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Teaching aids and simulators in the Integral online store for 1st grade
Simulator for the textbook Moro M.I. Simulator for the textbook Peterson L.G.

1. Tasks for recognizing geometric shapes: triangle, circle, rectangle

1.1. What is the name of this figure? Write its name: ___________.

1.2. What is the name of this figure? Write its name: ___________.

1.3. What is the name of this figure? Write its name: ___________.

1.4. How many triangles are there in the picture: ___________.

1.5. Measure the length of each side of the triangle and write them: _________.

1.6. Measure the length of each side of the rectangle and write them: _________

1.7. Draw a red rectangle. Two of its sides are equal to 3 cm, and the other two are equal to 5 cm.

1.8. Draw a blue rectangle. Two of its sides are equal to 4 cm, and the other two are equal to 8 cm.

1.9. Draw a black rectangle. Two of its sides are equal to 5 cm, and the other two are equal to 2 cm.

1.10. Try to draw a red triangle with sides equal to 5, 5 and 2 cm.

1.11. Try to draw a blue triangle with sides equal to 4, 6 and 5 cm.

2. Tasks to find similar figures.

2.1. What shapes are similar to a cone?

2.2. What shapes are similar to a cylinder?

2.3. What shapes are similar to a cylinder?

Teaching mathematics in a playful way develops and shapes the child’s cognitive interest. It is best to develop an interest in this science before teaching it at school.

Interesting and exciting tasks and exercises in mathematics for preschoolers will help with this.

Developmental tasks can instill in a child a number of useful qualities: perseverance, the ability to set goals and plan, follow rules, the ability to analyze, weigh the result, and give reasons.

Finding ways to solve non-standard problems helps stimulate creative and research activity.

Working with developmental math tasks is not at all difficult; parents are quite capable of handling it. But in order for the child to get the maximum benefit from classes, it is necessary to adhere to the rules of their organization:

Challenges help children understand that every potential challenge may contain a trick or a double meaning. To find the correct answer, you need to concentrate and look at the puzzle from different perspectives.

Before you begin the task, you need to give recommendations on how to complete it:

• Take into account the level of development and age characteristics of the child.
• For example, the attention span of preschoolers is lower than that of younger schoolchildren. They can maintain attention while doing an activity of interest for 30-50 minutes. If your baby's attention suddenly wanes, there is no need to force him to continue studying.
• Based on the interests of the child.
• Don't overuse hints.
• If a child cannot find a solution to a problem, there is no need to say the correct answers every time, you need to encourage him to search and be patient. To keep the child’s interest, an adult can offer a partial hint. As a rule, a preschooler does not manage to complete all tasks the first time, but this has positive aspects - if a child is forced to do something several times, the development of the volitional sphere occurs.
• Do not limit yourself to one type of exercise, but use a variety of material.
• This will help in diversified development. When organizing classes, you need to pay attention to training spatial-temporal relationships, counting skills, imagination, logical thinking, etc.
• Use different forms of organizing classes: individual work, games in pairs or team competitions.
• Proceed from the gradual complication of tasks.
• Use visual aids that will attract the child’s attention: bright pictures or photographs, images of favorite fairy-tale characters.
• Do not skimp on praise if the baby deserves it.
• Encourage independence.

Work with your child comprehensively. As you develop your math skills, also develop your reading skills. Find out from our article.

If your child is fidgety, let him run around orthopedic mat. Read about its benefits in ours.

Types of tasks in mathematics

Entertaining mathematical tasks include games, riddles, comic problems, puzzles, and exercises with geometric shapes. All of them are aimed at developing reaction speed, logical and innovative thinking, resourcefulness, and imagination.

Since preschool age is divided into junior and senior, tasks should be selected taking into account the degree of difficulty. The younger preschool age covers the age period of 3-4 years, and the older one - 5-7 years. Of course, the breakdown of tasks by age is conditional, since everything depends on the pace of development of the offspring, which is what we need to focus on.

Math games

Mathematical games include tasks that are based on the analysis of logical relationships and patterns.

To find the answer, you need to analyze the conditions of the problem, familiarize yourself with its content and understand what needs to be done.

The search for a solution involves the use of mental operations: analysis, synthesis, generalization.

A game “Make a sequence of numbers”. The child is given mixed cards with numbers from 1 to 5 or 10, and he must arrange them in the correct sequence.

Exercise . The child receives a form with pictures next to which there are numbers. You need to count the objects in the picture and circle the corresponding number.

Exercise . You need to draw the specified number of dots on the insect’s body.

Games for older preschoolers

A game "Compare the number". The adult asks the child to name the number, taking into account the conditions: it must be more than 5, less than 8. For each correct answer, you can give a sun or a flag.

Exercise . On a special form there are a series of pictures on the left, and examples on the right. It is necessary to choose a suitable example for the picture.

Mathematical problems for ingenuity

Puzzles are recommended for children of older preschool age. The most common are geometric problems with counting sticks. They are called geometric because the task is based on the composition and transformation of various figures. To complete the task, you need to prepare counting sticks and chart tables with images of figures.

You need to try to choose tasks with different conditions and solutions in order to stimulate the baby’s search activity.

Problems for preschoolers

A picture depicting some object is placed in front of the child. It could be a house, a bench,... The child must, focusing on the sample, put together a similar object from sticks. Subsequently, you can complicate the task by asking the child to add up the shown picture without having an example in front of his eyes, that is, from memory.

"Shape Transformation". The task is carried out in 2 stages. First, the adult shows the child a figure and asks him to make the same one out of sticks. Instructions for the second stage: you need to determine which and how many sticks should be removed to create a different figure.

The child needs to analyze the presented geometric shapes, imagine what the final result will look like and choose an answer.

The child is given an image of a complex geometric figure consisting of many details; he must count how many triangles, rectangles, and squares are in the figure.

Games for recreating figurative images from geometric shapes

Games with geometric shapes to compose various objects and animals are very useful for the development of analytical thinking and sensory skills. To conduct classes, you need to stock up on a set of shapes: a circle, a triangle, a rectangle or a square.

Games for younger preschoolers

“Make a picture.” The child is given a standard set of figures and simple pictures depicting various objects. Based on the example, the child must put together the pictures.

Games for older preschoolers:

“Make a silhouette of an animal or insect”. To play the game, take a circle, which is divided by lines into smaller and heterogeneous parts, and cut. Then, from the received parts of the circle, the children try to make a picture, and they are not given specific instructions - they must act according to their own plan.

"Items made from cubes." Looking at the image of the object, the preschooler builds the same one from cubes.

Riddles, comic problems, entertaining questions

Children meet riddles, comic problems and entertaining questions with extraordinary enthusiasm. They are able to activate the child’s mental activity, develop skills to notice the main and essential properties, separating them from the secondary ones.

Tasks belonging to this category are excellent for use at the beginning of a lesson to prepare the child for intellectual work and conduct mental gymnastics.

Comic tasks can create a favorable emotional background and lift your spirits. As a way to relax and switch attention, tasks can be used in the middle of the lesson.

Mathematical riddles are intricate questions or descriptions of some object or phenomenon that a child must guess. Since the riddles are mathematical, numbers will definitely appear in them, and computational actions will need to be performed.

Comic problems are game tasks with a mathematical meaning, to solve which you need to use ingenuity and resourcefulness, and in some cases have a sense of humor. It is recommended to study according to them from the senior preschool age. The content of the tasks is unusual, since along with the main characteristics they include secondary ones. It turns out that the search for an answer is, as it were, disguised by other conditions.

Examples of humorous problems

• 2 cars drove 5 km. How many kilometers did each car travel?
• If a stork stands on one leg, then it weighs 4 kg. How much will a stork weigh when it stands on 2 legs?
• What is heavier: 1 kg of concrete or 1 kg of wool?

Interesting questions

They are short questions asking people to count something.

• How many ears do three mice have?
• You, me, you and me. How many of us are there?

Games, mathematical entertainment

Games and mathematical entertainment are a great way to diversify the forms of work. If you choose a game with two participants, the child’s interest will increase due to the spirit of competition.

Games for younger preschoolers

“Finish the drawing.” The child is given a sheet of paper with geometric shapes depicted on it. The task is to draw a small picture based on the desired geometric figure. For example, from a circle you can draw a snowman or a clock, from a square - a TV, a briefcase.

An example of a game for older preschoolers

"Houses". For this game you will need 20 images of houses with 10 windows. You can judge the apartments by the presence of curtains on the windows. The essence of the game is to compare the houses with each other: how many residents need to be moved in so that all the apartments are fully occupied, how many residents need to be removed from the house so that the same number of apartments are occupied in it as in the fifth house.

Universal games

The older the child, the more numbers there can be.

Books on mathematics for preschoolers

1. A. Boloshistaya “Mathematics around you.” The workbook includes tasks to develop mathematical thinking. Intended for children 4-5 years old.
2. K.V. Shevelev “Mathematics for preschoolers.” The workbook consists of developmental tasks addressed to children aged 6-7 years. The classes are designed to prepare you for school.
3. L.G. Peterson “One is a step, two is a step.” The series of manuals is designed to develop a mathematical way of thinking, imagination, and the ability to analyze.
4. M. Druzhinin “The Big Book of Leisure”. The book includes rebuses, riddles, puzzles. The tasks are designed to develop analytical thinking, broaden your horizons, and activate your imagination.
5. O. Zhukova “Mathematics for preschoolers.” The coloring book contains game exercises that will teach your child to count to 10 and help develop perception and logic.

The dates are in the range from 14 to 19. The numbers 18 and 19 appear once. If the birthday is on these dates, then Bernard would immediately say the month.

If Cheryl told Alfred she was born in May or June, then the birthday could be May 19th or June 18th. Since Alfred knows for sure that Bernard does not know the answer, it means that we are not talking about May or June. That leaves July or August.

In July and August there are still dates in the range from 15 to 17, and 14 occurs twice. If the birthday were on the 14th, then Bernard, after Alfred’s remark, would still not be able to give an exact answer. So, we are not talking about the 14th. The remaining dates are July 16, August 15 and August 17.

If Cheryl had told Alfred that she was born in August, then after Bernard’s answer, Alfred could not have known the exact date of birth - after all, 2 whole dates fall in August.
So Cheryl was born on July 16th.

This problem was shown to Kong by a friend's niece. She played a prank on the TV presenter, saying that the puzzle was intended for 10-year-old schoolchildren.

The debate about how to solve a “simple” problem became serious. After 2 days, when most of the participants gave up, it turned out that the task was an Olympiad task for 14-year-old schoolchildren.

How to introduce a child to geometry?

Geometry- a science that can and should be taught to children from a very early age.

This page presents a selection of materials - cards, coloring pages, topics for assignments, games, with the help of which you can easily introduce your child to basic geometric shapes and figures.
You can open, download and print all materials using direct links.

Cards with geometric shapes and shapes

Bright cards with the most basic geometric shapes and shapes. Cards can be used as a visual aid in the first lesson.

Geometry for children - coloring pages, copybooks, workbook

1. Coloring book for children 3-5 years old. Each page of the notebook contains simple graphic exercises and tasks.
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2. Workbook in 2 parts with clear and interesting tasks for children 3-4 years old. By completing tasks, the child will become familiar with geometry and learn the names of geometric figures and shapes.
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3. Another very good notebook for introductory lessons with geometry for children 4-5 years old. The notebook contains many exciting and funny tasks, by completing which the child will easily learn the basic basics and concepts of geometry.

4. A notebook with educational and developmental tasks for children 6-7 years old.
In the notebook, the child is asked to complete simple graphic tasks. The child learns to work with a ruler and compass.
Download

Books about geometry for children

1. An entertaining book in verse “Fun geometry for the little ones” - author Alexander Timofeevsky.

Funny and playful poems will help kids quickly get to know and remember a lot of important information about geometric shapes and the scale of objects.
In the cheerful poems of A. Timofeevsky, humor and jokes will help the little reader relate still incomprehensible geometric concepts with long-familiar everyday objects. Children will see a trapezoid in a skirt, a circle in a plate, and a cylinder in a pipe. And, as the poet said, “school science will be given into your hands.”
The book can be downloaded and printed, but it is better, of course, to purchase the original.