Multiplication table from 1 to 10. Children's games

With the best free game Learn very quickly. Check it yourself!

Teach multiplication table - game

Try our learning electronic game. Using it, you can already solve tomorrow math problems In the class at the board without answers, without resorting to the plate to multiply the numbers. It is only worth starting to play, and after 40 minutes it will be excellent result. And to secure the result, work out several times, not forgetting about the interruptions. Ideally - every day (save the page not to lose). The gaming form of the simulator is suitable for both boys and girls.

See below the crib in full form.

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 the number of columns (video in mathematics)

To practice and quickly learn, you can also try to multiply the number of the column.

Multiplication table Or Pythagora Table is a well-known mathematical structure that helps students learn multiplication, and simply solve specific examples.

Below you can see it in classic form. Pay attention to the numbers from 1 to 20, which are entitled to the lines on the left and columns on top. These are multipliers.

How to use the Pythagore table?

1. So, in the first column we find the number you need to multiply. Then in the upper line we are looking for a number to which we will multiply the first. Now we look where the line and column you need intersect. The number on this intersection is the product of multipliers. In other words, this is the result of their multiplication.

As you can see, everything is quite simple. You can see this table On our site at any time, as well as if necessary, you can save it to your computer as a picture in order to have access to it without connecting to the Internet.

2. And pay attention again, there is the same table below, but already in a more familiar form - in the form mathematical examples. Many such form seems easier and more comfortable for use. It is also available for download to any media in the form of a convenient picture.

Finally, you can use our calculator, which is present on this page, at the bottom. Just enter B. empty cells The numbers you need for multiplication, click the Calculate button, and immediately the result in the window will appear a new number, which will be their work.

We hope this section will be useful to you, and our table Pythagora In one or another, her form will no longer help you in solving examples with multiplication and simply to memorize this topic.

Table Pythagora 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 standard form from 1 to 10

1 x 1 \u003d 1 1 x 2 \u003d 2 1 x 3 \u003d 3 1 x 4 \u003d 4 1 x 5 \u003d 5 1 x 6 \u003d 6 1 x 7 \u003d 7 1 x 8 \u003d 8 1 x 9 \u003d 9 1 x 10 \u003d 10	2 x 1 \u003d 2 2 x 2 \u003d 4 2 x 3 \u003d 6 2 x 4 \u003d 8 2 x 5 \u003d 10 2 x 6 \u003d 12 2 x 7 \u003d 14 2 x 8 \u003d 16 2 x 9 \u003d 18 2 x 10 \u003d 20	3 x 1 \u003d 3 3 x 2 \u003d 6 3 x 3 \u003d 9 3 x 4 \u003d 12 3 x 5 \u003d 15 3 x 6 \u003d 18 3 x 7 \u003d 21 3 x 8 \u003d 24 3 x 9 \u003d 27 3 x 10 \u003d 30	4 x 1 \u003d 4 4 x 2 \u003d 8 4 x 3 \u003d 12 4 x 4 \u003d 16 4 x 5 \u003d 20 4 x 6 \u003d 24 4 x 7 \u003d 28 4 x 8 \u003d 32 4 x 9 \u003d 36 4 x 10 \u003d 40	5 x 1 \u003d 5 5 x 2 \u003d 10 5 x 3 \u003d 15 5 x 4 \u003d 20 5 x 5 \u003d 25 5 x 6 \u003d 30 5 x 7 \u003d 35 5 x 8 \u003d 40 5 x 9 \u003d 45 5 x 10 \u003d 50
6 x 1 \u003d 6 6 x 2 \u003d 12 6 x 3 \u003d 18 6 x 4 \u003d 24 6 x 5 \u003d 30 6 x 6 \u003d 36 6 x 7 \u003d 42 6 x 8 \u003d 48 6 x 9 \u003d 54 6 x 10 \u003d 60	7 x 1 \u003d 7 7 x 2 \u003d 14 7 x 3 \u003d 21 7 x 4 \u003d 28 7 x 5 \u003d 35 7 x 6 \u003d 42 7 x 7 \u003d 49 7 x 8 \u003d 56 7 x 9 \u003d 63 7 x 10 \u003d 70	8 x 1 \u003d 8 8 x 2 \u003d 16 8 x 3 \u003d 24 8 x 4 \u003d 32 8 x 5 \u003d 40 8 x 6 \u003d 48 8 x 7 \u003d 56 8 x 8 \u003d 64 8 x 9 \u003d 72 8 x 10 \u003d 80	9 x 1 \u003d 9 9 x 2 \u003d 18 9 x 3 \u003d 27 9 x 4 \u003d 36 9 x 5 \u003d 45 9 x 6 \u003d 54 9 x 7 \u003d 63 9 x 8 \u003d 72 9 x 9 \u003d 81 9 x 10 \u003d 90	10 x 1 \u003d 10 10 x 2 \u003d 20 10 x 3 \u003d 30 10 x 4 \u003d 40 10 x 5 \u003d 50 10 x 6 \u003d 60 10 x 7 \u003d 70 10 x 8 \u003d 80 10 x 9 \u003d 90 10 x 10 \u003d 100

Multiplication table in standard form from 10 to 20

11 x 1 \u003d 11 11 x 2 \u003d 22 11 x 3 \u003d 33 11 x 4 \u003d 44 11 x 5 \u003d 55 11 x 6 \u003d 66 11 x 7 \u003d 77 11 x 8 \u003d 88 11 x 9 \u003d 99 11 x 10 \u003d 110	12 x 1 \u003d 12 12 x 2 \u003d 24 12 x 3 \u003d 36 12 x 4 \u003d 48 12 x 5 \u003d 60 12 x 6 \u003d 72 12 x 7 \u003d 84 12 x 8 \u003d 96 12 x 9 \u003d 108 12 x 10 \u003d 120	13 x 1 \u003d 13 13 x 2 \u003d 26 13 x 3 \u003d 39 13 x 4 \u003d 52 13 x 5 \u003d 65 13 x 6 \u003d 78 13 x 7 \u003d 91 13 x 8 \u003d 104 13 x 9 \u003d 117 13 x 10 \u003d 130	14 x 1 \u003d 14 14 x 2 \u003d 28 14 x 3 \u003d 42 14 x 4 \u003d 56 14 x 5 \u003d 70 14 x 6 \u003d 84 14 x 7 \u003d 98 14 x 8 \u003d 112 14 x 9 \u003d 126 14 x 10 \u003d 140	15 x 1 \u003d 15 15 x 2 \u003d 30 15 x 3 \u003d 45 15 x 4 \u003d 60 15 x 5 \u003d 70 15 x 6 \u003d 90 15 x 7 \u003d 105 15 x 8 \u003d 120 15 x 9 \u003d 135 15 x 10 \u003d 150
16 x 1 \u003d 16 16 x 2 \u003d 32 16 x 3 \u003d 48 16 x 4 \u003d 64 16 x 5 \u003d 80 16 x 6 \u003d 96 16 x 7 \u003d 112 16 x 8 \u003d 128 16 x 9 \u003d 144 16 x 10 \u003d 160	17 x 1 \u003d 17 17 x 2 \u003d 34 17 x 3 \u003d 51 17 x 4 \u003d 68 17 x 5 \u003d 85 17 x 6 \u003d 102 17 x 7 \u003d 119 17 x 8 \u003d 136 17 x 9 \u003d 153 17 x 10 \u003d 170	18 x 1 \u003d 18 18 x 2 \u003d 36 18 x 3 \u003d 54 18 x 4 \u003d 72 18 x 5 \u003d 90 18 x 6 \u003d 108 18 x 7 \u003d 126 18 x 8 \u003d 144 18 x 9 \u003d 162 18 x 10 \u003d 180	19 x 1 \u003d 19 19 x 2 \u003d 38 19 x 3 \u003d 57 19 x 4 \u003d 76 19 x 5 \u003d 95 19 x 6 \u003d 114 19 x 7 \u003d 133 19 x 8 \u003d 152 19 x 9 \u003d 171 19 x 10 \u003d 190	20 x 1 \u003d 20 20 x 2 \u003d 40 20 x 3 \u003d 60 20 x 4 \u003d 80 20 x 5 \u003d 100 20 x 6 \u003d 120 20 x 7 \u003d 140 20 x 8 \u003d 160 20 x 9 \u003d 180 20 x 10 \u003d 200

How easy it is easy to learn a child's multiplication table - a parent is asked as a question, realizing that the shank of the numbers does not lead to an understanding of the process. Although for children with good memory it will be the most easy way. Today we will talk about interesting games (not computer), which will be given the opportunity to realize the essence of mathematical actions and consolidate their knowledge.

Greetings, dear readers. I assure that in the article you will find interesting games, for the preparation of which I left 2 to 5 minutes. If you set out to explain the meaning of this mathematical process, you are comfortable and read carefully. As always, I advise you to select tasks in terms of knowledge.

The first thing I want to do, introducing a new material, explain who the founder of the method. Unfortunately to the question who came up with a multiplication table in mathematics, not so simple. We are accustomed to believe that its founder is the ancient Greek creator of the philosophical school - Pythagore. For many, his name is a synonym for a discussed method of computing, but it turns out that it is called only in Russian, French, Italian.

No evidence that this mathematician was her progenitor - no! But the reverse information is abound. It turns out the oldest table was found in ancient Mesopotamia, its age is over 4,000 years. While Pythagoras lived 570-490. BC. There are also facts of similar computing in ancient China. I really liked the explanation of Professor Kruglov, which he gave the student of the 3rd grade:

I write all this so that you do not confuse your children. After all, many parents who are holy believe in our educational system will not even think to look into the search for information, and they will prove with foam to prove to siblos that the table is created by Pythagore.

If you want to tell about this scientist with your kids, then you should use the information from Wikipedia, where its scientific achievements are described in detail. But all this will be interesting to older schoolchildren. And at what age are the subject of our discussion begin to teach?

In the Soviet Union, I hope this time I remember not alone, asked this program for the summer after the 1st grade. At present, in most schools, the multiplication table is taught in the second half of the second class. My son is studying in a French lyceum in the Dominican Republic, it is in grade 2. About why a six-year-old child is studying in the 2nd class, I wrote.

I'll tell you how they started entering this "science." Practically since the beginning of the school year, the children began to undergo the composition of the number by addition of two identical numbers.

In other words, the task on the house may be as follows:

Write from any equal numbers consist of numbers 26, 32, 48, 65.

Yes, it will definitely be with a trick. The child performs writes, for example:
26=13+13
65 - the addition of two equal numbers is impossible (on this stage This is the right answer).

As a result, for a month and a half children easily learned the multiplication and division into 2 within 100, not even realizing it. As the program will develop further until I know, but I liked the beginning.

At 3.5 years, my son laid the cards, say fours, this way:

It was his little victory! As can be seen, the account is behaved quite clearly, the child visually can appreciate the correctness of its mathematical work. After a year, such classes looked differently. I stirred all the cards:

And knowing that my boy is a competitive character, I suggested to collect the "account line" for speed. For example, he collects the line the same four, and I seven. Of course, each time the numbers changed to all up to 10. I had to make copies of a few cards to grab two line.

So, the expense of four in a year, looked like this:

Well, we figured out in what class teach multiplication table and how to prepare a child to study. And how else to help learn the subject without cramp, what additional materials will help in this?

Useful materials to explore

If Chad is craving for musical training, then such a song will help to learn an account on 3. My son loves a cartoon about these birds and singing, he also loves, so after two views, the troika was learned.

Through the book, you can also help the child to learn the table. I will show you two wonderful instances.

The first "entertaining table" from Robins publishing house. Highly recommend! First, the actions presented here are not given to 10, and up to 12. Secondly, the fabulous windows have not yet left a single child indifferent. Thirdly, it is not naked numbers, but the ability to easily check yourself on fun pictures. And at the end there is an opportunity to really undergo checking your knowledge.

How easy to learn the multiplication table to the child? In merry verses! And in this we will help the second instance. It's really wonderful bookWith which Alexander did not part week! Andrei Usachev applies humor, was able to reproduce arithmetic actions, tied them to the most unexpected characters. AST Publisher, as always, pleased with excellent quality and this small book began to the shelves of our baby library. The only thing I want to warn, multiplication on 2 begins with twos, 3 from the top three, on four from the fours and so on. But "Movement Law" is included here.

And the last, but no less useful material on the author's method of Shamil Akhmadullina "How to learn the multiplication table for 3 days in a game form?" The essence here is on the understanding of the principles, and this is so important!

And finally, we approached with you to entertainment.

How easy to learn the multiplication table through the game

Everywhere it is said and written about the positive impact of classes in a game form, our I described not so long ago. This time I had to master new ones - to multiply. I compiled them and spent on the increasing, watched the capabilities of the son and moved on.

Where to begin

You need to start with a visual explanation. This can be done with the help of buttons, sticks, countable bears. The child should see the ranks of the items that need to be counted. I gave my favorite seashells to my son, I disassemble 5 × 2 in the photo, that is, 2 rows of 5 shells. If you specify several examples with different numbers, you see that the essence is understood, proceed to play actions, do not tighten this process.

It is still worth explaining that from the permutation of numbers, the answer will not change. The second-grader is already familiar with the "Movement Act of Addition". In practice, let him see what it applies to this mathematical process. Ask to lay out the action "On the contrary", in our case 2 × 5 - two shells in a row, and five rows.

If the rule was not well learned in school, or you are engaged with a preschooler, I advise you to watch a video from the Shishkina school:

First game

We need:

• Paper;
• ruler and pencil;
• cubes dawns;
• feltolsters.

Fill the sheet of paper on the section. In each section there will be a place for one example.

The player throws cubes and looks:

• One cube shows the number of circles to draw;
• the second number of crosses placed in these circles.

It is interesting to play in groups among 2-4 players, so there will be a spirit of competitiveness. You should throw cubes alternately, and write the results for each on the sheet. Wins one who has more correct answers.

We both played together. At the end we exchanged sheets, I offered him to check my answers, and I checked it myself. But not in memory, but by recounting the number of crosses in each. Thus, Alexander could easily see from what the numbers were. This is a similarity of recalculation of seashells, where in case of doubt, you can recalculate crosses during execution.

Photo increases when clicking

Second game

Almost all children love LEGO, is there a mathematical game with him on the development of creative thinking and attentiveness? Yes! If you wondered how easy it is easy to learn a multiplication table that loves Lego, then the answer is waiting for you here!

We need:

• Block blocks of different calibers;
• stands for construction;
• pens;
• small paper leaves.

The process allows you to have a visual model, and if necessary, recalculate points. Here, too, you can arrange a competition. Do not think that this is not honest towards your student. Think about better what watching your actions, he will learn how to do as you, and then better than you.

So, we offer on the chalkboard issued to make the most examples. They can be absolutely any. Some child wants to stay in the "Comfort Zone" and will be made of small details. The other way deliberately wants to show that it can work with large numbers. After laying the blocks, you need to prepare pieces of paper, write examples and answers. That wins the one who finished the first, and most importantly, correctly considered.

Alexander fell in love with this occupation, it is not surprising, about our buildings from I wrote separately. Having played several times, we came to the conclusion that the optimal time of 10 minutes, the kitchen watch with alarm clock helped us helped us. As soon as the call is silent - you need to stop. Thus, it is considered as the number of options it turned out for everyone, how many of them are correct and the winner is chosen. As before, I suggest son check my answers, and I check it.

Photo increases when clicking

Third game

The struggle is conducted between the two players, each of which tries to close the "field".

We need:

• Sheet of paper into the cell;
• cubes dawns;
• 2 different colors of markers or ballpoint pens.

Conditions of the game

1. The first player throws the dawn. Those numbers that fell should be multiplied with each other. For example, cubes stopped at 4 and 5, the player draws a number of 4 per 5 cells on paper. That is, with its color of the felt-meter, he "takes himself" the cells and enters the example of 4 × 5 \u003d 20 inside.
2. Now a turn of the opponent, he does the same from the opposite end of the sheet.
3. Subsequent moves have a rule: each next example should touch at least one side of another example of the same player. If it uses for example, red, then joins his "lands" only to it.
4. When the places remain a little and fall out of the amounts that are not placed in the remaining space - the move is skipped.
5. Wins the one who first fills all its space.

So if you wondered how to help the child learn the multiplication table, this entertainment to help you. It also includes elements of competitiveness. At the end, many moves are really skipped, when for example, one free cell remains and only 1 × 1 is suitable.

Fourth game

These are already serious actions, albeit in the game form. The advantages are that you can prepare cards with the necessary numbers as you studied. Make them easily, flashering a sheet.

We will need:

• Chips - I have transparent dies out. You can use buttons, circles from colored paper or any other suitable material;
• cards with numbers, I laminated them, as they played many times;
• cubes dawn.

Conditions of the game

The playing is issued for 10 chips, each must have its own. In the middle of the table there is a card with numbers that are obtained by multiplying. I did up to 12, i.e. Each number from 2 to 10, multiplied by 12.

1. The first player throws cubes, the resulting numbers folds between themselves and multiplies, for example, by 3. On the result, he puts his chip.
2. Throws an opponent, repeating actions. If his chip should stand on a rival occupied by his opponent, he throws it and put his own.
3. If any of the players falls on the number twice, it puts the chip over its own, thus blocking the place. The opponent can no longer throw it.
4. If the number has fallen, which is blocked, it misses the move. At the same time, it does not matter if it was blocked himself or an opponent.
5. Who remains without chips - wins.

Fifth game

Make this set for training skills, relatively simple.

You will need:

• Wands for ice cream;
• black and red markers;
• paper;
• capacity over the length of sticks.

Write various examples Without replies at the base of each stick. For every 10-15 - one word boom! I like to place 30-40 examples and 3-4 words boom.

You can easily adapt this occupation to any level by simply changing the numbers. This occupation I have prepared a last time, almost for training skills. Actions are compiled from 2 to 9, multiplied by the number from 3 to 15. The photo shows the first party with small numbers. You can make one jar at 2-6, another by 7-10 and if desired by 11-15. So, insert the material prepared by the "face" down so that children do not see that it is written on it.

Conditions of the game

1. The first player pulls out a wand. If an example is written on it, he reads it and then gives the answer. If that correctly - the child leaves the trophy. If not true - he must return it to the container.
2. Players continue in a circle, responding to the captured questions.
3. As soon as someone from the players pulls out a boom! All its accumulated trophy is returned to the container. It may seem sharp, but often happens, so that all playing at some point will receive a boom!
4. The process can last for a very long time, because ultimately someone will lower all sticks back! If you want the winner and children are not tired, or it was just the opportunity to complete without whims, then it is better to get a kitchen o'clock. Sweeping them for example for 15-20 minutes, we consider sticks after the alarm ring and the winner becomes the one who has them more.

Additionally

If you do not want to make the game with your own hands, you can use the purchased, for example, for hipping knowledge here is like.

Are you going to study a fraction with a child? Gang of Magnikov released a great game Dissisimo. It can be played in it from 6 years old, but if you enable it in your leisure at home, the student of the elementary classes will definitely not have problems in solving examples with fractions. See B. Labyrinth. In the video below explains the rules and levels of the game.

If your kids are excite and want even more desktop mathematical entertainment, visit where it gives game cards for printing.

Conclusion

Dear parents, I tried to show you the whole process, from beginning to end, how to easily learn the multiplication table to the child. I like the thought no longer to drive the numbers and quickly get the top five in the diary, but to spend your kindergarten through a systematic understanding of what the example is made by what ways you can count the answer. After all, our kids will soon enter the highest mathematics, and there you will not leave on one cramp. If you know, we used other games to teach the child to the multiplication table, share with me, please in the comments. In order not to lose an article, you can save it in social networks using the buttons below. Check out.

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Multiplication table - basic concept In mathematics with which we get acquainted in the elementary school and which then use the whole life regardless of the profession. Here are just children in no hurry to memorize endless columns by heart, especially if the task accounted for vacation.

website Give advice how easy it is easy to learn the table with children and make this process fascinating.

Table Pythagora

Despite the fact that the task is to learn, that is, to memorize, the table is by heart, first of all it is important to understand the essence of the very action. To do this, you can replace multiplication by adding: the same numbers fold as many times as we multiply. For example, 6 × 8 is to fold 8 times 6.

Select the same values

An excellent assistant to explore multiplication will be the Pythagorean table, which also demonstrates some patterns. For example, what about t change places of multipliers The product does not change: 4 × 6 \u003d 6 × 4. Mark such "mirror" answers with a certain color - this will help remember and not get confused when repetition.

Start the study of the Pythagore table is better from the simplest and clear parts: multiplication by 1, 2, 5, and 10.When multiplying by unit, the number remains unchanged, and multiplication by 2 gives us a double value. All multiplication responses to 5 ends either by 0, or by 5. But multiplying 10, in response, we will receive a two-digit number from the number that is multiplied and zero.

Table to secure the result

To secure the results, draw a blank table of Pythagore with your child and offer it to fill the cells with the correct answers. To do this, you will need only a piece of paper, pencil and ruler. It is necessary to draw a square and divide it on 10 parts vertically and horizontally. And then fill the top line and the extreme left column numbers from 1 to 9, skipping the first cell.

Of course, all children are individual and universal recipe does not exist. The main task of the parent is to find an approach and support your child, because we all started with such simple and difficult steps with such simultaneously.

In the modern elementary school, the multiplication table begins to learn in the second grade and finish in the third, and often learn the multiplication table is set for the summer. If the summer you did not do, and so far the child "floats" in the examples to multiply, tell me how to learn the multiplication table quickly and fun - with the help of drawings, games and even fingers.

Problems that often arise in children due to the multiplication table:

1. Children do not know what is 7 × 8.
2. Do not see that the task should be solved by multiplication (because it does not say directly: "What is 8 to multiply by 4?")
3. Do not understand that if you know that 4 × 9 \u003d 36, then you also know what is equal to 9 × 4, 36: 4 and 36: 9.
4. Do not know how to use your knowledge and restore for a forgotten piece of the table.

How to quickly learn multiplication table: Multiplication language

Before you start learning along with the child multiplication table, it is worth a little to the side and realize that a simple example on multiplication can be described by an amazing amount. in different ways. Take an example 3 × 4. You can read it as:

• three times four (or four times three);
• three times four;
• three multiply by four;
• work three and four.

At first, the child is far from obvious that all these phrases mean multiplication. You can help your son or daughter if, instead of repeating, you will be as if to use different language in conversations about multiplication. For example: "So how many four will be three? What happens if you take three times four?"

In what order to teach multiplication table

The most natural way for children way to learn the multiplication table is to start with the simplest and gradually move to the most complex one. Reasonable such sequence:

Multiplication by ten (10, 20, 30 ...), which children are absorbed naturally in the process of learning the account.

Multiplication by five (after all, we all have five fingers on your hands and legs).

Multiplication by two. Couples, even numbers and doubling are familiar with even young children.

Multiplication by four (after all, it is only a doubling of multiplication by two) and eight (doubling multiplication by four).

Multiplication by nine (for this there are quite convenient techniques, about them below).

Multiplication by three and six.

Multiplication by seven.

Why 3 × 7 is 7 × 3

Helping the child to remember the multiplication table, it is very important to explain to him that the order of numbers does not matter: 3 × 7 gives the same answer as 7 × 3. One of best ways clearly show it - use an array. This is a special mathematical word denoting a set of numbers or figures enclosed in a rectangle. Here, for example, an array of three lines and seven columns.

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An array is a simple and visual tool to help the child to figure out how multiplication and fractions work. How many points in a rectangle 3 to 7? Three lines of seven elements are 21 elements. In other words, arrays - an understanding method to understand the multiplication, in this case 3 × 7 \u003d 21.

What if we draw an array in a different way?

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Obviously, in both arrays there should be the same number of points (they do not have to consider it possible, because if the first array is rotated to a quarter of turnover, it will look exactly as the second.

Looking around, look nearby, in the house or on the street, some arrays. Take a look, for example, on the cupcakes in the box. Cupcakes are laid in an array of 4 to 3. And if you turn? Then 3 to 4.

And now take a look at the windows of the high-rise building. This is yes, it is also an array, 5 to 4! Or maybe 4 on 5, how to see? It is worth starting to pay attention to arrays, as it turns out that they are everywhere.

If you have already learned the idea with children that 3 × 7 is the same as 7 × 3, then the number of multiplication facts that you need to remember is sharply reduced. It is worth learn 3 × 7 - and as a bonus you get an answer to 7 × 3.

Knowing the multiplication of the multiplication law reduces the number of multiplication facts from 100 to 55 (not exactly half due to the cases of the construction of a square, such as 3 × 3 or 7 × 7, which have no pairs).

Each of the numbers located above the dotted diagonal (for example, 5 × 8 \u003d 40) is present below (8 × 5 \u003d 40).

The table contains and another prompt. Children usually begin to teach multiplication table with counting algorithms. To figure out what is 8 × 4, they think like this: 4, 8, 12, 16, 20, 24, 28, 32. But if you know that eight four is the same thing that four times eight, then 8, 16 , 24, 32 will be faster. In Japan, children are specially taught to "put a smaller number first." Seven times 3? Do not do so, consider it better 3 times on 7.

Explore squares of numbers

The result of multiplication of the number on itself (1 × 1, 2 × 2, 3 × 3, etc.) is known as square numbers. This is because graphically such multiplication corresponds to a square array. If you return to the multiplication table and look at its diagonal, you will see that the squares of the numbers are all.

They have interesting featurewhich you can explore with the child. Listing the squares of numbers, pay attention to how much they increase each time:

Squares of numbers 0 1 4 9 16 25 36 49 ...
Difference 1 3 5 7 9 11 13

This curious connection between the squares of numbers and odd numbers is a great example of how different types The numbers are interconnected in mathematics.

Multiplication table for 5 and 10

The first and most simple table that should be learned - multiplication table by 10: 10, 20, 30, 40 ...

In addition, children relatively easily memorize the multiplication table by five, and help them in this hands and legs, clearly representing four fives.

It is also convenient that the numbers in the multiplication table are always running out by 5 or 0. (So, we know for sure that the number 3 451 254 947 815 is present in the multiplication table by five, although we will not be able to make sure using the calculator: on The device screen such a number is simply not placed).

Children are easily doubled the numbers. It is probably due to the presence of two hands on five fingers on each. However, children do not always bind doubling with multiplication by two. The child can know that if you double six, it will turn out 12, but when you ask him, something like six two, he has to consider: 2, 4, 6, 8, 10, 12. In this case, it should be reminded him that six two - The same thing that is twice six, and twice six - this is a double six.

Thus, if your child doubles well, he, essentially knows the multiplication table by two. At the same time, it is unlikely to immediately understand that with her help you can quickly imagine a multiplication table for four - for this you just need to double and redouble it.

Game: Double Food

You can adapt any game in which the players throw a cube, so that all the throws are considered double. This gives several advantages at once: on the one hand, children like the idea to go with each throw twice the further than the cube shows; On the other hand, they gradually master the multiplication table by two. In addition, (which is important for parents engaged in other affairs), the game is twice as fast.

Multiplication Table by 9: Payment Method

One way to master the multiplication table by nine is to take the result of the multiplication of ten and subtract too much.

What is the same nine times seven? Ten times seven - this is 70, we subtract seven, we get 63.

7 × 9 \u003d (7 × 10) - 7 \u003d 63

Perhaps the quick sketch of the corresponding array will help consolidate this idea in the mind of the child.

If you memaed a multiplication table by nine only to "nine ten", then nine 25 will put you in a dead end. But ten times at 25 it is 250, we subtract 25, we get 225. 9 × 25 \u003d 225.

Check yourself

Will you solve an example of 9 × 78 in the mind of the compensation method (multiplying by 10 and taking 78)?

There is another convenient way master the multiplication table by nine. It uses fingers, and children adore it.

Keep your hands in front of your palms down. Imagine that your fingers (including both large) are numbered from 1 to 10. 1 - a little finger on the left hand (extreme finger to your left), 10 - a little finger on the right (extreme finger on the right).

To multiply some kind of nine, lower finger with the corresponding number. Let's say you are interested in nine 7. Generate your finger, which you mentally designated the seventh number.

And now take a look at your hands: the number of fingers to the left of the curved will give you the number of dozens in the answer; In this case, it is 60. The number of fingers to the right will give the number of units: three. Outcome: 9 × 7 \u003d 63. Try: This method works with all unambiguous numbers.

Multiplication table for 3 and by 6

For children, the multiplication table is three - one of the most complex. In this case, there are practically no receptions, and the multiplication table to 3 will have to just come down.

The multiplication table by six should be directly from the multiplication table to three; Here, again, everything comes down to doubling. If you know how to multiply on three, just double the result - and get multiplication by six. Thus, 3 × 7 \u003d 21, 6 × 7 \u003d 42.

Multiplication Table by 7 - Bone game

So, all that we have left is the seven multiplication table. There is good news. If your child successfully mastered the tables described above, there is no need to memorize anything at all: everything is already in the other tables.

But if your child wants to learn the multiplication table by 7 separately, we will introduce you to the game that will help speed up this process.

You will need so many playing cubes as you can find. Ten, for example, is an excellent amount. Tell your son or daughter, what you want to see who of you will be able to fold the numbers dropped on the cubes. However, let the children themselves decide how many cubes throw. And in order to increase the chances of a child to the winnings, you can agree that it should be added to the numbers indicated on the upper edges of the cubes, and you are those as on the upper and lower ones.

Let every child choose at least two cubes and put them in a glass or a mug (it is convenient to shake the bone, seeking the accident rate). You need to know only how many cubes took a child.

As soon as the cubes are thrown, you can immediately calculate how much the numbers are given on the upper and lower edges! How? Very simple: multiplying the number of cubes on 7. Thus, if three cubes were taken, the sum of the upper and lower numbers will be 21. (The reason, of course, is that the numbers on opposite glands of the playing bone always give in the amount of seven.)

Children will be so amazed by the speed of your calculations, which will also want to master this method to ever use them in the game with buddies.

In the era of the so-called British imperial system of measures and the "non-definite" money, everyone needed to own a score up to 12 × 12 (then 12 pence was in Shilling, and 12 inches). But today, 12th then it also pops up in the calculations: many people still measuring and believes in inches (in America it is standard), and eggs sell dozens and villains.

Little of. The child, a freely variable number of ten, begins to be developed understanding how many big numbers. Knowledge of multiplication tables at 11 and 12 helps to notice interesting patterns. Let us give a complete multiplication table up to 12.

Please note: the number eight, for example, is found in the table four times, whereas 36 - five times. If you connect all cells with a number eight, it turns out a smooth curve. The same can be said about cells with a number 36. In fact, if some number appears in the table more than two times, then all the places of its appearance can be connected by a smooth curve of about the same form.

You can push your child to an independent study that will take it (maybe) for half an hour, or even more. Print several instances of the multiplication table of the twelve first numbers to 12, and then ask him to do the following:

• color all cells with even numbers in red, and with odd - blue;
• determine what numbers are met there most often;
• say how many different numbers are found in the table;
• answer questions: "What is the smallest number not found in this table? What other numbers from 1 to 100 are missing in it?".

Focus with eleven

The multiplication table is built the easiest way.

1 × 11 \u003d 11
2 × 11 \u003d 22
3 × 11 \u003d 33
4 × 11 \u003d 44
5 × 11 \u003d 55
6 × 11 \u003d 66
7 × 11 \u003d 77
8 × 11 \u003d 88
9 × 11 \u003d 99

• Take any number from ten to 99 - let it be, say, 26.
• Break it into two numbers and unlock them so that the gap formed in the middle: 2 _ 6.
• Fold together two digits of your number. 2 + 6 \u003d 8 and insert what happened in the middle: 2 8 6

This is the answer! 26 × 11 \u003d 286.

But be careful. What happens if you multiply 75 × 11?

• We divide the number: 7 _ 5
• Fold: 7 + 5 \u003d 12
• Insert the result in the middle and get 7125, which is obviously wrong!

What's the matter? In this example, there is a small trick that needs to be used when the numbers used to designate the number in the amount are ten or more (7 + 5 \u003d 12). We add one to the first of our numbers. Therefore, 75 × 11 will not be 7125, but (7 + 1) 25, or 825. So focus is not really so simple as it may seem.

Game: Be a Calculator

The purpose of this game is to develop fast-use skill with multiplication table. You will need a deck of playing cards without pictures and calculator. Decide who from playing the first will use a calculator.

• The player with the calculator must multiply two numbers dropped on the maps; At the same time, it must use the calculator, even if he knows the answer (yes, it can be very hard).
• Another player must multiply the same two numbers in the mind.
• The one who receives the answer is first, gets the point.
• After ten attempts, players change places.