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Hand in hand with Hand in hand with mathematics” mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze Małopolska, Poland tel. (+48)32 2110019

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Page 1: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

””Hand in hand with Hand in hand with mathematics”mathematics”

THE ACTIVE PROJECTOPTIONAL: multimedia presentation.

Practice's guide about Brzeszcze

School: Gimnazjum nr 2 32-620 Brzeszcze Małopolska, Polandtel. (+48)32 2110019

Page 2: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

INTERDYSCYPLINARY ACTIVITIES:INTERDYSCYPLINARY ACTIVITIES:

mathematicsmathematics, , historyhistory and and geography. geography.

Project’s coordinatorProject’s coordinator: : Maths teacherMaths teacher Bożena Klamra Bożena Klamra

Page 3: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

The main aims of the project :The main aims of the project :

Searching for and selecting information,Searching for and selecting information,

Planning and running researches,Planning and running researches,

Presenting the results of researchesPresenting the results of researches..

Page 4: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

FFour dimensions our dimensions of citizenship educationof citizenship education

PEDAGAGICAL DIMENSIONIn the classroom:1. Interesting and researching projects,( the cultural heritage

of my area)2. Analyzing and logical thinking,3. Selecting information,4. Connecting experience with the results of researches.

Outside classroom:1. Using different and interesting information,2. Working in groups and cooperation with teachers,3. Application school knowledge in practice,4. Organizing individual consultations.

Page 5: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

FFour dimensions our dimensions of citizenship educationof citizenship education

SOCIAL DIMENSION• In the classroom:

Creating ability of working in group, making pupils active,Working out a method of respectful communication,Division of duties in each group – rational work,Buildings self responsibility for given task,Presenting the projects.

• Outside classroom

Cooperation between different peoples and with the people from the village, (organizing meetings, cooperation with the Library, Public Library, etc.)Responsibility for the effects of work.

Page 6: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

FFour dimensions our dimensions of citizenship educationof citizenship education

POLITICAL DIMENSION• In the classroom: Creating different function in group; for example: a leader, a

secretary, etc.

• Outside classroom Integration with local citizens and community (the influence of

environment on our life)

Cooperation with the media

Organizing the work between access to information and quality of information.

Page 7: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

FFour dimensions our dimensions of citizenship educationof citizenship education

VALUE / ETHICAL DIMENSION• In the classroom:

Using knowledge mathematics issues in constructions of different projects,

Socratic dialogue – discussion.

• Outside classroom: Why do we learn Mathematics?

Page 8: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

The project’s discriptionThe project’s discription

The pupils wanted to show various uses of mathematics knowledge in different situations.

The main activities:

Choosing the topics by the groups,Planning, organising and evaluating activities,Searching for and collecting information via various media,Composition the project,Presentation the project,Evaluation.

Page 9: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

During this work the pupils must to practice:During this work the pupils must to practice:

working with others,working with others,responsibility,responsibility,

regularity,regularity,consequence,consequence,creativeness,creativeness,

being open for others,being open for others,honest.honest.

Page 10: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Results of the project:Results of the project:

historical materials,historical materials,power point presentations,power point presentations,photos,photos,statistics results with descriptionstatistics results with description..

Page 11: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Practical guide Practical guide

about about

BrzeszczeBrzeszcze

Page 12: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

PrefacePreface

With a great pleasure we would like to present you a guide to Brzeszcze. We took into account not only the town, but also local villages belonging to the district.

We made every effort to make information presented here honest and complete. We hope that it will be useful in getting to know this land.

Page 13: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

FINISH

Authority in Brzeszcze

Foundation, society

Education

Major offices and institution

Brzeszcze - Solution of the problem

Page 14: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

TURIST AND LANDSCAPE VIRTUES:TURIST AND LANDSCAPE VIRTUES:

• Brzeszcze district is situated in the south part of małopolskie province, between Wisła and Soła rivers, near the railroad connecting Oświęcim and Czechowice – Dziedzice at the intersection of 33 and 949 trunk roads at a distance of 10 km from Oświęcim.

• A vicinity of Beskid mountain range (ab. 30 km), vicinity of the National Museum KL Auschwitz-Birkenau (10 km), the museum group in Pszczyna (15 km) and also the hotel base as the Brzeszcze disposes stand for undoubtful virtues which are utilized both by the inhabitants and by the guests.

Menu

Page 15: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

The historical backgroundThe historical backgroundA town and community BRZESZCZE is located in the Oświęcimska Valley in arms of

Wisła (Vistula) and Soła rivers. The name of the town derives from vast clusters of a mountain elm, termed in Polish a ,,brzost", which in the past grew the riverside and the plain terrains.

Places Brzeszcze, Jawiszowice, Przecieszyn, Skidziń and Wilczkowice date back in their origin to times of medieval colonization and settlement made by Opole and Ratibor Piasts - after the invasion of Mongols - from the half of the 13th century to the half of the 14th century. Wilczkowice was chartered in the year 1272 for the first time, Jawiszowice was recorded in the book of the Peter's-penny collected by pope's collectors in years 1326-27, Brzeszcze named in the list of students matriculated at the Cracow's Academy in the year 1400, Łęki, Skidziń (Skiedzień)and Przecieszyn were mentioned in the year 1457 in the sales act of the Oświęcimskie Duchy made by the Duke Jan (John) the 4th to the favour of the king Casimir the Jagiellon. Since their origination, depending on a location date, these villages had shared fortunes and misfortunes firstly of the castellany and then of the Oświęcimskie Duchy. About 1179, Casimir Sprawiedliwy separated Oświęcim and Bytom castellanies out of the seigniorial district which were given back to Mieszko Plątonogi. The Oświęcimskie Duchy was founded in the year 1315 followed further sub-divisions and bestowals with a new line of rulers originating from the Silesian Piasts. Oświęcim had become the seat and centre of the political and administrative authorities and the judiciary as well. In the year 1327 the Duke John the 1st paid homage from his lands to the Czech's King. In the year 1440, after two-time invasion of Hussites, the Czech language was introduced to the administration and the judiciary. In the year 1445 the further division into three duchies between three brothers took place: Jan (Janusz) ruled in Oświęcim, Wacław in Zator, and Przemysław in Toszek. Just two years later Jan sold his share to the king Casimir the Jagiellon.

Page 16: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

• The community Brzeszcze is located in the arms of Vistula and Soła rivers. Soła a picturesque river located on the eastern border of the community which is an object for Saturday-Sunday expeditions of the inhabitants of the Silesia and Małopolska regions.

Hotels: 1. "BAZAR” ul. Ofiar Oświęcimia(Str.) (20 places available) Phone:(032)2111166 2. KS"G6RNIK„ul. Ofiar Oświęcimia (Str.) (at the sports stadium - 36 places available) phone: (032) 2111225ext. 5642

Page 17: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

In the year 1822 Brzeszcze became a property of Karol Ludwik Habsburg and stayed as the Habsburgs' property until 1924 when the next squire, Karol Stefan, in frame of tax settlements with the Polish government gave - among others - his estate in Brzeszcze as a present to the Polish Academy of Skills. Generally the foundation amounted to more than 10 thousand hectares of arable ground, forests and ponds and made up the basic estate of the Polish Academy of Skills. The village in the 19th century did not vary from others in Galicia: poverty, dispersed households, overpopulation, excess of labour force. A vast majority of inhabitants went to do seasonal works abroad, others looking for better living conditions emigrated to overseas. In a period of the springtide of nations the unit of volunteers took up an unsuccessful trial to join with the uprising against Austrian army in the Chrzanów locality. The year 1848 brought in lifting of the serfhood and subjection of peasants and bestowing voting rights to them.

In the year 1903 the construction of hard coal mine was started in Brzeszcze. It became new source of keeping for local inhabitants and also a basis for founding and development of social and cultural life and patriotic and political activities. Until the outbreak of the World War II 25 societies, teams and social and political organizations acted in here on the basis of network of clubs, common rooms and libraries.

In years 1917 and 1918 the population from former Oświęcimskie and Zatorskie Duchies firmly and effectively resisted against propaganda campaigns of the nationalist groups Ostbund and Nordmark requesting to attach these lands - as originally German - to Austria. It is characteristic that these lands and Cracow were just first to liberate from the yoke of captivity after collapse of the Habsburgs Monarchy.

In October 1939 Brzeszcze was annexed to the Third Reich and the depressing period of terror had started with displacements and Germanisation and deepened at the vicinity of Auschwitz-Birkenau concentration camp. At the area of the district Bor the Nazzi Germans founded two sub-camps: a penal company for men and women and a men's economic camp and at the borderland of Brzeszcze and Jawiszowice a sub-camp for prisoners employed with the local coal mines. Since the started there had been a spontaneous and then the organized Resistance and assistance to the prisoners. Tonnes of food placed in nights in agreed spots, passing on warm underclothes, medicines and dressings, correspondence to and from families, receiving of prison's letters and coded reports on the camp condition, organization of prisoners escapes and hiding them,

Page 18: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

liquidation of confidents, clashes with the SS patrols and the military police, sabotages of the mechanical equipment of the mine and the railway transport - there are only a few forms of fighting of the local underground. For the conspiracy and repression actions the Nazzi Germans arrested more than eighty inhabitants the half of them was killed. "In recognition of merits put in the combat with the Nazzi occupier, of the bravery in aid provision to the prisoners of the Nazi concentration camp in Auschwitz" the town was decorated with the Order of the Grunwald Cross of the third class. On 29 January 1945 the Russian troops entered Brzeszcze.

On 7 July 1962 Brzeszcze achieved town's rights. The present administrative shape of the town and the community was established in the year 1982.

In the year 1966 the town received - in a way of contents - its crest, with Mr. Jozef Fijas as its designer. In the year 1967 in Brzeszcze at the park near the "Brzeszcze" hard coal mine a monument was erected, from social donations, to commemorate the honour of casualties and murdered during the World War II and in the year 1983 - at the area of the former sub-camp Jawiszowice - the monument in memory of victims of the camp. In the year 1989 the plaque founded by the Brzeszcze inhabitants in 1921 to commemorate "an unknown soldier" was found and unveiled at the park near the "Brzeszcze" hard coal mine.

On 27 May 1990 the first democratic ballot to the councils took place. In our country we have faced a change of the political system and the social and economic policy. The changes have also been made in Brzeszcze.In accordance with "The brief monograph of Brzeszcze" by Feliks Chowaniec..

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Page 19: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

The place, which is worth to seeThe place, which is worth to see

St. Martin’s wooden church of 1692 in Jawiszowice

Page 20: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Wooden houses from the turn of Wooden houses from the turn of 19th and 20th centuries19th and 20th centuries

Page 21: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

St. Urban’s blick church of 1876 St. Urban’s blick church of 1876 in Brzeszczein Brzeszcze

 

Page 22: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

A monument of victims of the sub-A monument of victims of the sub-camp Jawiszowitz and Monument camp Jawiszowitz and Monument of the fascism victims inside the of the fascism victims inside the

park near the coal minepark near the coal mine..

Page 23: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

The basin „Pod Platanem”The basin „Pod Platanem”

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Page 24: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Economy

The main centre of the industry has been and still will remain in Brzeszcze a hard coal mine which produces the best-quality coal in the Nadwiślańska Mining Company, which employs about 4,5 thousand persons. The company creates possibility for existence of many economic entities working both for needs of the mine and for outside tasks.

Page 25: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Presently the community Brzeszcze has registered 1 230 economic entities. The trade activity companies are predominant. Others are primarily for:•Repair and construction services,•Transport,•Lock-smithing,•Carpentry,•Hairdressing.

There have been registered three meat processing plants where a slaughterhouse is also located. The servicing and manufacturing activity is led by 3 bakeries, in wich one by the community's Co-op "Samopomoc chłopska" in Brzeszcze, one by PSS "Społem" (National Co-op) and one by private persons. Starting since autumn 1998 the District Station for Vehicles Testing has been acting at the area of the private sector.

The catering base is made up by bars, restaurants, two in-plant canteens which can be utilized by inhabitants of local towns.Moreover three fuel filling stations led by private persons, two of which have got car washes and in one station there is a catering point.

Brzeszcze located at the borderland of two economically strong regions of Poland, i.e. the Silesia and Małopolska seems to be before the great chance ahead Location at the projected expressway North-South increases the chance further more.

RETURN

Page 26: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

The town and the community is crossed by The town and the community is crossed by a railway line relation Czechowice-a railway line relation Czechowice-Dziedzice-Oświęcim. There are three railway Dziedzice-Oświęcim. There are three railway stations of the Polish National Railways stations of the Polish National Railways (PKP): Brzeszcze-Kolejowa Street, Brzeszcze-(PKP): Brzeszcze-Kolejowa Street, Brzeszcze-Jawiszowice, Dworcowa Street, and Jawiszowice, Dworcowa Street, and Jawiszowice-JaJawiszowice-Jaźźnik.nik.

Item No.

Road category

Administered by Total length in

km

Hard roadway

and improved

1Provincial

roadsManagement of the Provincial Roads in Cracow

13,28 13,28

2District roads

śę

ś ę

30,54 29,10

3Community roads

106,70 82,90

The road network

Page 27: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Vision of the Brzeszcze COMMUNITY-

THE COMMUNITY BRZESZCZE means: - community of families looking after social values, in here the solidarity of people, - an active and enterprising society, - a dynamically developing industrial area with a mining community, - a region the economic development of which is based on a concept of self-government, - a centre with a variable economic structure with strongly developed sector of services and trade based on small and medium companies, - a region of specialized agriculture and processing industry, - a tourist centre with an attractive agro tourist offer - sports and recreation centre and in here rest on water, - an area of developed constructing of individual dwelling houses, in here of compact development, - a region with the clean natural environment and high ecological awareness of its inhabitants, - a place giving the feeling of social safety, - a centre with developed sector of public services, an attractive cultural offer and health protection, - an attractive and safe place for living working and resting for inhabitants, - inhabitants with high professional mobility, - an area of internal integrity, with a good network of roads and environment friendly system of internal transport, - an area characterized with a good public transport and locality.

Page 28: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Mission of the Brzeszcze community

THE BRZESZCZE COMMUNITY:

• ensures permanent, versatile and harmonic social and economic development in conformity with rules of the ecological development and the social safety,

The overriding objective

Restructuring of the company's economy in order to achieve permanent versatile and harmonic social and economic development in conformity with rules of the ecological development and the social safety. Restructuring of the company's economy in order to achieve permanent versatile and harmonic social and economic development in conformity with rules of the ecological development and the social safety.

RETURN

Page 29: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

The Brzeszcze on the background The Brzeszcze on the background other communities in districtother communities in district

comune Area

km2

population

Brzeszcze 46,1 22 267

Chełmek 27,2 13 069

Kęty 75,8 33 567

Osiek 29,1 6 434

Oświęcim 30,3 44 070

Oświęcim (g. wiejska)

74,5 15 652

Polanka Wielka 24,1 3 979

Przeciszów 35,4 6 729

Zator 51,4 8 900

DISTRICTS AREA: 393,9 KM2

THE PEOPLE IN DISTRICT :

154 667

Page 30: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

ARABLE LAND IN OŚWIĘCIM DISTRICT

THE BUDGET INCOMS OF DISTRICTS IN 2004

Page 31: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

THE AMOUNT OF UNEMPLAYED

(MAY 2005 )

THE BUDGET EXPENSES OF DISTRICTS IN 2004

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Page 32: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

BRZESZCZEBRZESZCZE

Solution of the problem

Page 33: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

LIBRARY NUMBER

El. School No l 9 000

El. School No 2 6 500

2 urban libraries 16 000 each

2 other libraries The Sum 9 500

Junior High School No 2 One third more books than in the library in Elementary School No 1

Junior High School No 1 Four times fewer books than in urban libraries plus 2 bookshelves with 2 thousand

books each

Task1The public library in Brzeszcze has been added to Community Centre thus forming 8th department of public libraries in Brzeszcze Commune: (including 2 urban libraries and 6 rural ones).

How much will be the total book collection of 8 libraries in Brzeszcze commune if you are given the following:....?

Page 34: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

SOLUTION OF TASK l:

• El. School No l - 9 000 books• El. School No 2- 6 500 books• 2 urban libraries - 16 000 + 16 000 = 32 000 books• 2 other libraries - 9 500• Junior High School No 2: 1/3 of 9 000 EQUALS 3 000 BOOKS

3 000 + 9 000 = 12 000 BOOKS• Junior High School No 1: 16 000 : 4 = 4 000

4 000 + 4 000 = 8 000 SO: 9 000 + 6 500 + 32 000 + 9 500 + 12 000 + 8 000 = 77 000 BOOKS

SOLUTION:

THE TOTAL BOOK COLLECTION OF 8 LIBRARIES WILL BE 77000 COPIES OF BOOKS.

Page 35: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Task2

In 1985 in Brzeszcze there was a certain number of inhabitants. Ten years

later there were 3000 inhabitants more. After another 10 years the number of

in habitants was 5% more than 10 years ago.

This year 21615 people in Brzeszcze.

How many people lived there in the town in 1985 ?

Page 36: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

SOLUTION OF TASK 2:

The number of people in the following years:1985 - x1995 - x + 30002005 - 21615

100% - 3000 5% - x

3000 + 150 = 3 150x+3 150 = 21 615/-3 150x =18 465

SOLUTION:

18 465 PEOPLE LIVED IN BRZESZCZE IN 1985.

150100

30005

x

Page 37: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

Task 3

A certain inhabitant of Brzeszcze is eight older than the inhabitant of

Jawiszowice. In 12 years’ time they will be together 68 years old.

How old is currently each of them?

Page 38: ”Hand in hand with mathematics” THE ACTIVE PROJECT OPTIONAL: multimedia presentation. Practice's guide about Brzeszcze School: Gimnazjum nr 2 32-620 Brzeszcze

SOLUTION OF TASK 3:

x – the age of inhabitant from Brzeszczey - the age of inhabitant from Jawiszowicey + 8 - the age of inhabitant from Brzeszcze68 – total age of the mentioned people after 12 years’ timex+12+y+ 12- total age of the mentioned people after 12 years’ time

 

681212

8/8

yx

xy

24/6824

8

yx

xy

44

8

yx

xy

8/448

8

xx

xy

2:/522

8

x

xy

26

8

x

xy

26

826

x

y

26

18

x

y

SOLUTION:

CURRENTLY, THE INHABITANT OF BRZESZCZE IS 26 YEARS OLD AND THE INHABITANT OF JAWISZOWICE IS 18 YEARS OLD.

FINISH