Comprehensive work in mathematics "Actions with decimals Comparison and rounding of fractions" Class 5

The author's development is presented as a comprehensive work to summarize and systematize knowledge on the topic "Actions with decimals Comparison and rounding of fractions" The tasks are intended for 5th grade students. The novelty of this work is meta-subject connections and compliance with the requirements of the Federal State Educational Standard. When performing tasks, students show computational skills with decimals, working with text, and analyzing the situation.
The main purpose of the work is: determine the level of formation of meta-subject results among 5th grade students in mastering the topic "Actions with decimals. Comparison and rounding of fractions".
Tasks: establish the level of mastery of key skills (formation of reading skills, ability to work with text, understand and follow instructions), allowing you to successfully advance in mastering educational material at the next stage of training.

Instructions for students

To do this job, you will need to read the text and complete the proposed tasks. When doing the job, you can go back to the text you read, re-read and review it to find answers to questions.
The questions will be different, some of them will require calculations. Calculations and answers will need to be written in a specially designated place in question.
Try to answer all the questions If you can't answer some question, go to the next. Once you've finished the work, try answering the missing questions, then check everything you've done.
We wish you success!

Polar bear

The Far North of our country is part of the ice zone within which the Arctic Ocean is located. The total area of the Arctic Ocean is approximately 13 million m2.
One of the representatives of the fauna of the Far North is the polar bear. The polar bear is the largest living terrestrial predator (the maximum length of these animals is 3 m, the maximum weight is 800 - 1000 kg; the average length of the male is 2 m and the weight is 600 kg; the average length of the female is 1.5 m, its weight is 300 kg).Three conditions are required for the existence of a polar bear: ice, open areas of the sea and a coastal strip.
The polar bear is perfectly adapted to the harsh conditions of the Arctic and the semi-aquatic lifestyle. A thick layer of fat and long coat of dense hair protect the body from cooling, which allows the bear to stay in the water for a long time. The wide paws form a significant rowing surface, so the bear swims well, gaining speeds of up to 5 - 6 km/h.
The white color of the coat makes the bear inconspicuous against a background of snow and ice; this makes it easier for it to hunt seals, especially since it covers its black nose with its paws when it approaches prey.
Noticing prey near the hole, the polar bear carefully creeps up on it, spreading out on its belly, makes a swift throw and throws the prey onto the ice with a well-aimed paw strike. At one time it eats 7.2 kg of food.
The ability of polar bears to accumulate a layer of subcutaneous and internal fat and slowly consume its reserves is of great importance for females, who live exclusively on these reserves in the den in winter.
Since autumn, the female bears have been gathering in the Franz - Joseph Land archipelago and Wrangel Island, where they find suitable places to nest in dens, give birth and feed their offspring In November - December, the female gives birth to 2 - 3 tiny bear cubs (800 g each).Before leaving the dens, the cubs feed on their mother's milk, which is fatty like cream.
In our country, polar bears have been listed in the Red Book as their numbers have begun to decline. Currently, there is a sanctuary for polar bears on Wrangel Island, where the number of these animals has almost been restored.

Tasks to complete:

Task 1: Express the weight of a white adult bear in tons:

Task 2: How much does a polar bear eat in 7 meals?

Task 3: How many meters is the body of an adult bear shorter than the body of an adult bear?

Task 4: Determine the weight of a bear family, which consists of an adult bear and a bear and two cubs:

Task 5: Compare the distance a polar bear will swim in 3 hours at a speed of 5.8 km/h and in 4 hours at a speed of 5.2 km/h:

Task 6: On which island is there a reserve for polar bears?

Task 7: Why is the polar bear adapted to live in the Arctic?

Task 8: What ocean washes the Far North of our country?

Task 9: What time of year are cubs born?

Task 10 (optional):
In winter, bears sleep in an earthen den. They prepare for hibernation, accumulate subcutaneous fat and internal fat. If a bear fails to sleep or is awakened, then it turns into a dangerous beast. Such bears have a special name. Which?

{module Yandex}
To do this, you need to solve examples:

1. 2.45 + 0.312 =
2. 18,509 + 3,912 =
3. 31,405 + 2,097 =
4. 0.6335 + 0.246 + 0.7084 =
5. 3.785 + 97.03 + 0.429 + 5.31 =

Round the answer to one, write them in descending order, replace the answers with letters, and you read the bear's name.

Evaluation criteria: (quality of work)

from 75 % - 100% great,
from 51% - up to 74% ok.
50% satisfactory,
up to 50% unsatisfactorily

Literature:

1. Mathematics. grade 5: educational. for general education. institutions/[N.Ya. Vilenkin et al.] - 23rd ed.,ispr. - M.: Mnemosyne, 2008. - 280s., ill.
2. Gerasimov V.P. Animal world of our Motherland: A manual for teachers of the beginning. classes. - 2nd ed., ex. and additional - M.: Enlightenment, 1985. - 208c., ill. ISBN 978-5-346-00899-6.
3. Nature of Yamal/Call by Ekaterinburg: Science Institute, 1995. ISBN 5-02-007435-7.

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