Lifelong Learning Programme Comenius Multilateral Schoolpartnership: “To play or not to play with water” Mathematical wo

1. Lifelong Learning ProgrammeComenius Multilateral Schoolpartnership: “To play or not to play with water” Mathematical workshop: “Water in numbers” Gimnazija Matije Antuna Reljkovića, Vinkovci, Croatia

2. Task 1. • Study each country's monthly water bill of an average family. • Set a function which will help you to calculate a monthly cost of x m3 of used water. • Represent the function graphically. • Calculate how much it has to be paid for 10m3, 20m3, 30m3. • How much water was used if the family paid 30€, 50€, 100€? • How many ice-cream balls can you buy with the money used to pay 10m3 of water?

3. Task 2. • 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? • Calculate the percentage of  rising water amount, if  previous month amount was 193.51 kn (26.2 €). • How many ice-cream balls can you buy for that money?

4. Task 3 • 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? • How much it will increase the account in percentage, if the bill for the previous month was 193.51 kunas or 26.2 €? • How many ice-cream balls "have leaked"?

5. Task 4. • 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? • How much do we pay for spent water in one month? • If smart board approximately costs 1000€, how many months should we stop cleaning school board, to raise enough money to buy one?

6. 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 !

7. 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?

8. Results:

9. Task 1.

10. Task 1. 3) Represent the function graphically • grafovi

11. 6)How many ice-cream balls can you buy with the money used to pay 10m3 of water?

12. Task 2. 100 ml …….5 min. x ml ……….30 days = 43 200 minx = 0.864 m3

13. Task 2. 3)

14. Task 3 50 ml …….1 min. x ml …… 30 days = 43 200 min. x = 2.16 m3

15. 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

16. 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

17. Task 6. 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

18. Prepared by: Students: Tanja Šarčević, Luka Budak, Jan Dolanski, Domagoj Jelić, Marin Maršić, Borna Rapčan, Marin Tandara Teacher: Snježana Lukač