Math lessons for 5 years old. Summary of a lesson in mathematics for children of the senior group (5–6 years old) “Travel to the city of Mathematics

Children aged 5-6 years begin to actively explore and master the world around them. They become why-wonderful, trying to disassemble each thing “by the cogs” in order to understand how it works, trying to establish cause-and-effect relationships between events. So by this age, and even earlier - from the age of 4, you can begin to teach your child the basics of mathematical knowledge. Since the leading activity of older preschoolers is still play, its elements should be used in teaching.

Where to start studying mathematics?

There is no need at all, as Malvina did, to immediately seat the children at the table and teach them to write numbers, fold apples, etc. It is better to simply, when talking with a child, draw his attention to the properties of various objects, compare them with each other: a watermelon is heavier than an apple, a cat is smaller than dad. Then, slowly, start mentioning prime numbers: bring me three plates, there are two more candies left in the bowl.

Along with numbers, using the same principle, you need to introduce children to the basic concepts of geometry - show and tell what round, triangular, long and short mean. For children 5-6 years old it will not be very difficult to understand these concepts, especially if parents reinforce these, in general, abstract concepts with practical everyday examples: this house is higher, and that one is lower, the road to grandma is longer than the road to the nursery garden.

How to conduct almost school math classes

After the preschooler has mastered these basic concepts, he can move on to the “gates of mathematics” - mastering the concepts “ number" And " number”, which poses the greatest difficulty for children aged 5 years.

The main principle of conducting a mathematical lesson for children 5-6 years old is clarity, i.e. An explanation of each concept or term should be accompanied by specific examples and homework. Of course, tasks for children should be chosen in accordance with their age - interesting, more like a game.

So that parents of future schoolchildren do not have to reinvent the wheel themselves and come up with mathematical examples that are both entertaining and educational, teachers together with psychologists have developed programs for preparing children for school, which include many methods of teaching children the basics of mathematical knowledge through games. These programs also use thematic coloring books, cards with numbers, educational cartoons, various logic puzzles, fun arithmetic exercises, mathematical copybooks and many other tasks.

Now a little more detail.

Math coloring pages

Math coloring pages are very effective for teaching numbers to preschoolers. In the process of coloring, the child will remember what the number looks like and what it is called, and will understand its “numerical content.” In addition to drawing numbers, such coloring books can also contain elements of geometry - from circles, squares, triangles, the child can add various ornaments and paint them in different colors. Moreover, there are coloring books that can teach a child ordinal counting - these are coloring books from the “Draw by Numbers” series, in which, by sequentially drawing a broken line from number to number, the child himself can draw a rather complex picture. Coloring pages can also contain various exercises. An example of such a task is that a number is depicted in a large circle, the child needs to draw and color in it the number of small circles that this number represents.

Cards with numbers

Activities with digital cards will help to quickly introduce children to all the necessary mathematical concepts. Cards with numbers and funny pictures can be used as dominoes, you can look for similarities and differences in them, you can make up various examples from them. Of course, the main role in such activities, at least at first, belongs to the parents - they must come up with tasks and teach the child how to “play” cards.

Logic puzzles and educational games

Examples can be found at every step, for example, all folk riddles are, in essence, tasks for the development of logical thinking. A classic example of a fun logic puzzle in mathematics is “What is heavier: one kilogram of fluff or one kilogram of iron?” As for didactic games, don’t let the word “didactic” scare parents - these are just educational games, such as counting how many yellow triangles are in the room. You can play this game with your baby even, for example, while sitting in line at the doctor or returning from kindergarten.

If mom doesn’t have the opportunity to buy ready-made recipes in the store, you can make them yourself. This is not difficult - the contours of any number or figure are drawn on paper with a dotted line, which the child will then have to circle. Such activities are highly recommended in all school preparation programs starting at age 5. When working with any copybooks, you develop accurate writing skills, develop attentiveness and perseverance.

What must know baby

Mathematics is a rather complex science, and so that from the very beginning of school the child does not experience difficulties in studying it, he needs to have basic mathematical skills. So what should a future student know and be able to do?

  1. count to ten;
  2. know the numbers;
  3. draw basic geometric shapes - circles, squares, rectangles, triangles;
  4. divide a circle and a square into two or four equal parts;
  5. measure the length, height and width of objects;
  6. know what is higher-lower, more-less, wider-narrower;
  7. solve the simplest arithmetic problems in one step.

Tips for parents

Despite the seriousness of the above recommendations, there is no difficulty in them. Any mother or father can teach their child the basic basics of mathematics. The main thing is to follow a few rules so as not to turn fun activities into dreary duties.

  • Don't force it - at the age of 5-6 years, a child can focus his attention on one task for no more than 30-40 minutes.
  • Don't rush to give advice.
  • Use different types of tasks.
  • Praise is probably the most important thing.

Children, like tiny sponges, absorb information about the world around them. However, if one-year-old babies can only observe what is happening, then preschoolers are distinguished by their ability to analyze and reflect. They are already beginning to compare objects by quantity, establish connections between them, and solve logical problems. All these skills will certainly be useful to children at school. This means that parents must devote all their efforts to their development and maintenance. Mathematics for children 5-6 years old will help to cope with this task. Let's talk about the intricacies of teaching children this difficult but very exciting science.

What preschoolers should know and be able to do

As a rule, children master counting to ten at the age of three or four. Closer to school, parents introduce them to two-digit numbers and simple math operations. So that the children do not lose the knowledge they have acquired, it is necessary to repeat the material they have covered, increasing its complexity over time.

According to teachers, children prepared for school should have the following skills:

  • solve simple puzzles and problems;
  • master the concepts of “back and forth, up and down, right and left”;
  • subtract and add prime numbers;
  • conduct comparative numerical analysis using the words “more, less, equal”;
  • independently count to ten and back;
  • answer the questions: “what is the score?” and “how much?”;
  • divide a circle and a square into equal parts;
  • know the geometric shapes of objects.

Children should master the listed skills at the age of 5-7 years. How quickly this will happen depends mainly on the parents of preschool children, the children’s desire to learn and the form of organization of lessons. Fortunately, today there are many manuals and workbooks for children of senior preschool age. Take, for example, educational books from “School of the Seven Dwarfs” or “Learning to Count” from Toru Kumon. By teaching children using specialized literature, parents will very soon notice the first successes. But how to properly teach mathematics to a 5- and 6-year-old child in order to avoid mistakes and not instill an aversion to the exact sciences?

Let's start with the fact that mathematics classes for children 5-6 years old should be held in a playful way. This method of learning material is optimal for preschoolers. If you just sit your child down in front of his textbooks, he may quickly get bored and switch his attention to something more interesting (the landscape outside the window, fancy patterns on the wall, etc.). As a result, such “burdensome” and “tiring” lessons will only cause him irritation. And every invitation from parents to study mathematics will be met with hostility. Here are other tips for organizing lessons:

  • Exercise only when the child is in a good mood. Attempts to force a preschooler to study without his desire can lead to absent-mindedness and poor concentration. Since children 5-6 years old have predominantly involuntary memory, it is much easier for them to remember information that evokes positive emotions.
  • Study regularly, periodically adding something new to your lessons. It's no secret that young children become bored with monotony very quickly. And if they lose interest, the information is unlikely to stick in the heads of young students. In addition, lessons should be conducted systematically so that preschoolers can constantly update their knowledge and develop acquired skills and abilities.
  • If a child fails at something or cannot understand the essence of a task, do not be nervous and irritated. You need to methodically explain the task to the preschooler until he has no questions left. Excessive parental demands and negative assessments of a child’s actions can once and for all discourage him from studying mathematics.
  • And finally, You cannot “stand” over children, forcing them to solve one problem after another. Although this method of teaching will lead to the assimilation of the material, it will discourage the preschooler from learning. Therefore, all classes should be held in an easy and interesting way. Developmental mathematics for children 5-6 years old requires the child’s involvement in the process, his direct participation in the development and solution of problems, personal initiative, and the use of fantasy and imagination. The combination of all these components is the key to effective learning.

L.G. Peterson, developer of the elementary mathematics course “Igrachka”: “Often, the preparation of preschoolers comes down to teaching them reading, writing and counting. According to research, serious difficulties in primary school are faced not by those children who have a meager amount of skills and knowledge, but by those who demonstrate passivity and do not want to think and learn something new. In this regard, the main goal of primary training should be the diversified development of the child: his creative and intellectual abilities, personality traits, and motivational factors. In this case, special attention must be paid to connecting fantasy and imagination. It is creativity, along with the ability to create and invent something new, that contributes to the formation of a preschooler’s personality, the development of his independence and cognitive interest.”

Lessons with cards

Let's look at several exercises that help develop a child's mathematical abilities. To conduct them, you will need cards with numbers from 1 to 10. Of course, parents can quickly and easily make them. However, it is much better to involve the child in this process, entrusting him with the most interesting and responsible work. So, let's prepare training cards. We invite the preschooler to independently divide the landscape sheet into four equal parts and cut out cards along the lines. Having counted out 10 pieces, we give them to the child and ask them to write a number on each and draw the corresponding number of pictures. These can be circles, flowers, hearts, etc. If a child has difficulty writing any numbers, you should help him with this. After the cards are ready, you can start studying:

"Place it in order"

This exercise will help your child remember numerical values ​​and the concepts of “more and less.” We ask the preschooler to arrange the cards in order, starting with the smallest and ending with the largest number. The exercise not only helps to consolidate the studied material, but also perfectly trains memory and imagination.

"Compare the numbers"

After showing the child two cards, we invite you to compare them. To begin with, the preschooler names the meanings of the numbers, then answers the question which one is greater and by how many units. Then you should replace one of the cards and repeat the same questions. This activity can continue for quite a long time until the child loses interest in it.

"Count the objects"

Since, in addition to numbers, there are various images on the cards, it is worth inviting the child to count them. You can also complicate the task by preparing sheets with drawings of various animals and a number series from 1 to 10. Having counted the number of animals, the preschooler must circle the corresponding number. As a rule, children really like this exercise and do not cause them any particular difficulties.

"Missing Numbers"

The child holds the cards in his hands. An adult tells him two numbers, for example, 1 and 4. The young student finds these cards and places them on the table at some distance from each other. Now he must fill in the gaps between the numbers and find the two missing links. Accordingly, these will be cards with numbers 2 and 3.



Entertaining mathematics

Parents of preschoolers should use their imagination when developing activities. It is not at all necessary to conduct lessons sitting at the table when there are so many exciting things and phenomena around. So why not use them for arithmetic purposes? For example, you can involve children in preparing their favorite dishes, be it pizza or apple pie. Ask your child to count out two cups of flour and allow them to pour it into a prepared bowl themselves. Give your preschooler the task of fetching five eggs from the refrigerator, carefully placing them in a bowl. Let the child independently add three tablespoons of sugar, etc., to the dough. Such entertaining mathematics will not only bring great pleasure to the child, but will also be etched in his memory for a long time.

Most likely, he himself will not understand that he is involved in the learning process. For example, when getting ready for kindergarten in the morning, ask your preschooler to count the number of buttons on his shirt. And when you arrive at the hospital, determine the number of patients sitting in the queue. And how many objects to count can you find while walking down the street! Cars near the house, people at the bus stop, birds flying in the sky, floors of buildings - and this list is almost inexhaustible.

Alexandra, mother of eight-year-old Andrey: “My son and I learned to add and subtract at the age of 5. And they did it immediately in their minds, without using sticks or bending their fingers. Let's go somewhere, count the objects, and then add 1 to them. For example, three cars are parked near the store and then another one drives up to it. The son adds up in his mind and gives the answer. Later they began to add 2, 3, and so on in increasing order. Then they changed the order of calculations. They began to add a larger number to a smaller number. This, of course, was more difficult, but over time we got used to it. We walk a lot. At a minimum, a daily “walk” to the garden and back. Now we are already visiting the school, the journey to which takes 20 minutes in one direction. So there's plenty of time. We’ve finished counting, now we’ve started learning English words using the same method.”

Math games

Many children with a humanitarian mindset tend to consider mathematics a rather boring science. However, it is enough to show the children the other side of this subject and their opinion will change dramatically. Mathematical games for children 5-6 years old will help adults with this. Let's list some of them:

"Count the Claps"

This game contributes to the development of not only mathematical abilities, but also auditory perception. Clapping your hands with varying strength and frequency, you need to ask the child to count the number of beats. You can complicate the task by asking your child to reproduce what he heard.

"Hocus Pocus"

Having taken several small objects (sweets, buttons), the adult clenches them in his fists and hides them behind his back. Next, the child is given a simple math problem. For example: “I only have seven buttons. I hold four in my right hand, how many are held in my left fist?” If the preschooler answered correctly, you can invite him to switch roles. Let him come up with the problem himself and calculate its solution in his mind. If the child gave the wrong answer, you should hide the objects behind your back again, but in a different quantity.

"Find the odd one out"

An adult cuts out several dozen pictures of various categories from magazines: transport, food, plants, furniture, etc. Next, you should lay out images of the same theme on the table, adding a few extra objects to them. The child is given the task to count all the pictures, find “foreign” objects and name their number. Finally, the remaining images of the same category are counted.

"Say the number"

This game is a group game. The adult leader stands in the center of the circle formed by the children and one by one throws a ball to the kids, calling any number. Each child, having waited his turn, throws the object back, saying the next number in order. It is advisable to avoid repetition.

Drawing by points

When the child can easily cope with the above exercises, then you can offer him drawing by dots. This is a very exciting activity, since in most cases, you don’t know what kind of picture you will get in the end. Therefore, children enjoy connecting the dots by drawing lines in order from one number to another.

Walking games

Many people remember such games from childhood. Their essence is that the path along which you need to get from one place to another is marked on the playing field. And the players take turns throwing the dice, counting the number of dots rolled up and making a move, again counting. Counting is limited to numbers from 1 to 12, but the child learns to add. For example, 3 and 6 points fell on the dice. And the player’s task is to calculate how much 3+6 is. He can make a move only after he gets the correct result. You can involve the whole family in the game process, it will be an exciting pastime.

"Shop"

This role-playing game is familiar to many adults. After all, little inventors periodically involve their parents in their fun. So they become sellers and offer customers to buy products from them. Or they themselves come to the store to buy toys. Usually, various pieces of paper act as money. But it would be much more useful to take a few real coins or buttons and make very real payments with customers. Over time, the concept of “surrender” can be introduced. If cheese costs 3 rubles, and the buyer gives one five-ruble coin, you need to return the extra money to him. A child involved in the game will learn counting and simple mathematical operations much faster.

Eva, mother of seventh-grader Varya: “I taught my daughter to count in her head before school. We started with the simplest numbers, then introduced two-digit and three-digit numbers. Now Varya is 12, she counts faster than her dad and me. And the secret is very simple: the main thing is that the child is involved in the learning process. We introduced our daughter to money very early. When I picked her up from kindergarten, I first gave Varya 5 rubles for candy or chewing gum. She herself calculated whether she had enough money, how much should be left, etc. Gradually the amount increased to 20 rubles. My daughter managed to divide it into several purchases, making the necessary calculations in her head. Now mathematics is her favorite school subject, she consistently takes part in all Olympiads.”

If a child refuses to count

Some children categorically refuse to learn counting skills even through play. Often the reason for this is the wrong approach of parents to conducting classes. Having tried to work with a preschooler a couple of times using the “sit and decide” scheme, many adults discourage their desire for mathematics for a long time. However, a dislike of counting may be explained by the child being overloaded with various developmental activities or sections. Or maybe the preschooler simply doesn’t like his parents’ reaction to incorrect answers. And there can be a huge number of similar reasons. How should parents behave if their children refuse to learn to count?

Be patient

Perhaps the child does not understand mathematics due to his young age. After all, not all five-year-old children have the ability to calculate. In addition, preschoolers with a humanitarian mindset can ignore numbers until they go to first grade. On the other hand, many of them by this time already read quite fluently and even know how to write. Therefore, you should not overreact to your child’s reluctance to count. After all, being successful “on all fronts” is simply unrealistic.

Use the method of “coercion by persuasion”

If a preschooler has an aptitude for mathematics, but simply does not want to learn, you need to convey to him the need for this process. After all, you can’t do without counting skills. We need to talk about this as often as possible, demonstrating this fact with real-life examples. So, while moving around the city on a bus with a child, a mother can say to him, “Please help me, my hands are full. Take some change from my jacket pocket, count out fifteen rubles and pay for the fare. Oh, I completely forgot, you can’t count. You'll have to deal with it yourself." By periodically creating such situations, you can gradually convince the child that it is time to learn to count.

Perform “number attacks”

If a child does not want to perceive numbers, you need to surround him with them. To do this, you should prepare a lot of cards with numbers and pictures. By hanging sheets of paper around the perimeter of the apartment and focusing attention on them from time to time, it will be much easier to teach your child to count. It is also necessary to include numbers in speech as often as possible when communicating with a child. You can play hide and seek with him, loudly counting down the time, teach poems like “one, two, three, four, five, the bunny went for a walk,” show unobtrusive educational cartoons with numbers, etc. Over time, the preschooler will certainly become interested in mathematics.

Conduct “sweet activities”

If a preschooler does not want to accept either classical or game methods of teaching counting, you can use a win-win technique. Perhaps not a single child will refuse sweets. So why not set the condition for children that they will receive candy only when they can name the correct amount. This will spur in preschoolers the desire to quickly master the skill of counting.

Thus, mathematics for preschoolers is an incredibly interesting and exciting science. The main thing is to choose the right form of education, which will be as enjoyable and unburdensome as possible for the child. Ideas for entertaining lessons are all around us; we just need to use our imagination and look at familiar things from a new angle.

Video on the topic

From birth, a child learns about the world, he studies what surrounds him. Parents play an important role in the education and formation of their child. Teaching mathematics to preschoolers is an interesting and uncomplicated process, parents can easily cope with it. Develop your child's attention.

Math exercises for preschoolers

Engage with your child in a calm environment for 25–30 minutes every day. If you see that your child is tired, stop the activity. Don't scold your child, praise him, even if he doesn't succeed. With your strictness and dissatisfaction, you will discourage your child from learning and learning something new.

Teach your child mathematics in the form of games and interesting exercises, mathematics tasks for preschoolers, while playing, the child quickly remembers.

A child 5-6 years old should:

    Be able to determine the location of objects: right, left, middle, top, bottom, back and front.

    Know and distinguish colors: red, blue, green, yellow, gray, white, black, blue, orange.

    Be able to arrange numbers in order from 1 to 5 and in reverse order from 5 to 1.

    Know the basic shapes: square, rectangle, triangle, circle, oval, polygon.

    Be able to compare more, less, equally. Be able to add one item to a group with fewer items.

    The child learns to write numbers.

1. Determine the location of objects

It is very important to form a spatial understanding in children not only in real life, but also in mathematics, physical education, and music classes. Preschoolers aged 5–6 years should know the location of objects: left, right, top, bottom, front, back.

Let's look at the next picture.

The picture shows a house. To the left of the house there is a tree, a fence, and two jugs. To the right of the house there is a tree and a fence.

At the top there is a roof and an antenna on the roof. There is earth below the house. There is grass drawn in front, a cat is sitting on the grass. You can't see anything behind the house.

Exercise 1

Look at the picture carefully and tell us the location of the objects: left, right, top, bottom, front, back.

What's on the left of the house?

What is drawn to the right of the house?

What's on the front?

What's on the back?

What's pictured below?

Exercise 2

Look at the picture carefully and answer the following questions.

What toy is shown on the front?

What toy is shown on the back?

What toys are shown on the right?

Exercise 3

Look at the picture carefully and tell us the location of the objects: left, right, top, bottom, front, back. Answer the following questions.

Who is on the left in this picture?

Who is on the right in this picture?

Who is pictured at the top?

What's pictured below?

What toys are shown on the left?

What objects are shown on the right?

2. Learning colors

A child can learn all the colors by visually studying different objects. Any information can be easily absorbed in a playful way.

Red

Look carefully at each picture with your child and repeat that the color is red. A red apple is drawn in the picture. A red flower is drawn in the picture. A red tomato is drawn in the picture. A red car is drawn in the picture. A red ball is drawn in the picture. A red pyramid is drawn in the picture.

Blue

Look carefully at each picture with your child and repeat that the color is blue.

The picture shows a blue bow.

The picture shows a blue bucket.

The picture shows a blue dolphin.

The picture shows blue boots.

The picture shows a blue bird.

The picture shows a blue umbrella.

Yellow

Look carefully at each picture with your child and repeat that the color is yellow.

The picture shows a yellow umbrella.

The picture shows a yellow star.

The picture shows a yellow banana.

The picture shows a yellow lamp.

The picture shows yellow flippers.

The picture shows a yellow lemon.

Green

Look carefully at each picture with your child and repeat that the color is green.

The picture shows a green watermelon.

The picture shows a green frog.

The picture shows a green hat.

The picture shows green leaves.

The picture shows a green sharpener.

The picture shows a green pea pod.

Orange

Look carefully at each picture with your child and repeat that the color is orange.

The picture shows an orange pumpkin.

The picture shows an orange fish.

The picture shows an orange carrot.

The picture shows an orange mug and an orange saucer.

The picture shows an orange ball.

The picture shows an orange cake.

Brown

Look carefully at each picture with your child and repeat that the color is brown.

The picture shows a brown cookie.

The picture shows a brown chicken.

The picture shows a brown briefcase.

The picture shows a brown pot.

The picture shows a brown bear.

Gray

Look carefully at each picture with your child and repeat that the color is gray.

The picture shows a gray wolf.

The picture shows a gray mouse.

The picture shows a gray camera.

The picture shows a gray cap.

The picture shows a gray computer mouse.

Blue

Look carefully at each picture with your child and repeat that the color is blue.

The picture shows a blue cage.

The picture shows a blue teapot.

The picture shows a blue stapler.

The picture shows blue panties.

The picture shows a blue saucepan.

The picture shows a blue salt shaker.

White

Look carefully at each picture with your child and repeat that it is white.

The picture shows a white bunny.

The picture shows a white mug.

The picture shows a white bird.

The picture shows a white dress.

The picture shows a white bow.

Black

Look carefully at each picture with your child and repeat that the color is black.

The picture shows a black teapot.

The picture shows a black notepad.

The picture shows a black computer.

The picture shows a black umbrella.

Consolidation exercises

After learning and reviewing all the colors, watch and do the following exercises. Your child can strengthen his new knowledge. After learning the colors, play visually with your child. Here the child will use auditory memory, visual memory, and attention.

Exercise 1

Look at the following picture and answer the questions.

What color is the house painted?

What color is the roof of the house?

What color is the pipe on the roof?

What color are the windows painted?

What color are the doors painted?

What color is the grass?

Exercise 2

Look carefully at the picture and answer the following questions.

What color is the ball?

What color are the stripes on the ball?

Exercise 3

What color is the tree trunk?

What color are the leaves on the tree?

What color are the berries on the tree?

Exercise 4

Look carefully at the following picture. There are three cars drawn here. Answer the following questions carefully.

What colors are there on a police car?

What color is the flashing light on a police car?

What colors are there on an ambulance?

What color are the ambulance wheels?

What colors are on a fire truck?

What color is the flashing light of a fire truck?

Exercise 5

Look at the following picture and answer the following questions.

What flower is shown in the picture?

What color are the leaves?

What color are the petals?

What color is the center of the flower?

3. Learn numbers

What number?

How many balls?

What number?

How many cubes?

What number?

How many balls?

What number?

How many cars?

What number?

How many apples?

What number?

How many pears?

What number?

How many nesting dolls?

What number?

How many dolls?

What number?

How many flowers?

What number?

How many watermelons?

What number?

How many carrots?

Consolidation exercises

After this exercise, your child can consolidate his new knowledge. After studying the numbers, look at the following exercises and play visually with your child. Here the child will use auditory memory, visual memory, and attention.

Exercise 1

Find all the fruits that are drawn one at a time.

Find all the fruits that are drawn in twos.

Find all the fruits that are drawn in threes.

Are there four balls in this picture?

Are there five daisies in this picture?

How many nuts are there in this picture?

Are there 9 balls in this picture?

How many bananas are there in this picture?

How many ducklings are there in this picture?

Exercise 2

Look carefully at the number and draw the same number of balls.

Look at this number and draw apples in red.

Look carefully at this number and draw balls in blue.

Exercise 3

Look at the number next to the picture and color the same number of objects.

Exercise 4

Look carefully at the picture; there are many houses on it. Now we need to answer a few questions.

How many houses are there in the picture?

How many windows are there in the second house?

How many red roofs are there on houses?

How many windows are there on the last house?

How many doors are there in the smallest house?

Exercise 5

Look carefully at the following picture and answer the following questions.

What is shown in this picture?

How many objects are there in this picture?

How many cars are red?

How many cars are blue?

How many cars are gray?

How many cars are yellow?

Exercise 6

How many vegetables are drawn in blue?

How many fruits are drawn in green?

How many bananas are drawn in gray?

Exercise 7

Look carefully at the following picture.

How many fruits are there in this picture?

How many vegetables are there in this picture?

How many yellow objects are drawn?

How many objects are drawn in red?

How many apples are there in this picture?

How many melons are there in this picture?

4. Learn to count from 1 to 5 and back from 5 to 1

Exercise 1

Connect the numbers in order.

Connect the numbers in reverse order.

5.Interactive game - learning figures

It is very important for a 5-6 year old preschooler to know shapes. Many children by this age know what a square, circle, rectangle, triangle, oval, polygon and rhombus are. Let's look at all the figures and practice the exercises.

Square

Rectangle

Triangle

Circle

Oval

Rhombus

Polygon

After studying the shapes, look at the following exercises and play visually with your child. Here the child will use auditory memory, visual memory, attention, let's add counting.

Exercise 1

In this exercise the figures are given, look at them carefully and answer the following questions.

How many rectangles are shown?

How many figures are there in total?

Which figure is shown in yellow?

How many figures are red?

What figure is shown in blue?

How many pieces are green?

Exercise 2

Look at the following figure and answer the following questions.

What figure is shown in the picture?

How many squares are there in it?

How many yellow triangles?

How many green triangles?

What other colors are there triangles?

How many different colors are there in this picture?

How many red pieces?

Exercise 3

Look at the following picture there are many different shapes. Look at them carefully and answer the following questions.

How many triangles are there in this picture?

How many red pieces are there in total?

How many squares are there in this picture?

How many yellow pieces are there in total?

How many rectangles are drawn in blue?

How many triangles are drawn in yellow?

How many blue pieces are there in total?

How many squares are blue?

How many polygons are there in this picture?

Exercise 4

Look at the following picture, there are many different shapes drawn on it. Look at them carefully and tell me what can be built from the following figures?

Exercise 5

Look at the following pictures, they consist of shapes. In this exercise you need to color these shapes by color. Be careful.

Color any 6 triangles red.

Rectangles in blue.

Color the five triangles gray.

Two squares in yellow.

Seven triangles in green.

Color the five triangles blue.

Did the figures turn out beautiful? Look at them and count them.

Color the remaining figures yellow.

What figures are used here?

6. Learn to compare more, less and equally

Preschoolers aged 5–6 years should be able to compare more, less, equally. Be able to add one item to a group with fewer items.

Take two apples and one apple separately. Look carefully at the two pictures, where are the most apples? Where there are two apples there are more, and where there is one apple there are less.

In this picture of apples, there are two apples drawn equally on the left and two apples drawn on the right.

Add one apple to fewer apples.

The smaller number of apples on the left is one apple. The larger number of apples is on the right - that's four apples.

Add one apple to fewer apples. We get two apples. The larger number of apples becomes one less apple, resulting in three apples.

Let's look at the following pictures and compare which objects are more in this picture, which objects are smaller, and which are equally divided.

Exercise 1

How many birds are there in the picture on the left?

How many birds are there in the picture on the right?

Which picture has more birds on the right or left?

Exercise 2

Look carefully at the following picture and answer the following questions.

How many fish are there in the picture on the right?

How many fish are there in the picture on the left?

In which picture are there more fish on the right or left?

Are there equal numbers of fish in the first and second pictures?

Exercise 3

Look carefully at the following picture and answer the following questions.

How many cubes are there in the first picture?

How many cubes are there in the second picture?

Which picture has more cubes on the right or left?

Exercise 4

Look carefully at the following picture and answer the following questions.

How many cars are there in the left picture?

How many cars are there in the right picture?

Which picture has more cars?

How many cars will there be in the right picture if you add another car there?

Exercise 5

Look carefully at the following picture and answer the following questions.

How many bunnies are there in the first picture?

How many bunnies are there in the second picture?

Which picture has more bunnies?

Are there equal numbers of bunnies in these two pictures?

7. Learning to write numbers

Look carefully at the numbers, there are arrows there, these arrows show how to write each number correctly. Practice every day, and your child will be able to write easily, beautifully and quickly.

Math games for preschoolers

These games will help your child become familiar with mathematics in the most interesting and exciting way because children love to play. Educational games are great for this.

Game "Quick Count"

The game "quick count" will help you improve your thinking. The essence of the game is that in the picture presented to you, you will need to choose the answer “yes” or “no” to the question “are there 5 identical fruits?” Follow your goal, and this game will help you with this.

Game "Piggy Bank"

I can’t resist recommending to you the game “Piggy Bank” from the same site where you need to register, indicating only your E-mail and password. This game will suit you fitness for the brain and rest for the body. The essence of the game is to indicate 1 of 4 windows in which the amount of coins is the largest. Will you be able to show excellent results? We are waiting for you!

Game "Number Reach: Revolution"

An interesting and useful game “Numerical Reach: Revolution” that will help you improve and develop memory. The essence of the game is that the monitor will display numbers in order, one at a time, which you should remember and then reproduce. Such chains will consist of 4, 5 and even 6 digits. Time is limited. How many points can you score in this game?

Game "Mathematical Comparisons"

A great game with which you can relax your body and tense your brain. The screenshot shows an example of this game, in which there will be a question related to the picture, and you will need to answer. Time is limited. How much time will you have to answer?

Airport game

The game "Airport" is an interesting game, the purpose of which is to show where the blue plane is flying and where the red one is coming from. This exercise will help develop such qualities as: intelligence, attention, speed of thought, speed of reaction. How many points can you score at the end of the game? Let's check it out!

Secrets of brain fitness, training memory, attention, thinking, counting

If you want to speed up your brain, improve its functioning, improve your memory, attention, concentration, develop more creativity, perform exciting exercises, train in a playful way and solve interesting problems, then sign up! 30 days of powerful brain fitness are guaranteed to you:)

Super memory in 30 days

As soon as you sign up for this course, you will begin a powerful 30-day training in the development of super-memory and brain pumping.

Within 30 days after subscribing, you will receive interesting exercises and educational games in your email that you can apply in your life.

We will learn to remember everything that may be needed in work or personal life: learn to remember texts, sequences of words, numbers, images, events that happened during the day, week, month, and even road maps.

How to improve memory and develop attention

Free practical lesson from advance.

Money and the Millionaire Mindset

Why are there problems with money? In this course we will answer this question in detail, look deep into the problem, and consider our relationship with money from psychological, economic and emotional points of view. From the course you will learn what you need to do to solve all your financial problems, start saving money and invest it in the future.

Speed ​​reading in 30 days

Would you like to quickly read books, articles, newsletters, etc. that interest you? If your answer is “yes,” then our course will help you develop speed reading and synchronize both hemispheres of the brain.

With synchronized, joint work of both hemispheres, the brain begins to work many times faster, which opens up much more possibilities. Attention, concentration, speed of perception intensifies many times over! Using the speed reading techniques from our course, you can kill two birds with one stone:

  1. Learn to read very quickly
  2. Improve attention and concentration, as they are extremely important when reading quickly
  3. Program content: expand knowledge about the environment; introduce the quantitative composition of the number 4 from units and from two smaller numbers; learn to compose a set of four units and identify its elements; compare two sets; consolidate knowledge of numbers; develop the ability to divide a whole into parts and make a whole from parts; .

    Progress of mathematics lesson

    The teacher draws the children's attention to his friend's clothes, his hairstyle, shoes and other features of his appearance.

    Game “What is your friend wearing”?

    Children become pairs, facing each other, remember the features of the appearance of those standing opposite. After this, the children, at the teacher’s command, turn away from each other and answer the teacher’s questions in turn.

    Then the teacher invites the children to sit at the tables.

    Guys, remember, it snowed recently and there was so much of it that you could go sledding. And we rode. But we only had one sled. We took turns riding each other and did not quarrel. What, guys, can you call children who play together, share toys and don’t quarrel? (Friends).

    Now I’ll tell you a poem about friends who played in the snow, and then:

    Alyosha fell into the snow,

    And then - Seryozha,

    And then Marinka,

    And behind her is Irinka.”

    How many children are there in the snow? (4)

    Let's draw children on a piece of paper, but designate them like this: Alyosha with a triangle, Seryozha with a circle. Marinka is a rectangle, and Irinka is a square.

    The teacher shows on the easel how to position the image correctly.

    “How many children are there in total? (4). Let's outline them with a graph. How many Alyosha? How old is Seryozha? How many Irinoks? How many Marinkas? (1).

    The teacher puts the number 1 next to each image,” sums up:

    So 4 is: 1, 1, 1, 1.

    Then the children draw the same graph on their own sheets of paper. For reinforcement, teachers repeat the same questions.

    Guys, tell me, how many pencils of different colors should I take so that everyone gets one? (4).

    The teacher draws the next graph on the easel, next to the previous one.

    Tell me, how many different colored pencils have I drawn?

    How many red? How many blue ones? How many green? How many blacks? So 4 is: 1,1,1,1.

    Children draw the same graph on their paper. The teacher suggests checking whether everyone got a pencil and drawing arrows from each child to the colored circle.

    Then the children turn the sheet over to the other side. It is divided into three parts by vertical lines. In the first, the teacher suggests drawing children from the poem in a row,

    How many children were there? (4). We put the number 4. How many Boys were there? (2). Let's put the number 2. Let's circle them with a graph and designate each graph with the number 2. So what is 4? (It's 2 and 2)

    The children played in the snow, and then went home and took them out into the street:

    Alyosha, Seryozha and Marinka - sleds, and Irinka - skis. How many things did the children take out? (4). Let's draw a graph. How many sleds were there? (3). Let's circle a new graph and put the number 3. How many skis were there? (1). So what is 4? These are 3 and 1. Children complete this task on their sheets.

    The children played with sleds and skis and got tired of them. They went home and brought out: Alyosha - a hockey stick, and Irinka, Marinka and Seryozha - skates. How many things have the children taken out now? (4). We draw a graph and denote it with the number 4. How many clubs were there? (1). How many skates were there? (3).

    Children draw a graph and place chips with numbers. Together with the teacher they summarize:

    This means 4 is 1 and Z. Well done, guys, you coped with the task correctly. Now let's relax and play an interesting game. Quietly get up from the tables and... come to me. The game is called “Fold the Picture.” It is a relay race game. You need to carefully count the circles on the card and place the card face up on the cell where the same number is. If everyone completes the task correctly, the big picture will emerge.

    The teacher invites the children to split into two teams and take turns running to the picture and each laying out their card. After the game, the teacher summarizes and praises the children, and also notes mistakes. The game is played 2 times.

    Then the teacher invites the children to sit on the carpet, relax and talk.

    The game “Who can name the most actions” is played.

    Guys, what professions do you know? (Children call). And now I will name a profession, and you will name the actions that people of this profession perform. Everyone names one action. For the correct answer I will give you a chip, and at the end of the game we will count how many chips everyone has. The winner will be the one who collects the most chips.

    Well done guys, you all know a lot, and now let's sit down at the tables. On your tables there are envelopes in which Dunno put the cut pictures. He mixed them up and doesn't know how to put them together correctly. Let's help him.

    Children put together cut pictures and talk about the depicted plot from a fairy tale.

    Well done guys. And now I invite you to the carpet. Imagine that you are light snowflakes. The snowflakes flew smoothly through the air, swirled, smoothly, and the snowflakes calmly fell to the ground and lay motionless. We relaxed completely. Now let's get up calmly. Look at me with your eyes. So our lesson with Vaiya has come to an end.” Everyone did well, they did well.

    Elena Vasilievna Sheina
    Summary of a mathematics lesson for children of the senior group (5–6 years old) “Travel to the city of Mathematics”

    Program content:

    educational:

    Summarize the acquired knowledge;

    To consolidate quantitative and ordinal counting within 6, formation of the number 6, counting skills within 6;

    Strengthen counting skills;

    Strengthen the ability to write down the named numbers in the form of number cards;

    Strengthen the ability to correlate a number with the designated figure;

    Exercise in establishing the equality or inequality of two groups of objects, transforming inequality into equality;

    Practice solving arithmetic problems, consolidate knowledge about geometric figures;

    Continue to form spatial temporal submissions: left, right, behind, before, after.

    developing:

    Develop perceptions and ideas children through the accumulation and expansion of sensory experience;

    Develop visually effective and visually imaginative thinking by teaching methods of mental action (analysis, synthesis, comparison, generalization, establishing cause-and-effect relationships);

    Develop communication skills children(help each other, express their actions in speech);

    Develop visual attention, memory, hand-eye coordination;

    Continue to develop skills of self-control and self-analysis (evaluate work results, correct mistakes).

    educational:

    Continue to develop interest in mathematics, desire to work in a team.

    Material for the lesson:

    dispensing: sheets with tasks for each child, simple pencils, marker, cards with geometric shapes;

    demonstration: a sheet of A-3 paper for drawing a rocket by numbers, 5 houses with numbers (from 5 to 9, a letter in an envelope, a bag with gifts, a disk with tasks, an audio recording of a rocket takeoff;

    TSO: multimedia equipment.

    Guys, today I want to invite you to something unusual journey. We'll go to city ​​of Mathematics. Do you want it? (Answers children)

    There are many obstacles and puzzles waiting for us there. But I think you can handle them! How can you go to journey? (Answers children)

    Look, in front of you is an encrypted mode of transport.

    Showing it on an easel.

    By connecting the numbers in order, we will find out what we will go to journey. What number should we start with? (Answers children)

    And what number will we connect it with? (Answers children)

    Dictation children I draw with a marker and connect the numbers with lines.

    So what will we fly today? What did we get? (Rocket)

    Well, well, sit down more comfortably. Let's start the reverse countdown: 10-9-8-7-6-5-4-3-2-1. Start!

    Music is playing.

    1. Under a bush by the river 2. Little Red Riding Hood found it in the forest

    May beetles lived. mushrooms: 5 boletus and 1 chanterelle.

    Daughter, son, father and mother. How many mushrooms did you find?

    http://www.stranamam.ru/

    So we arrived. Get up guys, look around. Oh, I see something interesting. Let's get closer. There's an envelope here. "Guys senior group of kindergarten"Sunny Bunny". Guys, did the letter come to the right address? (Answers children)

    Then let's read his: “Dear guys, we know that you love adventure very much. Therefore, we invite you to take a walk around our city. Small tasks await you guys on its streets. Be attentive. If you solve them correctly, then at the end of your traveling around the city you will find gifts from us. But more on that later! In the meantime, we wish you good luck! Residents cities of Mathematics»

    Oh, how interesting. Guys, here is the first task. Go to the tables.

    What a beautiful street it's called "Street of Our Little Brothers". Who do you guys think lives on this street? (Animals)

    That's right, look at how interesting their houses are. Which two? groups can you separate the animals? (For domestic and wild animals)

    How many animals do you see in total? (6)

    How many wild animals? (2)

    List wild animals? (Moose, fox)

    Now we need to indicate the number of wild animals with dots. But in which empty number card should this be done, on the right or on the left? (Answers children)

    That's right, on the blank number card on the right, put as many dots as there are wild animals.

    How many points did Sasha put? Why? (Answers children)

    Well done! How many pets do you see? (4)

    List your pets? (Cow, goat, cat, sheep)

    That's right, on the blank number card on the left, put as many dots as there are pets you see.

    How many dots did Nastya put? Why? (Answers children)

    Let's check if we completed the task correctly?

    The correct answer appears on the screen.

    Smart girls. Are there equal numbers of domestic and wild animals? (Answers children)

    Which animals are there more? (Answers children)

    How many fewer wild animals are there than domestic ones? (Answers children)

    Which animals are there more? (Answers children)

    How many more domestic animals are there than wild ones? (Answers children)

    How to make sure that there are equal numbers of animals? (Answers children)

    Who is the fox's neighbor on the right? (Answers children)

    Who is the goat's neighbor on the left? (Answers children)

    Look, the houses have numbers. Are the houses in order? (Answers children)

    Which houses are positioned incorrectly? (Answers children)

    Let's check if we completed the task correctly?

    The correct answer appears on the screen.

    What number comes after the number 2? (Answers children)

    And before the number 5? (Answers children)

    What are the neighbors of the number 4? (Answers children)

    Name a number less than 3 by one? (Answers children)

    What great guys. Outdoor task "Our Little Brothers" we have successfully completed it. Now let's go to another street.

    Children move to the carpet, where houses with numbers are placed.

    And this street is called "Geometric". Why do you think? (Answers children)

    Right. Geometric shapes live on this street. What geometric shapes do you know? (Answers children)

    Look how many houses there are, they are all different and marked with numbers. Now we will play a game with you "Find your house". You will take one card each, look at them carefully, count the geometric shapes on it and find the house you need. Do you understand the task? (Answers children)

    Then let's begin!

    Children look for houses with the correct number and stand next to them.

    Pick up the card. See if you have found your house correctly? (Answers children)

    Exchange cards.

    The game repeats itself.

    Then, go to the tables.

    Children go to equipped tables. The task is displayed on the screen.

    And there are still houses here. This street is called "Mysterious". Be attentive. Guys, take a look at the houses. What house do you think is the odd one out here? Why? (Answers children)

    Well done guys. How many tasks we have completed! Were the tasks difficult? (Answers children)

    What helped you? (Answers children)

    Guys, we completed all the tasks correctly. I think the residents cities of Mathematics We have already prepared something for you. Let's look.

    I show you the chest. Children go out onto the carpet.

    And now we need to return home. But in order to do this and fly to our garden, we need to count down and launch our rocket. Are you ready? (Answers children)

    So, sit down more comfortably. Let's start the reverse countdown: 10-9-8-7-6-5-4-3-2-1. Start!

    Music is playing.

    In the meantime, while you and I are flying, so that it doesn’t get boring, let’s solve some riddles.

    1. Two rings, two ends, and a stud in the middle? (Scissors)

    2. 4 brothers under one roof? (Table)

    3. Continue the phrase: “7 one... (Don't wait)

    “Measure 7 times... (Cut once)

    http://www.stranamam.ru/

    Here you and I have landed. Did you like our journey? (Answers children)

    Where have we been? (Answers children)

    What did you like? (Answers children)

    Where would you like to go next time? (Answers children)

    Tell us about our traveling at home.