Every parent has a moment when his child sets out to gnaw on the granite of science and is faced with the basics of mathematics. Then a logical question arises: how to memorize the multiplication table quickly and easily? Children are often restless and inattentive; it is difficult for them to easily learn dozens of examples. That is why a wide variety of life hacks are used to help you learn the multiplication tables and move towards new knowledge.

Lifehack No. 1

What should you explain to your child first?

1. Multiplying by 1, the number does not change.
2. Multiplying by 5, examples will end in 5 if the result is odd, or 0 if it is even.
3. Multiplying by 9, you need to multiply by 10, that is, add 0 to the number, and then simply subtract the number that is being multiplied. Example 5*9=50-5=45.
4. Multiplying by 10, you just need to “add” 0 to the number being multiplied.
5. Multiplying by 2, you can double the number in your head.
6. Rearranging factors does not affect the final result, which eliminates the need to study the same examples twice.

Life hack No. 2 – poems and songs

The game form of learning is very effective. It’s very easy to learn the multiplication tables with the help of funny rhymes and songs, which are full of them on the Internet. The child will not learn boring and incomprehensible combinations of numbers, but funny lines. For example: “seven by eight is forty-eight” or “The frogs said “kwa”, eight by nine is equal to seventy-two.”

Find those poems and songs that your child will like and use them. You yourself will not notice how quickly the student begins to make progress.

Life hack No. 3 – paper flowers

We cut out a neat flower so that each petal bends. In the circle located in the middle, we will write the number that needs to be multiplied by, and on each of the petals - the numbers from 1 to 10. The correct answers should be located on the back of each petal.

Playing with flowers will not only allow you to quickly learn the multiplication table, but will also teach your child to immediately test himself. This way he will be able to train independently, and not just under the supervision of his parents.

Life hack No. 4 – working with cards

This game is more fun to play with the whole family. We cut out cards from cardboard (the larger the better), on each of which we write an example for each number, but without an answer. The example can and should be repeated. Each participant takes turns drawing a card, looking at the example and saying their answer. If it is correct, then the card goes to the player. If not, it returns to the deck. The one who guesses the most examples (has the most cards) is the winner.

Such a game helps not only to have fun, but also to repeat multiplication table examples over and over again. To ensure that the child does not lose excitement and desire to play, it is necessary to assign some pleasant reward to the winner.

If it is not possible to play with a group, then you can play with the child one on one, but for a while. Then the baby will have a desire to break the record. Especially if, again, some kind of reward is assigned for it.

When the child solves the examples well, you can make new cards that will contain only the answers. The players' task in this case will be to name the example itself.

Life hack No. 5 – Pythagorean table

There are many accent color options in this pattern highlighting chart. Pictures enlarge by clicking. You can print, just uncheck the “image to frame size” checkbox.

For initial study, it is better to use the Pythagorean table, since the answer is easy to find in the intersection of the lines vertically and horizontally. This is much simpler and clearer for a child who is encountering multiplication for the first time. In addition, it has long been proven that schoolchildren perceive visual information better.

First of all, it is necessary to explain that the numbers from the left column are multiplied by the numbers from the top row. Where they intersect is where the correct answer is hidden. It's very simple, right?

If you are puzzled by the question of how to help your child learn the multiplication tables, our article is for you. This table is not so scary if you know which way to approach it. Revealing secrets!

sovetclub.ru

– Five five – twenty five?
- Absolutely right!

Twice two is four, everyone in the whole world knows this! Everyone may know it, but the multiplication table doesn’t end there, there are more complicated options, and you can’t get by with a simple rhyme.

A rhetorical question

Having graduated from school and, due to my professional activities, not particularly having to deal with complex mathematical calculations, I somehow caught myself thinking that the results of multiplication from a banal table, which all schoolchildren are simply obliged to know as “Father,” do not come to mind so quickly anymore. our". Hmm... maybe it’s not so necessary to learn the multiplication table in the age of calculators and special computer programs that will give the desired result in a matter of minutes?

Nowadays you will no longer meet an accountant with accounts or a student with a slide rule, and you can “estimate” the change in a store using your mobile phone. Maybe this multiplication table? Why clutter your brain, in case something important doesn’t fit in? Let's leave this question rhetorical, let every adult answer it himself. Now we are talking about something else.

A second-grader sheds burning tears (he may not shed them, but he still experiences difficulties), vainly memorizing “six eight – forty eight.” No parent can look at such suffering with indifference, so we suggest learning the multiplication tables together!

How to prepare your child to learn the multiplication tables?

My mother-in-law, who worked at the school for many years, suggested a simple way to prepare a child for learning the multiplication tables. It is suitable even for preschoolers.

I hope you already understand what I'm getting at. Yes! Without noticing it, the child is ALREADY learning the multiplication table, it just doesn’t look as scary as the impregnable columns of numbers and arithmetic operations, looking militantly and menacingly from the pages of textbooks and winking ominously from the cover of math notebooks.

Kindergarten teachers and school teachers, as a rule, teach children to count in twos, fives, and tens, but things don’t go further than that, and in vain. The method is really excellent, proven and effective. Try it!

Multiplication table secrets: how to avoid cramming

kapitoshi.ru

Here is a multiplication table. Ten columns with ten examples each! Horror! A hundred rules to memorize? Don’t panic yourself and don’t scare poor Dunno. In fact, there are MUCH fewer rules.

You don’t have to cram the first column of examples, everyone already knows that a number multiplied by one is equal to itself, and multiplying by 10 is as easy as shelling pears, we add a zero to tens, and there are so many things to do. Now you have not 100, but 80 examples. Agree, it doesn't look so scary?

So... Next, explain to the child that changing the places of the multipliers does not change the result: 5 x 2 - exactly the same as 2 x 5. Any first grader knows that changing the places of the terms does not change the sum - the same law applies here. And now you don’t have 80 examples to cram, but only 36. A significant difference, isn’t it?

The child is excellent at adding identical numbers. For example, 2 + 2, 5 + 5. Explain to him that adding two identical numbers is the same as multiplying by 2. Here are a couple more examples in the multiplication table without cramming. We know how to fold!

kakchto.com

Next, we remove easy examples from the cramming list, such as “twice two is four,” “five five is twenty five,” “six six is ​​thirty six.” You can sing a well-known children's song and consider the multiplication table in your pocket. There will be very little left that really needs to be memorized.

In fact, only 15 examples out of a hundred are subject to cramming.

How do you like it? Can we handle it?

The secret of the 9 multiplication table

Try multiplying by 10 and subtracting the excess! It's much easier this way, you'll see.

razvitiedetei.info

Here you can cheat a little and take advantage of this interesting feature. Write down the multiplication table for 9 in a column, and enter the numbers in the answers as follows: from 1 to 9 from top to bottom (“we don’t write 0”) and from 9 to 1 in the opposite direction. Check it out if you don't believe me! This is true!

And also You can multiply by 9 on your fingers! And there's nothing wrong with that. See how it's done.

nnm.me

Place both hands on the table and number your fingers (you can put them on a piece of paper and sign on top). How to multiply 3 by 9, for example? Bend the third finger on your left hand and see what happens. Two fingers on the left are 2 tens, 7 fingers to the right of the curved one are 7 ones. Total – 27!

Let's check again how this works using the example of 7 x 9. Bend the seventh finger (counting from left to right). Everything on the left is tens, everything on the right is ones. We count fingers - 6 tens and 3 ones. Hooray! 7 x 9 = 63. That's right!

Multiplication on fingers: video

It turns out that you can multiply any examples from the multiplication table on your fingers. Perhaps the video option will be useful to you. Look carefully, everything is not as complicated as it seems at first glance.

A little about other ways to memorize the multiplication tables

1. Poetic multiplication table

Poems will help you reinforce the multiplication table. We recommend A. Usachev’s book “Multiplication Tables in Poems” or similar books by other authors. It is unlikely that learning all one hundred quatrains by heart is easier than memorizing examples, but in especially “hopeless” cases, verses can come in handy, even just a picture in a book can help remember the necessary answers.

2. Musical multiplication table

Audio CDs and wall posters are also options for learning the multiplication tables.

3. DIY poster

Anyone can print or buy a ready-made poster if they wish. And you try to make a multiplication table with your child with your own hands. The result will surprise you! As long as an inquisitive and diligent student writes down all one hundred examples, he will learn them by heart without any cramming. Let the poster hang in a prominent place and be an eyesore! This is better than daily reminders: “Go review your multiplication tables.”

4. Examples from life

It is important to find your own approach to each child. Perhaps it will be easier for a boy to remember the multiplication table if he gives an example from life: “How many wheels do three cars have?” Girls will understand this example more clearly: “How many rubber bands do you need to braid two braids for three dolls?”

Dear readers! Tell us how your children became friends with the multiplication table. Perhaps you have your own secrets on how to help your child remember the multiplication tables? We are waiting for your comments, perhaps they will help other parents.

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. She looks like this:

You can also see the multiplication table in this format:

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

2. Explain the working principle

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

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

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

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

3. Teach in small chunks

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

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

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

4. Explain the property of commutativity

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

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

5. Find patterns in the table

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

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 multiplying by 9, write down a series of answers in a column: 09, 18, 27, 36, 45, 54, 63, 72, 81, 90. You need to remember the first and last number. All the rest can be reproduced according to the rule: the first digit in a two-digit number increases by 1, and the second decreases by 1.

6. Repeat

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

7. Play

Don't just use standard methods. Learning should captivate and interest the child. Therefore, use visual aids, play, use different techniques.

Cards

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

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

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

From the reverse

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

Examples from life

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

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

Poetry

Rhyme will help you remember even complex examples that are difficult for a child. Come up with simple poems on your own. Choose the simplest 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.

Schoolchildren find the table boring and useless. Children often get angry and upset when trying to figure out a set of numbers that is incomprehensible to them. Parents can make learning easier and fun by preparing ahead of time.

The main rule in learning the multiplication tables is to interest the child. Like adults, they perceive information differently. Some children like to learn poems and songs. Others can sit quietly with their parents at the table and look at the Pythagorean table.

How to teach a child the multiplication table (picture)

Help your child remember the multiplication table easily:

• Cards;
• Counting figures, sticks;
• Special programs for tablets and phones;
• Educational videos and cartoons;
• Poems and songs;
• Images;
• Child's fingers.

Game methods are captivating and give quick results. It is better to start classes in a good mood, when the child is ready to study.

Learning the multiplication tables: life hacks and videos

It is important to understand how a child can more comfortably perceive information so that the process does not turn into “cramming.” Everything is very simple:

Auditory children They learn new things better through conversation. They enjoy learning numbers by repeating examples out loud. A good option to remember the multiplication tables is to learn poems, songs or watch educational videos.

Learning the multiplication table (video)

Visual child learns more easily if vision and imagery are involved. They absorb information with the help of bright drawings, coloring games, which have large colored fonts and numbers.

Multiplication table coloring game (picture)

Also, with a visual child, you can watch educational cartoons in which your favorite characters act as a teacher.

Multiplication table by 9 with Fixies (video)

Kinesthetic children learn through the sensations and feelings they have when coming into contact with new objects and information. In this case, you can try the card method.

Learning the multiplication table using cards (video)

It's important to consider how your child learns best so that learning times tables will be fun and easy.

How to learn the multiplication tables in 5 minutes a day

Kukina Ekaterina Georgievna

mathematics teacher

You've probably heard the opinion more than once that the level of mathematics education is falling.

When my children were in second grade, I clearly understood why the level of mathematics education at school was falling. It is in the second grade, when laying the very foundation of mathematical education, that such a gigantic irreparable hole appears, which cannot be supported by any crutches in the form of calculators.

Namely, the main problem is in the multiplication table. Look at the checkered notebooks that your schoolchildren have.

I went shopping for a long, long time looking for notebooks. And all the same, for everyone - this is the picture.

Multiplication table (picture)

There are even worse notebooks (for high school students), in which there are no multiplication tables, but there are a bunch of meaningless formulas.

Well, why is this notebook bad? An unsuspecting parent sees that there is a multiplication table on the notebook. It seems like you’ve had multiplication tables on your notebooks all your life? What's wrong?

But the problem is that the notebook does NOT contain the multiplication table.

The multiplication table, my dear readers, is this:

Sometimes this same table is even called the beautiful word “Pythagorean table”. You don't have to take the top and left columns, just the main rectangle.

Firstly, this is a table. Secondly, she is interesting!

No child in his right mind would look at examples written out in columns.

Not a single child, no matter how brilliant he may be, will be able to find interesting features and patterns in the written examples.

Well, in general, when the teacher says: “learn the multiplication table,” and the child doesn’t even see the table in front of him, he immediately understands that mathematics is a science where ordinary things are named somehow differently and you need a lot, a lot cram, but it’s impossible to understand anything. And in general, we must do it “as it is said,” and not “as it makes sense.”

Why is the Pythagorean table better?

Firstly, there is no garbage and information noise in the form of the left side of the examples.

Secondly, you can think about it. It’s not even written anywhere that this multiplication is just a table.

Thirdly, if it is always at hand and the child constantly bumps into it, he willy-nilly begins to remember these numbers. In particular, he will never answer the question “seven and eight” with 55 - after all, the number 55 is not and never was in the table!

Only children with abnormal memory are able to remember columns of examples. In the "table" you need to remember much less.

In addition, the child automatically looks for patterns. And he finds them himself. Even such patterns are found by children who do not yet know how to multiply.

For example: numbers that are symmetrical relative to the diagonal are equal. You see, the human brain is simply determined to look for symmetry, and if it finds and notices it, it is very happy. And what does it mean? This means that rearranging the places of the factors does not change the product (or that multiplication is commutative, to put it more simply).

Pythagorean table: multiplication (picture)

You see, the child notices this himself! And what a person came up with himself, he will remember forever, unlike what he memorized or was told.

Remember your math exam at university? You forgot all the theorems of the course, except for the one you got, and you had to prove it to the evil teacher! Well, that is if you didn’t cheat, of course. (I'm exaggerating, but it's almost always close to the truth).

And then the child sees that he can not learn the whole table, but only half. If we already know the line of multiplication by 3, then we do not need to remember “eight by three,” but just remember “three by eight.” Already half the work.

And besides, it is very important that your brain does not accept dry information in the form of some incomprehensible columns of examples, but thinks and analyzes. Those. is training.

In addition to the commutativity of multiplication, one can notice, for example, another remarkable fact. If you point at any number and draw a rectangle from the beginning of the table to that number, then the number of cells in the rectangle is your number.

Pythagorean table: multiplication (picture)

And here multiplication already takes on a deeper meaning than just an abbreviated notation of several identical terms. It also makes sense for geometry - the area of ​​a rectangle is equal to the product of its sides)

You have no idea how much easier it is to divide with such a table!

In short, if your child is in second grade, print out this correct multiplication table for him. Hang a large one on the wall so he can look at it when he does his homework or sits at the computer.

And print and laminate a small one for him (or write on cardstock). Let him carry it to school with him, and just keep it conveniently at hand. (it wouldn’t hurt to highlight the squares diagonally on such a table to make it easier to see)

My kids have this one. And it really helped them in second grade and still helps them a lot in math lessons.

Pythagorean table: multiplication (picture)

Honestly, your average math score will immediately increase, and your child will stop whining that math is stupid. And in addition, it will be easier for your child in the future too. He will understand that he needs to use his brains and not cram. And not only will he understand, he will also learn to do it.

And I repeat: there is nothing wrong with the examples in columns. And the amount of information they contain is the same as in the “table”. But there is nothing good in such examples either. This is informational garbage, from which you will not immediately find what you need.

Praise more often

Come up with ways to encourage your child. These can be pleasant little things that make him happy.

Find an approach if the child is not in the mood

Forcing people to study, shouting, or completely depriving them of entertainment - such methods discourage any desire to study. It makes sense to calmly explain the importance of activities and motivate the child.

Learn the multiplication table gradually

When a child first sees how many numbers he needs to remember, a protest arises. It is better to study at a comfortable pace with rest breaks.

Remember that every child is an individual

As soon as children are compared with friends or classmates, they lose the desire to do anything. It must be remembered that each child has his own pace of learning and the caring attitude of parents is of great importance.

Saying that mistakes are normal

At the first failures, children lose interest and do not want to continue classes. It is important to explain that without mistakes there are no good results. Everything will definitely work out.

Now you know everything about how to teach your child the multiplication tables in different ways to make the stuttering process a joy.

With the best free game you learn very quickly. Check it out for yourself!

Learn multiplication tables - game

Try our educational e-game. Using it, tomorrow you will be able to solve mathematical problems in class at the blackboard without answers, without resorting to a tablet to multiply numbers. You just have to start playing, and within 40 minutes you will have an excellent result. And to consolidate the results, train several times, not forgetting about breaks. Ideally - every day (save the page so as not to lose it). The game form of the simulator is suitable for both boys and girls.

Result: 0 points

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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 in a column (mathematics video)

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