Olympic tasks in mathematics. School Stage (Grade 5)
All-Russian Schoolchildren Olympiad in mathematics. School stage.
Grade 5.
1 (7 points) The amount of its numbers added to the number and received the 2017 an example of such a number.
Examples: 2012, 1994 Other numbers are not suitable.
Criteria. Any of these numbers are given: 7 points.
Any other number is given: 0 points.
2 (7 points ) The girl replaced every letter in her name her number in the Russian alphabet. It turned out the number 2011533 as her name?
Answer: Tanya.
There may be other sequences of letters, but only one of them is name.
Criteria. The name of Tanya is obtained: 7 points.
Any other sequence of letters is obtained: 0 points.
3 (7 points) The seller purchased the party of the handles and sold them. At the same time, some buyers bought one handle for 10 rubles, and some bought 3 handles for 20 rubles. It turned out that from each purchase, the seller received the same profit. Find the price for which the seller purchased the handles.
Answer: 5 rubles.
Decision. Let the purchasing price of the handle x. Then profit for one handle 10 - x, for 3 handles 20 - 3x. Solving equation 10 - x \u003d 20 - 3x, we obtain x \u003d 5
It does not justify that the procurement price of the handle should be 5 rubles, but it is checked that in this case the condition is performed: 4 points. Only the correct answer without any explanation: 2 points.
4 (7 points) The puppy-student pulled the web between 11 points so that his webs did not intersect anywhere, and at the end returned to the starting point. The teacher's spider praised him, and only noticed that the real masters observe the same conditions, but stretch the "right" web, which does not lie on one straight line. Help the pack connect all 11 points in the figure "right" web.
Criteria. Any faithful example: 7 points.
An example in which some segments lie on one straight line, but no neighboring segments on one straight are not lying: 4 points. An example in which there are neighboring segments lying on one straight line: 0 points.
5 (7 points) Square window opening is formed by two rectangular frames. Inside each of them they wrote a number equal to the perimeter of the frame. Write what is equal to the side of the square of the entire window opening and explain what they were received.
Answer: 5.
Decision. Let the sides of the square equal to A, and the width of the left rectangle is equal to b. Then the width of the right rectangle is equal to A-B. The left rectangle gives a ratio of 2a + 2b \u003d 14, and the right rectangle gives the ratio of 2a + 2a-2b \u003d 16. After laying these two relations with each other, we obtain 6a \u003d 30, from where a \u003d 5
Criteria. The right solution in any way: 7 points.
The logically correct decision of the solution, but due to an arithmetic error, the answer is wrong: 3 points. The example is selected, where the rectangles really have the right perimeter, but not explained how the lengths of their parties are obtained: 2 points. Only the correct answer without explanation: 1 point.
School stage. 4TH GRADE
№1. (7 points)Arrange brackets so that faithful equality is:
90 − 72: 6 + 3 = 82 .
№2. (7 points)In five boxes lies equally apples. When 60 apples were taken out of each drawer, after that everything remained as much apples as they were before in two boxes. How many apples were in every box?
№3. (7 points)The rectangle is smashed into squares, its number is written inside each square. It is known that the side of the square number 1 is 18 cm, and the side of the square number 2 - 3 cm. Find the sides of all other squares.
№4. (7 points)Dwarf in shoes weigh 2 kg more than a gnome without shoes. If you put five identical dwarves on scales in shoes and five of the same gnomes without shoes, the scales will show 330 kg. How much does the gnome weigh in shoes?
№5. (7 points)The puppy-student pulled the web between 11 points so that his webs do not intersect anywhere, and at the end returned to the starting point. The teacher's spider praised him, and only noticed that the real masters observe the same conditions, but stretch the "right" web, which does not lie on one straight line. Help the pack connect all 11 points in the figure "right" web.
Already passed the whole year. Interesting, this is a lot or a little? Rather, the first than the second, but I did not even notice how it flashed all this time. And from that day a lot has changed. You know, there are people in the world living a double life. I managed to stand out. She, a kind, triple. In the morning and in the afternoon I am an ordinary guy who is interesting only to a few relatives and friends, at night - a spiderman, a friendly neighbor and the Savior of the city, and in the evening a student of one of the most dangerous mercenaries. And, most funny and incredible, none of them guess that Peter Parker, Spiderman and the Hunter - the same man. True, this is expensive to me. On the dream and preparation for the life of the usual, unremarkable for the strengths of this, the guy remained just about six hours. However, they treated each alter-ego in different ways. For Taskmaster, I was a student, about twenty-twenty-twenty two and, according to his own words, a diamond, which he will soon begin to limit. He replaced my father and uncle. Although we never saw each other's persons that in the circles of mercenaries a completely normal phenomenon, for these eleven months we had a rather close relationship, which I was happy. For residents of New York, I was a man of thirty years old, but the opinion of the person was divided. The most popular were the versions about the mutant, scientist and billionaire. Although the first two and were relative to truth. But the reality was pretty cruel in relation to the speculation. I was just at the seventeen year old nerd. But briefly. Tomorrow I am eighteen. Significant date, isn't it? However, this will change little. Especially considering the fact that I still study at school for three more months. Then, definitely, my life will change once again, but until then you need to live. Haming his thoughts sharply shoot a web, attaching caught off on hot criminals to the wall of the police department right in front of an amazed officer. Apparently new or extremely impressionable. The rest has long been accustomed to this regularly repeating already within half a year the act of vandalism over the police station. By the way, I even had fans. One of these groups has painted a web on the wall of the Puttin, signing below that this is a place for my prey. When I saw the first time - I was surprised immensely. And first there were even attempts by law enforcement authorities to remove the network from the wall, but every time she appeared again. To confess, I was even interested who will surrender first. Nobody wanted to give up, so they made a compromise. The clock, regularly checking network, the camera broadcasting everything in real time for one of the sites dedicated to me, which very quickly began to be referred to as official, and the next graffiti applied, this time, phosphorizing indelible paint. He developed on the kindness of spiritual, impressive by the support of people, and attached to the wall with a note from herself and two regular bandygami. It was just a month ago. And now I am almost every night I am pleased with this pretty web with a stylized image of my mask in the center. My costume, by the way, was also with a story. I had to read a lot of articles and squeeze the money to deal with the materials and knowledge necessary for its creation. And precisely because of him, I first called the hunter. This is later, after watching my frills on the streets of the night city, Dale Bugl made me by my current nickname. Although the old one was not forgotten. And I decided that this would be my name for the world of mercenaries, if they still have to have a matter with them or become one of them. The spectrum of available materials was quite narrow, but I received the minimum satisfactory result. At first, enough, but soon I plan to change it. Dark burgundy in the brightly aluminum mesh in front and on the shoulders, in the rest of the places the costume had a radically black coloring. In addition, it was a black and a hood with identical, in color, chest insides and the same symbol on the back. Yes, yes, it is a spider. It was necessary to perpetuate how it all began. Yes, I'm so sentimental, I can do nothing with me. Although it is not even so much sentimentality as a desire to remember their mistakes. After all, I do not accept the very first crime, uncle would be alive. Shaking, I take a step from the edge of the roof of the altitude, which was climbed after I carried out "delivery to the house" in the area. The indescribable feeling of a free fall and here the shear of the web makes me, instead of growing along asphalt, lay a steep turn and at great speed to take over to the top, where, on a second, hanging out, release a new spider thread. Another three similar movements and I, making a flutter landing on the roof of a residential building in the old area. It is just on the border with hellish cuisine in which Sorvigolov fills all. And it gives me the opportunity to periodically hide my belongings here, remaining uncompaired and in my property. Disguise the case of a minute, since my current suit consists of two parts. Looking back to a mask and a buys in a bag. Following the upper part of the costume, and I pull on myself with no remarkable gray sweatshirt with a print of a black fangy emoticon on the chest. I hang a backpack on my back and pulling the hood stronger, heading towards the fire stairs. On my feet, I had the usual black pants from the costume and high burgundy sneakers with lacing. Dressed a little earlier fabric mask depicting the jaw skeleton with the usual movement closes the lower half of the face. Quick descent and so I go out of the stupid deadlock on the lit street. Now I need to go through two more blocks and to get across a similar door with a small car service. Another ten meters and two doors later to attach a hand to the wall and to catch a certain rhythm, and then it is imperceptible to press a little stronger to the stone after the last strike. A narrow opening appears only five seconds and it is just enough to go. The passage is silently closed behind my back and I expectantly frozen in place. After a moment, the light lights up and I begin to go deep into the asylum. Although it is, in fact, and is not. Rather, this is a training complex, mini warehouse and a transshipment point for an emergency. The master in principle for a long time in one city is not delayed. Unless of course finds an interesting object. That time he found me and now stay in the city at least a month. Although there are also variations here. Depending on my efforts, the duration of training could last from several months to a year, because what the teacher seems to seek is the disclosure of my strengths and assistance in the bookmark of the Personal Style Foundation. It is necessary to develop further. Let I still do not understand why he did not take me to his school, but teaches individually. I strongly doubt that the case is in the legislation. And I do not mind all the redundant. Rather, even categorically for. After all, if everything is done for me, it will not be my achievement. And personalized student ... here and explanations of unnecessary. The master understands and as far as I understood, even approves. In any case, otherwise I could not identify his views in my address when I came in the middle of the night, as now, and continued training. And I ... sometimes it was necessary for me. The acute need is to throw out everything too much and focus only on movements and light pain in naked muscles, after changing to pleasant fatigue. But in the head fought full calm. No feverish thoughts. The sluggish semi philosophical reflections came to replace them, which soon blinked by sleep. So now. I pass through the locker room, delaying only to hide the hair under the bandana and check from a small mirror on the wall in the shower, I did not forget about the lenses. Initially, they were needed for one purpose for one purpose: to hide your identity from the master. But now perform another feature. I specifically chose such lenses, in which even with a strongly narrowed pupil will not be so noticeable by the native color of the eyes. And as a result, limited his viewing angle, which gave me an advantage. I learned to react correctly even on what I have not seen, focusing only on rumor, the game of shadows in front of himself and the flair. Let it initially it was difficult, but now I have much more opportunities. Click switches and in the hall where I came, light lights up. There are no teachers, and therefore you can cut a little on your own. The small panel on the wall leads a huge underground training complex in motion and I start my warm-up. I took web shooters in advance, in order to avoid all sorts of excesses, and in order not to stick to the surfaces on my legs, I now have heavy shoes on the lacing, and on your hands tight gloves. Still, when you completely turn off the consciousness and act on bare instincts, you use all the available funds that it is categorically impossible to do. I pass the bar of obstacles, driving from the attacks of the programmed installations, gradually remove from what is happening and even cover your eyes. In the ears of the blood, measured breathing and light noise of the technique, in the head - emptiness, and in the eyes - darkness. Step, turn, a block of hand of the attack on the right of the robot and immediately break the distance. From the place where I just had a hiss comes, but it already doesn't matter, right now I'm leaving to the side, immediately jumping on my feet and blocking the punch of the next opponent. It sounds like this is all easy and simple, right? If ... The fact is that now I have a limited set of opportunities, however, as in two other sides of my personality. And plus I limited myself additionally. I had to tinker, but I managed to create a serum that joined my spider abilities. Yes, not completely, yes for a while, but even this little allowed me to develop my own forces separately from spicy abilities, which in the aggregate gave me to where more advantages. From a kind of trance I brought me off. I knew exactly what was sure, but the attack turned out to be double, which means this is not a typical training program. No, the usual multistage attacks were present, but in the launched warm-up program, the piercing-cutting weapon was absent as a view. So I am more than one in the complex. I sharply smash my eyes and drove away from weapons, and then knocking him out of the hand of the attacker and nano with a stitching blow to the neck area, punching it through and tasty vital for iron wires. Minus one, but three and, in addition, light bulbs on the trains under the ceiling and in the corners are sometimes lighting up, although the guns themselves are still at rest. But the attackers of robots on the contrary were highly active. One of them rose into the air, the second retreated with a weapon to the advantage and now he is aimed at from afar, and the latter sharply went on rapprochement. The fight in full contact during which I am in addition to attacks, counterattacks and protection are also followed by two other opponents, one of which is picked, it is trying to go from the back, and the second shoots me with small queues of two or three cartridges. But now I finally manage to cut the enemy and send it to the flight to the nearest wall, and then, bouncing, hook a few wires in your weapon in your hand in hand to be able to almost freely get closer to the arrow. After passing a part of the distance catching on the tailoring of the second attacker and, finally, finishing it, I use how the shield going on rapprochement. In the end, he also goes to knockout, and I have to show miracles of dexterity, so as not to get under the shells flying out of them, and a great set. Somewhere paint, somewhere sleeping pills, and somewhere quite a real explosive and guess what exactly and where it will not appear from it, as it is identical to the "gift packaging", but when you hit the whole sadistic essence of their creator . Yes, in this matter I and the master found each other. We made this installation, filling for her and wrote the program we joint efforts. True, improved by the teacher. He had more experience and is better visible from the side how to win me. He basically has a rather great experience in this part. What is just worth his ability to take the style of the attacker in a few minutes and instantly use it against him. I tried to understand how he does it, but did not particularly succeed, although he even tried to adopt this skill a couple of times. No, once something like that, but ... As a result, a person whose movement I copied, I could not fulfill it myself. For me it became a rather shocking discovery and I promised myself not to use it more without a pricing reason. Because with his output, I radically changed the life and fate of another person. The guy was preparing for samples in a high-level basketball team, his talent recognized many and I decided to play one to one with him in practice. By staging his techniques, I adjusted them under myself, making it more convenient for me, better, rational, spectacular and more efficient. That time I won with a crushing score 96:10. And he would be where as more if my opponent did not give up. Then I found out that he failed samples and could not play anymore at all. And since I thought before this only about such a career, then the introductory failed, because of what went to work where to take. Three months later, he was found in an abandoned warehouse on the outskirts of the city. By the time he was already dead for two days. Until now, I can not forgive it. Butterfly effect, right? And how good I am! Tips of Fate! Anger for himself makes it get out of myself and the next robot I will break my head with a sharp blow of my leg. Anger also activates the internal reserves of the body and the effect of the received serum begins to disappear in ten minutes before the appointed time. And again in thick fights, again the roar and explosions, blows and blocks, jumping and rolling. And then everything suddenly subsides. Only the returned scope of the flair suddenly signals the impending danger, as a moment before the blow will be applied. Thanks to this, I have time to dodge at the last moment. And then only in order to word on the block the second blow and bounce away. Yes, right, the master of his own person. Heavy boots on the legs, black pants and a hooded turtleneck and a familiar white mask in the form of a skull on the face. Training set of teacher. So there is no protection there, ordinary things. That's just no longer easier. I throw the blade to the side and smoothly flow into another rack. If the master comes into battle, then you need to put it on a complete, and this piece of iron will now only interfere with me and bring the defeat. Our training lasts not long. Some ten minutes. But this is the field of my teacher, and even with closed eyes, he will easily be able to navigate here. The attack follows the attack and if at first I also attacked, then at the end went into deaf defense. The flair almost did not shut down, then it is a quietly warning about fraudulent attacks and other similar maneuvers. I'm afraid if not serum, I would have already flames. However, despite all my tricks, I lasted against him a little longer than last time - just tween seconds. And the victory and speech can not go. And now I am now, resting, enjoying diplopia, which is expressed in the fact that the light bulbs on the ceiling has become more than twice. But it's time for me to get up. I rolling from the back on my side and get up carefully, trying not to give out my deplorable state to the teacher. He stands there and where at the time of impact, but not in the rack, but simply folding his hands on his chest. Interestingly, is he satisfied with me this time, or finally will reprimand for the fact that Pasha is on wear? When I go to the master, he carefully and strictly looks into my eyes and I answer him the same, trying not to think about what the number of eyes he looks rather original. This thought does not have time to slip in my head, as he translates the look at my left shoulder and his eyes are dangerous. And then, checked through the teeth, something impartial in my address says to go behind it. And what am I interested, hoped? That a person with perfect photographic memory will not notice the oddities in my behavior? Three times "ha". I go behind him into the locker room and sit down on the bench, which he points to me. The master himself climbs into one of the lockers and pulls the bandage, cotton wool and an antiseptic. I did not understand humor ... Remembering that we headed here immediately after he saw my shoulder I turn my head in the direction. Deep cut and decent bleeding. Apparently hurt when flew on the last blow to the wall. Chips of robots and turrets during the fight did not disappear anywhere. He sighs heavily, realizing that the sweatshirt will have to remove and, later, throw away. The first item is now somewhat more important, but there is nothing to lose anyway. Moreover, what to see Parker or Spider without the upper part of the clothes it is unlikely to come, and the behavior of all three in the root is different, as well as movement. It comes out involuntarily, but I restrict myself. Peter is a botanist, which meets the sport only in the lessons of physical education and the stories of aunt, and accordingly, strongly with brains. Spider - a super hero with a pumped almost maximum spider and spider reflexes. The hunter is the suppression of the forces provided by the improved genome and use to maximize all available functions of the human body. Naturally, the reaction to the stimulus depends on it itself and various reactions come from different perception. So ... Light noddes and I carefully tighten the sweatshirt through my head, trying not to hook a bandana and a mask, and also not much straining the injured hand. As it is neither regrettable in the second I did not succeed. A sharp pain caused irritably shrink through tightly clutch teeth. Holy feelings have not yet come to spoil the norm. The master just grunted and moved closer, examining the wound from which, from my activity, the blood began to flow stronger. Rinse, bandage, remove medicines back to the locker and expectantly look at me. On all this, the mentor leaves a little more than a minute. And then the question follows. - And it costs so substitute? - I thought I had time to bypass the blow and attack myself. Thank you for descended from heaven to Earth. I'm still not strong enough. - I do not argue, in a fight one for one and even in my territory you have not yet an opponent. Your style is not enough. However, if you continue to improve, and you will add to the completed style tactics, then ... - he listed the end of the phrase herself meaningfully at the end and changed the topic, "so you will tell me what else did you calculate the course of our duel?" - did not control the environment because of what was injured, koi could be avoided. - Right. And correctly did that got rid of the blade. With superior in the mastery of possession, any weapon enemy is better not to enter into battle, if only you are going to use it. This will only bring a legitarious outcome and reduce the space for maneuver. We go, show you something. I get up and heading after him, pulling the spoiled sweatshirt on the go. We rose to the second level, in the control room from which the entire hall is visible, where the robots-cleaners have just developed. Yes, we have nice to come out. From here everything looks where however depressingly. As long as I admired those who opened the species, the teacher went to the rack with his suit and returned back already being completely equipped. I don't know it so fast or I so fascinated the picture of someone else's work. Still, it is true that a person can watch forever three things: how water flows, how the fire burns and how others work. However, I also do not see for burning water and I even know what to do for this. But this is not so important now. Where as stronger I am now interested in what I wanted to demonstrate the teacher. Therefore, I quietly turn to him when I feel the approach. And right, almost completely unnoticed for me, he turned out to be only a meter from me. Whether we are enemies, I would be dead. And this is not an exaggeration. The first thing that was driven by a master after safety, is the fact that you can never underestimate anything. After all, this can lead to an rare unfavorable conditions for further existence, which I was at one time clearly demonstrated and what was just reminded of just that. By the way, there was a second reason why I blocked the essence of the spider for the time of training. Sphew the flair felt the directional hatred or very strong. A man, or not a person who does not want me evil or knowing how to hide such emanations quietly can come to me unnoticed. So it was before. Now I learned to use intuition and be constantly per check. True, in the aggregate, two alikes periodically made me a similarity of Paranoika. But, by reflection, I found a way to inject the whisper of the intuition of mercenary and was able to quietly continue to support his legend at school. Although, those who could expose me besides the teacher there was a lot. At school - Harry and Mary Jane, at home - aunt, in Sch. and. And every third. Yes, I also jumped, though on my own terms. But now it does not matter. Much more interesting what the teacher wanted to show. And he did not disappoint me. Moreover: seeing that he brought, I literally numb. Wide grinning under the tissue mask, who steadily closing the lower part of his face in training in the complex, the master was leaving my burden. Black weighty case is pretty impressed by the impressive size. Especially considering the fact that I knew perfectly well that Ababi would not be put in such a portable safe. Too expensive and reliably comes out in the end. The desire to open it to open it just drove me crazy. It remains only to know the code. Hmm, and if you think ... Quick Pressing the buttons in the desired order and the click is distributed. It is necessary, on the first attempt. Although this can be explained by the fact that I have already studied the teacher and his manner of learning. Always in such situations he gave tips. The main thing is to carefully observe the surroundings and structuring the slightest inconsistencies in a single whole, after which the correct conclusions do. Sooting the eyes towards the master, I noticed that he was pleased with the fact that I guessed so quickly. Then my attention again seen the contents of the case. And there was something to see. And I was at the same time glad and not glad that I was holding him in my hands. Among mercenaries there is also a rule, according to which the costs of first armor and weapons pay the mentor. But this happens only at the end of learning. So time has come? And I still did not have learned so much ... I misunderstood my thoughts, inspecting the contents. The third inslace rule states that the teacher will not know what it was to take a student, and suppliers are the identity of the recipient. So I was where to turn around. Therefore, over a huge catalog, I meditated for a very long time and even periodically ruled the order all the time that he studied at the Master. As a result, I got kits for both of my alter-ego if they can be called that. The new clothes included a suit for a spiderman from the material, according to the properties of a spandex, but being as stronger to the gap and the possessing property to be painted once a special paint included in the kit, purchasing such a color forever. In addition, the costume was a smart surface. With the help of a special device, which is fastened to the left hand, I could safely make it hydrophilic or hydrophobic at your own desire, having charged it in a certain way, and also give it the properties of chameleon. Science rolls, and nanotechnology is so generally ahead of the planet. Actually on this spider Equipment and ended, except for the mask made from the same material as the rest of the costume. Further came the equipment of the hunter. It was much more interesting here. From the very beginning I looked at myself one collection of costumes, demanding, of course, considerable money, but for sure their worthwhile. There are two more powerful models at once, I chose a long time between the remaining. As a result, I ordered the basic package of the ghost and a couple of dozens of additional details, using which I planned to improve my combat jade. He himself was dark gray with fortified plates on strategically important places, like knees, elbows, chest and abdomen. The head was packaged in a kind of helmet with flexible, but durable, lanes of matter, fastening it to the rest of the costume, and equipped with a removable visor ignites at will, like some other elements of equipment, bright blue and able to accommodate all the desired features. At the moment, it had a night, day and infrared vision regimes, but I plan to slightly modify it and expand the functionality. As needed and possibilities, of course. For example, from something in case of emergency fall from a high height, I would not refuse. To live, no matter how much I want ... In addition, there were strong thighs of about forty-fifty centimeters in the elbows. On the right hand, the sting was shunk along the radial bone, as if continuing it back, and on the left forward. I could also completely calmly, making a certain gesture, deploy each one of them for one hundred years of dedication. Where no one pluses are right? But I did not forget about myself. Ten ampoules with different labeling and content specifically for Peter. Still, it is he who deals with such research activities. Hmm, I got it: I am talking about myself in the third person. So fucking for a short time. Brrrr! With difficulty suppressing the muscular reflex slam the Case lid and bow the head in a gratitude gesture. - Thank you, the master! - You deserve. Moreover, this is my duty as a mentor. Did not forget the rules of apprenticeship? - Are you about a month of missions with your accompaniment, the second in the group of mercenaries and the third single? I remember. - Then hold. - My hands are moving the A4 format folder. Do not even open I already know what is inside. My missions. My last three months of apprenticeship. - Yes, Master ...
Municipal budgetary educational institution
secondary school № 1 s. Anuchino
"Web spiders"
Samushenko Z. E. -
primary school teacher
higher qualifying
Ecological circle occupation
Subject : "Web spiders"
purpose :
To form an idea that there are no uninteresting, unnecessary animals in nature. To tell about spiders, captivate children with a small, but interesting "world" in which these tiny creatures live. Secure the rules of behavior in nature: "Do not break the web in the forest, do not kill spiders."
Structure occupation
Motivation
Teacher:
The bell swinging the bell
All ready? All is ready?
We, now, do not rest,
We begin to work.
Actualization
Conversation
Teacher:
What is nature?
Yes, these are rivers, seas, lakes and deserts, forests
and fields, sun and sky, soil and air, and everything is alive. And the person is also part of nature. And the smallest bug is also part of nature.
Teacher:
Why does a person need nature?
She feeds a man, clothes, shoes, gives everything necessary for life. And, perhaps, the main thing, nature gives a man joy. Having admiring the beauty of nature, a man becomes better and kinder. Nature teaches man wisdom.
Teacher:
The "Book of Nature" received a complaint. I will read, and you guess from whom she (The teacher reads the letter)
« We often call ugly and unnecessary. Although we are more beneficial: eat harmful insects. If our web falls in the forest - we are to blame. And sometimes people tear our web for fun. And it is necessary to weave again. Please do not destroy our creations. "
They guessed, about whom we are talking about? (about spider).
The student reads a poem
"Divo Warrant - Spider -
Eight feet and eight hands.
If need a nude -
Cut out eight legs.
Web weighing around the circle -
Eight hands depart.
If you are angry with someone
As if all the circle of enemies, -
Back Horbit, Lyuto looks,
So, it got up not from that foot. "
S. Ya. Marshak.
3. Work on the topic
Showing images of spiders
Teacher:
Spiders do benefit. They are caught in the web of harmful insects who eat our trees, fruits and vegetables. Therefore, in the forest or in nature, never break the spiders and do not kill them themselves.
Guys, and you want to know where the spider come from? Then listen carefully, I will tell you about this an old legend.
Long ago, in someone else, far from us, which is called ancient Greece lived a girl who was very loved to be touched. Weave the tissue threads. Called this girl Arahan. She knew how to create such beautiful fabrics, whipped such beautiful patterns, which decided to call on the competition, the competition, the goddess of Athena himself, to find out who of them is beautifully rushing pattern.
Patterns that Arahan's splore were more beautiful and elegant than the goddess Athena. Then the goddess accepted, got angry with the girl and turned her to Spider, who was always sits and shears her web.
In Greek, "Arakh" means "spider". Since then, they started all such animals to call spiders.
- Teacher:
Spider often people consider unnecessary, useless. But it turns out, this is a very interesting and useful animal.
Spices are not terrible and bring great benefit. After all, they destroy a huge amount of harmful insects, especially flies that dirt and different diseases.
4. Manufacture of spider
- Teacher:
Here, see what spider I want to show you ...
(Demonstration Picture Spider)
This spider is called spider - a crosst. It is named after the drawing in the form of a cross on the back.
Spider is not an insect, but a special, separate view of animals.
Spider head is connected to the breast. This part of the body is called headband.
(Secure individual and choral responses)
Most of the spider body is called abdomen (Fasten)
There are so-called heads nudobupaltsa. (Secure individual and choral responses) they need a spider in order to grab food and pushing in the mouth. It is not legs.
And the legs of the spider are long and they are all on the breast. Let's all count together how many feet have a spider. (Calculate and consolidate choral and individual answers)
Although the spider has so many legs, he walks badly, and his web helps him. Hooker paws for a twig and crawls up or down it.
A spider has 8 eyes, so he can see everything around without turning his head. Immediately see who can be caught in a web.
Teacher:
Guys, how do you think, from where the spider takes the thread to weave your web?
(Children's responses)
Teacher:
Spider on the trouser has special tubercles with holes. Of these, the liquid is distinguished, which in the air immediately becomes solid and turns into a thin thread. From this thread spider and weave your web - trap for insects.
Why do you need a spider thread?
Some types of spiders Tkut from her "Pelinka" for laid eggs. And when spiders are output, the web becomes a nest.
Sometimes the thread serves as a ladder for descent and lifting. Or the airfield - the wind will pick up a spider with a spruce and tolerates to another place.
But the main thing - from the yarn spider, the network is a trap for insects.
A web may seem abandoned. A spider in it is not, but this is not the case, in fact, he was attached and waiting when mining will get into the network. Spiders have a perfect masking color. The fact that someone got into the network, the spider will find out the shivel of the signal thread, which stretches from the middle of the web to the place of ambush. It is not possible to get out of the network to anyone, since the threads are lubricated with a sticky substance.
Fizminutka
On the musical melody "Song of the spider"
5. Comparison of spider and insect
(Presented images of spider and insects)
Teacher:
Look carefully, think that they have a common?
What do they differ from each other?.
(Children compare and answer. The teacher summarizes their answers)
In distant, hot countries, there are large spiders that can bite a person and even kill their poison. And in our forests and parks live not dangerous, not terrible spiders, but on the contrary, very useful. Therefore, guys, if you saw a spider in the forest, it is not necessary to offend it, it is not necessary to overtake his web. After all, the spider makes a useful thing: destroys insects - pests.
Packup drawing
The network is weeping around the circle
Once a circle, two circles.
Teacher:
In nature, there is a huge variety of spiders: Spider - a cross, spider - a poultry person, etc. (the teacher draws the attention of children in the illustration) they affect us with their mysteriousness. Pay attention to how deftly and quickly weave the web spiders.
Spider in the corner hung net
He loves to refuse,
And the network knits firmly.
It has eight feet spider.
Or maybe lap.
Maybe hands.
But eight is for sure.
- Teacher
Today we will draw a spider in a web
(The teacher prepares in advance the sheets of paper with the image of the web. The task of children is to draw a spider in the web.)
(Children perform work to the music, the teacher provides individual assistance to the Council or Show)
Teacher:
Guys, look at the drawings (children consider work and exchange impressions). What unusual spiders turned out: funny and sad, deft and even spiders-sony. Well done!
Just remember, children, take care of nature. And bugs and spiders! After all, everything is needed in the world!
Reflection
The student reads a poem
"Divo Warrant - Spider -
Eight feet and eight hands.
If need a nude -
Cut out eight legs.
Web weighing around the circle -
Eight hands depart.
If you are angry with someone
As if all the circle of enemies, -
Back Horbit, Lyuto looks,
So, it got up not from that foot. "
S. Ya. Marshak.
- Teacher:
You can't do
Without mandes are ridiculous
And even without predators -
Evil and ferocious.
Need everything in the world!
Need everything in a row -
Who makes honey
And who makes poison.
If we are with someone
Not very friendly
Still very much
You need each other!
And if somebody can we
Excess will seem
Then it is of course
The error will be!
In the world needed
And it's all
Spider
Splla once a spider cage
And hung a cobweb on the bitch.
- Kva! - exclaimed frog.
- Well, the network!
Just anyone, just expensive to watch!
I would like spiders, make my sin.
Closed a stork with a long beak:
- Shchelch! Yes pitch!
Fi, yes Master!
Pousinka - Clean Silk!
Everyone is known - I am a fisherman.
Without networks it is impossible.
Sheedy was quietly with the leaves of the rustle,
And she said: - Pautinka is good!
Spider, spider, give me a grid of a block.
I found mushrooms in the forest,
How to go home for them?
Spider praised Sovka-owl:
- About you everywhere good chatter.
Spider, spider, give me a grid of a block.
I need a hammock for sleep:
After all, my bed is pine.
Spkets looked back, and in the corner
only thread remained on the bitch.
Became bugs he, different butterflies
Through a string rope to rope!
Puttingable web for good.
Here and the fairy tale has come to death.
Many people confuse spiders with insects. Spider can be easily distinguished from the insect: for this it is enough to calculate the number of legs: spider 4 pairs of legs, and in the insect 3 pairs. Many people confuse spiders with insects. Spider can be easily distinguished from the insect: for this it is enough to calculate the number of legs: spider 4 pairs of legs, and in the insect 3 pairs.
Spider body consists of two parts. The first part is a headband, it is made of durable material, chitin. The second part is soft abdomen. Tiny pipe connects headband and abdomen. Eight feet, two jaws and pair Pedipalp (sensitive tentacles) are associated with headband. On the heads are usually located eight eyes. The brain is located in the pumped, and the heart in the front of the upper side of the abdomen.
Spiders have many enemies. Birds catch a large number of spiders on Earth or directly from their networks. The wasps also enemies spiders. The wasps specialize in the hunt for spiders of a certain variety and use a captured spider for laying their eggs inside these spiders. The larvae then eaten a paralyzed spider. Also caught spiders ants. Mantis - great killers, they eat any insects, and spiders. Osa and Spider Bogomole
Modern spider uses jaws (helper) to capture and snatch production. Most spiders use poison to kill their sacrifice. At the end of the jaws there are two hollow and very sharp sycipers-like structures. They are used to puncture the bodies of the victim and enter the poison. The poison produces special glands.
Mortality of poison spiders for people is very exaggerated. However, there are spiders that are truly dangerous for people. The variety of black widow, Australian Sydney Tunge Spider and some wandering spiders from the south of America are really dangerous. In the poison of these spiders, there is a substance that violates the nervous system and can bring down the heart rhythm, cause cramps, trembling, pain and dizziness. Bite of such a spider can be fatal for children and people with a weak physique.
Task 1. (7 points)
The amount of its numbers added to the number and received 2017. Give an example of such a number.
Examples:2012, 1994. Other numbers are not suitable.
Criteria.Any of these numbers are given: 7 points.
Any other number is given: 0 points.
Task 2. (7 points)
The girl replaced every letter in her name her number in the Russian alphabet. It turned out the number 2011533. What is her name?
Answer:Tanya.
There may be other sequences of letters, but only one of them is name.
Criteria.The name of Tanya is obtained: 7 points.
Any other sequence of letters is obtained: 0 points.
Task 3. (7 points)
The seller purchased the party of the handles and sold them. At the same time, some buyers bought one handle for 10 rubles, and some bought 3 handles for 20 rubles. It turned out that from each purchase, the seller received the same profit. Find the price for which the seller purchased the handles.
Answer:5 rubles.
Decision.Let the purchasing price of the handle x.. Then profit for one handle 10 - x., for 3 handles 20 - 3x.. Solving equation 10. - x.= 20 - 3x.Receive x.= 5.
Criteria.
It does not justify that the procurement price of the handle should be 5 rubles, but it is checked that in this case the condition is performed: 4 points.
Only the correct answer without any explanation: 2 points.
Task 4 (7 points)
The puppy-student pulled the web between 11 points so that his webs do not intersect anywhere, and at the end returned to the starting point. The teacher's spider praised him, and only noticed that the real masters observe the same conditions, but stretch the "right" web, which does not lie on one straight line. Help the pack connect all 11 points in the figure "right" web.
Decision.One of the possible ways is shown below.
Criteria.Any faithful example: 7 points.
An example in which some segments lie on one straight line, but no neighboringsegments on one straight do not lie: 4 points.
An example in which there are neighboring segments lying on one straight line: 0 points.
Task 5. (7 points)
Square window opening is formed by two rectangular frames. Inside each of them they wrote a number equal to the perimeter of the frame. Write what is equal to the side of the square of the entire window opening and explain how you got it.
Answer:5.
Decision.Let the side of the square equal a., and the width of the left rectangle is equal b.. Then the width of the right rectangle is equal to a.- b..
The left rectangle gives a ratio of 2 a.+ 2b.\u003d 14, and the right rectangle gives a ratio of 2 a.+2a.- 2b.\u003d 16. Having folded these two relations with each other, we get 6 a.\u003d 30, from where a.= 5.
Criteria.The right solution in any way: 7 points.
The logically correct decision of the solution, but due to an arithmetic error, the answer is wrong: 3 points.
The example is selected, where the rectangles really have the right perimeter, but not explained how the lengths of their parties are obtained: 2 points.
Only the correct answer without explanation: 1 point.
