Generalizing lesson
on this topic
"Integers"
in grade 5
Mathematic teacher
MBOU Gochitskaya secondary school
Republic of Buryatia
Togoshieva Valentina Baldanovna
Lesson objectives : to repeat and systematize the knowledge of students according to the material covered, the development of logical thinking and cognitive interest in the subject.
Lesson plan:
1. Actualization of basic knowledge.
A) Oral work.
B) Answers at the blackboard.
C) Individual work.
2.Solving the problem
3. Independent work in pairs.
4. Lesson summary. Housework number 736
Org moment
Far, far away where even airplanes do not fly is the Country of Mathematics. In this unusual country there is an amazing city-City of Numbers. In this wonderful city there is one unusual street called "Natural Numbers". And today we will once again walk along this street, see all its sights, and the walk will take place according to this plan (the teacher introduces the lesson plan).
Reiteration.
Equations are the most important thing on this street, so 3 people. go to the board to work on cards.
Card number 1
a) Tell me the rule of how to find the unknown term and solve the equation.
B) Tell the rule how to find the unknown factor and solve the equation.
Card number 2.
a) Tell the rule how to find the unknown subtracted and solve the equation.
B) Tell the rule how to find the unknown decreasing and solve the equation.
Card number 3.
a) Tell the rule how to find the unknown dividend and solve the equation.
B) Tell me the rule how to find the unknown divisor and solve the equation.
At this time, the oral account number 634. After the oral account, we will hear the respondents at the blackboard.
Then the teacher summarizes the table.
The solution of the problem.
Giant turtles live on the islands of the Pacific Ocean. They are so large that children can ride while sitting on their shell. This turtle swims beautifully, its limbs have turned into flippers. Decorations are made from the tortoise shell, and eggs and meat are used as food.
Solve the equation: 8x-3683 = 1117 and you will know the mass of this turtle in kg.
Answer: 600kg.
Independent work in pairs.
№1. The largest land animal is the African elephant. Find out:
A) height in cm., Having solved the example: 125 * 4- (125 + 25) = cm.
B) body length in cm, solving the example: 65 * 5 + 65 + 60 = cm.
B) weight in kg .: 6500-2000 + 1500 = kg.
№2 ... On the the globe Birds live - unmistakable compilers of the weather forecast for the summer. The name of these birds is encrypted by tasks. By completing them and replacing the answers with letters, you will read the name of the meteorological birds.
37003-8397=
722257+81673=
450:18=
21*15=
X + 605 = 700
Y * 22 = 1342
8a + 3a-2a =
30y-2y =
28y | 803930 | 28606 |
№3. “True, children, I'm good, I look like a big bag.
On the seas in the old years I overtook steamers. Who am I?".
In order to solve the riddle, complete the tasks and replace the answers with letters.
1)375843-286927=
2)161236+18765=
3) 20s-6s-3s =
4) 5x + x =
5)490:14=
6) 474 + p = 500
7) 8x + 7x = 105
180001 | 88916 | 11s |
№4 a thunderstorm struck in the English county of Cumberland strong wind tore up trees with roots, forming craters. In one of these craters, residents found some kind of black substance. The name of this substance is encrypted in the tasks:
1)83005-59628=
2) 701960+85971=
3)3428:8=
4)43*24=
5) y-708 = 194
6) 9x + 9x-4x =
14x | 23377 | 1032 | 787931 |
Checking independent work.
After checking, the teacher tells. Shepherds began to mark the sheep with pieces of graphite, and traders made inscriptions on baskets and boxes. This happened in 1565. The first pencils had two drawbacks: they got dirty fingers and quickly broke. Pieces of graphite were wrapped with braid, cloth, and for strength they were mixed with sulfur, resin, antimony. Later, they began to add clay and mixture, and fired in a furnace. The pencil we write today appeared at the end of the 18th century.
Lesson summary.
Our walk is coming to an end. I hope you liked it, and the results are as follows:….
Homework: # 736.
The most popular domestic reptiles in our country are turtles. Many owners of such animals believe that keeping turtles is less burdensome than, for example, lizards or iguanas. This is the main reason for buying such a pet for children or simply as a beautiful living "toy" to satisfy aesthetic taste. However, the unpretentiousness of turtles is a myth, and when starting such a pet, it is important to know everything about the peculiarities of his life.
Turtles are certainly beautiful and interesting in their behavior animals of the order of reptiles. The main feature that distinguishes this type of reptile from other animals is the presence of a shell. This strong and "practical" armor consists of a lower part - a plastron and an upper part - a carapace. The shape, size, number of scutes and the pattern of the shell are important species characteristics of turtles.
It was the shell, despite its heaviness, that helped this reptile survive for 175 million years. All modern turtles have retained their shell, although the shape and color of it differs in different types and depends on the habitat and the way of existence of the animal. For example, in sea turtles a significant part of the shell is missing, thanks to which these animals have learned to move quickly. Soft-bodied turtles have a round, pan-like shell that allows them to burrow into silt without difficulty.
Over the many millennia of existence, these beautiful animals have not changed much, but the number of some species has reached a critical level in recent centuries. That is why, it is important not only to carefully monitor the health of your pet, regularly showing it to the veterinarian herpetologist, but also to pay serious attention to keeping the turtle, its diet, maintaining the temperature in the terrarium, and bathing. You cannot start a turtle without first preparing a specially designated place for it and without studying all the features of a turtle's life.
The most common "domestic" reptiles are terrestrial and freshwater turtles. When planting such animals, you need to know that most land animals are herbivorous, and freshwater ones are predators and omnivores. Therefore, the former should not eat proteins of animal origin (meat, eggs, cottage cheese, etc.). Their diet should consist of vegetables, fruits, berries, dandelion grass, clover, plantain. Conversely, the diet of freshwater should consist mainly of "animal feed" snails, fish, squid, bloodworm shrimp, etc. For freshwater turtles, unlike land turtles, the industry produces a number of good dry food (Sulfur, Tetra, etc.)
Freshwater turtles
Freshwater turtles live in water bodies, rivers, lakes and swamps. Such animals spend a greater amount of time in the water, only sometimes getting out on land to bask in the sun. The most popular types of turtles as pets are: Trachemys scripta; European marsh turtle (Emys orbicularis); Chinese Trionix or Far Eastern turtle (Pelodiscus sinensis). When purchasing such reptiles, you need to know their features and differences from each other.
The red-eared turtle is most commonly found in aquatic terrariums. This is a very beautiful reptile with bright red, yellow and orange spots, which are located on the head on both sides, resembling ears, for which the turtle earned its name. Young individuals up to six months have the brightest color than older relatives. The upper part of their shell is yellow-green to emerald green. Over the years, it becomes olive or yellow-brown. In addition, the carapace has patterns of bright yellow stripes and green circles.
This is a fairly agile turtle, not only in water, but also on land. In addition, this beauty has very strong and sharp nails, which she often uses for self-defense. Taking out the turtle from the terrarium, you should beware of its hind legs, they will try to push off from the hands. And in general, you should not bring it to your face and open areas body.
This is an aquatic turtle that prefers shallow water. She swims well, quickly fiddling with her paws, and hides at the bottom, under stones, burrowing into the silt. Like most aquatic turtles, the European Marsh Turtle is a predator.
This turtle has an oval smooth dark olive-colored shell covered with yellow stripes and spots. The head, legs and neck are also dotted with large yellow dots, the carapace is colored, as a rule, dark brown, less often yellow. The turtle has a long tail, which is about half the length of the shell, it serves as an additional "rudder" when swimming, the hind limbs serve as the main tool for this, and rather long and sharp claws on the fingers.
This turtle swims and dives beautifully, it can stay under water for a long time. However, every 15-20 minutes, she needs to float to the surface in order to stock up on air. On land, European marsh turtles are not so active, but they still move faster than land turtles. On land, they bask in the light for a long time, but at the slightest danger they hide in the water.
This turtle has a greenish-brown shell with a glossy surface. In growth, it reaches 25-30 cm, from above it is covered with soft skin without horny shields. In young individuals, the "back" is covered with tubercles, which gradually disappear with age, and the shell acquires almost flat view... The neck of the Trionyx is very mobile and long, and the muzzle is extended into a proboscis, at the end of which there are clearly visible nostrils. The powerful jaws of this predator have sharp cutting edges, with which the turtle can inflict serious injuries, which makes it quite dangerous. Wounds after such "bites" do not heal well, so you need to be very careful when handling this pet. In addition, there are sharp claws on three toes, which also pose a threat. An unusual feature of Trionix is additional cutaneous respiration, along with pulmonary respiration.
According to amateurs, the Chinese Trionix is a very suitable candidate for keeping in a terrarium, since the ratio of water to land should be 5: 1, and it is very convenient to observe the behavior of the turtle. However, it must be kept separately, as Trionix can pose a threat not only to its owners, but also to other soft-bodied turtles.
Land turtles
Land turtles live in steppes, forests and deserts. high temperature these animals move actively, since the processes in their body are normal, and closer to winter they fall into suspended animation, that is, into hibernation.
Such turtles feed on plant foods - any edible fruits and berries, cabbage, cucumbers, tomatoes, carrots (grated or thinly sliced), lettuce, dandelions, clover, some cruciferous plants (leaves, flowers), young tree leaves, but sometimes they also eat insects - earthworms, snails. Outwardly, land turtles are all similar, their differences are the color, shape of the shell, the number and type of shields and claws. The most popular as pets are:
Central Asian or steppe turtles (Agronemys horsfieldii), Mediterranean turtles (Testudo graeca), Balkan tortoises (Testudo hermanni), Egyptian tortoises (Testudo kleimanni).
As a pet, it is the most affordable animal of all reptiles and is most often found in terrariums. The size of such a turtle reaches 18-30 cm, its shell is relatively wide and round, painted with gray and green-yellow shades, the tail is thin and bony, in males it is much longer than in females. The forelimbs of such animals have four fingers, and the toes of the hind paws are spliced. Such turtles are rather slow and very hardy to unfavorable conditions the environment this is probably what makes them the most popular.
Central Asian turtles rarely drink water, because in nature they practically do not have access to it. With an excess of moisture, they urinate, but in the absence of moisture, they can get by and not excrete urine. At the same time, a humid environment can provoke the development of pathogenic bacteria in such animals, so it is enough to bathe such a turtle sometimes. Central Asian people like to dig holes, so it is best for them to lay the ground from large pebbles with a layer of at least 6-7 cm. Also, these turtles have big "claims" to light and ultraviolet, which must be taken into account when creating a place of residence for them.
The shell of such a turtle is convex and high, it has a round-oval shape, usually slightly serrated along the edges. In size it can reach 30 cm. Carapax has dark spots on a light olive or yellowish brown background, which increase with age. Sometimes the spots merge, and the whole turtle takes on a dark, almost black color. There is one horny tubercle on the back of the carapace. On the front paws of such turtles there are five toes with claws. The tail is short and blunt. The head is covered from above with large symmetrical scutes. An interesting difference between these turtles is the "spurs" on the back of the thighs.
Mediterranean turtles live in dry steppes, semi-deserts and mountain slopes covered with shrubs, this must be taken into account and added to the "interior" of the terrarium, for example, sprouted grains, which are also eaten with pleasure by such a turtle. This animal is less "burrowing" in comparison with the Central Asian, so the soil layer can be thinner, about 4-5 cm. Such turtles are active only in the morning and evening, at night and in the middle of the day they hide and even bury themselves.
There are two subspecies - western and eastern, they differ in size, the eastern Balkan tortoise is much larger. The main difference between these animals and their relatives is a conical spine at the tip of the tail, which is also slightly longer than that of other turtles. The high carapace of such reptiles is usually 14-16 cm, but in rare cases it reaches 20 cm. In young representatives of this breed, the upper part of the carapace is colored brownish-yellow, in adults it darkens, and only a bright yellow border remains along the edge. Adult males are smaller than females, but their tails are longer and thicker.
In nature, the Balkan tortoise lives in dry steppes and bushes, which should be taken into account when creating conditions for her to live in captivity. A very important factor in a comfortable existence is the humidity of the air and soil in the terrarium; it is impossible to allow the soil to be moistened with spilled drinking water. Such turtles are very active; in spring, summer and autumn, in the mornings and evenings, they move around their territory in search of a stranger. Balkan turtles tend to live together, they even climb on top of each other, forming a pyramid, while the males love to "sort things out" by engaging in a fight.
Egyptian or Kleimann's tortoise - the smallest of them all land turtles... Its size is a maximum of 14 cm, while the length of the shell itself is 9-10 cm long. Males are slightly smaller than females. The carapace is very convex, yellow-green in color with a black stripe along the edges of the segments. There are black spots on the abdominal scutes; such turtles have five toes with claws on their front legs.
The Egyptian turtle is also original in its way of life. Unlike most turtles, it is active in winter and hibernates in summer. This is due to the fact that in the summer in the homeland of the Egyptian turtles, the intense heat, which they do not tolerate. These animals prefer a daytime lifestyle, they can be kept in several pieces in a terrarium. Such reptiles live on average up to 30 years.
Lyceum / 2007 academic year Teacher Rudakova T.F.Saratov 2007
Quiz "I want to know everything" Giant turtles live on the islands of the Pacific Ocean. They are so large that children can ride on their shell. To decipher the name of the world's largest turtle, solve the proposed examples and arrange the answers in descending order. E): 67; D): 42; C) 18450: 246; X) 30240: 63; M) 38640: 48; P) 51750: 25; I) 7912: 86; L): 729; O) 24325: 35 E): 328 DERMOCHELIS
At the board: X: 3 - 71 = 32 X: 2 = 32 + 71 X: 2 = 103 X = 103 * 2 X =: 2-71 = 32 32 = 32 Answer: 206 On your own: (Y + 6): 4 = 100 Y + 6 = 100 * 4 Y + 6 = 400 Y = 400-6 Y = 394 (394 + 6): 4 = = 100 Answer: = 600 Express the mass of the turtle in c., Grams: 600 kg = 6 c. , 600kg = g.
Solution of Problem 207 From cities A and B, located at a distance of 185 km from each other, two cars drove out simultaneously in opposite directions. One of them at a speed of 95 km / h, the other 90 km / h. At what distance from each other will these cars be 6 hours after the start of the movement?
Analysis of the problem: Is it possible to immediately answer the question of the problem? Which car and why will it cover the longer distance? Solving the problem at the blackboard by expression. Transformation of the task. So what is the distance between the cars? (how much the CM has moved away) On the moving diagram, create a new condition. How long will the cars travel?
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Slide captions:
The teacher of mathematics GBOU Lyceum №126 of St. Petersburg Gudkova Olga Viktorovna Multiplication and division of decimal fractions
Repetition What is decimal notation fractional numbers? What are the decimal places? What are the rules for adding (subtracting) decimal fractions; What are the rules for multiplying decimal fractions; What are the rules for multiplying decimal fractions by 10, 100,…; by 0, 1; 0.01; ...
Oral calculations 3.08 + 0.2 2.54 + 0.06 8.2 - 2.2 6 - 0.02 4.7: 10 0.48: 4 0.9: 100 25.5: 25 0, 8:16
The following task will help you find out who is hiding under such an unusual name. 10 12.5 50 0.8 4000 1 0 100 0.1 0.008 0.5 0.008 40 1 0 1 CH E R E P A X A 0 0.5 1 0.008 40 1.125 0.01 0.1 X R A E P E A H 100 ×? = Dermohelis ̶ what is it?
Dermohelis turtles live up to 200 years on the islands the pacific... They are so large that children can ride on their shell. This turtle swims well, its limbs have turned into flippers. Ornaments are made from the shell, and eggs and meat are eaten. How much does one such turtle weigh? It turns out that if you increase this number by 0.024, and then subtract 3.227 from the product, you get 11.173. Let's solve this problem. Let x kg be the mass of the turtle. 0.024x - 3.227 = 11.173, 0.024x = 14.4, X = 600. Answer: 600kg.
Calculate the value of the expression: a) 5.6 2 - 3.2 2 = b) (5.6 - 3.2) (5.6 + 3.2) = 31.36 - 10.2 = 21.12 2, 4 8.8 = 21.12 What did you notice? Write the equality literally. a 2 - b 2 = (a + b) (a - b) Find the sum of the numbers: 0.1 + 0.2 + 0.3 +… + 1.8 + 1.9 + 2
(5.8 + 20) m 5.8m P = 2 × (a + b) P = 2 × (27.5 + 25.8) = 2 × 50.3 = 106.6 (m) (7.5 + 20) m Problem. Find the length of the fence surrounding the rectangular house if the house is 7.5 m long, 5.8 m wide, and the fence is set at a distance of 10 meters from the house 7.5 m
Independent work 1) Calculate: 2.7 12 + 9936: 1000: 4.6 - 25.22: 26 2) Solve the equation: 21.87 - 323.91: x + 8.74 = 12.9
Answers 33.59 X = 18.3
On the subject: methodological developments, presentations and notes
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