Yak explain to children the topic scale

Sleep of the robot. Know the number of numbers: 3 and 7; 1 and 5; sizes: 1 cm and 4 cm; 3cm і 8 m. Is the number 2 less than the number 4? Number 6,3 more numbers 2.1? Number of advancing proportions: 0.5 _ _ 1_ 1.5 _ 0.1 7 ‾ 14 150 ‾ 10

Scale. Armchair of the earth of Moscow; our kingdom. Edge to edge. Axis Bachish: here is Moscow, here is Novgorod, here is Astrakhan. The axis of the sea, the Axis of the Permian old foils. And the Siberian axis.

Map of ancient Babylon.

1482 roku map

Little Mermaid Ariel and Flounder I knew at the bottom of the sea with 505 gold coins. The stench took 2 ∕ 5 of all coins, the rashtu was presented to ribs. Did you get some coins for ribbons? 303

The kurnik had 30 chickens. The fox ate 20% of the dry chickens. Whole chickens from the Lord? 24

Tuzik and Bobik or icemen. Bobik z'iv 24 icemen, and Tuzik 7/12 tsієї kіlkostі. Skilky ice dwellers from Bobby and Tuzik at once? 38

Record the date of the six seconds before the quit. 1 10

Koschiy ran over to Baba Yagoi to sit with the rude for 200 min, and sit for 68% of the whole hour. Smells of hilin spent by Koschiy at the rude ones? 136

Know the root of the family 205 = x0.5. 2

Uncle Mitya, having bought a new shampoo sob and synovi, if tint Masha would not be vicious, then I should clean the shampoo for 18 days. To whitewash shampoo for a few days, how can it be that Masha's tint? 12

Vasya and Slava z'їli 32% of purchases to the sacred mother of tsukeroks. Have you lost% of tsukerki, like the stench or tsukerki at once from Vova, Mishko and Petya? twenty%

Know the root of the family 4.5: x = 4:28 31.5

ERATOSPHENES.

On the map 1 cm On the ground 100 m = 10000 cm Scale 1: 10000

Scale - from the date of the general view of the card to the level of the general view of the card.

If the picture is bigger other scale, the other number in the record is larger. For example, scale 1: 25,000,000 extra, lower 1: 10,000,000 Test 1 Test 2 Test 3

Well done! You have successfully fit from the staff! Prodovzhiti

Well done! You have successfully fit from the staff!

Scale 1: 8300000 Astrakhan Kislovodsk

On the map 6 cm On the scale X cm Scale 1: 8300000

Go from the village of Zhitne to Astrakhan 95 km. Visually see the images of the points on the map, as the numerical scale of the picture is on the map

Shown by two points on the bridge, which is 190 m high, shown on the map with a 1.9 cm guide. Know the scale of the picture

From the designated point, right next to it: at the pivnich - 2 m., At the turn - 6 m., At the pivnichny end 4 m., The scale of the picture is 1: 100

Front view:

Lesson from 6th grade on the topic: "Scale".

Lesson type : a lesson in explaining new material and primary consolidation of knowledge

Method: explanatory-illustrative, chastkovo-poshukovy.

Purpose of the lesson:

1. didactic:

1. repetition to understand "staged", "proportion", "staged values";
2. zaprovadzhennya understand "scale";
3. navchannya razv'yazannya zavdan z tsієї those;
4. practical zasosuvannya understand the scale;

1. developing:

1. formulating correctly mathematically;
2. uyavit development;

1. vikhovni:

1. activization of educational and creative activity of scientists.

Possession: Microsoft presentation PowerPoint "Before the lesson on the subject of Scale", the key of the card from the factory for the gris "Diznaysya vcheny", the institute of the prize to the gris "Know the property", the card of Svit.

Lesson plan.

Go to lesson.

1. Organizational moment

Change the readiness of the class before the lesson. Vitannya.

2. Motivational ear for the lesson.

Hlops! This year we are continuing to vivchenya with those "Proportions". Discernible її zasosuvannya in one of the areas of life. Taking into account, it is more important than the practical meaning of the material of this year's lesson. Mostly because of repetition. Usna robot (demonstration to slide №2).

1. Know the relationship (the relationship is a private two numbers)

numbers: 3 and 7; 1 and 5;

sizes: 1 cm and 4 cm; 3cm to 8 m.

(if it’s not correct, explain that it’s possible to talk about the difference in values, if the values ​​are changed in some and quiet values ​​themselves).

1. Is the number 2 less than the number 4? Is the number 6.3 greater than the number 2.1?
2. Is it the same proportion? Reverse, which is the basic power of proportion, which is true of such proportions:

0,5 _ _ 1_ 1,5 _ 0,1

7 ‾ 14 150 ‾ 10

1. Formulate the basic power of proportion.

3. Vivchennya new material.

Write the letter, write down the number, I would like the robot that topic of the year's lesson "Scale" (demonstration to slide number 3).

Armchair of the earth of Moscow; our kingdom from edge to edge. Axis Bachish: here is Moscow, here is Novgorod, here is Astrakhan. The axis of the sea, the Axis of the Permian old foils.

And the Siberian axis.

Tsi words, vimovlyain tsar Boris Godunov, occupying the armchairs of the picture of the Russian state, at the miraculous tragedy of guns, rozmovlyayuchi with dad.

The geographic map is one of the most valuable documents of human culture. Let's go to the day cards and get that important. The first cartographic images appeared at the Old-time Church (demonstration to slide No. 4).

And the axis was yak looking at the sight of people, who lived in 1482 (demonstration to slide No. 5).

And so viglyadaє suchasna mapa (demonstration of mapi to the World).

Play with that old picture. They have a lot of vidmainnost, but without zusil old people, it’s not too bad. The ancient Greeks were especially noted.

So, Oleksandr Makedonskiy's vіysku got special people, as they are guilty of bully pidrahuvati, there are a number of crocs, which are known to be at the correct fret, so that you can go one point to the last one. Efforts to learn about the conquered lands were retrospectively recorded and extended to Athens, the academy. Oleksandr the Macedonian, having patched the place for Oleksandr, and the very baggy place by opening the first map.

Infection, you will have the opportunity to learn from a long time ago, but for a person who is guilty, it is correct to come to an end:

I distribute to you cards from the staff, one on the desk. If you spilo write a letter to the sheet, write it down on the card and transfer it to the school children. Win for the help of the key of the warehouse іm'ya vcheny.

Zavdannya:

Little Mermaid Ariel and Flounder I knew at the bottom of the sea with 505 gold coins. The stench took 2 ∕ 5 of all coins, the rashtu was presented to ribs. Did you get some coins for ribbons? (303 coins)

Tuzik and Bobik or icemen. Bobik z'iv 24 icemen, and Tuzik 7/12 tsієї kіlkostі. How many ice-dwellers go to Bobby and tuzik at once? (38 lodyanikiv)

The kurnik had 30 chickens. The fox ate 20% of the dry chickens. Whole chickens from the Lord? (24 triggers)

Koschiy ran over to Baba Yagoi to sit with the rude for 200 min, and sit for 68% of the whole hour. Smells of hilin spent by Koschiy at the rude ones? (136 quilins)

Record the timing of six seconds to one chili at a tenth shot. (0.1)

Know the root of the family 205 = x0.5. (2)

Uncle Mitya, having bought a new shampoo sob and synovi, if the tint Masha is not victorious, then I should clean up the shampoo for 18 days. To whitewash shampoo for a few days, how can it be that Masha's tint? (for 12 days)

Vasya and Slava z'їli 32% of purchases to the sacred mother of tsukeroks. Have you lost% of tsukerki, like the stench or tsukerki at once from Vova, Mishko and Petya? (20% zukerki)

Know the root of the family 4.5 \ x = 4:28 (31.5)

Revise the correctness of your decisions. (If the problem is not correct, then it’s a big deal.) (Demonstration of slides No. 6-14)

Key.

We renounced the name of the vcheny - Eratosthenes (demonstration to slide number 15)

Great territories, for example, parts of the world, powers, are displayed on geographic maps. Skin zvivina on the card, skin touch, point - the result of the majestic and rich history of land explorers, important mandates and past.

“The new sciences did not cost so much knowledge as geography.

Mayzhe for kozhnu krykhta knowledge was paid to human lives ”.

Tsi words to lie to the fearless observer of the Arctic Georgy Yakovich Sadov, who went down the hour of expedition to the Pivnichniy Pole

You can learn about the exploits of the Persians in the lessons of geography and history, and we'll talk about the painting at once.

Mova karty maє buti exact. The map must be taken so that the skin line on the map was displayed as a whole on the ground. If you have a better idea, you will be guilty of taking notice of real issues. The butt is visible. 1cm on the plan for 100 meters of bile. It is known the setting of qix values. 1 cm on the plan before the final appearance of the bill. To brutalize respect for the same size.

1cm. 1cm. ... one . development

100m 10000cm 10000

We knew about the date on the map until the next day on the map. The quantity is called the scale. I will write down a table (demonstration to slide No. 16).

Write down the scale at the zoshit (demonstration to slide No. 17).

4. First control

Go to the viconati so zavdannya. Test (slideshow №18-24).

5. Closing the grafting material.

Zavdannya number 1. On the spring canals of the lads, the class was sent to the sanatorium "Sosnoviy Gai" more times. Mandrels conceive the plan of the mission, the scale of the plan. How can the stench come from the metro station Astrakhan to Kislovodsk? Yak tse zrobiti? (Demonstration to slide No. 25)

Warehouse table:

(Demonstration to slide number 26)

Zgadaimo viznachennya scale, for example, two hundred-sounders that are written in proportion.

6 _ . 1 .

X ‾ 8,300,000

6 * 8300000

X = 1

X = 49800000 cm = 498 km

View: 498 kilometers.

Zavdannya number 2. Go from the village of Zhitne to Astrakhan 95 km. Visually see the images of these points on the map, as the numerical scale of the picture is on the map. 1 .

500000 (demonstration to slide number 27)

Decision.

In a foldable proportion.

X_. one .

9,500,000 ‾ 5,000,000

X = 1 * 9500000

5000000

X = 1.9 cm

View: 1.9 centimeters.

Zavdannya number 3. Shown in two points on the place, which is 190 m high, depicted on a map with a view of 1.9 cm. Know the scale of the picture (demonstration to slide No. 28)

Decision.

Scale - from the date of the general view of the card to the level of the general view of the card.

1,9 1

19000 10000

View: the scale of the picture is 1: 10000.

For the sake of justice, it is possible to display images of even greater details (for example, parts of cars, cars) and even other ones (parts that are old-fashioned to mechanics, bearings and others.) For everyone, you can also set the scale.

You speak about the lecture about the chair at the lessons.

I will tell you practically to reconsider those, as you have mastered the topic of the lesson. In front of you is a card, the place is marked with a mice, the screen is de-zahovanna with "5" for the lesson. Before you is the plan of the cabinet. Scale 1/100. Your guide from the mite goes to the pivnich - 2 m, then to the turn - 6 m, and the distance to the pivnichny end - 4 m. Miscellaneous guilty on the card, yaku rejected (demonstration to slide number 29)

The children told the mischief, the screen was deactivated, go and take their p'yatyrka.

6. Pidbitty pidsumkiv, homework

The scale of the year became known to the understand - ... (Informations),

Did you know about the practical use of proportions - ... (from the research),

Zasosuvali otrimanі knowledge is practical.

Yak home zavdannya, I want to proponuvati you creative robot. Vona polyagaє in that, when you see the history of the joke of the belongings, display the map that way to the belongings, the vicoristovuchi otrimanі knowledge. No. 824, 826, 827, 830 (b), Estimates for the lesson.

Date______________

6 class

Lesson number 11

Lesson topic. Scale.

Meta lesson:

chief : organization of robotic scientists as well as learning the understanding of "scale", the development of mathematical projects on the topic;

vikhovna : In the course of the lesson, take a closer look at the development of scientific knowledge in different disciplines, the establishment of interdisciplinary links, development in the course of group forms of robotics and the spirit of collectiveism and intellectualism. Crafted to interest before the sound of goodwill. Vikhovannya love to little father;

expanding : the establishment of integrated links between the understandings of the "scale" in geography and mathematics; the development of a logical misdirection of scholars, in the absence of corrective action and analysis, in drawing analogies, in the establishment of knowledge earlier in the new primary situations.

Scheduled appointments:

By starting the understanding of the "scale" and by starting the way of storing the value of the type of buildings. You know the scale, you need to understand the understanding to increase the scale, and you need to understand the understanding. Formuvati vmіnnya pratsyuvati with dzherelami informatsії, know the smut, shukati ways to see and set food with a joke about the problem.

Lesson type: a lesson in explaining new material and primary consolidation of knowledge

Possession: distribution material, geographic pictures, olivets, liniyka.

Go to lesson

Organizational moment.

Good day, lads! Go! Who is the class? Who is this year's day at school?

Reconstruction of the home staff.

I will tell the scholars at the order of the house, and will give a message about the results of the homework. Scientists make up their own views.

(I pick up money from home staff for assessment and I distribute it from home workers.)

Actualization of basic knowledge.

I proponate to the scholars of the Viconati the following numbers.

Frontal experience

After reading the data, the scholars give the views.

Go from one unit to one value to another:

a) 10m = 1000 cm; b) 3 cm = 30 mm; c) 4 km = 4000 m-code; d) 6 dm = 60 cm; e) 80 mm = 8 cm;

f) 200 cm = 2 m; g) 20 cm = 20 dm; h) 7 m = 70 dm; ta) 9 km = 9000 m; j) 13 cm = 130 mm.

It is necessary, pre-explanatory moments, as they winked at children twisted.

Stunned by those lesson.

Well done. And now the lads see their work done that is written down: the date of the lesson, I would like the robot that topic of our current lesson: "Scale". (Records on doshtsі).

Vivchennya new material.

Hlops! For the first time, we knew about the tsim of the understandings for an hour of lessons in geography. Aje vi all bachili geographic pictures. I was singled out for an hour to show you geography lessons. Shchepravda, lads. If it’s not like that, I’ll get to know you at once with them. Yak vi bachite with us the geographic map is important. I also have a scale.

Let's give it to our understanding, and it sounds like this:

"The introduction of the general approach to the plan until the final generation of the general appearance in nature is called the scale"

Ale, the scale of the buva yak cards, the ale of the small objects. Well, let's put it this way:

Little ones on the porch of the images of objects, most often the sounds of changes and real changes. The image was placed on the archway of the paper, the great objects were brought to the image by the changed viewer, and the small ones were taken into the picture. Ale the axis of the little ones, or the plan is guilty of giving an announcement about the fair examination of objects. The axis for the whole on the armchairs, plans and maps to play off a special record, showing the performance of the drive up on the armchair to the right of the day.

For example, if on the plan of the room the size of 1 cm is shown as a picture, the reference of the house is 3 m, then write:

At 1 cm 3 m, or 1 cm 200 cm, or 1: 200. (Record on doshtsі).

The scale of the twists and turns of the numbers (yak і on doshtsі) is called the numerical scale. The guys, too, have formulated the same understanding.

For geographic maps (respect the lads for babies 1 by 9 sides), the numerical scale rotates with a fraction, the number of which is 1, and the denominator - the number, which will show, when you see it on the map of the stand.

For example, the records 1/25000 and 1: 25000 mean that by 1 cm on the map there is 25000 cm on the place.

Vimiryuvannya on the spot should be carried out at meters and kilometers. For the sake of visibility, it is not easy to display the images on the map and indicate the different views in meters or kilometers.

It is also true to say that if in the record of the scale of another the value is greater for the first, then the Danish scale gives a change in real sizes and navpaki. (All the rules and values ​​are important in the dos and don'ts.)

Fizkultkhviliinka.

And now the lads are up!

Shvidko's hands lifted up the hill,

At the side, forward, backward

Turned right-handed, lіvoruch

Quietly they started to scratch again.

Viconannya has the right to comprehend the material.

First, your lads are brutally, so tacitly, the little ones of our handler of mathematics, and only three of them are changing. Ale will send us the need for it. Let us know about the gin and width of the handler.

Dovzhina is 22 cm, and the width is 13 cm. The scale is 1:20. Tobto 1 cm for our little baby is 20 mm long. Now try it namalyuvati.

Well done guys, and now we will try to ease up your work.

You have before your eyes the map of our little Batkivshchyna. There are two points on the map. The first point is our school, and the axis of a friend is a suspension village Molodizhne. A route was created between them. We need to know the route. On the map, yak in front of you is the same scale, with yak mi maєmo pratsyuvati. Let us dice it up and down in two dots. Skіlki, lads, took centimeters? (Hopes come up). And, I know, that 1 cm = 400 meters at the center of the sky, you can know it. It’s possible. We multiply the amount of food by the scale that can be seen. (Children of children give a list of their numbers).

Scale 1: 40,000

At 1 centimeter 400 meters

As soon as an hour is lost, the children will see the picture and the scale.

Delivery of pidsumkiv. Displaying assessments to scholars.

I propose to the scholars and formulate the meaning of the scale. I list the assessments especially to active scientists.

Homework.

Children of your home will be like this. You will need to paint the plan of your room, and the scale axis will be 1:20. Tobto 1 cm for your baby is 20 cm in reality.

Reflexion.

Why are you especially worthy of that forgotten in our urotsi? (Know your thoughts).

Dyakuyu lads for respect.

This is the end of our lesson.

We can be awesome.

The lesson is broken down from the storage of the computer and the projector (the teacher's ability to supervise the presentation during the quick lesson).

Integration lesson in mathematics and geography for the 6th grade

Lesson type: explained.

Topic: Scale.

Purpose: the formulation of mathematical and geographic competences.

Zavdannya : to give geograficheskie scholars that is more mathematical Concept to scale. Zakrіpiti with scholars vidi scale - numerical, linear, renowned. Let the children know about the various types of scale, show them all. Shows of the subject link: mathematics-geography. Repeat the same type of view.

Possession: projector, computer, atlas for the 6th grade, atlas of the Volgograd region, lines, compasses - vimiryuvach,

Go to lesson:

I. Organizational moment. (2 min.)

II ... Actualization of knowledge.(4 min.)

1. What are the ones of the genie and the instruments that you see on the scene? (Meters and kilometers; tape measure, speedometer indicator and in.).
2. Yak vi rozumite virazi: "go through oases to the road to the choirtizhnev passage on camels"; "Will it take you from Moscow to Vladivostok to become a ten-day rise in price"? How can you make a difference? (At the price of food it is possible to approximate, like the nobility of shvidkist).

As a child, people saw a lot of capital a long time ago, but it couldn't have been more manual. Happy people may know that for the help of which they can be seen exactly and quickly. We are familiar with all of you this year with the knowledge that we’re starting to practice.

ІІІ. The main part.(20)

The teacher will explain that in order to make a plan or a map, it is necessary to carry out the exact changes in the settings between geographic objects, and to apply them on the papier, since it is necessary to change the number of times.

For example, 1000 m is displayed on a map in 1 cm. For example, 1000 m = 100,000 cm, then the skin is displayed on a map in 100,000 times less for the first display on the map. Tse write down the yak fraction 1: 100,000.

Write down the value of the zoshit:

The presentation of the display on the map until the end of the display is called the scale of the map.

In geography, this kind of scale is called numerical.

You can use the following formula to complete the formula:

The scale is called the drib, in which the number is one, and the standard is the number, which will be ordered, although it has developed from the plan less, the lower the territory. Yak a sign to rozpodіlu in a whole fraction zostosovat dvokrapka, and not a shot between.

Zavdannya 1. Dovzhina is shown on the map 3 cm. It is known that the picture is shown at the same time, as the scale of the picture is 1: 100,000.

Decision. Apparently, the date is displayed on the map (in centimeters) by the letter x that you know, the relationship is displayed on the card until the date is displayed on the map.

3: x = 1: 100,000

300,000 cm = 3000 m = 3 km.

View: 3 km.

The power of the geographer:

The price can be increased to the extent that it is possible without the folding of the ryvnyannya, since they knew about the scale.

On the basis of the additional line on the plan, or the map manually, it will be shown on the ground, at the numerical scale, write an explanation: in 1 cm - 10 km, in 1 cm - 100 m, in 1 cm - 10 m, etc. in meters and kilometers.

This scale is called іmenovanim.

Virishuєmo those same zavdannya: M 1: 100,000 - the whole numerical scale. Translated into nomenclature: 1 cm - 100,000 cm or 1 cm - 1 km. So, as if the meal was displayed on a 3 cm card, then it was displayed on the map.

3 km.

The competence of a mathematics reader:

Zavdannya: Start the dinner of the school garden behind the plan, which is 4 cm on the plan, and the scale for the plan is 1 cm - 10 m.

Decision: 4 x 10 m = 40 m, tobto 4 div - for 40 m.

The competence of a mathematics reader:

Dovzhina vidrizka bilya 4.5 km. Why is it that the map is displayed on the map at a scale of 1: 100,000?

View: dovzhina vidrizka cards 4.5 div.



See between places A and B on the road map 8.5 cm.

1: 1 000 000.

View: 85 km.

Drive from Brest to Vladivostok for 10,000 km. Would you be able to fit on one side of the story?

The power of the geographer:

There is one more way to see the display on the card, or plans, do not count before calculating. For a whole lot of my guilt, learn with a new kind of scale-line that adjusts with a compass-vimiruvachem.

Line scaleє direct line, distributed on equal parts. At the skin side of the line, there is a description of the appearance of the appearance on the muscle. One such submission is left from zero, and more other parts can be added (call 5 or 10).

It should be on a linear scale, it is necessary if it is important, which is great and small for a reason. As you can see, you need to view the power on a linear scale with a compass from zero to the right (on the little one - position I). The right of a compass to appear at your beckoning here at the boundaries of the great vidrizka, and not from this end. The compasses of the trocha left (position II) went down, but the right hand fell on the end of the great vidrizka. At the same time, it is possible to reject the same amount as a sum of great types of right-handed people from zero and small ones from the side of people. Zavdannya 1 . Know the view between Lake Elton and Lake Baskunchak, vicoristy and linear scale.

IV. Closing (10 min).

Dilimo class for 3 groups and leather teams proponyumo zavdannya.

Zavdannya 2. Scientific one of the Moscow schools went on a trip to the place of St. Petersburg, to see the Hermitage Museum. How long does it take to get a stink on the road for an hour, when the speed of the trip is 60 km / year?

Skin groups for the purpose of broadcasting tasks will be promoted as one of the various types of scale.

Pislya vikonannya zavdannya to the scholars to understand the results of the skin group, schob perekonatisya at the same scale.

V. Education for the lesson. (4 minutes).

D / z: * The area of ​​study for the lesson of geography and mathematics is based on the scale.

Mathematics: No.

Geography: st. 18 the worker is making "Geography. Earthquake".

INTRODUCTION LESSON

Z MATH 6th CLASS

ON THE TOPIC: "SCALE"

O.V. Borisenko, the teacher of the food category

Purpose of the lesson:

Introduce an understanding of the scale, spiraling into the knowledge of science and geography.

Navchit knows how to appear on the map and on the map, know the scale, and know how to appear on the map and on the map, figure out the scale.

Activate the educational and educational activity of the scientists.

Possession:

map of Russia,

map of the Kemerovo region,

map of Yurginsky district,

armchair tools,

Interactive setup. (The lesson can be held at the office of geography).

Klas break up into chotiri groups according to the territorial principle. At our school children come from chotiroh settlements: the village of Sarsaz, the village of Shalai, the village of Logova, and the p / st. Yurga 2-a.

Previously, some scientists recognized the following:

1) Get familiar with school bus drivers to get to your settlement (with a speedometer).

2) Know the 6th grade from the geographers:

a) the most necessary scale - the establishment of 1 group;

b) the designation of the scale and type of scale - the establishment of 2 groups;

c) information on the numbers and changes in the scale - the establishment of 3 groups;

d) Information about the linear scale - the establishment of 4 groups.

Go to lesson

I. Introductory word of the reader: The topic is called the meta lesson.

Today at the level of prodovzhuumo vivchenya by those “Proportions” that are known practically to be stashed by those.

II. Repetition of the past.

For some reason, a lesson from the repetition of what has been passed, from the revision of the usnyh to the right:

1. Know the relationship of numbers:

a) 3: 5;
b) 14: 7;
c) 4: 2;
d) 9:15.

How much is it possible from the cich to the same proportion?

(3: 5= 9: 15; 14: 7= 4: 2; 15: 9 = 5: 3; 7: 14 = 2: 4).

2. Unlink the task:

3 combiners to finish the harvest in 7 days. For a few days to finish that very robot of 7 combiners, efficiently with the same productivity?

Is it proportional to the fallowness of the day?

View of scientists: - Zvorotniy.

3 to 7 days

7k x days

In a foldable proportion, I feel asleep.

x = 3 (days)

3. Perevirimo, as you know mathematical terms. We will carry out the group "10 from 10". I am reading you 10 mathematical terms in twos, for the reason of writing them down without grammatical mercy.

Shrine

Private

Chastina

The magnitude

Vidsotok

Podil

Proportion

Power

Degree of proportion.

Pislya vikonannya robots on the basis of the following: evaluation criteria and the correct option vikonannya obdannya. Scientists re-evaluate and evaluate robots one by one in pairs.

Estimates:

“5 "- 9-10 sliv
"4" - 7-8 sliv
"3" - 5-6 words.

ІІІ. Vivchennya new material.

Children this year at the level of learning under the theme "Scale". In all, they took home work: to know in the handbook of geography the topic, as you were introduced to the first four and to get the occasion.

Teacher: 1 group guess to us, what scale is needed now?

Orintovna view of 1 group: Zhoden geographic ob'єkt - a river, a place, a settlement - it is hard to depict on a topographic plan, maps in full size. People painted the changes in the image of the scene, and the small images of the image changed quite, in a reasonable way. The old-fashioned armchairs do not give the possibility of vision, for example, because they are seen between the banks of the rivulet, to whom the predominance of the rychka, etc.

If the plan of the construction is more accurate, all the details are needed to change the same number of times in order to save the proportions. The axis for which we need a scale.

Otzhe, lads, try to draw up the picture on the map, create the road and road, awake, for a plan on the porch. How can you see everything in life size?

(view of scholars)

Correctly on the porch you cannot fit, that is, the scale is fixed.

About those who also scale and see the scale, there are 2 groups.

Orintovna view of 2 groups: The scale of the display at the level of skin lines, plotted on the map, changed in relation to the date to the date of the changes on the face.

Yakim іnshim word can replace the word "scale".

(view of scholars)

Mabut, inakshe can be said to be put.

That means the scale is the price of the development of the general view of the map (plan) until the final of the general view of the bill.

You see the scale and you know:

Type of scholars: -Numeric, named and line.

3rd group tell us the number and scale.

View the scientists of 3 groups: - Write the scale in a simple way:

1) yak vidnosini 1: 100 (tse means, scho 1 div plan replaces 100 divs bilya). The whole numerical scale.

2) can be easily recorded in 1 cm - 1 m.

Supervisor: 4th group report on the line scale.

Linear scale є line distribution on the basis of distribution.

Show the right-handers from zero to show where the list is going to be on the plan 1 div, 2 div, etc.

We have at once guessed everything that we know about the scale, but now our knowledge is stagnant for an hour.

IV. Zakriplennya vivcheny.

Zavdannya number 1. See on the map of the Kemerovo region between the towns of Yurga and Kemerovo 21 cm.

Scale 1: 400000

Calculate the number of items.

For the production of warehouse management in proportion:

1: 400,000 = 21: x

x = 21 * 400,000

x = 8400000

x = 84 km - go

mіzh mіstami Yurga and Kemerovo on mіstsevostі.

View: 84 km.

Zavdannya number 2. Vidstan mіzh metro Kemerovo and Moscow road 3000 km.

Scale 1: 20,000,000

Count the list of places between Moscow and Kemerovo on the map.

For the revision of the warehouse management in proportion

1: 20,000,000 = x: 300,000,000

x =

x = 15 cm - seen between the cities of Kemerovo and Moscow on a carriage.

View: 15 cm.

Zavdannya No. 3

View of the metro station Moscow and St. Petersburg on the map 6.5 cm. At the distance of 650 km. Know the scale of the picture.

Solution: 650 km = 65,000,000 cm.

We know

Scale 1: 10000000

View: 1: 1 000 000 - the scale of the picture.

Teacher: Hello, we sent it 3 times. On a different scale, they did it?

View of scholars: s numerical.

Teacher: That's right, but at the same time give your friend some homework. We found out by the waters of several kilometers to Yurga metro station, Sarsaz village, Shalai village, Logova village. The skin group will be removed. Know the name of the p / st. Yurga-2 to its settlements in a map, vikoristovuyu and scale. The map of the Yurginsky district is on the tables for the skin group.

From the same:

1 group: from p / st. Yurga-2 to Cape Yurga. (displayed on the map 5.7 cm. Scale 1 m - 1.6 km.)

1.6 * 5.7 = 9.12 (km)).

View: displayed from p / st. Yurga -2 to Cape Yurga 9.12 km.

Group 2: from the subway station Yurga-2 to the village of Sarsaz. (On the map 3.2 cm. Scale 1 cm. - 1.6 km

1.6 * 3.2 = 5.2 (km)).

View: displayed from p / st. Yurga-2 to the village of Sarsaz 5.2 km.

Group 3: from the sub-station Yurga 2 to the village of Shalai (On the map 5.3 cm. Scale 1 cm. - 1.6 km

1.6 * 5.3 = 8.48 (km)).

View: displayed from p / st. Yurga-2 to the village of Shalai 8.48 km.

Group 4: from the subway station Yurga 2 to the settlement of Logova (7.8 cm on the map. Scale 1 cm - 1.6 km

1.6 * 7.8 = 12.48 (km)).

View: displayed from p / st. Yurga-2 to the settlement of Logova up to 12.48 km.

Supervisor: Zavdannya vikonane, now your results are correct from the information, from the drivers of the bus.

What group has you gotten off to?

Suggestion of scholars: I didn’t sleep. See, yaku prorakhovuvali themselves, went out with a mensha.

For what?

View the scientists. Buses go by motor roads, as prompted for a topographic plan, ob'yzhzhayuchi fields, rivers, foils, swamps. And we knew that we were in a straight line from one settlement to the next, because ours was a mensha, not those who were near the waters.

V. Pidsumok lesson :.

What have you seen this year?

Vidpovіdі scholars:

We got to know the scale.

They guessed that they saw the scale and fixed the knowledge of geography on mathematics.

You know and appear on the map that on the spot, the scale is victorious.

Well done. I am pleased with you.

Vi. Home rear:

According to the map of the Kemerovo region, you know the scale:

a) be recognized between the towns of Kemerovo and Novokuznetsk;
b) come up with a skin group according to the same tasks on a whole topic (for the exchange of employees with other groups);
c) vikoristovuchi thread that scale, to know the dinner of the little river Tom, which is going across the Kemerovo region.

Literature:

Pidruchnik from mathematics: N.Ya. Vilenkin, V.I. Zhokhov and I.

Pidruchnik from geography: Gerasimova T.P., Neklyukova N.P.