HAPPY MATHS
Maths in everyday life
SUGAR IN THE CONSUMED PRODUCTS
IN POLAND
One of the next tasks was to calculate how much sugar we consume in all products during the month. First, we had to meticulously record all the products we consumed for a month, including drinks and condiments such as ketchup. Then, we had to count the amount of sugar in individual products, and compare the summed result with the recommendations of the World Health Organization. This task was aimed at improving the skills of estimating and using weights and measures converters. In addition, the obtained results were to make us aware of how much sugar is in our diet and motivate us to lead a healthier lifestyle.
IN ALJUSTREL, PORTUGAL
These posters were done to show the amount of sugar that everyday foods have hidden. Students have chosen things that they usually eat and then they calculated the amount of sugar.
IN POVOA DE VARZIM, PORTUGAL
1UNIVERISITY COSTS
First the students have thought about how they should calculate their expenses during the course. Then they also formulated a way to easily see the benefits of graduate education. Comparing the minimum wage vs the medium wage and considering 1% increase every year through a 40 year career, and subtracting the university costs. They can easily see the difference.Then they constructed the excel table and they can play with the numbers and get different simulations.
4DOES GOING TO A HIGHER EDUCATION PAY OFF?
ROOM RENOVATION PROJECT
The students prepared a plan of renovation of their own rooms. If they do not have their own rooms, they prepare a plan of the ones they would like to have. They took measurements of the rooms: their lenght, width and height. On an A4 grid sheet, they drew the shape of the room to the appropriate scale. They wrote the scale on the plan. Then, they calculated the surface area of: walls, ceiling and floor. Next, they visited a home-improvement store. They chose paints, floor panels, shirting boards, doors, decorative finishes, lamps, sockets, switches, shades, etc. and checked the prices. During the lesson of mathematics they will do all necessary calculations and during the lesson of IT they will create a file renovation.xlsx in MS Excel, in which they will list the expenses for the renovation of their rooms and calculate the total cost.
WORKSHEET
PROMOTION OF HEALTHY LIFESTYLE
WITH MATHEMATICS
Take a look at the videos presenting our ideas how mathematics can be helpful in conducting a healthy lifestyle.
BOARD GAMES
The innovative task was to make a mathematical board game using an online game generator at https://www.storyboardthat.com. The tasks which have to be solved in the games cover various areas of mathematics, and their content and results have been consulted with mathematics teachers. The aim of creating one’s own game was to acquire, develop and systematize mathematical information and shape the ability to use mathematical knowledge in practice, develop imagination, creativity and creative thinking, and demonstrate IT skills.
6GAMES
This activity was planned in Aljustrel, Portugal. Older students created maths games to develop with the younger students.
ISOMETRIES/TANGRAMS
Tangrams were invented in ancient China. From the seven parts of one square, unimaginably many shapes can be arranged. The popularity of the tangram resulted in the emergence of its various variants.
IN PORTUGAL
IN POLAND
MATHEMATICS IN GEOGRAPHY and ART
6MATHEMATICS IS EVERYWHERE!!!
THE TRIP TO OJCOW AND PIESKOWA SKALA
Students of classes 4b and 5b started the trip by visiting the Castle in Pieskowa Skała. They got to know its history and the legends associated with it.
Once again they found out that MATHEMATICS IS EVERYWHERE. The main entrance gate has the shape of a triumphal arch. From the courtyard of the castle, they watched beautiful gardens (solids of various volumes). They admired the castle from the outside, they noticed the tiny windows consisting of four rectangles. The Renaissance courtyard was built in the 16th century. Attention is drawn to the different proportions of the pillars, the different width of the arcades, and in the corner of the courtyard there is a well carved in the rock - it is 45 meters deep; cloisters are also solids and geometric figures. While exploring the next level, they noticed that the Gothic tower from the 15th century is made of a cylinder and a cone, and the arrowslits in it are cuboids, which are arranged on 10 levels. At the foot of the castle in Pieskowa Skała, there is a limestone monadnock called the Club of Hercules. The mace is 25 meters high and stands on a lower rock about 12 meters high.
The next point of the trip was Ojców.
Already at the beginning of the route, the students had to find the following hiking trails on the signs: which route to take to Jaskinia Łokietek, which direction to go, what color the trail was marked with, how long the route is and the approximate time of getting there. It was agreed that it would be the Grota Łokietka Trail.
On the way, they stopped at the Krakowska Gate. Since they couldn't find its width on the internet, they decided to measure it themselves. First, they estimated - about 10 m. Then they counted how many of their feet would fit, multiplied by the length of their foot in centimeters, and finally they expressed the width in meters - about 14 m. They concluded that it appears smaller.
The Glove Rock is clearly visible from this point in the valley. Using their left hand, the students could easily find a rock in the distance, consisting of 5 finger-shaped columns in the upper part resembling a solid cylinder, and the whole resembles a palm.
Then, through the Ciasne Skałki Gorge, they went towards Grota Łokietka.
From the guide, they learned that it is located about 125 m above the valley floor and is the largest of all caves known in the Park. The total length of all chambers, corridors and rooms is 320 meters. The cave has a constant temperature of 7 degrees Celsius throughout the year. The cave is closed in winter. At that time, bats - lesser horseshoe bat and greater bats - are hibernating there. Then their body temperature drops from about 40o C to 7oC. The students calculated that it drops by as much as 33oC.
Finally, they compared the time needed to reach the Cave, which they read at the beginning of the route, with the time they measured themselves:
• time on the signpost: 30 min;
Average speed = 3 km/h
• real time: 11.57 - 13.16 = 1 hour 19 minutes (including 3 stops without measuring time) J
Students average speed = 1.2 km/h
During the trip, the students walked an average of about 15,000 steps, covered a distance of 10 km and burned 250 kcal J
MATH TASK
On the occasion of Children's Day, students went by InterCity train to the Helios cinema in Dąbrowa Górnicza. They left at 8.51, and they were on site at 9.07. On the train, they read the speed at which the train was moving on the information board.
On their return, they calculated the distance they had covered during the train ride.
They started their return journey at 2.14 pm. They were in Zawiercie at 14:29. There was no information board in the compartment and they did not read the speed.
At school they calculated the speed of the train on the way back to Zawiercie.
Conclusion: The train was moving at the same speed of 120 km/h in both directions. The train traveled a distance of 32 km.
MATHS AROUND US - PHOTOS
In September we carried out the task entitled "Mathematics through the lens”. We took photos of still life, animate nature and urban architecture which refer to geometric figures. The aim of the task was to interest as many students as possible in various faces of mathematics and to develop a creative attitude.
IN POLAND
IN PORTUGAL
IN POLAND & PORTUGAL
LAPBOOKS
The students made lapbooks showing the properties of polygons and solids. A Lapbook is a way of creative presentation of information in the form of drawings, openable windows and moving elements. The aim of this task was to develop mathematical competences through the use of activating methods, stimulating creativity and artistic talent, as well as consolidating knowledge about the properties and ways of calculating the areas of polygons and solids. Students' works were displayed on the school notice board.
E-BOOKS
Our tasks was to create an e-book containing mathematical formulas using the Story Jumper app. The formulas include the section of plane geometry and solid geometry. The aim of this task was to revise and consolidate mathematical knowledge, develop creativity and improve IT skills. What is more, ready-made e-books are excellent teaching aids, which are especially useful before exams.
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OUR MATHEMATICAL RECIPES FOR HEALTHY DISHES
ACTIVITIES