Learn the multiplication table by playing online. Children's games

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In this article you will find useful tips on how to learn the multiplication tables quickly and easily.

It's good if your child has a knack for math. Then it’s easy for him to learn; even in childhood he can’t count. complex examples using simple operations: addition, subtraction, multiplication, division. In addition, addition and subtraction are not so difficult to master, but multiplication, and especially division, is not mastered by all children the first time.

Sometimes you just have to memorize the multiplication table in order to successfully use it in the future. But not everyone knows that with the help of assistive games and special equipment, you can teach your child this difficult table without any problems. More details below.

How to explain to a child what a multiplication table is?

After students finish the school year, teachers always assign them assignments for the summer. Children who have entered second grade are advised to learn the multiplication tables. The burden falls on the shoulders of the parents. However, not everything is so scary; start learning how to multiply numbers by explaining what a multiplication table is. Explain to your baby principles of multiplication.

Surely your child is already familiar with adding numbers. So explain that multiplication is adding identical digits a specified number of times. Example: 2 3 = 2 + 2 + 2.
Don't forget to explain that if you multiply any number by one, you get the same number, and if you multiply it by zero, you get zero.
Each subsequent value in the multiplication table is greater by the outgoing digit. Example: 5 5 = 25; 5 6 = 30. As you can see 30 > 25 by 5.

Associative multiplication table: photo

To develop memory, there are so-called association tables. They come in pictures, making it easier for children to remember multiplying numbers. An adult first shows pictures with numbers, where it is written, for example, 4 7, and then the corresponding picture with the answer, as in the image below (May 28 - Border Guard Day).

Thus, not only is the child’s visual memory trained, but the entire multiplication table is also memorized.

IMPORTANT! When you teach the table, don’t be nervous yourself and don’t force your child to do this process. Choose a suitable time for this, when the child is not engaged in outdoor games.

How to learn the 2 multiplication table?

If you already understand that multiplying by two is simply adding the changing number twice, i.e. 2 6 is 6 + 6 = 12. In addition, each next answer number will be 2 more than the previous one. It won’t be difficult for your child to learn this table on his own or with a little help from you.

There is also an interesting technique - online games on the Internet, where a child will play and learn the multiplication table overnight.

How to learn the 3 multiplication table?

Perhaps the child will not immediately understand the principle of multiplication; parents should show patience and ingenuity. It won’t hurt you to observe which method is easier for your child to remember the table.

Many people have developed visual memory, while others perceive everything perfectly by ear. Use the learning option that suits your child best.

The image below clearly shows that each next answer is exactly three units more than the previous one. And adding three to 12 for a primary school student is not difficult. Therefore, the table for three is not so difficult to remember.

Multiplication table for children by 3

How to learn the 4 times table?

Sometimes your child is completely uninterested in your explanations. And if you are uselessly beating against the impenetrable wall of their lack of understanding of the multiplication table, trying to teach such a mathematical science, then you can do everything in the form of a game, for example, with a Lego constructor. There are enough details in this constructor to study the table for 4.

An example of multiplication must be shown clearly:

Start adding four parts in order, the required number of times.
Then read the resulting product.
If you cannot explain the basics of multiplication at one time, then repeat the lessons again after a while.

How to learn the 5 multiplication table?

Younger students already know what numbers are. They are divided into even and odd. So, if five is multiplied by an even number, then the product of these two numbers will also be even.

And if you multiply five by odd, you get odd. You also need to take into account that in the multiplication table by 5, the product is always obtained with the last digit in the form of 5, or 0. Children always easily remember the multiplication table by five, thanks to the simplicity of counting the product.

How to learn the 6 times table?

To memorize the table for six, you can use the various techniques described above; the option of copying the table for 6 into a notebook also works well. It is convenient to study the material using cards with pictures and numbers.

How to learn the 7 multiplication table?

It is believed that the multiplication table by seven is quite difficult for younger students. You just need to cram it. But remembering the answer numbers is difficult. Therefore, it is better to study it in the form of fairy tales or poems, games, bright pictures.

And spend more time on this sign (preferably several days). And to consolidate the result, repeat the training again. When you see that the child can easily give answers randomly, then move on to the next table at 8.

How to learn the 8 multiplication table?

Learning the table for eight will not be difficult if you explain to your child that rearranging the numbers does not change the product. After all, your child already knows from previous lessons how much it will be: 6 8 or 3 8. Accordingly, the student will only have to remember how much 8 8 it will be; 8 9 and 8 10. He will do this without difficulty.

How to learn the 9 multiplication table?

Using the above option, you can remember multiplying numbers by nine. There is also a great option - multiplication using your fingers. For this:

It is enough to count all the fingers on both hands and assign a number to each. The number of fingers after this finger will be equal to the second digit (unit) of the product.
The first digit (indicating tens) is equal to the number of fingers before the outgoing finger.

Example:

If you want to multiply 9 by 7, then find the finger number 7 on your hands. Before it, you will have 6 fingers - that’s six tens. After it, 3 is three units. The total is: 63.

How to learn the multiplication table with a first grader in 5 minutes a day in a playful way?

In order not to overburden a first-grader, it is enough to devote only five minutes a day to studying this material. As a rule, moms or dads come up with various options:

learning with color pictures
learning table easily with toys and online games
learning multiplication with the help of poems and interesting stories.

Learning multiplication with picture books

Poems about multiplication

For young readers there is a large number of literature in poetic form. It is with the help of poetry that it will be much easier for a child to learn the multiplication tables of numbers. Clear text and rhyming make these math lessons much easier to remember.

Multiplication. Learn table

Multiplication and division tables: download, print to quickly teach your child?

To successfully study the table, it is not necessary to go to the store, buy books, etc. You can download directly from the portal ready-made table and, if desired, print it out on a printer for the child’s convenience in mastering the material. In addition, different sites offer tests of knowledge of multiplication tables in different forms.

After studying the proposed methods for memorizing the multiplication tables, it will now be easier for you to choose the best one for your child. And it won’t be difficult to explain to your child the tricks and secrets of the multiplication table.

Video: Training game for memorizing multiplication tables

First you need to do two things: print out the multiplication table itself and explain the principle of multiplication.

To work, we will need the Pythagorean table. Previously, it was published on the back of notebooks. It looks like this:

You can also see the multiplication table in this format:

Now, this is not a table. These are just columns of examples in which it is impossible to find logical connections and patterns, so the child has to learn everything by heart. To make his job easier, find or print the actual chart.

2. Explain the working principle

When a child independently finds a pattern (for example, sees symmetry in the multiplication table), he remembers it forever, unlike what he has memorized or what someone else told him. Therefore, try to turn studying the table into an interesting game.

When starting to learn multiplication, children are already familiar with simple mathematical operations: addition and multiplication. You can explain to your child the principle of multiplication by simple example: 2 × 3 is the same as 2 + 2 + 2, that is, 3 times 2.

Explain that multiplication is a short and fast way carry out calculations.

Next you need to understand the structure of the table itself. Show that the numbers in the left column are multiplied by the numbers in top line, and the correct answer is at the place of their intersection. Finding the result is very simple: you just need to run your hand across the table.

3. Teach in small chunks

There is no need to try to learn everything in one sitting. Start with columns 1, 2 and 3. This way you will gradually prepare your child to learn more complex information.

A good technique is to take a blank printed or drawn table and fill it out yourself. At this stage, the child will not remember, but count.

When he has figured it out and mastered the simplest columns well enough, move on to more complex numbers: first, multiplying by 4–7, and then by 8–10.

4. Explain the property of commutativity

The same well-known rule: rearranging the factors does not change the product.

The child will understand that in fact he needs to learn not the whole, but only half of the table, and he already knows some examples. For example, 4×7 is the same as 7×4.

5. Find patterns in the table

As we said earlier, in the multiplication table you can find many patterns that will simplify its memorization. Here are some of them:

When multiplied by 1, any number remains the same.
All examples of 5 end in 5 or 0: if the number is even, we assign 0 to half the number, if it is odd, 5.
All examples of 10 end in 0 and begin with the number we are multiplying by.
Examples with 5 are half as many as examples with 10 (10 × 5 = 50, and 5 × 5 = 25).
To multiply by 4, you can simply double the number twice. For example, to multiply 6 × 4, you need to double 6 twice: 6 + 6 = 12, 12 + 12 = 24.
To remember multiplication by 9, write down a series of answers in a column: 09, 18, 27, 36, 45, 54, 63, 72, 81, 90. You need to remember the first and last number. All the rest can be reproduced according to the rule: the first digit in a two-digit number increases by 1, and the second decreases by 1.

6. Repeat

Practice repetition often. Ask in order first. When you notice that the answers have become confident, start asking randomly. Watch your pace too: give yourself more time to think at first, but gradually increase the pace.

7. Play

Use not only standard methods. Learning should captivate and interest the child. Therefore, use visual aids, play, use different techniques.

Cards

The game is simple: prepare cards with examples of multiplication without answers. Mix them, and the child should pull out one at a time. If he gives the correct answer, we put the card aside, if he gives the wrong answer, we return it to the pile.

The game can be varied. For example, giving answers on time. And count the number of correct answers every day so that the child has a desire to break his yesterday’s record.

You can play not only for a while, but also until the entire stack of examples runs out. Then for every wrong answer you can assign the child a task: recite a poem or tidy things up on the table. When all the cards have been solved, give them a small gift.

From the reverse

The game is similar to the previous one, only instead of cards with examples, you prepare cards with answers. For example, the number 30 is written on the card. The child must name several examples that will result in 30 (for example, 3 × 10 and 6 × 5).

Examples from life

Learning becomes more interesting if you discuss with your child things that he likes. So, you can ask a boy how many wheels four cars need.

You can also use visual aids: counting sticks, pencils, cubes. For example, take two glasses, each containing four pencils. And clearly show that the number of pencils is equal to the number of pencils in one glass multiplied by the number of glasses.

Poetry

Rhyme will help you remember even complex examples that are difficult for a child. Come up with simple poems on your own. Choose the most simple words, because your goal is to simplify the memorization process. For example: “Eight bears were chopping wood. Eight nine is seventy two.”

8. Don't be nervous

Usually, in the process, some parents forget themselves and make the same mistakes. Here is a list of things that you should never do:

Force the child if he doesn't want to. Instead, try to motivate him.
Scold for mistakes and scare with bad grades.
Set your classmates as an example. When you are compared to someone, it is unpleasant. In addition, you need to remember that all children are different, so you need to find the right approach for each.
Learn everything at once. Children are easily frightened and tired large volume material. Learn gradually.
Ignore successes. Praise your child when he completes tasks. At such moments he has a desire to study further.

Every parent at some point has to face one very difficult problem: how to help their child learn the multiplication tables. Today on the Internet there are many in various ways that help children memorize the so-called Pythagorean table: songs, audio programs. However, not every method is truly effective and makes it easy and quick to teach a child the multiplication table. Each student needs his own approach, his own best effective technique. This article will discuss the basic techniques and ways to study the multiplication table, from which you can choose those that are suitable for your child.

It is important! First of all, you should explain to your child the essence of the operation of multiplication. As a rule, children who begin to learn the multiplication table already have an understanding of basic arithmetic operations, such as addition and subtraction. It is this child’s knowledge that will help you explain to him the principle of multiplication: that multiplying 2 by 3 means adding the number 2 3 times, that is, 2+2+2. The child must be well aware of this in order to avoid many difficulties and misunderstandings in learning the multiplication table in the future. In addition, you should explain how the multiplication table itself works, that the number from the left column is multiplied by the number from top line, and at the intersection of the row and column in which these numbers are located, one should look for the answer, that is, their product. For example, five equals forty (5×8=40).

A game

In any even routine process, such as exercises for studying the multiplication tables, there must be an element of play; it is necessary for children! Learning using game techniques will force the child to delve into the task, become truly interested in the subject of multiplication and forget about his reluctance to learn. One of the main ones is: interesting things are remembered better and faster. If you can spark a child's interest in multiplication, you've already done half the job!

One of the popular games for learning multiplication tables is playing cards. You can read more about the game “” in this, and also download and print ready-made cards with examples and answers. The essence of this game multiplication table is that the child randomly draws a card from a pile and sees on each card an example of multiplication without an answer (for example, 7 × 7 =? or 3 × 8 =?). If he gives the correct answer, then the card “goes out of the game”, and if the answer is incorrect, then the card returns to the very bottom of the pile, and can be drawn again. The game continues until all the cards are gone, that is, until the child gives the correct answer to all the examples. When there are few cards left, as a rule, these are difficult examples that the child has already tried to solve, then they are easily remembered, especially when the child becomes excited during the game.

This game is sometimes called a "multiplication table simulator." The entire gameplay can be carried out in stages, depending on the material learned. For example, you can start your impromptu lesson with cards “multiplication tables by 2”, and then dilute them with new learned examples. There are many options for the game, whatever you can do.

In addition, you can introduce an element of play into learning the multiplication tables by using all kinds of programs, online games, special sound posters and much more, which can be easily found on the Internet. But the game "" is the simplest and most effective way to learn the Pythagorean table.

Having studied special techniques for memorizing the multiplication tables, we developed a special game, which we posted below. Children will be able to open cards and memorize examples in a simple playful way.

Where to begin?

If you are just starting to teach your child multiplication skills, we recommend that you try the following techniques (go through the following stages).

Immediately explain to your child the simplest and most trivial examples from the multiplication table, which he can solve without any problems. When looking at a multiplication table, that big 10 by 10 grid with numerous numbers, a child can simply get scared. You should immediately make him feel that not everything is so difficult. And he can already solve part of the table on his own:

A) Multiply by 1 always gives the same number that we multiplied by 1. For example, 1*1=1, 2*1=2, 3*1=3, and even a million times 1 equals a million.

B) Multiply by 10, this is the same as simply adding a zero to a number. What is 2*10? That's right, 2 followed by a zero, that is 20.

Having learned the multiplication table by 1 and 10, the child should understand that he now knows all the outer columns and rows of the multiplication table (they are highlighted in green in the figure).

If all this took a lot of time and the child is tired, then it is better to postpone the study of the remaining Pythagorean table until next time. If not, and the child is full of strength and desire to continue, then we move on.

IN) Multiplication table by 2 It usually comes quite easily to children. Multiplying by 2 is equivalent to simply adding two identical numbers. If you teach your child the multiplication table, then most likely he already knows how to add small numbers and can handle multiplication by two without problems.

G) Changing multipliers. To others important rule multiplication, which is usually understandable to an adult, but not always understandable to a child, is the commutative (or commutative) law of multiplication. Simply put: rearranging the factors does not change the product. In other words, it is easier to learn the multiplication table if you know that 2*3 is the same as 3*2.

The child needs to explain and show why the second row and second column of the Pythagorean table contain the same numbers, exactly like the 3rd row and 3rd column, etc. Therefore, having learned the multiplication of 2 by any number, he will also know the multiplication of other numbers by 2. Therefore, the task becomes 2 times easier.

Thus, by applying the techniques described above, you can help your child easily remember the multiplication table values highlighted in green:

Agree, it already looks good. Let your child know that the multiplication tables are not that big or complicated.

Targeted Memorization

After your child has mastered the most simple values multiplication tables, you can proceed to more complex factors. Here it is important to use game elements and many other useful ones: test tasks, practical application. Many of the examples will need to be memorized, memorized and repeated several times so that your child can then easily recite the values of the multiplication table. It's better to go in order and not try to learn everything at once. It is better to start with squares and multiplication by 3 and 4, gradually moving on to other numbers.

Some teachers think the right way start learning the multiplication table from the end from more complex examples to simpler ones. But it is better not to do this in order to avoid the child’s stress from not understanding how these values were obtained. By multiplying 3 by 3, a child can test himself on his fingers and see why it is 9 in the multiplication table. And if he is immediately asked to multiply 8 by 9 and told that the result just needs to be remembered, he will not be able to apply his knowledge in practice , which will worsen memorization and may negatively affect his motivation.

Squares of numbers. The square of a number is its product with itself. In the Russian multiplication table there are only 10 squares that need to be memorized. The squares up to the example “six by six thirty-six” are usually memorized with a bang, and the next 3 squares usually do not cause any particular difficulties either. And 10 by 10 will be one hundred, which we have already covered earlier in previous lessons.

Multiplication table for 3. It is at this stage that the first difficulties may arise. If it happens that the child cannot remember some meanings, then it’s time to start using cards. And if this doesn’t help, and you know that your child has a more humanitarian mindset, then you can try (more will be written about them) to memorize the multiplication tables.

Multiplication table for 4. You can also use cards and poems here. In addition, let your child understand that multiplying by four is the same as multiplying by 2 and again by 2. You will find these and other simple arithmetic patterns that can be useful for the development of mental counting in this article.

Multiplication table for 5. Multiplying by five is usually easy. Intuitively, it becomes clear to the child that all values of this multiplication are located through 5 from each other and end in either 5 or 0. All even numbers multiplied by 5 always end in zero, and odd numbers end in 5.

Multiplication table for 6, 7, 8 and 9. There is a certain peculiarity of studying complex examples from the multiplication table. If a child has learned squares, as well as the multiplication table up to 5, then in fact he has very little left to learn, since he already knows the rest of the examples. This is clearly visible on this multiplication table, where the cells that the child has already mastered at this moment are highlighted in green.

As a result, the remaining cells of the multiplication table contain only six products, which are the most complex and worth paying close attention to.

6×7=42
6×8=48
6×9=54
7×8=56
7×9=63
8×9=72

To memorize these multiplication table expressions, it is better to use a card game to bring the answers to automaticity. It is most effective to use 12 cards (with multipliers swapped). As practice shows, schoolchildren, and often adults, often have some problems with these six works.

That's all! In just a few lessons, the entire multiplication table can be learned quickly and easily!

Other tricks for learning multiplication tables

Naturally, there is no single correct answer to the question “how to learn the multiplication tables correctly.” In each individual case, for each individual child, even for each individual lesson, it is necessary to select certain most effective ways. Try using several techniques in your teaching arsenal to work with your child, and then you can quickly and easily understand how best to teach him the multiplication table. These are the methods.

Case Study

It will be easier to learn any work from the Pythagorean table if you demonstrate it in practice. For example, you can ask the boys how many wheels are needed for 5 cars (5×4=20). And the multiplication table for girls can have examples in the style of how many elastic bands are needed to braid two pigtails for three dolls (2 × 3 = 6).

Complex Examples

Some examples from the multiplication table may be easier for your child, while others may be more difficult. Try to train him on complex examples so that he concentrates especially on them.

Multiplication table on fingers

Some examples from the multiplication table can be easily calculated using natural human fingers. And this applies not only to the simplest products, but also, for example, to multiplying by 9. To do this, we place our hands, palms down, next to each other, with our fingers straightened. Now, to multiply any number by 9, simply bend your finger under the number of this number (counting from the left). The number of fingers before the curved one will be tens of the answer, and after - units.

Poetry

Another way to memorize multiplication tables is to use poems (rhymes). If your child has difficulty remembering a certain value of the Pythagorean table, then you will probably find this method interesting. It may turn out that it is much easier for a child to memorize poetry than “dry” numbers. Today on the Internet you can find several large (even gigantic) multiplication tables in verse.

It is unlikely that you would think that learning such a poem could be easier than just the multiplication table, but the rhyme can be used in particularly difficult cases. For example, multiplying by 7 and 8 often causes difficulties. And here the poems of Marina Kazarina “About Multiplication” and Alexander Usachev “Multiplication” can come to the rescue. Below are 6 excerpts from a poem by Alexander Usachev about multiplication of the six most difficult examples of the multiplication table.

6x7

Six networks of six ruffs -
This is also thirty-six.
And a roach got caught in the net:
Six seven is forty two.

6x8

Hippos of buns ask for:
Six eight - forty eight...

6x9

We don't mind the buns.
Open your mouth wider:
Six will be nine -
Fifty four.

7x8

Once a deer asked an elk:
- What is seven eight? —
Elk did not bother to look into the textbook:
- Fifty, of course, six!

7x9

Seven nesting dolls
The whole family is inside:
Seven nine crumbs -
Sixty three.

8x9

Eight bears were chopping wood.
Eight nine is seventy two

First you need to do two things: print out the multiplication table itself and explain the principle of multiplication.

To work, we will need the Pythagorean table. Previously, it was published on the back of notebooks. It looks like this:

You can also see the multiplication table in this format:

2. Explain the working principle

When starting to learn multiplication, children are already familiar with simple mathematical operations: addition and multiplication. You can explain to your child the principle of multiplication using a simple example: 2 × 3 is the same as 2 + 2 + 2, that is, 3 times 2.

Explain that multiplication is a short and quick way to do calculations.

Next you need to understand the structure of the table itself. Show that the numbers in the left column are multiplied by the numbers in the top row, and the correct answer is where they intersect. Finding the result is very simple: you just need to run your hand across the table.

3. Teach in small chunks

There is no need to try to learn everything in one sitting. Start with columns 1, 2 and 3. This way you will gradually prepare your child to learn more complex information.

A good technique is to take a blank printed or drawn table and fill it out yourself. At this stage, the child will not remember, but count.

When he has figured it out and mastered the simplest columns well enough, move on to more complex numbers: first, multiplying by 4–7, and then by 8–10.

4. Explain the property of commutativity

The same well-known rule: rearranging the factors does not change the product.

The child will understand that in fact he needs to learn not the whole, but only half of the table, and he already knows some examples. For example, 4×7 is the same as 7×4.

5. Find patterns in the table

As we said earlier, in the multiplication table you can find many patterns that will simplify its memorization. Here are some of them:

When multiplied by 1, any number remains the same.
All examples of 5 end in 5 or 0: if the number is even, we assign 0 to half the number, if it is odd, 5.
All examples of 10 end in 0 and begin with the number we are multiplying by.
Examples with 5 are half as many as examples with 10 (10 × 5 = 50, and 5 × 5 = 25).
To multiply by 4, you can simply double the number twice. For example, to multiply 6 × 4, you need to double 6 twice: 6 + 6 = 12, 12 + 12 = 24.
To remember multiplication by 9, write down a series of answers in a column: 09, 18, 27, 36, 45, 54, 63, 72, 81, 90. You need to remember the first and last number. All the rest can be reproduced according to the rule: the first digit in a two-digit number increases by 1, and the second decreases by 1.

6. Repeat