Learn multiplication table easy if you use a game-based teaching method.

It is difficult for a primary school student to immediately master such a mathematical operation as multiplication. Hard work will definitely bear fruit, but first you need to understand the reasons for the baby’s difficulties.

It often happens that a child who successfully masters the primary school curriculum experiences difficulties when passing the topic “Multiplication”. Parents do not need to panic and should not scold the baby.

Tip: Give extra lessons and help your son or daughter remember these simple steps.

How to teach a child multiplication, how to explain?

Second grade students have difficulty memorizing the multiplication table, as children do not understand the essence of the mathematical operation “multiplication.” How to teach a child multiplication, how to explain:

• Take the counting sticks and place them in pairs on the table. For example, 4 pairs. The child must count how many sticks are on the table
• Let the child write down the addition as an example: 2+2+2+2=8. Explain to your child the features of this action: the same numbers are added
• Continue the row of additions and place two or three more pairs of sticks on the table. Write down the example on paper: 2+2+2+2+2+2= 12
• Explain to your child that this action can be written as a multiplication: 2x6 = 12
• Now invite your child to do one more action. Lay out, for example, 8, 9 or 10 pairs of counting sticks on the table. Let the child create multiplication actions on his own. You will see with what interest he will do this

Important: When multiplication “by 2” is mastered, you can move on to more complex actions.

Multiplication table simulator

Important: It’s good for children’s memory when a child sees a mathematical operation clearly. Buy posters with the multiplication table or draw it yourself on a sheet of A1 paper.

Explain to your child that he only needs to remember 36 combinations. Other actions are repeated or very simple.

When the baby understands the peculiarity of these actions, the entire multiplication table will seem easy to him. The simulator will help your memory remember complex actions and learn simple actions without spending a lot of time on them.

Video: Multiplication tables

Video: Teaching your child the multiplication table is very easy and simple

Video: Visual multiplication table. Counting video clip.

It’s easy to multiply any number by “2,” since it’s adding that number twice.

2x1=2(2 is repeated 1 time - it turns out 2)

2x2=4(2 is repeated 2 times - it turns out 4)

2x3=6(2 is repeated 3 times - it turns out 6)

2x4=8(2 is repeated 4 times - it turns out 8)

2x5=10(2 is repeated 5 times - it turns out 10)

2x6=12(2 is repeated 6 times - it turns out 12)

2x7=14(2 is repeated 7 times - it turns out to be 14)

2x8=16(2 is repeated 8 times - it turns out to be 16)

2x9=18(2 is repeated 9 times - it turns out to be 18)

2x10=20(2 is repeated 10 times - it turns out 20)

Explain to your child, using a clear example, how multiplication by “3” occurs so that he understands. Then he will be able to quickly remember this action.

3x1=3(3 is repeated 1 time - it turns out 3)

3x2=6(3 is repeated 2 times - it turns out 6)

3x3=9(3 is repeated 3 times - it turns out 9)

3x4=12(3 is repeated 4 times - it turns out to be 12)

3x5=15(3 is repeated 5 times - it turns out to be 15)

3x6=18(3 is repeated 6 times - it turns out to be 18)

3x7=21(3 is repeated 7 times - it turns out to be 21)

3x8=24(3 is repeated 8 times - it turns out to be 24)

3x9=27(3 is repeated 9 times - it turns out to be 27)

3x10=30(3 is repeated 10 times - it turns out 30)

The fourth column of the multiplication table is still easy and the child will easily remember it. Help your baby with your tips and support in the form of words of encouragement and praise, and he will definitely be able to do anything.

4x1=4(4 is repeated 1 time - it turns out 4)

4x2=8(4 is repeated 2 times - it turns out 8)

4x3=12(4 is repeated 3 times - it turns out to be 12)

4x4=16(4 is repeated 4 times - it turns out to be 16)

4x5=20(4 is repeated 5 times - it turns out to be 20)

4x6=24(4 is repeated 6 times - it turns out to be 24)

4x7=28(4 is repeated 7 times - it turns out to be 28)

4x8=32(4 is repeated 8 times - it turns out to be 32)

4x9=36(4 is repeated 9 times - it turns out to be 36)

4x10=40(4 is repeated 10 times - it turns out 40)

The fifth column of the multiplication table is easy mathematical operations. To get the result, you need to multiply the number by which “5” is multiplied by “10”, and then divide it in half.

Important: When a child understands how numbers are multiplied by “5,” a logical chain of each action from this column will eventually appear in his head. Thanks to this, he will be able to multiply by “5” instantly.

5x1=5(5 is repeated 1 time - it turns out 5)

5x2=10(5 is repeated 2 times - it turns out 10)

5x3=15(5 is repeated 3 times - it turns out to be 15)

5x4=20(5 is repeated 4 times - it turns out to be 20)

5x5=25(5 is repeated 5 times - it turns out to be 25)

5x6=30(5 is repeated 6 times - it turns out 30)

5x7=35(5 is repeated 7 times - it turns out 35)

5x8=40(5 is repeated 8 times - it turns out 40)

5x9=45(5 is repeated 9 times - it turns out 45)

5x10=50(5 is repeated 10 times - it turns out to be 50)

With multiplication by “6,” the first difficulties appear: actions are difficult to remember, and the numbers turn out to be large.

Important: Explain to your child that the “6x6” row is a repetition of works from previous columns that have already been learned. There are only four complex actions left to learn.

6x1=6(6 is repeated 1 time - it turns out 6)

6x2=12(6 is repeated 2 times - it turns out 12)

6x3=18(6 is repeated 3 times - it turns out to be 18)

6x4=24(6 is repeated 4 times - it turns out to be 24)

6x5=30(6 is repeated 5 times - it turns out 30)

6x6=36(6 repeated 6 times = 36)

6x7=42(6 is repeated 7 times - it turns out 42)

6x8=48(6 is repeated 8 times - it turns out to be 48)

6x9=54(6 is repeated 9 times - it turns out to be 54)

6x10=60(6 is repeated 10 times - it turns out to be 60)

The seventh column of the multiplication table is usually easier to remember than the subsequent ones. It has a couple of difficult steps that you need to learn.

7x1=7(7 is repeated 1 time - it turns out 7)

7x2=14(7 is repeated 2 times - it turns out 14)

7x3=21(7 is repeated 3 times - it turns out to be 21)

7x4=28(7 is repeated 4 times - it turns out to be 28)

7x5=35(7 is repeated 5 times - it turns out to be 35)

7x6=42(7 is repeated 6 times - it turns out to be 42)

7x7=49(7 is repeated 7 times - it turns out to be 49)

7x8=56(7 is repeated 8 times - it turns out to be 56)

7x9=63(7 is repeated 9 times - it turns out to be 63)

7x10=70(7 is repeated 10 times - it turns out to be 70)

The last difficult column of the multiplication table. If the child remembers the previous columns well, then it will not be difficult for him to learn multiplication by “8”. There are only two new actions: 8x8 and 8x9

8x1=8(8 is repeated 1 time - it turns out 8)

8x2=16(8 is repeated 2 times - it turns out to be 16)

8x3=24(8 is repeated 3 times - it turns out to be 24)

8x4=32(8 is repeated 4 times - it turns out to be 32)

8x5=40(8 is repeated 5 times - it turns out to be 40)

8x6=48(8 is repeated 6 times - it turns out to be 48)

8x7=56(8 is repeated 7 times - it turns out to be 56)

8x8=64(8 repeated 8 times = 64)

8x9=72(8 repeated 9 times = 72)

8x10=80(8 repeated 10 times = 80)

The ninth column is one of the easiest. We have already multiplied all numbers by “9”. Therefore, the baby will have to learn only one action: 9x9

9x1=9(9 is repeated 1 time - it turns out 9)

9x2=18(9 is repeated 2 times - it turns out 18)

9x3=27(9 is repeated 3 times - it turns out to be 27)

9x4=36(9 is repeated 4 times - it turns out to be 36)

9x5=45(9 is repeated 5 times - it turns out to be 45)

9x6=54(9 is repeated 6 times - it turns out to be 54)

9x7=63(9 is repeated 7 times - it turns out to be 63)

9x8=72(9 repeated 8 times = 72)

9x9=81(9 repeated 9 times = 81)

9x10=90(9 repeated 10 times = 90)

Multiplication table - game for children

Multiplication table - game for children

Today you can find many different methods for memorizing the multiplication tables. Mathematics is a difficult science, but for a child it doesn't have to be. If you teach your child correctly, he will easily perceive and remember any information.

Most easy way learn multiplication tables is a game for children. If the child is willing to go to classes, then he will be able to remember everything that will be offered to him in these classes.

Important: If you see that the child is not in the mood to study, for example, he is capricious. Postpone the lesson until a more appropriate time.

Games for children to quickly learn the multiplication tables:

Video: Educational online game for children to quickly learn multiplication tables

Video: MULTIPLICATION TABLE. DEVELOPMENTAL CARTOON!

Video: Educational lessons and cartoons for children. Arithmetic. Multiplication table

As mentioned above, the main rule for teaching a child the multiplication table is the game form of the lessons. You can use multiplication in poems for children.

Important: Poems are well remembered because of the rhyme, which means that the multiplication table will also be perfectly remembered in the child’s mind.

Poems - multiplication by 8

Multiplying by 5 - poetry

Multiplying by 8 - verses

Video: Verse Multiplication tables in verse

To make classes fun, buy your child books with multiplication tables. Read them with him, and positive emotions will help him quickly remember mathematical operations that are difficult for a child.

Video: Improving a child’s performance in mathematics - Everything will be fine - Issue 481 -10.20.14-Everything will be fine

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Multiplication table - basic concept in mathematics, which we become familiar with in elementary school and which we then use throughout our lives, regardless of profession. But children are in no hurry to memorize endless columns, especially if the task happened during the holidays.

website will give tips on how to easily learn the table with your children and make this process fun.

Pythagorean table

Despite the fact that the task is to learn, that is, memorize, the table, first of all it is important to understand the essence of the action itself. To do this, you can replace multiplication with addition: identical numbers are added as many times as we multiply by. For example, 6x8 means adding 8 times 6.

Highlight identical values

An excellent assistant for learning multiplication will be the Pythagorean table, which also demonstrates some patterns. For example, what about When the factors change places, the product does not change: 4×6 = 6×4. Mark such “mirror” answers with a certain color - this will help you remember and not get confused when repeating.

It is better to start studying the Pythagorean table with the simplest and most understandable parts: multiplication by 1, 2, 5 and 10. When multiplied by one, the number remains unchanged, but multiplied by 2 gives us double the value. All answers to multiplication by 5 end in either 0 or 5. But multiplying by 10, in the answer we get a two-digit number from the number that was multiplied and zero.

Table to consolidate the result

To consolidate the results, draw an empty Pythagorean table with your child and invite him to fill in the boxes with the correct answers. To do this, you only need a piece of paper, a pencil and a ruler. You need to draw a square and divide it into 10 parts vertically and horizontally. And then fill in the top line and the leftmost column with numbers from 1 to 9, skipping the first cell.

Of course, all children are individual and there is no universal recipe. The main task of a parent is to find an approach and support his child, because we all once started with such simultaneously simple and complex steps.

Multiplication table.
How to learn the multiplication table - thousands of schoolchildren and their parents puzzle over this question year after year.
The games in this section are designed to help children learn the multiplication tables with pleasure, willingly and without any coercion. The games will introduce you to the multiplication tables; the material is presented in a simple, exciting and fun way. By solving fun problems and multiplication examples, children will not only gain the necessary knowledge, but will also find something to fill their leisure time with. Let's learn by playing!

It just so happens that the multiplication table is very important. It helps in various calculations; without mastering it, it is not possible to study well in school in the future. And as an adult, you will use it often. Its importance is understood not only by people, but also by unusual creatures from our new game. They will check how well you know the multiplication tables. Play >>

Tigers also learn their multiplication tables by playing an educational game on a tablet. We invite you to play with them and find out how well you can multiply.

And in this game, you will have to dive into the depths of the ocean, where many beautiful fish live. And again, not an easy task awaits you, but a very interesting one - learning the multiplication table! If you're ready to go on an underwater adventure, then go ahead!

Puzzles with examples from the multiplication table.
Our puzzles will help you learn the multiplication tables better. On the playing field there are examples of table multiplication; you need to solve them and select the puzzle piece with the correct answer. If you decide everything correctly, then you will get a colorful picture from the fragments.

Cosmic multiplication table
Here you can go on an unusual journey. Explore the vastness of the Universe in a spaceship and study the multiplication tables.

Marksman
Here they shoot from a bow at targets. Choose the one that contains the answer to the example on the multiplication table. Be accurate and hit the bull's eye!

Multiplication table knowledge tests
You can use these games to test yourself to see if you have learned your multiplication tables well.
Solve examples and test your knowledge.

Game "Multiplication tables"

Use this code to enable the game "Multiplication Tables." to your blog or website.

Multiplication and division problems

Do you want your child to study mathematics with pleasure, willingly and without any coercion? Then you can’t do without these puzzles. They introduce arithmetic operations - multiplication and division, and the material itself is given in a very simple and fun way. Those who are still learning the multiplication table with these fun problems will easily be able to master its basics, and those who are already familiar with it will consolidate their knowledge. By solving fun problems, examples and puzzles, children will not only gain the necessary knowledge, but will also find something to fill their leisure time with. We play and learn!

Where did the multiplication table come from?

The world's oldest multiplication tables were found during excavations in the cities of Ancient Mesopotamia. They were inscribed using cuneiform script on clay tablets that are 5,000 years old. So, most likely, the multiplication table appeared somewhere in those parts.
Although it is also possible that this system oral counting appeared independently in different places.
The multiplication table has another name - the Pythagorean table. Pythagoras - famous Greek mathematician (570-490 BC). In European culture, the authorship of the multiplication tables is attributed to him. But there is no documentary or any other clear evidence of this, like many other things that are attributed to Pythagoras. The fact is that during his long and fruitful life (80 years), Pythagoras did not leave any works or treatises for his descendants (or they simply did not survive). This is one of the main reasons why Pythagoras’ authorship of great discoveries and achievements is questioned.

Where and how to study the multiplication table.

The multiplication table was first introduced into the school curriculum in England at the end of the Middle Ages. True, it was a multiplication table up to 12, which, by the way, young British people go through to this day. , which is also associated with units of the English system of measures of length (1 foot = 12 inches) and monetary circulation (which existed until 1971: 1 pound sterling = 20 shillings, 1 shilling = 12 pence).
But in India, students still cram the original version of the table - up to 20.
In Russia, the multiplication table is usually taught at the age of 8. But in English schools the multiplication table must be learned by the age of 11.

Multiplication tables are good for memory training!

Yes, it's true: the multiplication table is an excellent memory workout. But, like any other workout, it must be regular to achieve good results. Learn the table gradually and do not try to cover all the numbers at once. If you want to learn the multiplication tables quickly, work with your child a little every day.

Multiplication table in verses

To make it easier to remember the table, you can use verses.

A. Usachev. Multiplication table in verses.
What is Multiplication?
This is a smart addition.
After all, it’s smarter to multiply times,
How to put everything together for an hour.
1x1
One penguin was walking among the ice floes.
Once alone - alone.
1x2
There is safety in numbers.
Once two is two.
2x2
Two athletes took weights.
This is: two and two are four.
2x3
The rooster sat before dawn
On a high pole:
- Crow!..Twice three,
Twice three is six!
A pair of forks stuck into the pie:
Two by four - eight holes.
2x5
They decided to weigh two elephants:
Two times five equals ten.
That is, every elephant weighs
Approximately five tons.
2x6
Met a crab with cancer:
Twice six equals twelve paws.
2x7
Twice seven mice -
Fourteen ears!
2x8
The octopuses went for a swim:
Twice eight legs is sixteen.
2x9
Have you seen such a miracle?
Two humps on the back of a camel.
Nine camels began to be counted:
Twice nine humps equals eighteen.
2x10
Twice ten is two tens!
Twenty, to put it briefly.
3x3
Two insects drank coffee
And they broke three cups.
What is broken cannot be mended...
three times three equals nine.
3x4
He talks all day in the apartment
Talking cockatoo:
- Three times four,
Three times four...
Twelve months a year.
3x5
The schoolboy began to write in his notebook:
How much is “three times five”?..
He was terribly careful:
Three times five equals fifteen spots!
3x6
Thomas began to eat pancakes:
Eighteen is three times six.
3x7
Three times seven is twenty one:
There's a hot pancake on my nose.
3x8
Mice gnawed holes in the cheese:
Three times eight is twenty four.
3x9
Three times nine is twenty seven.
Everyone needs to remember this.
3x10
Three girls under the window
Dressed up in the evening.
The girls tried on the rings:
Three times ten equals thirty.
4x4
Four cute pigs
danced without boots:
Four times four equals sixteen bare legs.
4x5
Four scientist monkeys
We were leafing through books with our feet...
Each foot has five toes:
Four times five is twenty.
4x6
I went to the parade
Jacket potato:
Four times six is ​​twenty four!
4x7
Chicks are counted in the fall:
Four times seven is twenty eight!
4x9
Baba Yaga's stupa broke:
“Four times eight” - thirty-two teeth! -
She has nothing to eat between her teeth:
- Four times nine is “thirty six”!
4x10
Forty forty walked
We found curd cheese.
And divide the cottage cheese into parts:
Four times ten is forty.
5x5
The hares went out for a walk:
Five five is twenty five.
5x6
A fox ran into the forest:
Five six makes thirty.
5x7
Five bears from a den
We walked through the forest without a road -
To slurp jelly seven miles away:
Five seven is thirty five!
5x8
Climb the centipede
Difficult up the hill:
Legs are tired -
Five eight is forty.
5x9
The guns stood on the hill:
Five eight - that's forty.
The guns started firing:
Five nine is forty five.
5x9
If you slurp cabbage soup with a bast shoe:
Five nine - forty five...
There will be this bast shoe
Drip on everyone's trousers!
5x10
Digging a bed of zucchini
Five dozen patches.
And piglets' tails:
Five ten is fifty!
6x6
Six old women were spinning wool:
Six six is ​​thirty six.
6x7
Six networks of six ruffs -
This is also thirty-six.
And a roach got caught in the net:
Six seven is forty two.
6x8
Hippos of buns ask for:
Six eight - forty eight...
6x9
We don't mind the buns.
Open your mouth wider:
Six will be nine -
Fifty four.
6x10
Six geese leading the goslings:
Six ten is sixty.
7x7
Fools are not reaped, fools are not sown,
They themselves are born:
Seven seven - forty nine...
Let them not be offended!
7x8
Once a deer asked an elk:
- What is seven eight? -
Elk did not bother to look into the textbook:
- Fifty, of course, six!
7x9
Seven nesting dolls
The whole family is inside:
Seven nine crumbs -
Sixty three.
7x10
Seven fox cubs are taught at school:
Seven ten - seventy!
8x8
Vacuuming with his nose
Elephant carpets in the apartment:
Eight by eight -
Sixty four.
8x9
Eight bears were chopping wood.
Eight nine is seventy two
8x10
The best score in the world
Coming New Year…
Toys hang in eight rows:
Eight ten is eighty!
9x9
The little pig decided to check:
- How much does “nine by nine” turn out to be?
- Eighty - oink - one! -
So answered the young pig.
9x10
The sandpiper is small, but the nose is:
Nine ten is ninety.
10x10
There are a dozen moles in the meadow,
Each person digs ten beds.
And at ten ten - a hundred:
The whole earth is like a sieve!

Secrets of the multiplication table for the number 9.

9 * 2 = 1 8
9 * 3 = 2 7
9 * 4 = 3 6
9 * 5 = 4 5
9 * 6 = 5 4
9 * 7 = 6 3
9 * 8 = 7 2
9 * 9 = 8 1

On fingers:
Place both hands on the table, palms down. Then let the little finger of the left hand be the first finger, the ring finger the second, the middle finger the third, etc., the thumb of the right hand the sixth, etc., the little finger of the right hand the tenth finger of both hands.
These fingers are an infallible counter
9 * 5 = 45
To solve this on your fingers, you just have to look at how many fingers from the 5th finger to the left and how many to the right: 4 fingers to the left are 4 tens, 5 to the right are 5 units, which means the answer will be 45.
9 * 7 = 63
From the 7th finger to the left there are 6, to the right there are 3 fingers, which means 63.

Multiplication table or the Pythagorean table is a well-known mathematical structure that helps schoolchildren learn multiplication, as well as simply solve specific examples.

Below you can see it in its classic form. Pay attention to the numbers from 1 to 20 that title the lines on the left and the columns at the top. These are multipliers.

How to use the Pythagorean table?

1. So, in the first column we find the number that needs to be multiplied. Then in the top line we look for the number by which we will multiply the first one. Now we look at where the row and column we need intersect. The number at this intersection is the product of these factors. In other words, it is the result of their multiplication.

As you can see, everything is quite simple. You can view this table on our website at any time, and if necessary, you can save it to your computer as a picture so that you can access it without an Internet connection.

2. And again, please note that below there is the same table, but in a more familiar form - in the form mathematical examples. Many people will find this form simpler and more comfortable to use. It is also available for downloading to any medium in the form of a convenient image.

And finally, you can use our calculator, which is present on this page, at the very bottom. Just enter the numbers you need for multiplication into the empty cells, click on the Calculate button, and immediately a new number will appear in the Result window, which will be their product.

We hope this section will be useful to you, and our Pythagorean table in one form or another it will more than once help you in solving examples with multiplication and simply for memorizing this topic.

Pythagorean 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 standard form from 1 to 10

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

Multiplication tables in standard form from 10 to 20

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

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

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

You can also see the multiplication table in this format:

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

2. Explain the working principle

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

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

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

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

3. Teach in small chunks

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

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

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

4. Explain the property of commutativity

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

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

5. Find patterns in the table

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

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

6. Repeat

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

7. Play

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

Cards

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

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

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

From the reverse

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

Examples from life

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

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

Poetry

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

8. Don't be nervous

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

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