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

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Lifelong Learning Programme Comenius Multilateral Schoolpartnership: “To play or not to play with water” Mathematical workshop: “Water in numbers” Gimnazija Matije Antuna Reljkovića, Vinkovci, Croatia. Task 1. Study each country's monthly water bill of an average family.

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Lifelong Learning ProgrammeComenius Multilateral Schoolpartnership:

“To play or not to play with water”

Mathematical workshop:

“Water in numbers”

Gimnazija Matije Antuna Reljkovića, Vinkovci, Croatia

• 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?
• 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?
• 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"?
• 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?
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 !
• 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?
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
• 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

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

Prepared by:

Students: Tanja Šarčević, Luka Budak, Jan Dolanski, Domagoj Jelić, Marin Maršić, Borna Rapčan, Marin Tandara

Teacher: Snježana Lukač