9-Mavzu: Miqdorlar va ularni o`lchash
Masala. Biri kvadrat, ikkinchisi to`g`ri to`rtburchak shaklida bo`lgan ikkita dalaning perimetrlari baravar bo`lib, ularning yig`indisi 3 km 200m ga teng. To`g`ri to`rtburchakning bo`yi enidan uch marta katta. Hosil ikkala dalada bir xil bo`lib, birinchi daladan ikkinchi dalaga qaraganda 96 sentner ortiq g`alla olingan. Har ikkala daladan yig`ib olingan g`alla miqdorini aniqlang.
Yechish: Masala shartini ifodalovchi kvadrat hamda to`g`ri to`rtburchak shakllarini beramiz:
Ushbu masala o`z tarkibida ber nechta “ tip” masalalarini mujassamlashtirgan.
Masala yechilishini savol javob tarzida yuritamiz:
1) Kvadrat, yoxud to`g`ri to`rtburchak peremetri qancha?
3 km 200 m : 2= 3200 m :2= 1600 m
2) Kvadrat tomoni necha metr ?
1600 : 4 = 400 (m)
3) To`g`ri to`rtburchak eni va bo`yi yig`indisi necha metr?
1600 : 2 = 800 (m)
4) To`g`ri to`rtburchak eni EF=LK ni bir qism deb qarasak, eni va bo`yi yig`indisi 800 m necha teng qisimlarni tashkil qiladi?
1+3=4(qism)
5) To`g`ri to`rtburchakning eni necha metr?
800 : 4=200(m)
6) To`g`ri to`rtburchakning bo`yi necha metr?
200∙ 3=600(m)
7) To`g`ri to`rtburchakning yuzi qancha?
200∙600=120000(m2)=12(ga)
8) kvadrat yuzi qancha?
400∙400=160000 (m2) = 16(ga)
9) Kvadrat yuzi to`g`ri to`rtburchak yuzidan qancha ortiq?
16-12=4 (ga)
10) bir gektar yerdan qancha xosil olinadi?
96:4=24(g)
11) To`g`ri to`rtburchak shaklidagi maydondan qancha g`alla olingan?
24∙12=288 (s)
12) Kvadrat shaklidagi maydondan qancha g`alla olingan?
24∙16=384 (s)
Javob: 288 sentner, 384 sentner.
Mustaqil nazorat-ish variantlari
Har bir talaba nazorat ishini bajarishga kirishar ekan, dastlab jadvaldan o’z variantini hamda variantga tegishli 1-9 topshirig’ini topib olmog’i lozim. (Masalan, 15-variantdan 10,16,27,18,3,18,6,3,3 lar mos ravishda 1-,2-,3-,4-,5-,6-,7-,8-,9-mavzulardagi topshiriq nomerlarini bildiradi. Ya’ni 1-mavzudan 10-nomerli topshiriq, 2-mavzudan 16-nomerli topshiriq va hokazo.)
Variant topshiriqlari aniqlangach, metodik tavsiyaga qarab bajarish mumkin.
Variant
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Topshiriqlar
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9.
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26
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1
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3
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4
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24
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4
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9
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10
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12
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27
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5
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2
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5
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13
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5
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10
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12
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1
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28
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4
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6
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6
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11
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6
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12
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13
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7
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29
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3
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4
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7
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12
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7
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13
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1
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10
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30
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11
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9
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8
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10
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8
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1
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14
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12
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1
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15
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8
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9
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4
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9
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14
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5
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13
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2
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14
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12
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10
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9
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10
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5
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9
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1
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3
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13
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10
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11
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27
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11
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9
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7
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14
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4
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2
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15
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12
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29
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12
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7
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15
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5
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5
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6
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14
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13
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30
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13
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15
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3
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9
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6
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7
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18
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14
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1
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14
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3
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3
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7
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7
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8
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16
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15
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29
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15
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3
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2
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15
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8
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22
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21
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16
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2
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16
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2
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1
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3
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9
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19
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24
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17
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28
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17
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1
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6
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3
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10
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16
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27
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18
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3
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18
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6
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8
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2
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11
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17
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20
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19
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27
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19
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8
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7
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1
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12
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18
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30
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20
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4
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3
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7
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9
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6
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13
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28
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5
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21
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26
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2
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9
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1
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8
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14
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27
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4
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22
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5
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6
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1
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14
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7
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15
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26
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6
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23
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25
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4
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14
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15
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9
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16
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30
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10
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24
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7
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9
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15
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12
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1
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17
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4
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8
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25
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24
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8
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12
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4
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14
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18
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8
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18
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26
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8
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12
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4
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10
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15
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19
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6
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15
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27
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23
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10
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10
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6
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12
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21
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23
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12
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28
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9
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15
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6
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11
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4
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20
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9
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24
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29
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22
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14
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11
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8
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10
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25
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5
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20
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30
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10
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18
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8
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10
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6
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24
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15
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16
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1
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21
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16
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2
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12
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11
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22
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12
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29
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2
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11
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21
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6
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13
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8
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23
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24
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25
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3
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20
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24
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17
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1
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9
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30
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19
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24
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4
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12
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27
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7.
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14
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1
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28
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14
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1
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5
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19
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20
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9
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5
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14
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29
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28
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30
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6
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13
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30
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10
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9
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15
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27
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27
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28
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7
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18
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5
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12
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7
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12
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26
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17
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7
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8
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14
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4
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13
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15
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4
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2
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6
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11
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9
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17
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6
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1
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3
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10
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5
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3
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13
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10
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15
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10
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14
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3
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6
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8
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1
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17
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11
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16
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8
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5
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2
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11
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13
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2
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19
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12
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16
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18
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9
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1
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8
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14
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9
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23
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13
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15
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15
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7
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6
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1
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7
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29
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29
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14
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17
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12
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15
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8
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14
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9
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30
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1
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15
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14
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24
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3
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7
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5
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26
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25
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2
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16
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18
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20
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3
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9
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9
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21
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26
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3
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17
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13
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16
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2
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1
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7
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18
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28
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4
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18
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25
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29
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1
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14
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15
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27
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24
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5
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19
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3
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4
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6
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15
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3
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24
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13
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6
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3
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2
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5
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8
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12
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3
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11
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11
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7
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2
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6
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6
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7
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4
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10
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12
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8
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6
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4
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7
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9
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10
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1
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10
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9
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4
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9
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8
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1
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6
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6
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1
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4
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10
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9
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8
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9
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14
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11
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8
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3
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9
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11
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8
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10
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8
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7
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30
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27
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11
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12
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10
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9
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29
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4
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1
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27
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30
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14
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10
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13
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14
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28
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1
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15
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14
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18
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14
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6
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1
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25
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29
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16
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18
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16
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11
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14
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12
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6
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2
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8
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5
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28
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18
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24
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9
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3
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19
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24
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27
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18
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6
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7
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6
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9
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27
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27
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20
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19
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17
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15
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11
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16
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4
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21
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20
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30
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3
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7.
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3
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8
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23
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26
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22
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30
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5
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2
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9
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3
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3
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19
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5
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23
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5
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4
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6
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10
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2
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2
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17
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25
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24
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4
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6
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4
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12
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1
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1
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18
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7
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25
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6
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10
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9
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13
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6
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6
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24
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26
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10
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8
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8
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1
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8
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8
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13
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8
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27
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8
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18
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12
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7
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7
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15
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23
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28
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18
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15
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10
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5
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9
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9
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14
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9
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29
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15
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12
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15
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9
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1
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1
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4
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22
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30
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12
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24
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14
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7
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14
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14
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5
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10
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1
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24
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18
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8
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21
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2
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20
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16
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16
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12
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12
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6
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11
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16
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29
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21
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3
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4
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30
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20
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29
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25
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24
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2
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10
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10
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12
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5
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25
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24
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27
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1
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6
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6
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19
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6
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24
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1
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20
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6
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11
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11
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10
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13
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7
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1
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30
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30
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8
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8
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8
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4
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18
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8
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30
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28
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5
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7
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10
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7
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22
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14
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9
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28
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7
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4
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9
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12
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9
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10
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11
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6
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1
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13
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1
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11
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10
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1
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1
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24
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6
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1
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2
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20
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11
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3
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11
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13
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18
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2
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3
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16
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8
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3
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8
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18
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25
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19
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3
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4
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29
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2
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2
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2
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