How to learn the multiplication table 1.2 3.4. Kids games

After the first year of schooling, parents face the problem of how to teach their children the multiplication table. Moreover, to make sure that young students have a desire to remember it, and not because it is necessary. Simple memorization get bored too quickly, and it will be rather difficult to continue this process.

Also, it has already been proven that simply memorizing examples over time leads to the fact that some of them are forgotten too quickly. Let's try to give simple tricks that will help you quickly and easily learn the multiplication table.

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Where to start

Answering the question of how to explain the multiplication table to a child, one correct technique should be noted. It is necessary to clearly explain what the principle of this action is.

By the time it comes time to start studying examples for the multiplication table, children already understand well what addition and subtraction are. That is, the multiplication action is replaced by addition of the same terms.

For example, 3 times 2 means that the number 3 must be added two times - 3 + 3. If 5 times 3, then we add fives three times 5 + 5 + 5.

It would be very nice if during the explanation the examples on the table were fixed with illustrative examples: “Mom bought Vova and Masha 2 boxes of pencils. Each box contains 6 pieces. How many pencils are in two boxes? How can you count? 6 plus 6 is equal to 6 or multiplied by 2. And in the first and in the second case we get 12 ".

Several learning techniques

Learn multiplication table with your child possible with different techniques. We rely on the fact that at this age, most children have a well-developed mechanical memory. Some require visual perception, such as sketches, videos, emotional poetic presentation or game moments. We will provide the essence of several of them.

Pythagoras table

One of the answers to the question of how to help a child learn the multiplication table is Pythagoras table... There are columns and lines with numbers from 0 to 9. If you connect a line and a column in which the factors are written with your finger, we get a number - the result of multiplication.

Despite the fact that at first glance the table seems cumbersome, you should not be intimidated. It is necessary to immediately explain to your child that examples for column multiplication are very easy to memorize. Basic simple rules:

• Diagonally written the simplest and easy products of the same numbers.
• The last line and the extreme column contain multiplication by 10, in which they simply add to the multiplier.
• The first column and first line show the result of multiplying by one, which results in the same thing.
• The child needs explain the basic principle using the Pythagorean table, which is to find the number. The result is located at the intersection of a column and a line with the required factors.

Note a number of advantages of studying the table multiplication in a column by the method of Pythagoras:

• children are happy to form squares from horizontal and vertical lines, looking for the right answer;
• when performing these actions, the logic of mathematical thinking develops;
• contemplation of the table in front of you, and not just recorded examples that do not tell him anything, helps to more significantly understand the material being studied;
• the absence of extraneous signs allows you to more effectively visually remember the numbers written in the table;
• using the method permanently, for example, finding answers to the questions that adults ask him, the child quickly remembers the location of the number and the number itself, while he does not reproduce in the future the results that are not in the table.

Important! In order for the process of studying multiplication to be effective, it is necessary to place the Pythagorean table in a conspicuous place, and regularly work with the baby to find the correct answers.

Studying by cards

An easy way to remember the multiplication table is use of special cards. This process should be planned and the study is carried out gradually. You should start by making double-sided cards. An example of multiplication is written on one side of the card, and the answer to this example is on the other.

To begin with, they study with the baby, for example, the multiplication table by two. After the initial study, the material is consolidated using cards. The child picks up the cards that are laid out on the table examples down, one at a time, reads the example and names the result of the solution.

Then the card is turned over and the correct answer is checked. If the result is correct, then the card is set aside. In the event that a mistake is made, the card is returned to the general pile.

The advantage of the proposed method is game form of study. It is always easier and easier to remember while playing. In addition, children develop visual memory, auditory memory and speech, as it is necessary to read the example aloud. The mathematical terminology is remembered.

The learning process is best structured in this way:

1. First, we study the table for two, and then we fix it with a card.
2. Next, a table of three is studied. Then cards with these examples are added to the pile of previously studied ones. It is necessary to fix already examples for two and three.
3. With an increase in the stock of knowledge, the number of cards increases.

Features of the study

At this stage, we present the features of studying the table for each factor. Each of them has its own flavor, knowing about which, you can help the child. quickly learn the multiplication table and ensure the firmness of its memorization. So, the tricks of the table are as follows.

Multiplication by 10 and by 1

The simplest methods of memorizing the multiplication table are contained in examples by 1 and 10. That is why experts recommend start training with these exercises. The features are as follows:

• when multiplying a number by 1, we get the same number;
• when multiplied by 10, we simply assign zero to the number.

Multiplication by 2

How to correctly and quickly learn the multiplication table by 2? First of all, we will explain to the child that multiplication is easily replaced by addition action... For example, 2 × 2 means that you need to add 2 + 2, and 3 × 2 = 3 + 3. So there is no difficulty in memorizing and you can learn it pretty quickly.

Table for 4

Teachers recommend, after studying examples for 2, go to examples for 4. An easy way to learn the multiplication table - this is explained in detail and in an accessible way to the kid, what multiplying by 4 means multiply by 2 twice. That is, we multiply the number by 2, and then again by 2. For example, 3 × 4 means that 3 × 2 = 6, and then 6 × 2 = 12. This method will help you make calculations faster.

Multiply by 3

Memorizing the multiplication table by 3 causes some difficulties for kids. Therefore, in this case, experts advise apply a poetic form of study. You can compose poems yourself, or you can already take ready-made ones.

The next way is to explain to children with specific everyday examples. For example, the 3 × 4 example is solved using a practical problem. Mom had 4 apples, dad also had 4 and you have 4.

How many apples are there? Moreover, the tasks should be associative so that the child can easily imagine the situation and find the answer.

Multiplication by 5

These examples are always easy for children. The first sign by which it is easy to teach children to multiply by 5 is the fact that each subsequent example differs from the previous one by five. It should be clarified:

• the numbers 2, 4, 6, 8 are even and multiplying them by 5 we get a number that expresses the number of tens, that is, ends in zero;
• digits 1, 3, 5, 7, 9 are odd and their product with 5 gives a number that ends in 5.

Table for 9

A special trick is the table for 9. If you start to study it simply as examples, then the result will not always be successful. And the easiest way to remember it by bending the fingers. Its essence is as follows:

1. Count your child's fingers and assign each their own number according to the score.
2. Further, when multiplying 9 by any number, bend the finger with the corresponding number.
3. We explain to the kid that the bent finger divides the rest of the fingers into two parts: the right and the left. The fingers on the left represent the tens, and the fingers on the right represent the number of ones.

For example, 9x6. We bend 6 according to the number of the finger. To the left of it, 5 fingers remain unbent. Which means 50. On the right - 4 fingers, which means the number of units. Adding the numbers, we get 54. So, 9 × 6 = 54.

Multiply by 6, 7, 8

Starting to study these examples, we clearly explain to the little student that he already knows many examples. For example, if you want to multiply 6 by 4, that's the same as 4 × 6. From this we conclude that there is very little left to remember.

To study the remaining examples, you must apply any of the above methods. The most practical one is Pythagoras table.

There are many ways to help your child learn the multiplication table. It is especially easy to do it in the world of technology. You can offer online games to study this topic. In this case, the baby will spend time with some benefit.

Important! It should be remembered that each child requires an individual approach. And the method that suits one may cause difficulties for others.

How easy it is to learn the multiplication table

Learn the multiplication table in a playful way

Output

The main rule: do not force the child out of the way... It is better to conduct training when the little student is in the right mood and, as it were, playing with him. Learning the table in a playful way will bring much more benefit than memorizing it in one color, regardless of the class in which the multiplication takes place.

Learning fast with the best free game. Check it out for yourself!

Learn multiplication table - game

Try our educational e-game. Using it, you will be able to solve math problems in the classroom at the blackboard without answers tomorrow, without resorting to a sign to multiply the numbers. One has only to start playing, and in 40 minutes you will have an excellent result. And to consolidate the result, train several times, not forgetting to take breaks. Ideally, every day (save the page so you don't lose it). The play shape of the simulator is suitable for both boys and girls.

See the full cheat sheet below.

Multiplication directly on the site (online)

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Multiplication table (numbers from 1 to 20)

×	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
1	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
2	2	4	6	8	10	12	14	16	18	20	22	24	26	28	30	32	34	36	38	40
3	3	6	9	12	15	18	21	24	27	30	33	36	39	42	45	48	51	54	57	60
4	4	8	12	16	20	24	28	32	36	40	44	48	52	56	60	64	68	72	76	80
5	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80	85	90	95	100
6	6	12	18	24	30	36	42	48	54	60	66	72	78	84	90	96	102	108	114	120
7	7	14	21	28	35	42	49	56	63	70	77	84	91	98	105	112	119	126	133	140
8	8	16	24	32	40	48	56	64	72	80	88	96	104	112	120	128	136	144	152	160
9	9	18	27	36	45	54	63	72	81	90	99	108	117	126	135	144	153	162	171	180
10	10	20	30	40	50	60	70	80	90	100	110	120	130	140	150	160	170	180	190	200
11	11	22	33	44	55	66	77	88	99	110	121	132	143	154	165	176	187	198	209	220
12	12	24	36	48	60	72	84	96	108	120	132	144	156	168	180	192	204	216	228	240
13	13	26	39	52	65	78	91	104	117	130	143	156	169	182	195	208	221	234	247	260
14	14	28	42	56	70	84	98	112	126	140	154	168	182	196	210	224	238	252	266	280
15	15	30	45	60	75	90	105	120	135	150	165	180	195	210	225	240	255	270	285	300
16	16	32	48	64	80	96	112	128	144	160	176	192	208	224	240	256	272	288	304	320
17	17	34	51	68	85	102	119	136	153	170	187	204	221	238	255	272	289	306	323	340
18	18	36	54	72	90	108	126	144	162	180	198	216	234	252	270	288	306	324	342	360
19	19	38	57	76	95	114	133	152	171	190	209	228	247	266	285	304	323	342	361	380
20	20	40	60	80	100	120	140	160	180	200	220	240	260	280	300	320	340	360	380	400

How to multiply numbers with a column (video on math)

To practice and learn quickly, you can also try column-multiplying numbers.

Many parents whose children graduated from the first grade ask themselves the question: how can you help your child quickly learn the multiplication table. For the summer, children are asked to learn this table, and the child does not always show a desire to cram in the summer. Moreover, if you just mechanically memorize and not fix the result, then you can later forget some examples.

In this article, read on for ways to quickly learn the multiplication table. Of course, this cannot be done in 5 minutes, but in a few sessions it is quite possible to achieve a good result.

Also read the article,

At the very beginning, you need to explain to the child what multiplication is (if he does not already know). Show the meaning of multiplication with a simple example. For example, 3 * 2 - this means that the number 3 needs to be added 2 times. That is, 3 * 2 = 3 + 3. And 3 * 3 means that the number 3 needs to be added 3 times. That is, 3 * 3 = 3 + 3 + 3. Etc. Understanding the essence of the multiplication table, it will be easier for the child to learn it.

It will be easier for children to perceive the multiplication table not in the form of columns, but in the form of a Pythagorean table. It looks like this:

Explain that the numbers at the intersection of the column and line are the result of multiplication. It is much more interesting for a child to study such a table, because here you can find certain patterns. And when you look closely at this table, you can see that the numbers highlighted in one color are repeated.

From this, the child himself will be able to conclude (and this will already be the development of the brain) that multiplication does not change the product when the multipliers are changed. That is, he will understand that 6 * 4 = 24 and 4 * 6 = 24 and so on. That is, you need to learn not the whole table, but half! Believe me, seeing the whole table for the first time (wow, how much you need to learn!), The child will become sad. But, realizing that half must be taught, he will noticeably cheer up.

Print out the Pythagoras table and hang it in a prominent place. Each time, looking at her, the child will remember and repeat some examples. This point is very important.

You need to start studying the table from simple to complex: first, learn how to multiply by 2, 3, and then by other numbers.

For easy memorization of tables, various tools are used: poems, cards, online simulators, small secrets of multiplication.

Flashcards are one of the best ways to quickly learn the multiplication table.

The multiplication table must be learned gradually: you can take one column per day to memorize. When multiplication by a number is learned, you need to consolidate the result with the help of cards.

You can make the cards yourself, or you can print ready-made ones. You can download the cards from the link below.

Download flashcards for studying the multiplication table.

On one side of the card, the numbers to be multiplied are written, on the other, the answer. All cards are folded with the answer down. The student draws cards from the deck in turn, answering the given example. If the answer is named correct, the card is set aside; if the student is mistaken, the card is returned to the general deck.

Thus, memory is trained, and the multiplication table learns faster. After all, playing is always more interesting to learn. In playing with cards, both visual memory and auditory memory work (you need to sound the equation). And also the student wants to "deal" with all the cards as soon as possible.

When we learned how to multiply by 2 a little, we played cards with multiplication by 2. We learned how to multiply by 3, played cards with multiplication by 2 and 3. And so on.

Multiplication by 1 and 10

These are the easiest examples. Here you don't even need to memorize anything, just understand how numbers are multiplied by 1 and 10. Start studying the table by multiplying by these numbers. Explain to your child that multiplying by 1 is the same number to be multiplied. To multiply by one means to take some number once. There shouldn't be any difficulties here.

Multiply by 10 means that you need to add the number 10 times. And you will always get a number 10 times larger than the multiplied. That is, to get an answer, you just need to add zero to the multiplied number! A child can easily turn units into tens by adding zero. Play flashcards with your student to help them remember all the answers.

Multiplication by 2

A child can learn multiplication by 2 in 5 minutes. After all, at school he had already learned to add units. And multiplication by 2 is nothing more than the addition of two identical numbers. When a child knows that 2 * 2 = 2 + 2, and 5 * 2 = 5 + 5 and so on, then this column will never become a stumbling block for him.

Multiplication by 4

After you have learned multiplication by 2, proceed to multiplication by 4. This column will be easier for the child to remember than multiplication by 3. To easily learn multiplication by 4, write to the child that multiplication by 4 is multiplication by 2, only twice ... That is, first we multiply by two, and then the result obtained by another 2.

For example, 5 * 4 = 5 * 2 * 2 = 5 + 5 (as when multiplying by 2, you need to add the same numbers, we get 10) + 10 = 20.

Multiplication by 3

If you have any difficulties with the study of this column, you can turn to the verses for help. Poems can be taken ready-made, or you can come up with yourself. Associative memory is well developed in children. If a child is shown a visual example of multiplication on any objects from his environment, then he will more easily remember the answer that he will associate with any object.

For example, arrange pencils in 3 piles of 4 (or 5, 6, 7, 8, 9 - depending on which example the child forgets). Think of a problem: you have 4 pencils, dad has 4 pencils and mom has 4 pencils. How many pencils are there? Count the pencils and conclude that 3 * 4 = 12. Sometimes this visualization is very helpful in remembering a "difficult" example.

Multiplication by 5

I remember that this column was the easiest for me to remember. Because each next product increases by 5. If you multiply an even number by 5, the answer will also be an even number ending in 0. Children easily remember this: 5 * 2 = 10, 5 * 4 = 20, 5 * 6 = 30 and etc. If we multiply an odd number, then in the answer we get an odd number ending in 5: 5 * 3 = 15, 5 * 5 = 25, etc.

Multiplication by 9

I write after 5 immediately 9, because in multiplication by 9 there is a little secret that will help you quickly learn this column. You can learn multiplication by 9 with your fingers!

To do this, put your hands, palms up, straighten your fingers. Mentally number the fingers from left to right from 1 to 10. Bend the finger by which number you want to multiply 9. For example, you need 9 * 5. Bend your 5th finger. All fingers on the left (there are 4 of them are dozens), fingers on the right (5 of them) are ones. We combine tens and ones, we get - 45.

One more example. What is 9 * 7? We bend the seventh finger. On the left there are 6 fingers, on the right - 3. We connect, we get - 63!

To better understand this easy way to learn multiplication by 9 - watch the video.

Another interesting fact about multiplying by 9. Look at the picture below. If you write down the multiplication by 9 from 1 to 10 in a column, you will notice that the works will have a certain pattern. The first digits will be from 0 to 9 from top to bottom, the second digits will be from 0 to 9 from bottom to top.

Also, if you look closely at the resulting column, you will notice that the sum of the numbers in the product is 9. For example, 18 is 1 + 8 = 9, 27 is 2 + 7 = 9, 36 is 3 + 6 = 9 and etc.

The second interesting observation is this: the first digit of the answer is always 1 less than the number by which 9 is multiplied. That is, 9 × 5 = 4 5 - 4 is one less than 5; 9 × 9 = 8 1 - 8 is one less than 9. Knowing this, it is easy to remember which digit the answer begins with when multiplying by 9. If the second digit is forgotten, then it can be easily calculated, knowing that the sum of the numbers in the answer is nine.

For example, how much is 9 × 6? We immediately understand that the answer will begin with the number 5 (one less than 6). Second digit: 9-5 = 4 (because the sum of the numbers is 4 + 5 = 9). It turns out 54!

Multiplication by 6,7,8

When you and your child begin to study multiplication by these numbers, he will already know multiplication by 2, 3, 4, 5, 9. From the very beginning you explained to him that 5 × 6 is the same as 6 × 5. This means that he already knows some of the answers, they do not need to be learned first.

The rest of the equations need to be learned. Use the Pythagorean chart and card games for better memorization.

There is one way how to calculate the answer when multiplying by 6, 7, 8 on your fingers. But it is more complicated than multiplying by 9, it will take time to calculate. But, if some example does not want to be memorized, try to count on your fingers with your child, perhaps it will be easier for him to learn these most difficult columns.

To make it easier to remember the most difficult examples from the multiplication table, solve simple problems with the necessary numbers with your child, give an example from life. All children love to go shopping with their parents. Think of a problem for him on this topic. For example, a student cannot remember how much 7 × 8 will be. Then simulate the situation: he has a birthday. He invited 7 friends to visit. Each friend needs to be treated with 8 sweets. How many candies will he buy at the store for friends? He will remember the answer 56 much faster, knowing that this is the number of treats for friends.

Memorizing the multiplication table is possible not only at home. If you are on the street with your child, then you can solve problems based on what you see. For example, 4 dogs ran past you. Ask the child how many paws, ears, and tails do dogs have?

Also, children are very fond of playing on the computer. So let them play with benefit. Turn on the online multiplication table trainer for the student.

Study the multiplication table when your child is in a good mood. If he is tired, began to be capricious, then it is better to leave further training for another time.

Use the methods that work best for your child and you will succeed!

I wish you an easy and quick memorization of the multiplication table!

The first factor ranges from 11 to 20, and the second factor ranges from 1 to 10.

11	12	13	14	15
11 × 1 = 11	12 × 1 = 12	13 × 1 = 13	14 × 1 = 14	15 × 1 = 15
11 × 2 = 22	12 × 2 = 24	13 × 2 = 26	14 × 2 = 28	15 × 2 = 30
11 × 3 = 33	12 × 3 = 36	13 × 3 = 39	14 × 3 = 42	15 × 3 = 45
11 × 4 = 44	12 × 4 = 48	13 × 4 = 52	14 × 4 = 56	15 × 4 = 60
11 × 5 = 55	12 × 5 = 60	13 × 5 = 65	14 × 5 = 70	15 × 5 = 75
11 × 6 = 66	12 × 6 = 72	13 × 6 = 78	14 × 6 = 84	15 × 6 = 90
11 × 7 = 77	12 × 7 = 84	13 × 7 = 91	14 × 7 = 98	15 × 7 = 105
11 × 8 = 88	12 × 8 = 96	13 × 8 = 104	14 × 8 = 112	15 × 8 = 120
11 × 9 = 99	12 × 9 = 108	13 × 9 = 117	14 × 9 = 126	15 × 9 = 135
11 × 10 = 110	12 × 10 = 120	13 × 10 = 130	14 × 10 = 140	15 × 10 = 150
16	17	18	19	20
16 × 1 = 16	17 × 1 = 17	18 × 1 = 18	19 × 1 = 19	20 × 1 = 20
16 × 2 = 32	17 × 2 = 34	18 × 2 = 36	19 × 2 = 38	20 × 2 = 40
16 × 3 = 48	17 × 3 = 51	18 × 3 = 54	19 × 3 = 57	20 × 3 = 60
16 × 4 = 64	17 × 4 = 68	18 × 4 = 72	19 × 4 = 76	20 × 4 = 80
16 × 5 = 80	17 × 5 = 85	18 × 5 = 90	19 × 5 = 95	20 × 5 = 100
16 × 6 = 96	17 × 6 = 102	18 × 6 = 108	19 × 6 = 114	20 × 6 = 120
16 × 7 = 112	17 × 7 = 119	18 × 7 = 126	19 × 7 = 133	20 × 7 = 140
16 × 8 = 128	17 × 8 = 136	18 × 8 = 144	19 × 8 = 152	20 × 8 = 160
16 × 9 = 144	17 × 9 = 153	18 × 9 = 162	19 × 9 = 171	20 × 9 = 180
16 × 10 = 160	17 × 10 = 170	18 × 10 = 180	19 × 10 = 190	20 × 10 = 200

The first image of the multiplication table in the form of a 10x10 square known in the history of mathematics is given in the book "Introduction to Arithmetic" by Nicomachus of Geraz (I-II century). The author noted that such an image of the multiplication table was used by Pythagoras (c. 570-500 BC).

Pythagorean representation of the multiplication table from 1 to 10.

	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100

Pythagorean representation of the multiplication table from 1 to 20.

×	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
1	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
2	2	4	6	8	10	12	14	16	18	20	22	24	26	28	30	32	34	36	38	40
3	3	6	9	12	15	18	21	24	27	30	33	36	39	42	45	48	51	54	57	60
4	4	8	12	16	20	24	28	32	36	40	44	48	52	56	60	64	68	72	76	80
5	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80	85	90	95	100
6	6	12	18	24	30	36	42	48	54	60	66	72	78	84	90	96	102	108	114	120
7	7	14	21	28	35	42	49	56	63	70	77	84	91	98	105	112	119	126	133	140
8	8	16	24	32	40	48	56	64	72	80	88	96	104	112	120	128	136	144	152	160
9	9	18	27	36	45	54	63	72	81	90	99	108	117	126	135	144	153	162	171	180
10	10	20	30	40	50	60	70	80	90	100	110	120	130	140	150	160	170	180	190	200
11	11	22	33	44	55	66	77	88	99	110	121	132	143	154	165	176	187	198	209	220
12	12	24	36	48	60	72	84	96	108	120	132	144	156	168	180	192	204	216	228	240
13	13	26	39	52	65	78	91	104	117	130	143	156	169	182	195	208	221	234	247	260
14	14	28	42	56	70	84	98	112	126	140	154	168	182	196	210	224	238	252	266	280
15	15	30	45	60	75	90	105	120	135	150	165	180	195	210	225	240	255	270	285	300
16	16	32	48	64	80	96	112	128	144	160	176	192	208	224	240	256	272	288	304	320
17	17	34	51	68	85	102	119	136	153	170	187	204	221	238	255	272	289	306	323	340
18	18	36	54	72	90	108	126	144	162	180	198	216	234	252	270	288	306	324	342	360
19	19	38	57	76	95	114	133	152	171	190	209	228	247	266	285	304	323	342	361	380
20	20	40	60	80	100	120	140	160	180	200	220	240	260	280	300	320	340	360	380	400

Multiplication table in a simplified form.
No multipliers 1 and 10.

	2	3	4	5	6	7	8	9
2	4	6	8	10	12	14	16	18
3	6	9	12	15	18	21	24	27
4	8	12	16	20	24	28	32	36
5	10	15	20	25	30	35	40	45
6	12	18	24	30	36	42	48	54
7	14	21	28	35	42	49	56	63
8	16	24	32	40	48	56	64	72
9	18	27	36	45	54	63	72	81

Where and how the multiplication table is studied.

For the first time in the school curriculum, the multiplication table was introduced in England at the end of the Middle Ages. It was the multiplication table to 12, which, by the way, young British people go through to this day. , which is associated, among other things, with the units of the English system of measures of length (1 foot = 12 inches) and money circulation (which existed before 1971: 1 pound sterling = 20 shillings, 1 shilling = 12 pence).

But in India, students are still cramming the original version of the table - up to 20.

In Russia, the multiplication table up to 10 is usually studied at the age of 7-8. But in English schools, the multiplication table must be learned by the age of 11 years.

The multiplication table trains memory.

The multiplication table is a great memory trainer. And it's very good if this training is regular - the results will be better. Learn the table gradually.

You can use verses to make the table easier to remember.

Vladimir Tvorogov (2011). Squares of numbers.

1 × 1 = 1
One on one - his own master.

2 × 2 = 4
Twice two is four, everyone knows this in the whole world.

3 × 3 = 9
Three by three - the phone has nine digits and a lot of ringing.

4 × 4 = 16
Four dogs swam in the river, sixteen footprints in the sand.

5 × 5 = 25
Five five - twenty five, you need to know!

6 × 6 = 36
Six six - the basket is full, and tens - half.

7 × 7 = 49
Seven seven - forty nine, don't forget to check!

8 × 8 = 64
Eight by eight - in the chess world of cells on a field of sixty-four.

9 × 9 = 81
Take one from nine to the right, that's all the fun!

Multiplication table in verse (A. Usachev).

What is Multiplication?
It's a smart addition.
After all, smarter is to multiply once,
Than putting it all together for an hour.

1x1
One penguin was walking among the ice floes.
Once one - one.

1x2
There is safety in numbers.
Once, two, two.

2x2
Two athletes took weights.
This: two times two - four.

2x3
The rooster sat down before dawn
On a high pole:
- Kukareku! .. Twice three,
Twice three - six!
A pair of forks stuck into the cake:
Two by four - eight holes.

2x5
We decided to weigh two elephants:
Twice five - we get ten.
That is, each elephant weighs
Approximately five tons.

2x6
Met crab with cancer:
Twice six - twelve paws.

2x7
Twice seven mice -
Fourteen ears!

2x8
The octopuses went for a swim:
Twice eight legs - sixteen.

2x9
Have you seen such a miracle?
Two humps on the back of a camel.
Nine camels began to be reckoned:
Twice nine humps - eighteen.

2x10
Twice ten - two dozen!
Twenty, to put it briefly.

3x3
Two insects drank coffee
And they broke three cups.
What is broken cannot be glued together ...
three times three - nine comes out.

3x4
All day he repeats in the apartment
Talking Cockatoo:
- Three times four,
Three times four ...
Twelve months a year.

3x5
The schoolboy began to write in a notebook:
How much is "three times five"? ..
He was terribly neat:
Three times five - fifteen spots!

3x6
Foma began to eat pancakes:
Eighteen - three times six.

3x7
Three times seven - twenty one:
There's a hot pancake on my nose.

3x8
The mice gnaw holes in the cheese:
Three times eight is twenty four.

3x9
Three times nine - twenty seven.
Everyone should remember this.

3x10
Three maidens by the window
Dressed up in the evening.
The maidens measured the rings:
Three times ten - it will be thirty.

4x4
Four cute pigs
danced without boots:
Four times four - sixteen bare legs.

4x5
Four learned monkeys
They leafed through books with their feet ...
Each foot has five toes:
Four times five - twenty.

4x6
Went to the parade
Jacket Potatoes:
Four times six - twenty four!

4x7
Chickens are counted in the fall:
Four times seven - twenty eight!

4x9
Baba Yaga's stupa broke:
"Four times eight" - thirty-two teeth! -
She has nothing to eat with bugs:
- Four times nine - thirty six!

4x10
We walked forty forty,
Found a curd cheese.
And the curd is divided into parts:
Four times ten - forty.

5x5
The hares went out for a walk:
Five five is twenty five.

5x6
A fox ran into the forest:
Five six is ​​thirty.

5x7
Five bears from the den
We walked through the forest without a road -
To sip jelly for seven versts:
Five seven - thirty five!

5x8
Climb a centipede
Difficult on a hillock:
Legs are tired -
Five eight is forty.

5x9
Cannons stood on the hillock:
Five eight - forty came out.
The cannons started firing:
Five nine is forty five.

5x9
If you sip cabbage soup with bast shoes:
Five nine - forty five ...
There will be this bast
Everybody drip on trousers!

5x10
We dug a bed of zucchini
Five dozen patches.
And piglets have tails:
Five ten - fifty!

6x6
Six old ladies were spinning wool:
Six six is ​​thirty six.

6x7
Six nets of six ruffs -
This is also thirty-six.
And the roach got caught in the net:
Six seven is forty two.

6x8
Hippos for buns are asking:
Six eight - forty eight ...

6x9
We do not mind the rolls.
Open your mouth wider:
Six nine will be -
Fifty four.

6x10
Six geese lead goslings:
Six ten - sixty.

7x7
Fools do not reap, do not sow,
Themselves are born:
Seven seven - forty nine ...
Let them not be offended!

7x8
Once the deer asked the elk:
- How many will be seven eight? -
The moose did not go into the textbook:
- Fifty, of course, six!

7x9
Seven nesting dolls
The whole family inside:
Seven nine crumbs -
Sixty three.

7x10
There are seven fox cubs in school:
Seven ten - seventy!

8x8
Vacuuming up the nose
Elephant carpets in the apartment:
Eight by eight -
Sixty four.

8x9
Eight bears were chopping wood.
Eight nine - seventy two

8x10
The best score in the world
New Year is coming ...
The toys hang in eight rows:
Eight ten - eighty!

9x9
The piggy pig decided to check:
- How many "nine by nine"?
- Eighty - oink - one! -
So the young pig answered.

9x10
The sandpiper is small, but the nose:
Nine ten - ninety.

10x10
There are a dozen moles in the meadow,
Each one digs ten beds.
And for ten ten - one hundred:
The whole earth is like a sieve!

Multiplication table. Marina Kazarina.

Pupils and female students!
To make it easier for you to count
We are the Pythagorean table
They decided to write in verse.

It is easy to find a solution along it,
Just read the verse
And to remember the calculations,
Everywhere there is a hint!

Well, we will not postpone,
Let's get a notebook and a pencil
And let's get down to business smartly.
So, TWO comes to the start!

2 × 1 = 2
Multiplying two by one,
We get TWO - a bird swan,
Saves every student
From these "birds" your diary.

2 × 2 = 4, 2 × 3 = 6
Known to children all over the world
That twice two equals FOUR.
They should also consider
That twice three gets SIX.

2 × 4 = 8
Two by four - there will be EIGHT.
And we ask all the guys
Forget whims, quarrels, laziness
March 8th is my mother's day!

2 × 5 = 10
We need to multiply two by five,
And if we all take it together,
Yes, let's work hard, guys,
Then we will immediately get into the TOP-10!

2 × 6 = 12
That twice six is ​​TWELVE,
The calendar will tell you, brothers,
And in it they will give you a hint
Twelve months a year!

2 × 7 = 14
Nicely two times seven times
The February holiday will help us
Valentine's Day, I remember -
14th, friends!

2 × 8 = 16
And how much is twice eight,
We'll ask the tenth graders.
They will tell us the answer
After all, they are already SIXTEEN years old!

2 × 9 = 18, 2 × 10 = 20,
You must try to remember
That twice nine is EIGHTEEN.
And it's very easy to guess
That twice ten will be TWENTY!

We tried hard
And we quickly sorted out the deuce.
Now friends hold on tight
TROIKA is already entering the game!

3 × 1 = 3
Multiplying three by one,
We get to the page
From the book of fairy tales for children
About THREE funny pigs!

3 × 2 = 6, 3 × 3 = 9
That three times two equals SIX,
We'll spy on the answer in the cheat sheet!
And three times three, we will decide for ourselves,
Equals SIX FOOT UP.

3 × 4 = 12
Multiplying three by four
I imagine the dial
And I immediately imagine
The clock strikes TWELVE times.

3 × 5 = 15
That three times five is FIFTEEN,
It should be easy to remember.
Imagine first graders at school
They play fun tagging!

3 × 6 = 18
Let's multiply three by six in two
Rather, become an adult hunt!
You know the years go by fast
You look, you are already EIGHTEEN!

3 × 7 = 21
You have to multiply three by seven,
And this is easy for us,
After all, three times seven - the answer is one,
It will turn out to be TWENTY ONE!

3 × 8 = 24
And how much will it be three times eight,
We will cope with the question in a day,
Indeed, in a day, as is known in the world,
Hours in total TWENTY-FOUR!

3 × 9 = 27, 3 × 10 = 30
We'll tell everyone in secret
That three times nine is TWENTY SEVEN.
And it had to happen like this,
That three times ten will be THIRTY!

Well, here's the top three,
Fortunately, we did not have time to get tired.
And there are still a lot of things to do,
The FOUR are waiting for us!

4 × 1 = 4
Multiplying four by one,
We cannot change it,
In product with one
Should be a FOUR!

4 × 2 = 8
Four by two - there will be EIGHT,
We'll throw an eight on our nose,
Suddenly will suit you and me
Eight as a pince-nez?

4 × 3 = 12
How to multiply four by three?
We'll have to go to the winter forest,
TWELVE months will help
Find snowdrops in winter!

4 × 4 = 16
Multiply four by four
This example is easy to solve!
In this work only
SIXTEEN is available!

4 × 5 = 20
Four to five for you
The musketeers will multiply cleverly,
With the enemies of the sword again crossing
In the novel "TWENTY YEARS LATER".

4 × 6 = 24
We will multiply four by six
And what will happen as a result?
The hours go by, the minutes go by ...
TWENTY-FOUR - exactly one day!

4 × 7 = 28
Four by seven - TWENTY EIGHT -
Days are usually in February.
And to check everyone, we ask
Look for the answer in the calendar!

4 × 8 = 32
Multiply four by eight
AND THIRTY TWO - the answer sounds.
A person has exactly so much
In the mouth of the teeth in the prime of life!

4 × 9 = 36, 4 × 10 = 40
Multiply four by nine -
You will receive exactly THIRTY SIX,
Well, and multiply by ten,
Write boldly FORTY here!

The worm is left behind
Another figure appeared ...
And have to remember
We multiply with the number FIVE!

5 × 1 = 5
Multiplying five by one,
We can easily get FIVE!
And our folding table
Let's continue to explore further.

5 × 2 = 10
And five by two, I want to note
It's easy to multiply - there will be TEN!
The answer is always in your hands:
He is in mittens and socks!

5 × 3 = 15
Let's multiply five by three together,
We need a little time.
FIFTEEN received at once -
We did it in a quarter of an hour!

5 × 4 = 20
How five times four
They will give the answer on TV!
See you on the screen
TWENTY clips of MuzTV!

5 × 5 = 25
And five to five is the well-known answer,
It is sung about him in a children's song,
And every student should know
What we get here TWENTY FIVE!

5 × 6 = 30, 5 × 7 = 35
We multiply five by six,
As a result, we get THIRTY.
And five seven - easy to count -
The answer is short: THIRTY FIVE!

5 × 8 = 40
And how many will be five eight,
Let's ask Ali Baba from a fairy tale.
When I got to the robbers,
He counted them all FORTY!

5 × 9 = 45, 5 × 10 = 50
Friends, I want to tell you
That five nine is forty five,
And each of the guys knows
That five to ten is FIFTY!

We calculated the five at once
And they were not tired at all.
Let's decide further! The strength is there!
Now let's tackle the number SIX!

6 × 1 = 6
Six on one - SIX came out,
And you can hear the guitar outside the window!
And songs are pouring on the moonlit night
Under the overflow of a six-string.

6 × 2 = 12
We multiply six by two -
TWELVE exactly we get.
At twelve nights every year
New Year is coming to our house!

6 × 3 = 18
Six by three is only EIGHTEEN!
In such years, brothers, you can
Get married, get married,
Drive the car yourself!

6 × 4 = 24
A simple six-four example
We were like him!
You need to think about it for half a minute ...
TWENTY-FOUR - a day again!

6 × 5 = 30
And six five - we get THIRTY,
This is where the dial comes in handy:
Big hand on the clock
Shows exactly half an hour!

6 × 6 = 36
Ah, right, six times six times
The song will help us again
There is a solution in her words:
Six by six would be THIRTY SIX.

6 × 7 = 42
"Six by seven" we teach multiplication,
We get a hint in the shoe,
After all, many men wear
FORTY-SECOND boot size!

6 × 8 = 48
That six eight is forty eight,
A boa constrictor explained to a monkey,
But he is only thirty-eight long
He was "in parrots" was!

6 × 9 = 54, 6 × 10 = 60
And six to nine - we decided.
We get FIFTY FOUR!
And everyone is happy to answer us,
That six ten is SIXTY!

Friends, great job!
We coped with the six in no time!
And then we offer everyone
Solve examples with the number SEVEN!

7 × 1 = 7
"One family" - find the answer
A seven-flowered flower will help!
After all, people like him have flowers
SEVEN multi-colored petals!

7 × 2 = 14
We will simply multiply seven by two,
FOURTEEN is a good age,
After all, at this beautiful age
The guys are getting a passport!

7 × 3 = 21, 7 × 4 = 28
That seven three is TWENTY ONE,
An important gentleman told us,
Let's ask him:
"Seven four?" TWENTY EIGHT!

7 × 5 = 35
Let's multiply seven by five! Ready!
The familiar answer is THIRTY FIVE!
Let's ask thirty-three cows
Hum it louder!

7 × 6 = 42
Valery Syutkin sang for everyone,
That six seven is a simple answer
Spends FORTY-TWO minutes
He is underground every day!

7 × 7 = 49
Want to multiply seven by seven?
We can give everyone a hint:
Look, FORTY NINE you can
Meet only once in the table!

7 × 8 = 56
And multiplying seven by eight,
FIFTY SIX we will give the answer!
Carries people around the city
Bus with a number like this!

7 × 9 = 63, 7 × 10 = 70
Seven times nine
The result is SIXTY-THREE.
And with "seven ten" everything is fine,
There are exactly SEVENTY, look!

So, with the seven we are counting,
And the number EIGHT is on its way!
So as not to waste time
Let's start multiplying, brothers!

8 × 1 = 8
Eight will multiply by one
Underwater inhabitant octopus,
He cannot walk on land,
Even though it has EIGHT legs!

8 × 1 = 16, 8 × 3 = 24
And eight by two - you know, brothers,
The right decision - SIXTEEN!
And eight by three - have you forgotten?
The answer is "in hours" - TWENTY FOUR!

8 × 4 = 32
Multiply eight by four
There are only THIRTY TWO here, friends,
Although they said in Lukomorye
About thirty-three heroes!

8 × 5 = 40
Let's multiply eight by five -
There is FORTY, no options!
And here's a hint-saying:
"For forty troubles - one answer!"

8 × 6 = 48, 8 × 7 = 56
Let's multiply eight by six -
Comes out FORTY EIGHT here!
Well, multiplying by seven, we can
We get - FIFTY SIX!

8 × 8 = 64
At eight eight they learned
We multiply without mistakes,
And exactly SIXTY FOUR
Should indicate in the answer!

8 × 9 = 72, 8 × 10 = 80
We multiply by nine eight.
Here's the result: SEVENTY TWO!
At ten eight - we answer:
There are EIGHTY, gentlemen!

9 × 1 = 9
Multiply nine by one
Leafing through the history of the country,
Let every citizen remember
About a glorious day - NINTH May!

9 × 2 = 18
It's easy to multiply nine by two
And so as not to forget the answer,
Remember: your "civil" age
Will start at Eighteen years old!

9 × 3 = 27, 9 × 4 = 36
"Nine by three", counting out loud,
Here TWENTY SEVEN - there is a solution!
And multiply by four -
We get exactly THIRTY SIX!

9 × 5 = 45
It's not hard to learn at all
Multiply nine by five!
It should eventually turn out
The piece FORTY-FIVE!

9 × 6 = 54
And to multiply nine by six,
We don't have to do anything!
You and I went through this,
The answer is FIFTY FOUR!

9 × 7 = 63
And here is the clever Malvina
Buratino teaches diligently,
And he says to him: “Look,
Nine seven - SIXTY THREE "!

9 × 8 = 72
Nine eight is the task
Come on, work, head!
But luck didn't let us down,
We give the answer - SEVENTY TWO!

9 × 9 = 81
We multiply by nine nine
We check the answer in the table,
And it seems to be equal
He is EIGHTY ONE!

9 × 10 = 90
The last example remains,
And he immediately succumbs to us!
Nine ten is easy!
The answer is exactly NINE!

Multiplication table. Vladimir Dal. Soldier's leisure time. (1861).

Multiplication by 2
Volga Don is wider:
Two by two is four.
Uncle has no books, but he has maps:
Twice three six.
We reap the bread and mow the hay:
Twice four eight.
Without sourdough, bread is not kneaded:
Twice five ten.
On the hands, on the legs twenty fingers:
Twice six twelve.
Remove five fingers - fifteen:
Twice seven fourteen.
Twice nine eighteen,
Twice ten twenty.

Multiplication by 3
Whoever has an arshin, so measure:
Three times three nine.
Listen with your ear: eight minutes to twenty:
Three times four twelve.
Three times five fifteen,
Three times six eighteen.
Flour and butter, here's a pancake:
Three times seven twenty one.
There are few wonders in God's world:
Three times eight twenty four.
Light during the day and dark at night:
Three times nine twenty seven.

Multiplication by 4
Four times four sixteen
Four times five twenty.
On the bridge - in Tatar - on the cupir:
Four times six twenty four.
It's nice to have a bite, so you are welcome:
Four times seven twenty eight.
Whoever is ataman has a mace:
Four times eight - thirty two.
Great honor, but there is nothing to eat:
Four times nine thirty six.
And the mole is vigilant in its corner:
Four times ten forty.

Multiplication by 5
Throw a pointer, let's go for a walk:
Five five, twenty five.
If not, there is nothing to take:
Five seven is thirty five.
And the spool is small, but expensive:
Five eight forty.
Take the shaft, let's go to fight:
Five nine forty five.
The sides lay, from which they hurt:
Five ten fifty.

Multiplication by 6
Master Samsonich bast shoes:
Six six thirty six.
What we deserve is what we wear:
Six eight forty eight.
Who heard the tale about Tsar Cyrus?
Six nine fifty four.
Climb the wall if they tell you:
Six ten sixty.

Multiplication by 7
Fools breed, you don't need to sow them:
Seven seven forty nine.
Ino to lie down, ino to sit down:
Seven eight fifty six.
What you don’t know, don’t lie:
Seven nine sixty three.
A row of bags hang on the wall:
Seven ten seventy.

Multiplication by 8
Do not squabble with the owner in the apartment:
Eight eight sixty four.
Live, a generation on the shoulders of the head:
Eight nine seventy two.

Multiplication by 9
To his own affairs, everyone is the master himself:
Nine nine eighty one.
What's clever is simple:
Nine ten ninety.
Hammer fully, leave the chisel:
Ten ten one hundred.



Nowadays, many parents believe that a child, even before entering the first grade, must learn not only to write and count, but also to know the basic techniques of algebra: addition, subtraction, multiplication and division. That is why moms and dads face a serious question: “how to teach a child to learn the multiplication table”?

Basic rules for optimal results

Of course, you can teach a child using the basic methods (they are described below). However, parents who are tuned in to how easy it is for a child to learn the multiplication table should not only learn special techniques (with which you can teach a child the multiplication table much easier and faster), but also choose the most optimal method for their baby.

Regardless of which method you choose, you must carefully observe the following rules:

1. To make learning easy for a child, frequent breaks are necessary;
2. An objective assessment of the baby's abilities is necessary: ​​a preschooler simply cannot physically learn the entire multiplication table in three hours;
3. Be sure to praise your child for every, albeit small, success;
4. It is strictly forbidden to scold a child if he cannot learn something. It is best in this case to take a short break and then return to the stumbling block again;
5. Try to turn the study of the multiplication table into a game: if the child is interested and fun, then all knowledge will be assimilated much faster than if the parents force the fidget to sit at boring books.

A basic way to learn multiplication tables

A parent who is seriously thinking about how to learn the multiplication table with a child can, in a fit of inspiration, recall his own childhood: counting sticks, a blackboard, a strict teacher and a huge table completely filled with numbers. It is this table that is most often used in schools, therefore it is recommended to conduct at least the first lesson with it.

To begin with, you should print (or draw) two versions of tables: the first is completely filled, and the second is only with numbers around the edges. It is advisable that the second table is large, since the child will enter the numbers on his own.

In the first lesson, try to explain to the child the main meaning of multiplication: it is the same addition, only multiple times. Take small numbers as an example to show how multiplication works. An example version might look like this:

“These are the numbers two and three. In order to multiply three by two, we need to add three and three. How much will it turn out? That's right, six! "

What should you do after the first “test” session with the table?

If everything went well, try working with the table again: explain to your child the peculiar “mirror image” of multiplication:
“Now let's see how much is two times three. In order to calculate this, we need to add a two to a two, and then add a two again. Let's put them down in a column. How much will it turn out? Good girl, six! See, three times two is six, and two times three is six. Here you have learned the first rule of multiplication: changing the factors (these are the numbers that you multiplied) the product (this is the number you received in the answer) will not change! ”
Be sure to praise your child.
“You see how quickly you counted! Learning the multiplication table is easier than it seems at first glance! ”

Be patient.

If a child cannot quickly perform an addition operation, there is no need to prompt him: he will certainly count himself, he just needs more time than an adult.

If it took a little time to explain this rule, then you can start filling out the part of the multiplication table with the number 1 (usually children quickly understand the meaning of multiplication by 1). As soon as the child's attention begins to dissipate, the lesson should be stopped - the preschooler will not learn more material.

When clicked, you will have a large printable table

Follow-up classes

Make a large number of cards with examples from the multiplication table. Before each lesson, be sure to let the kid solve familiar examples, otherwise the knowledge will simply be forgotten.
A little tweak will make it easier to remember the results.
After the baby learns multiplication involving one, you can try multiplying a number by ten, or tens by a number. Teaching a child to assign an extra zero to each number will be much easier than, say, teaching him to multiply numbers by six.

Multiplication by two, three and four. Usually, these actions are not difficult, since they can be easily counted on the fingers.

How to teach a child to multiply by five? It's very simple: any even number will end with 0, and an odd number will end with 5. It is a matter of technology to count them.

Here is practically learned the whole multiplication table. But how to learn quickly and easily multiplying by the most difficult numbers: six, seven and eight?

Most likely, they will simply have to be memorized: even adults are often confused in multiplying these numbers.

Is there an alternative to a table?

If during the first lessons you see that it is clearly difficult for a child to remember even the simplest examples, in no case do not swear at him, but start trying alternative methods.

The technique of studying the multiplication table with the help of poetry seems interesting: now there are whole books that allow you not only to easily pull up the "falling" numbers, but also to learn the multiplication table from scratch. Fairy tales about numbers are also interesting: they can tell, in a comic form, about one of the most difficult to understand actions of mathematics: multiplication.

However, learning with just poems or fairy tales can be infinitely long without the use of additional techniques such as flashcards with examples. Remember that the child's brain needs relentless repetition - only then the information will be not only mechanically learned, but also realized. And this is a guarantee that the baby will not forget the multiplication table until old age.

How to understand in advance whether it is easier to learn the multiplication table by a simple table or by adding verse games with a child? Remember the character of the kid: if he is a pronounced humanist, then the games will definitely suit his taste, thereby making the learning process more fun.

Toys will always help

If you have absolutely no idea how you can quickly help your child learn this complex multiplication table, then use a win-win option: your baby's favorite toys.

The only criterion for toys is that any outsider should easily understand that they illustrate multiplication. For example, when multiplying three wheels from a car by two, you should get exactly six wheels, and not four wheels, a bumper and a headlight (in this case, it will be extremely difficult to teach a child!). Also, if you have chosen to learn with toys, then you should not try to teach your child to count on your fingers instead - these are two completely different methods!

One of the most interesting ideas was the idea of ​​one father to use a huge amount of LEGO parts, which were scattered throughout the apartment in huge quantities. Taking the smallest detail as one, the father began to show his son the basics of multiplication by two, three and four (after all, there was a lot of LEGO, so they did not experience a shortage of pieces). As a result, all the lessons were in the form of a game, and the father could not even think that teaching his son how to multiply would be so easy and quick!

Many parents have helped use interactive sound posters in teaching. In this case, memorization is better than in the course of a regular lesson or memorization.

Fingers and multiplication

Oddly enough, but you can quickly learn the multiplication table, even on your own fingers!

Many parents disapprove of the habit of children to check all the results of calculations on their fingers, arguing that it is easy to count only small numbers on the fingers.

In fact, this is not entirely true: you can easily learn the multiplication table (and, quite quickly!), Using only your own fingers and knowledge of interesting mathematical laws (however, this will not save the kid from solving examples to repeat the material).

Multiplication by NINE with your fingers - the result is instant

Of course, everything is clear with the simplest examples: ten fingers are enough for a calculation. But what about multiplying by nine?

In fact, you can: for example, multiplication by nine is insanely fast: in just one action. We need to count (starting with the left thumb) up to the number we are multiplying by nine (or by which we are multiplying nine). The numbers to the left of it will give tens, and the numbers to the right will give ones. This is a truly fantastic way. It makes multiplication by nine much easier.

Of course, it is extremely difficult to learn the table in this way without repetition, so choosing this approach requires a large number of practical tasks.

Change is needed

Regardless of the age of the baby, he needs a large number of breaks (preferably every 10-15 minutes), otherwise it will not be easy to learn the basic laws of multiplication: after 10 minutes of continuous training, the child will now and then be distracted by the cat, the ray of the sun that has looked through the window, ringing in the street and so on.

How to maximize the level of training efficiency? First, it is worth drawing a table with a clear lesson plan (there should be small breaks in it) and follow it all the time.

Secondly, you need to show imagination: you can learn the material in a playful way. For example, you can create your own card game.

Example of a game: cards are created (their number may vary, repetitions and bonus cards are possible). The main thing is that the child knows all the examples on the cards participating in the game. The basic rule of the game is that the player, without looking, draws a card and in a certain time decides an example. The winner is the one with the most points. Bonus cards can add an amount of time, give a choice of examples, and so on.

Third, do not hesitate to divide into parts: learning one large table is more difficult than many small tablets.

In addition

• It would be a good idea to hang a table above the baby's bed, as well as in his playroom: even without studying, he will automatically glance over it, thereby gradually memorizing the numbers;
• Train all the child's skills often: instead of multiplying seven by eight, ask the child to name the numbers that, when multiplied by each other, will give 56;
• If your toddler is already attending school, ask the teacher about her teaching methods. It may be worth using a similar method to learn the material faster;
• Be patient: it is easier for a baby to learn the material when it is not limited in time, at least at first.