Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with...
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![Page 1: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/1.jpg)
Lifelong Learning ProgrammeComenius Multilateral
Schoolpartnership:
“To play or not to play with water”
Mathematical workshop:“Water in numbers”
Gimnazija Matije Antuna Reljkovića, Vinkovci, Croatia
![Page 2: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/2.jpg)
Task 1.
1) Study each country's monthly water bill of an average family.
2) Set a function which will help you to calculate a monthly cost of x m3 of used water.
3) Represent the function graphically.4) Calculate how much it has to be paid for
10m3, 20m3, 30m3.5) How much water was used if the family
paid 30€, 50€, 100€? 6) How many ice-cream balls can you buy
with the money used to pay 10m3 of water?
![Page 3: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/3.jpg)
Task 2.1) Tap in your kitchen is damaged,
therefore water is dripping out of it. In 5 minutes 100 ml of water go out of the damaged tap. How much water ( litres) drips out of the tap per month?
2) Calculate the percentage of rising water amount, if previous month amount was 193.51 kn (26.2 €).
3) How many ice-cream balls can you buy for that money?
![Page 4: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/4.jpg)
Task 3
1) Cistern in your bathroom is not good and water leaks. For 1 minute 50 ml of water leaks. Calculate how much has leaked ( litres) for a month?
2) How much it will increase the account in percentage, if the bill for the previous month was 193.51 kunas or 26.2 €?
3) How many ice-cream balls "have leaked"?
![Page 5: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/5.jpg)
Task 4.1) In our school there are 25 classes. Every
class cleans school board approximately 50 times a week. If 2 litres of water is spent for one cleaning of a school board, how many cubic meters do we spend in one month?
2) How much do we pay for spent water in one month?
3) If smart board approximately costs 1000€, how many months should we stop cleaning school board, to raise enough money to buy one?
![Page 6: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/6.jpg)
Task 5.How can bathers prevent wasting water?• Every pair of shorts absorb about 100 ml of
water more than Speedo swimming pants.• Calculate:• How much more water will be drained from a
pool where 200 men swim every day and then go out of the pool to dry out three times a day?
• Calculate the amount of water for:• a week• a month • a season (3 months).• Convey the results in liters and cubic meters !
![Page 7: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/7.jpg)
Task 6.
• 150 students completed a questionnaire about water. One question was: „ What do you drink at home? WATER JUICES SOFT DRINKS „
• The results of questionnaire have shown that water is being drunk by 100 of students
• juices - 85 students• soft drinks - 65 students• water and juices - 55 students• water and soft drinks - 40 students• juices and soft drinks - 30 students• How many students drink water together with
juices and soft drinks?
![Page 8: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/8.jpg)
Results:
![Page 9: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/9.jpg)
Task 1.Bulgaria Croatia France Germany Italy Lithuania
2) C(x)=x C(x)=1.31x
C(x)=2.85x C(x)=5.04x C(x)=0.86x C(x)=1.77x
4) C(10) =10€C(20) =20€C(30 )=30€
C(10) =13,1€C(20) =26,2€C(30 )=39,3€
C(10) =28.5€C(20) =57€C(30 )=85.5€
C(10) =50.4€C(20) =100.8€C(30 )=151.2€
C(10) =8.6€C(20) =17.2€C(30 )=25.8€
C(10) =17.7€C(20) =35.4€C(30 )=53.1€
5) 30€ -30 000 l50€ -50 000 l100€ -100 000 l
30€ -22 900 l50€ -38 168 l100€ -76 336 l
30€ -10 500 l50€ -17 540 l100€ -35 080 l
30€ -5 990 l50€ -9 920 l100€ -19 840 l
30€ -34 700 l50€ -57 900 l100€ -115 800 l
30€ -16 940 l50€ -28 480 l100€ -56 500 l
6) 10 19 14 67.2 8 20.58
![Page 10: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/10.jpg)
Task 1. 3) Represent the function graphically
• grafovi
100
90
80
70
60
50
40
30
20
10
-10
-20
€
-50 -40 -30 -20 -10 10 20 30 40 50m3
m3Italy x = 0,86xLithuania x = 1,77xGermany x = 5,04xFrance x = 2,85xCroatia x = 1,31xBulgaria x = x
![Page 11: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/11.jpg)
6) How many ice-cream balls can you buy with the money used to pay 10m3 of water?
10
1914
67
8
20
0
10
20
30
40
50
60
70
Bulgaria Croatia France Germany Italy Lithuania
ice-cream balls
Bulgaria
Croatia
France
Germany
Italy
Lithuania
![Page 12: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/12.jpg)
Task 2. 100 ml …….5 min.
x ml ……….30 days = 43 200 min x = 0.864 m3 Bulgaria Croatia France Germany Italy Lithuani
a
1) C(0.864)=0.864 €
C(0.864) = 1.13 €
C(0.864)=2.46 €
C(0.864)=4.36 €
C(0.864)=0.5 €
C(0.864)=1.53 €
2) 3.27% 4,3% 9.4% 16.64% 2% 5.8%
3) 0.864 ice-cream balls
1.7 ice-cream balls
1.23 ice-cream ball
6 ice-cream balls
0.5 ice-cream balls
2 ice-cream balls
![Page 13: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/13.jpg)
Task 2. 3)
0,864
1,71,23
6
0,5
2
0
1
2
3
4
5
6
Bulgaria Croatia France Germany Italy Lithuania
ice-cream balls
Bulgaria
Croatia
France
Germany
Italy
Lithuania
![Page 14: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/14.jpg)
Task 3 50 ml …….1 min.
x ml …… 30 days = 43 200 min. x = 2.16 m3 Bulgaria Croatia France Germany Italy Lithuani
a
1) C(2.16) =
2.16 € C(2.16) =
2.83 €
Home work
C(2.16) =
10.89 €
Home
work
Home work
2) 8.24% 10,8% 41.55%
3) 2.16 ice-cream
balls
4,16 ice-cream
balls 14.3 ice-
cream
balls
![Page 15: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/15.jpg)
Task 4. 1) One class cleans the bord 4x50 = 200 times a month, 25 classes 25x 200 = 5 000 times a month. 5 000 x 2l = 10 000 l = 10 m3
Bulgaria Croatia France Germany Italy Lithuania
2) Home work
C(10) = 26.1€
Home work
Home work
Home work
Home work
3) 3 years
2 months and 9
days
![Page 16: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/16.jpg)
Task 5.
• 100 ml = 0.1 l • 200 men three times a day = 60l• a week 420 l a month 1680 l • a season (3 months) 5400 l = 5,4
m3
![Page 17: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/17.jpg)
Task 6.
25
1504030557065858595100
x
xxxxxxx
water - 100 students juices - 85 students
soft drinks - 65 students water and juices - 55 students
water and soft drinks - 40 students juices and soft drinks - 30 students
water, juices and soft drinks - x
65 - ( 70 - x)
85 - (85 - x )
100 - (95 - x)
30 - x
40 - x
Soft drinks
JuicesWater
55 - x
x
![Page 18: Lifelong Learning Programme Comenius Multilateral Schoolpartnership: To play or not to play with water Mathematical workshop: Water in numbers Gimnazija.](https://reader037.fdocuments.us/reader037/viewer/2022110304/551950f3550346af2d8b4648/html5/thumbnails/18.jpg)
Prepared by:Students: Tanja Šarčević, Luka Budak,
Jan Dolanski, Domagoj Jelić, Marin Maršić, Borna Rapčan, Marin Tandara
Teacher: Snježana Lukač