Pisa tests in Russian. Tasks for writing in Russian. River description plan

Kolesnichenko Natalya Georgievna - teacher of Russian language and literature, secondary school No. 11 in Karaganda

Gafiyatullina Alla Mikhailovna - teacher of Russian language and literature, secondary school No. 11 in Karaganda

Tasks for the development of functional reading literacy of students under the international PISA program.

aim work is an assessment of students' possession of knowledge and skills necessary for full functioning in society.

"BANKNOTES OF KAZAKHSTAN"

Here is an image of the updated banknote of 5000 tenge, issued on December 30, 2011

Take a close look at the banknote. What phrase do you think is present on all banknotes of Kazakhstan?

Answer ______________________________________________________________________________________________________________________________________________________________________________________________________

Criteria for evaluation:

Correct answer: "Counterfeiting is punishable by law" - 1 point.

The other answer is 0 points.

Task number 2

What element depicted on the banknote is a symbol of peace and harmony?

A) the monument "Cossack Eli"

b) flying doves

C) the top of the Independence Monument

D) the mountains of the Trans-Ili Alatau

Criteria for evaluation:

The correct answer is B - 1 point.

The other answer is 0 points.

2 group

Based on the image of the banknote, fill in the table. Put a "+" sign in the appropriate column.

Statement

right

wrong

No information in text

The banknote has security elements: a holographic ribbon depicting a flying bird, an apple and a denomination number.

The banknote of 5000 tenge is a store of value and therefore is not counterfeited as often as others

On the front and back of the banknote there is a mark for visually impaired people

You can feel to the touch that you have a banknote in front of you

5000 tenge - the largest banknote of Kazakhstan

Kazakh banknotes win prizes at international competitions

Criteria

5-6 correct - 1 point

Less than 5 - 0 points

3 group

The obverse is the front side of the banknote. Reverse - the reverse side.

Find a match

reverse


obverse

Criteria for evaluation:

    obverse, 2- reverse.

Correct answer - 1 point.

The International Banknote Society (IBNS) is an association of banknote collectors, whose members are about 2,000 experts from more than 90 countries.

AT In May 2013, IBNS summed up the results of the international competition and recognized the Kazakhstani banknote of 5000 tenge as the “Best Banknote of 2012”. Do you agree with this choice and why?

Answer ______________________________________________________________________________________________________________________________________________________________________________________________________

Criteria for evaluation:

Task number 4

A banknote of the same denomination, issued in 1998, is now

out of active circulation, but is an object of interest to collectors.

Restore the dialogue between two collectors: the buyer and the seller of this banknote. Write your answer in the form of a chain.

One boom still left!

LL 0056296

Criteria for evaluation:

Correct chain

Correct chain - 1 point.

Wrong chain - 0 points.

If you were a banknote designer, what would you change?

Justify your answer.

Criteria for evaluation:

If you made changes, but did not argue (1-2 arguments) - 1 point

If they didn’t change anything, but didn’t argue (1-2 arguments) - 1 point

Homework

1 group

Remember and write down proverbs, sayings, aphorisms, sayings about money

2 group

Write a mini-essay on the topic "Do not have a hundred rubles, but have a hundred friends"

3 group

Write a fairy tale "Tiynka's Journey"

View presentation content
"Mini Lesson"


Banknotes

KAZAKHSTAN




  • Correct answer: "Counterfeiting is punishable by law" - 1 point.
  • The other answer is 0 points.

Task number 2

  • The correct answer is B - 1 point.
  • The other answer is 0 points.
  • 5-6 correct 1 point
  • Less than 5 0 points
  • 1-obverse, 2-reverse.

Correct answer - 1 point.

Wrong answer - 0 points.


  • The correct answer includes: design, degree of protection against forgery, national flavor, semantic load, aesthetics.
  • If the student gave all the criteria - 2 points.
  • If the student gave 3-4 criteria - 1 point.
  • If the student gave 3-4 correct and several incorrect criteria - 1 point.
  • If the student gave 1-2 or there is not a single correct criterion - 0 points.

Task number 4

- No, I'm not in a hurry. I highly doubt there is a cheaper one anywhere.

- Every year it is more and more difficult to find this bond in quality!

-- A good choice! Good series!

- Aren't there any Christmas sales?

- There's still one left!

Hello, Maxim. Reserve for me

-- I agree. The price is very good!

LL 0056296

Correct chain 1 point

Wrong chain - 0 points.


  • If they made changes to the banknote and argued these changes (3 arguments) - 2 points
  • If they answered that they did not change anything and gave strong arguments (3 arguments) - 2 points
  • If you made changes, but did not give reasons (1 -2 argument a ) - 1 point
  • If nothing has been changed, but no arguments have been made (1 -2 argument a ) - 1 point
  • If there are no arguments - 0 points

Homework

1 group

Remember and write down proverbs, sayings, aphorisms, sayings about money

2 group

Write a mini-essay on the topic "Do not have a hundred rubles, but have a hundred friends"

3 group

Write a fairy tale « Tiynki travel »



Well done!

Congratulations on your successful

completion of work!

Option 1

Task number 1.

One of the important components for maintaining our body in good shape is the use of the required amount of vitamins and minerals. In the spring, immunity is weakened. Iron deficiency leads to serious consequences: slowing down the development of motor skills, impaired coordination, slowing down speech development, as well as a lack of iron in the body leads to the development of anemia.

On Monday, the menu of the school cafeteria for lunch offered: buckwheat porridge (200 g) with a cutlet (100 g) and cauliflower salad (100 g), and on Tuesday the menu offered liver pancakes (150 g) with beetroot salad with prunes (100gr). On what day, after eating lunch, did you get your daily iron requirement? On the menu of which day should I add products containing iron?

Task #2

Task #3

Elena Ivanovna, regularly purchasing shoes for her son, made her choice in favor of the ECCO brand. At the sale of the spring collection of shoes of the ECCO brand in the MART shopping center, a 25% discount was offered on boots for a boy with an initial cost of 19900 tenge, and the lamoda.kz website offers discounts on all shoes of the ECCO brand from 15% -55%. Find out the best way to buy boots.

Task #4

To prepare the same gifts for children, they bought 90 chocolate bars, 150 apples and 210 sweets. What is the largest number of identical gifts you can make?

Task number 5

Which option of holiday discounts is more profitable for the buyer? First: if the store reduces the price of the product first by 20%, then the new price will be further reduced by 30%. Or the second option: the store immediately knocks down the price by 50%. Justify your answer.

Task number 6

The sides of the triangle are equal to A, B and C. Which of the statements is true:

A) C minus B always equals A.

B) C minus B is always greater than A.

B) C minus B is always less than A.

D) None of the options are correct.

Task number 7

A) 2 x 6 x 36

B) 2 x 15 x 16

C) 12 x 8 x 5

D) 3 x 32 x 5

D) 3 x 4 x 40

Task number 8

On both banks of the river grows palm trees, one against the other. The height of one is 20 meters, the other 30 meters. The distance between the bases of the palm trees is 50 meters. At the top of each palm tree sits a bird. In the river, a fish appeared on the surface between the palm trees. Both birds simultaneously rushed to the fish with the same speed and flew up to it at the same time. At what distance from the base of the taller palm did the fish appear?

Task number 9

RACE CAR SPEED

The graph shows how the speed of the racing car changed when it passed the second lap along the three-kilometer ring track without ups and downs.

Question 1: RACING CAR SPEED

What is the approximate distance from the start line to the start of the longest straight section of the track?

Speed ​​Race car speed on a 3 km track

(when passing the second round)

Question 2: RACE CAR SPEED

At what point on the track was the car slowest during the second lap?

    On the start line.

    Approximately at around 0.8 km.

    Approximately at around 1.3 km.

    Approximately in the middle of the track.

Question 3: RACE CAR SPEED

What can you say about the speed of the car when passing the track between the marks of 2.6 km and 2.8 km?

    The speed of the car remained constant.

    The speed of the car increased.

    The speed of the car was reduced.

    From this graph, it is impossible to determine the change in the speed of the machine.

Question 4: RACE CAR SPEED

Below are five different shaped race tracks:

Which of these tracks was driven by the racing car whose speed graph was shown earlier?

S - start line

Task number 10 EXCHANGE RATE

Mei-Ling from Singapore was preparing to go to South Africa for 3 months as an exchange student. She needed to exchange some amount of Singapore dollars (SGD) for South African rands (ZAR).

QUESTION 1.

Mei-Ling learned that the exchange rate between the Singapore dollar and the South African rand was:

Mei-Ling exchanged 3,000 Singapore dollars for South African rand at this exchange rate. How many South African rands did Mei-Ling receive?

QUESTION 2.

After returning to Singapore 3 months later, Mei-Ling had 3,900 ZAR left. She exchanged them again for Singapore dollars, noting that the exchange rate had changed as follows: 1 SGD = 4.0 ZAR

How much money did Mei-Ling receive in Singapore dollars?

Answer:................................................ .....

QUESTION 3.

Over the past 3 months, the exchange rate has changed from 4.2 to 4.0 ZAR per 1 SGD.

Was the exchange rate of 4.0 ZAR instead of 4.2 ZAR in favor of

Mei-Ling, when did she exchange the South African rand for Singapore dollars again? Write down an explanation for your answer.

Task number 11Robbery

In a television broadcast, a journalist showed the following diagram and said:

"The chart shows that, compared to 1998, there was a sharp increase in the number of robberies in 1999."

QUESTION.

Do you think that the journalist made the right conclusion based on this diagram? Write down an explanation for your answer.

Task number 12SKATEBOARD

Sergey is a big fan of skateboarding. He often goes to the Sport store to find out the prices of some goods.

In this store you can buy a fully assembled skateboard. But you can buy a platform, one set of 4 wheels, one set of 2 wheel holders, and a set of metal and rubber parts and build your own skateboard.

The prices in the store for these products are presented in the table:

Product

Price in zeds

(currency unit)

Assembled skateboard

Platform

One set of 4 wheels

One set of 2 wheel holders

One set of metal and rubber skateboard parts (bearings, rubber gaskets, bolts and nuts)

SKATEBOARD

QUESTION 1.

Sergei wants to assemble a skateboard for himself. What is the lowest price and what is the highest price you can pay in this store for all the components of a skateboard?

(a) Minimum price in zeds: .................... (b) Maximum price in zeds:. .......................

QUESTION 2.

The store offers a choice of three different types of boards, two different sets of wheels, two different sets of metal and rubber parts. There is only one choice of wheel holder set.

How many different skateboards can Sergey assemble from the proposed components?

QUESTION 3.

Sergey has 120 zeds and wants to build the most expensive skateboard he can afford with that money. How much money can he spend on each of the 4 parts of the skateboard?

Parts of a skateboard

Amount of money (in zeds)

Platform

Wheel holders

Metal and rubber parts


Record the results in a table

Task number 13 Cubes

Question: DICE

The photo shows 6 cubes, marked with letters from a before f. For each of them, the following rule is fulfilled:

the sum of the circles depicted on any two opposite faces of the cube is always equal to seven.

In each cell of the table, write down the number of circles that are shown in bottom faces of the corresponding cube. (a) (b) (c)

Task number 14 Household waste

For environmental homework, students collected information on the time it takes for some types of household waste that people throw out to decompose.

householdwaste

Timedecomposition

banana peel

orange peels

Carton boxes

Chewing gum

Several days

Polystyrene cups

Over 100 years

The student wants to plot this data on a bar chart.

Question:

Lead one the reason why a bar chart is not suitable for displaying this data.

Task number 15

Find the only possible path from one of the top cells to any of the bottom ones. You can only move to cells whose numbers are divisible by 7. You cannot move diagonally.

Task number 16

Use any arithmetic operations to make the number 100 out of five fives. There may be three solutions

Task number 17

Husband and wife walk together from the hypermarket and each carries several bags of groceries. The husband says: "If I take one package from you, then I will have 2 times more of them than you have. And if you take one package from me, then the number of packages for each will be equal." How many bags does each carry?

Task number 18

Turkeys and goats run around in the farmer's yard. All together have 20 heads and 52 legs. How many turkeys and how many goats run around on the farm?

Task number 19 Geography tests

At Igor's school, a geography teacher offers students tests and evaluates the completion of each of them out of 100 points. Igor's average score for the first four tests is 60 points. On the fifth test, he got 80 points.

Question: What is Igor's average score for five geography tests?

Average rating: ...................................

Task number 20

The city has a reservoir. One of the pipes can fill it in 4 hours, the second in 8 hours, and the third in 24 hours. How long does it take to fill a pond if you open 3 pipes at once?


"Option 2 Pisa"

Option 2

Task #1

Dunno and Gunka decided to go to the cinema and invite Button with them. Look at the movie schedule and friends' plans for this week and decide which movie they can all go to together, following the conditions below the table.

      Real squirrel

      Rio 2

      The beauty and the Beast

      Once upon a time in the forest

      Ollie and the treasure of the pirates

      Grom the cat and the enchanted house

      Kumba

      The Amazing Spider-Man: High Voltage

Task #2

3 tons of potatoes were brought to the vegetable store. When sorting, 120 kg were waste, and the rest of the potatoes were put into identical bags and sent to 3 stores: the first - 300 bags, the second - 320 bags, and the third - 340 bags. How many kilograms of potatoes were sent to each store?

Task #3

There were three candidates for the post of mayor of the city: Alekseev, Borisov and Volodin. During the elections, 1.5 times fewer votes were cast for Volodin than for Alekseev, and 4 times more for Borisov than for Alekseev and Volodin together. What percentage of voters voted for the winner?

Task #4

Without improvised means, find from the examples below the one whose result (product of numbers) differs from the rest.

A) 2 x 6 x 36

B) 2 x 15 x 16

C) 12 x 8 x 5

D) 3 x 32 x 5

D) 3 x 4 x 40

Task number 5

One train left city #1 for city #2 at a speed of 40 km/h. Another train left to meet him, going from city number 2 to city number 1 at a speed of 60 km/h. Both of them go non-stop at a constant speed. How far apart will these trains be 1 hour before they meet?

Task number 6

The motorist looked at the meter of his car and saw the symmetrical number 15951 km (read the same way from left to right or vice versa). He thought that, most likely, another symmetrical number would not appear soon. However, after 2 hours, he discovered a new symmetrical number. At what constant speed did the motorist travel during these two hours?

Task number 7

One gentleman made a will totaling $14,000. Additional conditions of the will: if the wife gives birth to a son, then the son will get twice as much as the mother. If a mother gives birth to a daughter, then the daughter will get half as much as the mother. As a result, twins were born: a son and a daughter. How to properly divide a will?

Problem #8 GARDENER

The gardener has 32 m of wire with which he wants to mark the border of the flower bed on the ground. He needs to choose the shape of the flower bed from the following options.

Question. Circle the word "Yes" or "No" next to each flower bed shape, depending on whether or not the gardener has enough 32 m of wire to mark its border.

Flowerbed shape

Will there be enough wire to mark the border of the flower bed?

Form D

Task number 9

Task number 10 Communication on the Internet

Mark (from Sydney in Australia) and Hans (from Berlin in Germany) often communicate with each other on the Internet. They have to go online at the same time so they can chat.

To determine a convenient time for communication, Mark looked at the tables, which give the time in various parts of the world, and found the following information:

Question 1: COMMUNICATION ON THE INTERNET

What time is it in Berlin if it's 19.00 in Sydney?

Answer: ................................................ ....


Question 2: COMMUNICATIONATINTERNET

Mark and Hans cannot communicate between 9:00 am and 4:30 pm their local time, as they must be at school during that time. They also cannot communicate between 11 pm and 7 am in their local time, as they will be sleeping during that time.

What time would be convenient for the boys to chat? Enter the local time for each city in the table.

City

Time

Task #11 Export

The charts provide information on exports from Zedland, a country that uses units use zed.

AnnualexportfromZedlandinmillion zeds,1996-2000 gg.

Export distributionfromZedlandin2000

Question 1:

What is the total value (in millions of zeds) of Zedland's exports in 1998?

Answer:................................................ .....

Question 2:

What is the value of fruit juice exported from Zedland in 2000?

A1.8 Million Zeds B2.3 Million Zeds C2.4 Million Zeds D3.4 Million Zeds E3.8 Million Zeds

Task number 12 Colored candies

Question 1: COLORED CANDIES

Robert's mother allowed him to take one candy out of the box without looking into the box.

The number of candies of different colors in the box is shown in the diagram.

What is the probability that Robert will take out a red candy?

Problem #13 Bookshelves

To assemble one set of bookshelves, the carpenter needs the following parts:

4 long wooden panels,

6 short wooden panels,

12 small staples

2 large staples and

14 screws.

The carpenter has 26 long wood panels, 33 short panels, 200 small staples, 20 large staples, and 510 screws.

Question 1: BOOK SHELVES

Which the largest number of sets bookshelves can be assembled from these parts by a carpenter?

Answer: ....................................................

Problem #14 Choice

In a pizzeria, you can always get a pizza with two obligatory toppings: cheese and tomatoes. But you can order pizza according to your recipe with additional fillings. You can choose from four different optional toppings: olives, ham, mushrooms and sausage.

Vera wants to order pizza with two additional fillings.

Question :

How many options does Vera have to choose from different combinations of additional toppings?

Answer: number of options ..............

Problem #15 Test scores

The bar graph below shows the performance of the biology test by groups of students designated as Group A and Group B.

Group A's mean score is 62.0 and Group B's mean score is 64.5.

A student is considered to have passed the test if their score is 50 or more.

Looking at the chart, the teacher concluded that Group B did better on the test than Group A.

Ratingsondoughonbiology



6

Numberstudents

Ratings

Group A students do not agree with her opinion. They try to convince the teacher that the Group B students did not necessarily do better on the test.

Using the diagram, give one mathematical argument that could take advantage Group A students.

Task number 16 Stairs

On the image the staircase is depicted with 14 steps, the height of which is 252 cm.

Question :

What is the height of each of the 14 steps?


Length 400 cm

Height: ................................................. cm.

Task number 17 The sequence of "ladders"

Robert draws subsequence"ladder" made of squares. The construction steps are shown below.

Stage 1 Stage 2 Stage 3

You can see that he used one square in step 1, three squares in step 2, and six squares in step 3.

Question 1:

How many squares does he use in the fourth step?

Answer: quantity squares............

Task number 18 Best car

The automobile magazine uses a rating system to evaluate new cars and awards Car of the Year to the car with the highest overall score. Five new cars were evaluated and their ratings are presented in the table.

Security

Fuel economy

Appearance

Indoor amenities

3 points - Excellent

2 points - Good

1 point - Not bad

Question :

To calculate the overall rating of a machine, the magazine uses a rule that determines the weighted sum of all points earned machine:

Total score = 3 · S+ F+ E+ T.

Calculate the overall rating of the car "Ca". Write down your answer below.

Overall grade "Ca": ..............................

Task number 19

It is necessary to find a way from some square in the top row of the grid to a square from the bottom row, passing only through cells with numbers divisible by 3 without a remainder. You cannot walk diagonally.

Task number 20

Using any arithmetic operations, make the number 100 from five units.

View document content
"Answers Option 1"

Answers Option 1

Task #1

In the menu of the first day, it is necessary to add foods containing iron, since the liver contains more iron than buckwheat and meat.

Task #2

Task #4

Answer: 30 gifts

Task 5

Answer
The second option is always better, because the second discount goes to the reduced price and in general the size of the discount will be less.

Task 6

Answer
C) C minus B is always less than A. Solution: it is known that a triangle always has two sides in total greater than the third. For example, A + B C. If B is transferred to another part of the inequality, then we get A C - B.

Task number 7

Answer

Task number 8

Answer
Solution: using the drawing in the figure below and the Pythagorean theorem, we get: (symbol ^ means exponentiation) AB^2 = 30^2 + x^2, AC^2 = 20^2 + (50 - x)^2. But AB = AC, because Both birds covered the same distance in the same amount of time. So 30^2 + x^2 = 20^2 + (50 - x)^2. Expanding the brackets and making cuts, we get: 100x = 2000 or x = 20.

Task number 9

Question 1: Answer B

Question 2: Answer C

Question 3: Answer B

Question 4: Answer B.

Task number 10

Question 1: 12600 ZAR

Question 2: 975 USD

Question 3:

    Yes, at a lower exchange rate (1 SGD) Mei-Ling will get more Singapore dollars for his South African rand.

    Yes, 4.2 ZAR for one dollar would give 929 ZAR. [Note: The student wrote ZAR instead of SGD, but it is clear that the calculations and comparison are correct, so this error should not be taken into account]

    Yes, because she received 4.2 ZAR for 1 SGD and now she only had to pay 4 ZAR for 1 SGD.

    Yes, because each SGD is 0.2 ZAR cheaper. Yes, because when you divide by 4.2, the result is less than when you divide by 4.

    Yes, the exchange was in her favor, because. if the rate had not decreased, then she would have received 50 less dollars.

Task number 11

Answer: "NO, the conclusion is incorrect." The explanation is based on the fact that only small part diagrams. In 1998 there were 507 robberies, and in 1999 - 516. Therefore, the number of thefts increased by 9, and since the diagram is not presented in full, we cannot judge the percentage increase in the number of thefts.

Task number 12

Question 1: minimum (80) and maximum (137).

Question 2:(D) - 12.

Question 3: 65 zeds for the platform, 14 for the wheels, 16 for the wheel holders, 20 for the rest of the parts.

Task number 13

Answer: Top row: 1, 5, 4, bottom row: 2, 6, 5.

Task number 14

Question: The reason is focused on big difference between data for some types of waste.

    The difference in column heights in a bar chart would be too large.

    If we take a column of 10 cm for polystyrene, then a column for cardboard boxes will be 0.05 cm high.

The reason is focused on uncertainty data for some types of garbage.

    The height of the column for "polystyrene cups" is indeterminate.

    You will not build one bar for data 1-3 years or one bar for data

Task number 15

Answer:

Task number 16

Answer: 1) 5 x 5 x 5 - 5 x 5 = 100; 2) (5 + 5 + 5 + 5) x 5 = 100; 3) 5 x 5 x (5 - 5: 5) = 100.

Task number 17

Answer
Husband = 7, wife = 5. Solution: Let's say that the husband carries "y" packages and the wife carries "x" packages. Then from the condition of the problem we obtain two equations: 1) y + 1 = 2 * (x - 1); 2) y - 1 \u003d x + 1. Substitute x from equation 2 into equation one: y + 1 \u003d 2 * (y - 3) \u003d 2y - 6 or y \u003d 7. Substituting "y" in any of the two equations we find x = 5.

Task number 18

Answer
14 turkeys and 6 goats. Solution: there are 20 animals in total. If there were only turkeys, then they would have 40 legs, and there are 52 of them, i.e. 12 more feet. Each goat has 2 more legs than a turkey. Therefore, it is necessary to divide 12 by 2, we get 6. As a result, out of 20 animals on the farm, there are 6 goats and, accordingly, 14 turkeys.

Task #19

Question: 64 points

Task number 20

Solution:

View document content
"Answers Option 2"

Answers Option 2

Task #1

Answer: movie rio 2

Task #2

Solution:
1) 3000-120=2880
2) 300+320+340=960
3) 2880: 960=3
4) 3∙300=900
5)3∙320=960
6) 3∙340=102

Task #3

Solution:
Volodin - x
Alekseev - 1.5 x
Borisov - 4(х+1.5х)

1) x + 1.5x + 4 (x + 1.5x) \u003d 12.5x
2)
12.5 x - 100%
10x - ?
10x∙100: 12.5x=80

Task #4

Answer

A) 2 x 6 x 36. You can see that all options except 2 x 6 x 36 are divisible by 5.

Task number 5

Answer
Obviously, in 1 hour the first train will travel 40 km, and the second 60 km. As a result, 100 km.

Task number 6

Answer

Solution: The next symmetrical number is 16061. The difference is 16061 - 15951 = 110 km. If you divide 110 km by 2 hours, you get a speed of 55 km/h.

Task number 7
Answer

Solution: Of the amount of the will, the daughter should receive one part (x), the mother two parts (2x), and the son four parts (4x). Result: 4x + 2x + 1x = $14,000 or x = $2,000. As a result, the son will get $8,000, the mother $4,000 and the daughter $2,000.

Task number 8

Form A - yes

Form B - no

Form C - yes

The formD - Yes

Task number 9

No, Yes, Yes, No.

Task number 10

Question 1: 10 am or 10.00 am

Question 2: CHATTING IN INTERNET

Answer: Any two times or intervals of times that differ by 9 hours and belong to one of the following intervals:

Sydney: 16.30 - 18.00; Berlin: 7.30 – 9.00

Sydney: 7.00 - 8.00; Berlin: 22.00 – 23.00

Sydney - 17.00, Berlin - 8.00 (or Sydney - 5 pm, Berlin - 8 am)

Task number 11

Question 1: 27.1 million zeds or 27100000 zeds or 27.1

Question 2: E. 3.8 million zeds.

Task number 12

Question: IN 20 %

Task number 13

Question: 5

Task number 14

Question: 6

Task number 15

Answer: One correct argument is given. The correct argument may be related to the number of students who passed the test, the disproportionate impact on the results of the entire group of the results of the weakest student, or the number of students who received the highest marks.

    More students in Group A passed the test than in Group B.

    Except for the score of the weakest student in Group A, the students in Group A performed better than the students in Group B.

    Compared to students in Group B, more students in Group A received grades

80 or more.

Task number 16

Question: 18

Task number 17

Question: 10

Task number 18

Question: 15 points

Task number 19

Task number 20

Answer: 111 - 11 = 100

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The PISA-2021 study will test the mathematical literacy of Russian schoolchildren. ... Results and sample items of the PISA 2015 study.

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Understanding the text in the lessons of the Russian language and literature

Let us clarify that reading literacy in the PISA study is understood as the ability ... Fazil answers this question in his interview with the Russkiy Yazyk newspaper .... By performing such tasks, schoolchildren not only train their ...

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Reading Literacy Tasks

General characteristics of the task Subject: Russian language (speech development).

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Tasks for pisa in Russian

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StudyPISA-2021 will test the mathematical literacy of Russian schoolchildren.

In 2021, the main focus of the PISA survey is math literacy.

What lies at the heart of the study can be found out now, as the new Concept of the "mathematical literacy" direction of the PISA-2021 study has been published (Scheme 1).

The PISA 2021 survey will measure how effectively countries' educational systems prepare students to use mathematics in all aspects of their personal, social and professional lives.

The concept explains the theoretical foundations of the assessment of mathematical literacy in the PISA study, and also includes the official definition of the concept of "math literacy".

PISA 2021 will use the following definition:

Mathematical literacy is the ability of a person to think mathematically, formulate, apply and interpret mathematics to solve problems in a variety of practical contexts. It includes concepts, procedures, and facts, as well as tools for describing, explaining, and predicting phenomena. It helps people understand the role of mathematics in the world, make well-informed judgments, and make decisions that should be made by constructive, active and reflective citizens in the 21st century.”

The definition of math literacy emphasizes the use of mathematics to solve practical problems in a variety of contexts.

In the mathematics concept of the PISA-2021 study, a key component of the concept of mathematical literacy is mathematical reasoning.

The ability to reason logically and formulate arguments persuasively is a skill that is becoming increasingly important in today's world. Mathematics is the science of well-defined objects and concepts that can be analyzed and transformed in a variety of ways, using mathematical reasoning to draw conclusions.

As part of the study of mathematics, students learn that, using the right reasoning and assumptions, they can get results that are trustworthy.

In general, the concept describes the relationship between mathematical reasoning and the three processes of the problem-solving cycle (formulation, application, interpretation, and evaluation).

Within this conceptmathematical contentdivided into four categories:

  • Quantity
  • Uncertainty and Data
  • Change and dependencies
  • Space and form

In addition, in the concept of mathematics were addedeight habits of the 21st century:

  • Critical thinking
  • Creativity
  • Research and study
  • Self-regulation, initiative and perseverance
  • Use of Information
  • systems thinking
  • Communication
  • Reflection

The PISA study is conducted cyclically: once every three years. The Russian Federation has participated in all PISA cycles since the first cycle in 2000.

Each cycle focuses on one of three areas of study: reading literacy, math literacy, and science literacy.

Mathematical literacy was at the center of the study in 2003 and 2012.

PISA 2021 Mathematics Concept

Scheme 1. The concept of the direction "mathematical literacy" of the PISA-2021 study

Types of questions and tasks for PISA texts.

What is reading literacy? In the international studies PISA and PIRLS, reading literacy is proposed to be understood as the ability of a student to comprehend written texts and reflect them, to use their content to achieve their own goals, develop knowledge and opportunities, and actively participate in society. The word "literacy" refers to the success of students in mastering reading as a means.

Checked types of activities in tasks of the PISA format.
The assessment of reading literacy should take into account the following five aspects of it, the mastery of which indicates a complete understanding of the text:
- general orientation in the content of the text and understanding of its integral meaning (20% of tasks);
- identification of information (20% of tasks);
- text interpretation (30% of tasks);
- reflection on the content of the text (15% of tasks);
- reflection on the form of the text (15% of tasks);

All aspects of reading are interconnected, and the successful completion of the other depends on the completion of one of them. Full understanding of the text assumes a certain level of competence of the student in each of the aspects. This level is revealed with the help of questions and instructions for completing tasks.
To identify the general orientation in the content of the text and understand its holistic meaning, it is appropriate to determine the main theme, the general goal or purpose of the text. To do this, tasks are offered to choose from the text or the student himself to come up with a title for it, formulate a thesis expressing the general meaning of the text, explain the order of the instructions offered in the text, determine the main components of the graph or table, explain the purpose of the map or drawing, the type of book edition and the nature of the texts included in it, etc.
Tasks aimed at identifying a general understanding of the text can invite students to find a correspondence between a part of the text and the general idea formulated by the question, a part of the text and a specific footnote given by the author to it. It is possible to suggest choosing the most general, dominant one from the formulated ideas of the text, which will show the student's ability to distinguish the main ideas from the secondary ones or to detect it in the title of the text and the formulation of its main theme.

There are various types of tasks that allow you to develop and test reading skills. Here is a list of some types of tasks in accordance with the developed and competencies.
Multiple choice tasks:
1) choosing the correct answer from the proposed options;
2) identification of variants of statements that correspond / do not correspond
the content of the text / not related to the text;
3) establishing the truth / falsity of information in relation to the content of the text.
Matching tasks:
1) finding a correspondence between questions, titles, statements,
plan points, pictures, signs, diagrams, diagrams and parts of text
(short texts);
2) finding words, expressions, sentences corresponding to the content of the text,
3) pictures, diagrams, etc.;
4) correlation of these words (expressions) with words from the text (finding
synonyms / antonyms)
Tasks for supplementing information:
1) filling in the gaps in the text with sentences / a few words / one
word;
2) addition (completion) of sentences.
Tasks "to transfer information":
1) filling in the tables based on what they read;
2) addition of tables/diagrams based on what has been read.
Tasks "to restore the deformed text":
1) the location of the "mixed up" fragments of text in the correct
sequences.
Tasks with answers to questions can have different goals and
accordingly vary in degree of complexity.
Depending on the purpose and specific content, questions can be divided into three main groups.
1. Search and purposeful extraction of information (“Common understanding
text" and "Identification of information"):
finding factual material - basically questions who (what)? where?
when? what did (s) do?
definition of the topic;
identifying information that is not explicitly expressed in the text.
2. Generalization and interpretation of the content of the text ("Interpretation of the text"):
finding the given information in the text;
finding data in the text illustrating a certain thought;
using information from the text to support their point of view;
establishing semantic links between parts of a text or two (several) texts;
definition of the main thought (idea) of the text;
correlation of a particular detail with the general idea of ​​the text;
clarification of the intentions of the author of the text;
interpretation (commenting) of the title of the text;
formulating a conclusion based on the analysis of the information presented in the text.
3. Evaluation of the content and form of the text, reflection (“Reflection of the content” and
"Reflection of the form of presentation of the text"):
comparison of the content of the text with one's own opinion;
correlation of text information with own experience;
assessment of the actions (actions) of the heroes of the text;
substantiation of one's point of view on the basis of previously known information and information from the text;
assessment of the statements contained in the text, taking into account their own knowledge and value system;
definition of purpose, role of illustrations;
"foreseeing" the behavior (actions) of the heroes of the text, the sequence of events;
"prediction" of events outside the text, based on the information contained in it;
definition of the genre and style of the text;
clarification of the type of speech (description, narration, reasoning);
finding means of artistic expression and determining their functions.

Answer sheet and recommendations for grading
Exercise 1
Activities: Reflection and evaluation (search, analysis and argumentation of the necessary
information).
Difficulty level (reading literacy): 3
3 points - the answer should contain the keywords: "high blood pressure,
arthritis, 75 years old”, “hard to hold a cat” and “moisten with plenty of water, rub in, rinse thoroughly”, “apply to dry skin along the spine”.

2 points - the answer contains information that the neighbor is elderly and it is difficult for her to do complex manipulations (synonyms) with the animal.

1 point - the answer given the choice of the drug without justification. Drops "Murzik".

0 points: - other answers (insufficient, unclear, not related to the question).