10
20
1
2
30
40
50
÷ palo
50 ÷ 10 = 5
× palo
5 × 10 = 50
Arola diapola gare ga bana. Dira sethalwa.
Lebelela dikara
tÞa gago.
114
1
2
3
4
÷
=
×
=
5
6
7
8
9
10
b.
?XhR]RR÷aR]`
?XhR]RR ×aR]`X`
Y]RY]`SRUZ\RcRS`
ea gago.
ßomiÞa dinomoro o itirele mafokopalo.
0
10
20
÷ 40 ÷ 10 = 4
30
40
50
× 4 × 10 = 40
a.
0
10
20
÷
30
40
50
30
40
50
30
40
50
×
b.
0
10
20
÷
×
c.
0
10
÷
20
×
Efa palo ye e lego ye nnyane ka 10 go palo ye e filwego, gape ye e fetago palo ye e
filwego ka 10.
_____, 460, _____
_____, 390, _____
_____, 500, _____
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
115
51
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 5
Go bala ka di-#
8`SR]V]RaV]V\RUZ#X`WZY]RX`&!!XRaVX`SR]V]R^`cRX`
a. 232; 234; _______; _______; _______; 242; _______; _______; 248
b. 500; _______; 496; _______; _______; 490; _______; _______; _______
c. 460; _______; _______; 400; _______; 360; _______; _______; _______
d. 341; _______; 361; _______; _______; 391; _______; 411; _______; ______
5ZaYVcVeR
diklelafo
116
a.
Na go na le diphere tÞe kae tÞa diklelafo mothalading o tee? ______
b.
Na go na le diklelafo tÞa go sepela di le noÞi tÞe kae mothalading o tee? ______
c.
Na ke methaladi ye mekae? ______
d.
Na ke diklelafo tÞe kae ka moka? ______
e.
LaetÞa ka fao o di Þomago ka gona.
f.
Ngwala karabo ya gago bjalo ka lefokopalo.
______________ × ______________ = ______________
1
2
3
4
5
6
7
8
9
10
?R\VUZ\]V]RW`eV\RV0
Ngwala ka gare ga mapokisana.
a.
Phere
10
5
50
4
40
3
30
100
Diklelafo
b.
Klelafo e tee
20
21
70
73
Diphere
tÞeo di ka dirwago
Klelafo e tee yeo
e ÞetÅego
Ke palo efe ye e lego gare ge o bala ka di 2?
R <VaR]`VWVjVVe]RX`XRcV0
#'%PPPPP#')
$*"PPPPP$*&
%"%PPPPP%"!
S ?XhR]RUZ_`^`c`eVaVUZeVUZ]ReV]RX`
$($$(&377379
%)!%)#PPPPPP
#'##'%PPPPPP
T ?XhR]RUZ_`^`c`eVaVUZeVUZ]ReV]RX`
$%'$%)PPPPPP
%"&%"(PPPPPP
Teacher:
Sign:
#*(#**PPPPPP
11 12 13 14 15 16 17 18 19 20
Date:
117
52
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 5
Dira tselanamaoto ka dithaelee
Go beakanya serapana
Na ke tla di bea
bjang?
Mohumagadi Mabena o na le dithaele tÞe botse.
O di ÞomiÞa go dira tselanamaoto ka serapaneng sa gagwe.
Go na le dithaele tÞa dikwere tÞe 6 tÞa bogolo bja go lekana.
Nka dira mothaladi ka
dithaele tÞe 6.
Nka dira methaladi ye
mebedi ka dithaele tÞe
tharo.
Nka dira methaladi
thaladi ye meraro
ka dithaele tÞe 2 wo mongwe le
l
wo mongwe.
6×1=6
3×2=6
2×3=6
Bjale ke sebaka sa gago!
Thala mapokisana go laetÞa ka fao o ka beakanyago dithaele tÞa dikwere tÞe 8 le 9.
Ngwala mafokopalo a sethalwa se sengwe le se sengwe.
8 dikwere
118
1
2
3
9 dikwere
4
5
6
7
8
9
10
3VR\R_jRUZeYRV]VeV"#
Thabo o na le dithaele tÞa dikwere tÞe 12 tÞa go dira tselanamaoto ka ntle moo a beago paesekele
ya gagwe. Mo thuÞe ka fao a ka dirago se.
Ngwala lefokopalo la tsela ye nngwe le ye nngwe.
Mohlala:
1 × 12 = 12
12 × 1 = 12
3VR\R_jRUZeYRV]VeV#%
ƒ
ƒ
ƒ
omiÅa kriti ya Karolo ya SeripÅwa sa 5.
Thala ka gare ga tÅona go akaretÅa mapokisana a 24.
Ngwala lefokopalo go tswalanya sethalwa se sengwe le se sengwe.
<V\X`_RX`ReZR
12 = 2 ×
6=3×
3×
= 12
× 3 = 12
9=
×3
24 = 3 ×
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
119
53
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 6
Ka di 5 go fihla go 500
Tseba go bala ka di 5
Ngwala dikarabo.
1
×5
2
3
4
5
6
7
8
9
10
5
Bala dikerese
a.
Dikerese ke te kae ka lepokising le lengwe le le lengwe? ____________
b.
Mapokisi ke a makae mothalong wo mongwe le wo mongwe? __________
c.
Palomoka ya dikerese ke ye kae ka palo mothalong wo mongwe le wo mongwe? __
d.
Palomoka ya dikerese ke efe? ___________
=RVeR\RcRS`
Swaya (ü) go mafokopalo ao a laetago palomoka ya dikerese.
a. 5 × 3 × 3 =
120
1
2
3
b. 15 × 3 =
4
5
c. 3 × 5 × 5 =
6
7
d. 15 × 5 =
8
9
10
Go balela pele le morago ka di 5
a. 85; _______; _______; 70; _______; _______; 55; _______; _______
b. 240; _______; _______; 255; _______; _______; _______; _______; 280
c. 405; _______; 395; _______; _______; 380; _______; _______; 365; _______
8`\X`S`\VeRUZ\Y`Z_VeRUZC&
Bana ba kgoboketÞa dikhoine tÞa di R5. Ba swanelwa ke go dira dikhoine tÞe kae tÞa di R5?
R5 ÷ R5
= khoine ye 1
R10 ÷ R5
.UZ\Y`Z_VeV#
C"&0PPPP
C#!0PPPP
C#&0PPPP
C$!0PPPP
C$&0PPPP
C%!0PPPP
C%&0PPPP
C&!0PPPP
2 × R5 = R
4 × R5 = R
3 × R5 = R
6 × R5 = R
A o bona
dipatrone?
Mohlala: 1 × 5 = 5; 11 × 5 = 55; 21 × 5 = 105
2eZR\RUZ&
Nagana ka bohlale! Bolela ka dilo tÞeo o di tsebago!
1
2
5
10
11
12
3
4
5
6
7
8
9
10
13
14
15
16
17
18
19
20
Teacher:
55
11 12 13 14 15 16 17 18 19 20
Sign:
Date:
121
54
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 6
Go Þoma ka nako
Go thala dinako
Seripagare
go ya go iri
ya 5
Kotara go
ya go iri ya
lesometee
Kotara go
tÞwa go 12
12:45
6:15
4:30
Lefokopalo la nako
Re ka ÞomiÞa mothalonako go hwetÞa
karabo. Bea monwana wa gago wa letsogo
go 2:30, nako ya maleba gona bjale.
Mmago Nomsa o tloga ka gae ka 2:30
mathapama. O boa gae ka 5:15 mathapama. Na o
tÞwele lebaka le le kaakang?
Ge o tshelela pele diiri
te 21 e tla ba 3:00
mathapama.
Gomme ge o tshelela
pele iri e tee ka
moka, e tla ba 4:00
mathapama.
Ge o tshelela pele iri
e tee ye nngwe e tla
go fihlia go 5:00
mathapama.
1
Bjale o ka tshela 4
ya iri gape go fihla
go 5:15 mathapama
2:15 2:30 2:45 3:00 3:15 3:30 3:45 4:00 4:15 4:30 4:45 5:00 5:15 5:30 5:45 6:00
1
2 iri
1 iri
1
4 iri
1 iri
1
1
2 ya iri go hlakanya le diiri tÅe pedi di dira diiri tÞe 2 2 .
1
3
Go hlakanya le 4 ya iri e dira 24 ka moka.
122
1
2
3
4
5
6
7
8
9
10
Lefokapalo la nako
Lekola. BapetÞa. PhoÞolla.
Rarolla lefokopalo le lengwe le le lengwe. ßomiÞa methalo ya nako go go thuÞa.
a.
Queenie o etela Tatagwe kliniking ka 3:45.
O tloga kliniking ka 5:15.
Na go tÞere lebaka le lekaakang ga mo etete?
___________________________
b.
Musa o ya phakeng ka 10:45.
O fihla gae ka 12:30.
Na o tÞere lebaka le le kaakang a se gae?
___________________________
c.
Tumi o thoma go ithuta ka 1:15.
O fetÞa ka 2:45.
Na Tumi o ithuta nako ye kaakang?
___________________________
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
123
55
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 6
Bala ka di 3 le ka di 4
5ZaZeReR^R`ehR_RR$
Hlakanya gomme o
ngwale dikarabo
a.
Go dipita te kae mo mothalong? _________________
b.
Go maotwana a makae mo mothalong? ____________
c.
Go methalo ye mekae ya dipita? ________________
d.
Ke maotwana a makae ka moka? Laeta gore o hwedite karabo bjang.
Swaya (ü) ke mafokopalo a mafe mo tlase ao a laetago palomoka?
21 × 7 =
3×7×3=
3×4×2=
21 × 3 =
Gopola ka lebelo.
Gopola ka bohlale.
Maotwana a makae?
maotwana
10
dipitÞa
maotwana
5
dipitÞa
maotwana
2
dipitÞa
maotwana
15
dipitÞa
maotwana
12
dipitÞa
maotwana
5
dipitÞa
maotwana
13
dipitÞa
maotwana
14
dipitÞa
maotwana
1 pitÞa
124
1
3
2
3
4
5
6
7
8
9
10
Maoto a tafola
a. Go ditafola tÞe kae mo mothalong? ________
b. Go maotwana a makae mo mothalong? _________
c. Go methalo ye mekae ya ditafola? _________
d. Maotwana ka moka ke a makae? Laeta gore o hweditÞe karabo bjang?
Fabriking
Mmetli o dira ditafola. O thoma ka go dira maotwana.
Gabjale o dirile 48. Na a ka dira ditafola tÞe kae?
O swanelwa ke go oketÞa ka maotwana a makae ge a
oketÞa palo ya ditafola ka e tee?
7V]V]VeR\cZeZ\RX`_XhR]RUZ\RcRS`
2
3
4
5
8
10
11
12
Teacher:
×3
6
×4
8
11 12 13 14 15 16 17 18 19 20
Sign:
Date:
125
56
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 6
Bala ka di 50
Ngwana o tee, kobo e tee!
Na ke bana ba bakae? Akanya, gomme o bale.
K o b o y a K h o l o fe l o
e
A p e a n g b a n a b a r e n a b a r u t h ofa l
N P O 1 2 3- 0 9 8
Bana ka moka mo seswantÞhong ba hwetÞa kobo mongwe le mongwe. Na ke bana ba
bakae? _____
Akanya
Bala
BapetÞa
Na ke difahlego tÞe kae tÞa go thaba - tÞa baÞemane? _____
Na ke difahlego tÞe kae tÞa go thaba - tÞa basetsana? _____
126
1
2
3
4
5
6
7
8
9
10
Na ba lefa bokae?
Gwa]i
o reka
O lelefa
R
Moh Chaane
O lelefa
o reka tÅe 5
R
Lebenkele la Thembi le
Ba lelefa
CVWVS[R]V
Kobo e tee
\RC&!
tÞe 2.
reka
tÅe 20.
R
tÞe 5 ka R50 = R250
te 10 ka R50 = R500
tÞe 4 ka R50 = R____
tÞe 15 ka R50 = R____
tÅe 3 ka R50 = R____
tÞe 6 ka R50 = R____
te 7 ka R50 = R____
tÞe 12 ka R50 = R____
tÞe 8 ka R50 = R____
tÞe 9 ka R50 = R____
?RX`e]ReVRdVSR\RdVdV\RR\R_X0`^ZRR]^R_R\R
Baithuti ba phapoÞi ya Mphato wa 3 ba kgoboketÞa tÞhelete ya go
reka mapai a 4.
Ba kgoboketÞa R5 ka letÞatÞi matÞatÞi a 5 a beke.
Ba thoma MoÞupologo wa mathomo wa Hlakola.
Na ke letÞatÞi lefe la Hlakola leo ba tla bego ba hweditÞe tÞhelete yeo ba e
nyakago?
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
127
57
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 7
Dipalophatlo: diripagare le dikotara
Arola dibolo ka go lekana ka mapokising.
ƒ Go na le dibolo tÞe kae ka lepokising
le lengwe le le lengwe?
ƒ Go na le dibolo tÞe kae ka lepokising
le le phepholo?
ƒ Ke palophatlo efe ye e lego ka l
epokising le lephepholo?
ƒ Go na le dibolo tÞe kae ka lepokising
le lengwe le le lengwe?
ƒ Ke palophatlo efe ye e lego ka
lepokising le le phepholo?
ƒ Ke palophatlo efe ka lepokising le
lephepholo?
Lebelela diswantÞho gomme o arabe dipotÞiÞo.
Na o hwetÞa didiko tÞe kae ge o di bala?
Na o hwetÞa didiko tÞe kae ge o di bala?
Na ½ ya didiko ke bokae?
Na ¼ ya didiko ke bokae?
Na ¼ ya didiko ke bokae?
2
Na ¾ ya didiko ke bokae?
4
Na ¼ya didiko ke bokae?
128
1
2
3
4
5
6
7
8
9
10
Khalara ½ sa dibopego se
sengwe le se sengwe.
Khalara ¼ya dibopego se
sengwe le se sengwe.
Khalara 42 ya dibopego se
sengwe le se sengwe.
Khalara ¾ ya dibopego se
sengwe le se sengwe.
=VSV]V]R^VdVe`jRUZaR]`aYRe]`
Palomoka e 1
½
¼
a.
½
¼
¼
¼
Ke di (½) tÞe kae tÞe di dirago palomoka?
Ke di (¼) tÞe kae tÞe di dirago palomoka?
Ke di (¼) tÞe kae tÞe di dirago seripagare?
b.
Lebelela ditshwantÞho gomme o ngwale palophatlo boemong bja karolo yeo e
ntshofaditÞwego.
¼
¼ ¼
c.
¼
Palophatlo ye kgolo ke efe:
Teacher:
Sign:
½ goba ¼
11 12 13 14 15 16 17 18 19 20
Date:
129
58
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 7
Dipalophatlo: diripagare,
diteetharong le diteetsheleng.
Arola ditshitswana (disilintere) ka mapokising.
A
12
Palomoka ya dibolo:
ƒ Go na le dibolo tÞe
kae ka lepokising le
lephepholo?
ƒ Ke palophatlo efe ka
lepokising le
lephepholo?
6
½
Lebelela diswantÞho gomme o arabe dipotÞiÞo.
Na o hwetÞa didiko
tÞe kae ge o di bala?
Na
ya didiko ke bokae?
Na
1
6
ya didiko ke bokae?
Na ½ ya didiko ke bokae?
Na 23 ya didiko ke bokae?
Na
2
6
ya didiko ke bokae?
Na
3
6
ya didiko ke bokae?
Na
4
6
ya didiko ke bokae?
Na
5
6
ya didiko ke bokae?
Na
130
1
2
3
4
1
3
3
3
ya didiko ke bokae?
5
6
7
8
9
10
|||||||||||||||||||||||||||||||||
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
21
22
23
24
25
26
27
28 29 30
ƒ BontÞha seripagare sa rula. Sona ke ____ cm
ƒ BontÞha teetharong ya rula. Yona ke ____ cm
ƒ BontÞha teetsheleng ya rula. Yona ke ____ cm
Lebelela meseto ya dipalophatlo. FeleletÞa mafoko.
Palotlalo e 1
½
½
1
3
1
6
ƒ
ƒ
ƒ
ƒ
ƒ
1
3
1
6
1
6
1
3
1
6
1
6
1
6
Go na le diripagare tÞe .... ka go palotlalo.
Go na le diteetharong tÞe .... ka go palotlalo.
Go na le diteetsheleng tÞe .... ka go palotlalo.
Go na le diteetharong tÞe .... ka go seripagare.
Go na le diteetsheleng tÞe .... ka go teetharong.
Ngwala palophatlo seeming sa karolo ye e ntshofaditÞwego.
Dira sediko palophatlong
ye kgolwane.
½
½
½
1
3
1
6
2
6
Teacher:
Sign:
Date:
11 12 13 14 15 16 17 18 19 20
131
59
LetÞatÞikgwedi:
Kotara ya 2 – Beke ya 7
Dipalophatlo: diteehlanong
Arola ditshitswana gare ga mapokisi.
ƒ Ka go
1
5
ya mapokisi go na le ditshitswana tÞe 6 .
ƒ Ka go
2
5
ya mapokisi go na le ditshitswana tÞe
.
ƒ Ka go
3
5
ya mapokisi go na le ditshitswana tÞe
.
ƒ Ka go
4
5
ya mapokisi go na le ditshitswana tÞe
.
ƒ Ka go
5
5
ya mapokisi go na le ditshitswana tÞe
.
Lebelela seswantÞho gomme o arabe dipotÞiÞo.
Go na le ditÞhokolete tÞe kae ka lepokising?
ƒ
1
5
ya ditÞhokolete e lekana le
ƒ
2
5
ya ditÞhokolete e lekana le
ƒ
3
5
ya ditÞhokolete e lekana le
ƒ
4
5
ya ditÞhokolete e lekana le
ƒ
5
5
ya ditÞhokolete e lekana le
ƒ Ka letÞatÞi la 1 ke jele 51 ya ditÞhokolete. Go ÞetÞe ditÞhokolete tÞe kae?
ƒ LetÞatÞi la 2 ke jele 51 ya ditÞhokolete gape. Go ÞetÞe ditÞhokolete tÞe kae?
132
1
2
3
4
5
6
7
8
9
10
Cut-out 1
Cut-out 2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22 23 24 25 26
27
28 29 30
31
32 33 34 35 36 37 38 39 40
41
42 43 44 45 46 47 48 49 50
51
52 53 54 55 56 57 58 59 60
61
62 63 64 65 66
67
68 69 70
71
72
77
78
81
82 83 84 85 86 87 88 89 90
91
92 93 94 95 96 97 98 99 100
73
74
75
76
79 80
101 102 103 104 105 106 107 108 109 110
111
112
113
114
115
116
117
118
119 120
121 122 123 124 125 126 127 128 129 130
131 132 133 134 135 136 137 138 139 140
141 142 143 144 145 146 147 148 149 150
151 152 153 154 155 156 157 158 159 160
161 162 163 164 165 166 167 168 169 170
171 172 173 174 175 176 177 178 179 180
181 182 183 184 185 186 187 188 189 190
191 192 193 194 195 196 197 198 199 200
201 202 203 204 205 206 207 208 209 210
Mphato
wa
3
s e
e t
M m
ka SEPEDI
SEPEDI
Puku ye ke ya:
Puku ya
1
7V]V]VeR^RW`\`aR]`]V^VeYR]`aR]`
0
5
10
15
20
25
5+ 5+ 5+ 5+ 5+ 5+ 5=
30
35
35
40
goba
45
7
50
× 5 = 35
a.
0
5
10
15
20
25
30
35
5+ 5+ 5+ 5=
b.
0
5
10
0
5
10
45
goba
15
20
25
30
35
5+ 5+ 5+ 5+ 5+ 5+ 5+ 5+ 5=
c.
40
15
20
25
30
40
×
45
__ + __ + __ + __ + __ + __ + __ + __ + __ + __ =
40
45
=
50
×
goba
35
50
=
50
goba 10 × 5 = 50
8`eYVRY]RaZ
Tšhego o tantše dihlapi tše magareng ga 40 le 50. O di bala ka di 2 gomme a šala ka 1. O di
bala ka di 5 gomme o šetše ka 2.
Na Tšhego o tantše dihlapi tše kae?
11 12 13 14 15 16 17 18 19 20
55
Malapa a ba bararo
Hwetša dinomoro tše 3 tšeo di tlaleletšago palo ya tebanyo.
Molao: ke palo e tee fela yeo e ka felelago ka 0.
Mohlala:
25
60
100
100
100
150
150
150
200
200
200
15
Ka godimo ga 50 le ka fase ga 50
Ngwala dikarabo mothalading wa bo 2.
70
+50
150
81
96
122
134
111
70
200
158
179
139
79
126
138
99
120
186
–50
125
136
11 12 13 14 15 16 17 18 19 20
Teacher:
Sign:
Date:
93
Re ile go šomiša mokgwa
g wa Tumi le wa Dumi gape go ntšha.
a.
476 – 324
Mokgwa wa Tumi
Mokgwa wa Dumi
476 + 324
= 400 – 300 + 70 – 20 + 6 – 4
= 100 + 50 + 2
= 100 + 50 + 2
= 152
= 152
b.
489 – 456
c.
482 – 161
Go fihlelela
selebanywa
Teacher:
Ithute seswantšho.
Sign:
Go sa nyakega bokae gore re fihlelele selebanywa? R
Date:
11 12 13 14 15 16 17 18 19 20
107
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
0
0
0
0
0
0
0
0
0
1
2
3
4
5
6
7
8
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Cut-out 3
Cut-out 4
1
2
3
4
5
6
7
8
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
3
4
5
6
7
8
9
0
0
0
0
0
0
0
0
0
1
2
3
4
5
6
7
8
9
Cut-out 5