An easy way to learn the multiplication table for kids is to watch. This simple trick will teach your kids how to multiply in no time! Holidays are not ruined. Other surprising and simple patterns
From experience, all parents have to deal with the study of the multiplication table, regardless of the form of education. Here I will describe the methodology for teaching the multiplication table, which I worked out and tested on my three children.
Of the latest successes - I just went through multiplication with my youngest son (6 years old). In about 2 weeks, he confidently mastered multiplication. And yesterday I was surprised when I was able to answer offhand how much 11 x 11 would be, although we have never taken it apart.
The advantages of the methodology include the fact that I collected all the material in the format of an electronic course. Those. it is easy to use and start learning right away. Initially, I did the technique and the course for myself, but recently I combed my hair so that I could use it.
I will immediately warn you that the materials are not from the textbook and not for any specific program. Everything is aimed purely at mastering a specific skill - the multiplication table.
What do you need to get started
the child must be able to confidently know numbers up to 100 and
confidently add within 100.
Scheme of the technique
What's inside each step
Let's add the same numbers
sum several identical numbers or take the number X several times (2, 5, 3, 1 and 0 times)
Multiplication by calculation
we will tell you what multiplication through addition is (multiplication and 2, 3, 4, 5 by calculation)
Learning the Multiplication Table
- simple cases: we learn multiplication by 2, 5, 10, 9, 1, 0, 3 from the table. First
learning only columns
the sequence is very important here, because:
- the simplest action for a person - doubling
- it is convenient to take five times, because the analogy of 5 fingers is used
- then on 10,
- then by 9 (this is 10 without 1)
- on 1, 0 and 3
Table diagonal: some examples we already know 
Learn about permutations of the order of multiplication. Those. that doesn't change
result. And multiply by 4 
Learning special and difficult cases: there are literally 3 examples left 6x7, 6x8, 7x8 
What is the approach
every step comes from what the child knows well
the increase in difficulty from step to step should be very smooth
the child trains at each step until he masters the skill at the step (required level ~ 70% correct answers)
all activities are divided into small blocks, each is summed up. This motivates the child well, because. it moves from one successful block to the next.
How to apply the technique
you can study according to the textbook, taking into account the steps of the methodology
you can train the child yourself, set him examples
you can start taking the course online (everything is naturally non-commercial)
At the same time, the main thing is not to forget that the multiplication skill must become stable. To do this, you need to repeat the multiplication with the child at least in a week, two and a month.
Then there are a lot of opportunities to develop multiplication skills - quick multiplication methods, multiplication of large numbers, etc. I will try to write something on the development of the multiplication skill in the near future.
In conclusion
I hope this can be useful and help save on calculators :-) Surprisingly, sometimes it is relevant even for high school students who have gaps in this place. If there is a gap or uncertainty in this topic, you should try to close it as soon as possible, because. this skill will be constantly used in the future.
If you have questions or comments on the methodology or its implementation, let's discuss it.
How is your child doing addition and multiplication?
Parents of schoolchildren very often face a rather difficult problem: how to help a child learn the multiplication table? Children study the Pythagorean table in the second grade of elementary school. At this age, mechanical memory works great, so many simply “memorize” the material. But not all children manage to learn the multiplication table in this way. Today, the Internet presents an exhaustive list of various methods that allow you to learn the multiplication table with comfort for the child and with special attention to his individual characteristics.
There are various ways to memorize the Pythagorean table: proverbs, sayings, poems, songs, fairy tales, games, as well as various visual materials. However, no matter which way you choose to study, it is worth remembering one thing: the child must understand the very principle of the multiplication table!
It is important! By the time your child starts learning the multiplication table, he will already know the logic of such an arithmetic operation as addition. First of all, it is worth explaining to the child the process of multiplication. For example, 3 times 4 means to add the number 3 four times, or 3+3+3+3. Use associations, let it be not just the number 3, but three cars or three dolls. The child should understand well the arithmetic operation itself - multiplication. If you explain to a child that, in fact, multiplication is a shorthand for adding a specified number of identical terms.
Only after the child understands the essence of the arithmetic operation, proceed to the study of the table itself.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
| 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |
| 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |
| 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
| 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |
| 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |
| 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |
| 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |
| 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
Learning the multiplication table with your child
Teach your child to understand the Pythagorean table. Explain that when a number from the leftmost column is multiplied by any of the numbers, their product is obtained, which is at the intersection of the desired row and column. When the child learns to easily navigate the table itself, it is necessary to proceed to the most important thing - memorizing the table itself.
Playfully memorize the multiplication table!
Unfortunately, it is rather difficult for many children to approach the issue of memorizing the table with all responsibility. It is much easier to conduct training using the element of the game. It will be much easier for children to remember the information that they really find interesting.
A fairly simple and effective game is an activity with cards. Draw or print with your child various examples from the multiplication table of the form:
- 3x7=?
- 2x4=?
- 5x8=?
There are a lot of options for such a game. For example, your child has learned all the examples of multiplication by 2 and 3. Make only these cards together with the baby, and then dilute them with new ones. Another option for better memorization of the table can be drawing up cards of the form:
- 3x?=15
- ?х2=6
- 10x?=10
This is interesting! Turn on your imagination! It will be much easier for a child, and most importantly, more interesting to remember the material if the cards with examples are bright and colorful. Instead of boring questions, funny little animals or favorite fairy-tale characters of the baby will appear. Dream up, and then your child will be happy to guess what number is hidden behind the noble Puss in Boots or funny Carlson.
Memorizing the multiplication table with a child - the basic rules!
So that it is not difficult for a child to memorize the Pythagorean table, and the information received does not turn into a mess, you need to follow a few simple rules:
- Seeing the Pythagorean table, even the smartest kid can get scared. Explain to the child that there is nothing difficult in understanding this information, and at one time, both mom and dad, and grandparents, taught this table.
- Learn first a simple multiplication, for example, by one. Explain to your child that when you multiply by 1, you always get the same number that we multiplied by 1. For example, 1x1=1, 5x1=5, 10x1=10, etc. Multiplication by ten is also easy to convey to a child: it is the same as adding zero to a number every time. For example, 2x10=20, 3x10=30. The main thing is that the association with the appearance of zero in the number is deposited in the child’s head, and he can solve examples not only on paper, but also in his mind.
- When you have learned and repeated the most simple examples, begin to move with the baby further down the table.
- After each memorization of an arithmetic operation - multiplication by 2,3,4,5,6, etc. do not forget to repeat the material covered with the child (it can be in the form of a game that was described above).
- Very often, a child, having learned multiplication by 2, begins to get lost if an adult asks him: “how much is 2x5”? In such a situation, one must be careful when explaining to the student the communicative rule of multiplication: when the places of factors are changed, the product does not change.
Finger games - learning the multiplication table is fun!
If your child is having a hard time learning the multiplication table. You can use the fingers of a young accountant. A great example would be learning to multiply by 9. Have the child place both hands on the table, palms down. Each finger will represent a number from one to ten. For example, we want to multiply 9 by 4. We count from left to right to 4 - we get the index finger of the left hand. We bend it, and count the number of fingers on the left. There are only 3 of them - that's dozens. Pure fingers on the right - 6 - units. Answer 36. This memorization option will add a bit of magic to the learning process, and your young accountant will definitely be carried away by such an interesting learning process.
association game
Many children have well-developed motor and figurative memory, so it will be easier for them to remember tabular examples using various associations. For example, the number 2 looks like a swan, and the number 1 looks like a gnome with a curious nose. For example, in the case of multiplication 2x1=2, you can come up with the following story: One beautiful swan was very lonely. He wanted to find a friend so much that he looked for him everywhere, everywhere. And then one day he met a dwarf with a funny hooked nose. However, the dwarf was very cunning and treacherous that the swan barely escaped him. And so the swan remained in splendid isolation ...
There are a lot of stories like this. Let the child dream up himself, the main thing is that the story unites two multiplier characters, and the work is the logical conclusion of this plot. The more emotional and exciting the stories are, the easier it will be for the child to remember this or that example.
As soon as the causal relationships are worked out with the help of a fairy tale, the most important thing can be singled out: “The swan met the dwarf, did he make friends with him or was he left alone?” If your child answered everything correctly, then you need to ask him to compose this example in numbers.
Poems, songs, stories
This way of memorizing the multiplication table is suitable for children who perfectly memorize poems and songs. Children can be offered to memorize examples from the multiplication table with the help of verses. An excellent option are the works of A. Usachev "Multiplication" and M. Kazarina "About multiplication". Thus, when solving this or that example, the child will associate with a rhyming line.
No matter how you explain the multiplication table to your child, the main thing is to never get angry with your baby if something is not clear to him! Show patience, as well as your imagination, and then your child will be happy to learn the multiplication table!
The Pythagorean table or multiplication table is a necessary base that a child will need in the future in order to successfully study mathematics and algebra. In addition, it is important in everyday life, but for children of eight years old, learning all these numbers is not such an easy task. For a third-grader, this is a rather large amount of information and it is difficult for him to do it on his own.
Therefore, parents should think about how to learn the multiplication table for a child quickly and easily, so that the child does not just memorize it. But most adults did just that and comprehended it. In today's article, we will reveal the secret of how to learn the multiplication table in 5 minutes a day. After a week of such daily activities, your child will know the Pythagorean table and will be happy to demonstrate his knowledge to you.
How to start learning the multiplication table with a child
Parents who do not care about the literal memorization of the table, which, moreover, may turn out to be short-lived, need to understand that the child is not a robot. In order to remember, he, first of all, needs to understand, and this will require time, patience and goodwill from dad and mom. It is unlikely that a son or daughter will learn the material if there is no certain passion. Therefore, you will have to make an effort and make the learning process not only effective, but also interesting.
To properly allocate your time, which is always not enough, you should divide training into stages, each of which has a pre-set goal:
- Preparation;
- Explanation of the principle of multiplication;
- Memorization with the help of games and improvised materials;
- Repetition of the past.
To help the child penetrate the essence and remember the table will help:
- Cards;
- Images;
- Counting figures, sticks;
- Special programs;
- Cartoons;
- Songs and poems;
- The child's own fingers.
In fact, all these game techniques and methods are very simple, but they allow children to be creative in the learning process. An important point is also a good mood and lack of fatigue - this is the key to quick memorization.
Interesting:
It does not matter who will deal with the child, the main thing is that the parent understands the basic teaching methods well and is not in a hurry with the results. You should never scold a child, even if he made a mistake in the correct answer several times in a row. This discourages the child from the desire for further studies, in fact, meaning the collapse of the parent as a teacher.
Preparation and first lesson
In order to memorize the multiplication table, a child needs only two approaches a day for 5 minutes, and in a week he will remember the table and will gladly demonstrate his knowledge to you. Before starting work, you will need to purchase or print the multiplication table. This refers to the real table of Pythagoras, and not columns with examples of multiplication of different numbers, since they do not give a complete picture of the patterns of action, and it is impossible to logically explain the principle to a son or daughter using these examples. 
By the time of classes, having completed the course of the first and second grades, the child has already mastered addition and subtraction, now he needs to understand what it means to multiply. Some children, just by looking at the original table, can detect a certain symmetry of numbers, and as soon as the comprehension of the pattern comes, they quickly memorize it. For this, it may not even be necessary to use illustrative examples, game techniques.
The principle can be explained by the simplest multiplication of the number 2 by the number 4, that is, add 2 four times - 2+2+2+2=8. But if you have to multiply it by 8 or 9, it is unlikely to seem convenient and reasonable. Thus, an adult needs to state a simple truth to a child in an accessible form - it is easier to multiply than to add, and how to do it correctly. If the educational material is presented clearly and clearly, when looking at the table, the baby will quickly find confirmation. This will be the first step towards assimilation and memorization.
In the future, the child will need to learn how to use the Pythagorean table. There is no particular difficulty in this. You should select numbers from the left and top lines, and find the result at the point where they intersect. An adult should not rush the baby - let him try to correctly find the answers to multiplying the numbers given by the parent.
At the first lesson, do not overwork children with a large number of tasks. As soon as they get tired, attention is diverted, and it is doubtful to expect positive results. So learning should be gradual.
How to learn the multiplication table for a child quickly and easily in 5 minutes a day
Far-sighted parents begin teaching their children addition, subtraction, and even multiplication before school, and often use vivid visual examples, including pictures and flashcards. Indeed, the learning process can be accelerated different ways. For example, with cards. You can make them yourself or download from the Internet and print.
Each number needs to devote at least one day, sometimes more. They start studying with the number 2, so first you need cards with multiplication by 2. When the child has already understood the calculation mechanism and figured out the table, such cards can be given to him in a different order. If the correct answer follows, the card can be postponed, in case of an error, after a while we return to it again so that the baby can correct it himself.
It is important to periodically add new numbers, not forgetting to resort to repetition, so children remember information faster and better.
The benefits of such training are not only in mastering the basics of multiplication:
If the child makes some progress, some parents practice time limits. This is also possible, because the next day you can repeat such a blitz, and, for sure, the kid will beat his own, yesterday's record. In general, it is necessary to accustom a son or daughter to the fact that there should not be any wrong results by the end of the lesson. This will teach them to always achieve their goal.
Since all children are individual, it is desirable to know how to learn the multiplication table for a child quickly and easily using other methods. They are just as effective when done right.
Multiplication table in verses for children. A. Usachev
My child really likes poetry - we constantly teach them (by the way, I wrote about how easy it is to learn poetry with a child), we read. And when, after the 1st grade, for the holidays, we were asked to learn the multiplication table, in addition to the recommendations from this article, we daily read the multiplication table in verse for children by A. Usachev. The child really likes such activities, during which he memorized verses and a table.
What is Multiplication?
This is smart addition.
After all, smarter - multiply times,
Than to add up everything for an hour.
One penguin walked among the ice floes.
Once one - one.
There is safety in numbers.
Once two two.
Two athletes took kettlebells.
It is: two times two is four.
The rooster sat before dawn
On a high pole:
- Crow! .. Twice three,
Two times three is six!
A pair of forks stuck into the pie:
Two by four - eight holes.
They decided to weigh two elephants:
Twice five, we get ten.
That is, each elephant weighs
Approximately five tons.
Met cancer crab:
Twice six - twelve paws.
Twice seven mice -
Fourteen ears!
Octopuses went for a swim:
Twice eight legs is sixteen.
Have you seen such a miracle?
Two humps on the back of a camel.
Nine camels began to be counted:
Twice nine humps is eighteen.
Twice ten is two tens!
Twenty, to put it briefly.
Two bugs drinking coffee
And they broke three cups.
What is broken, do not glue ...
three times three - comes out nine.
He keeps repeating in the apartment all day
Talking cockatoo:
— Three times four,
Three times four...
twelve months of the year.
The student began to write in a notebook:
What is "three times five"?
He was terribly careful:
Three times five - fifteen spots!
Thomas began to eat pancakes:
Eighteen is three times six.
Three times seven is twenty one:
Hot pancake on the nose.
Mice gnawed holes in cheese:
Three times eight is twenty-four.
Three times nine is twenty-seven.
Everyone needs to remember this.
Three maidens by the window
Dressed up in the evening.
The girls measured the rings:
Three times ten is thirty.
Four cute pigs
danced without boots:
Four times four is sixteen bare legs.
Four scientist monkeys
Flipping through books...
Each foot has five toes:
Four times five is twenty.
Went to the parade
Jacket-potato:
Four times six is twenty-four!
Chickens are counted in autumn:
Four times seven is twenty-eight!
Baba Yaga's stupa broke:
"Four times eight" - thirty-two teeth! —
Bezh zhubov she has nothing to eat:
- Four times nine - "thirty six"!
Walked forty forty,
We found cottage cheese.
And divide the cottage cheese into parts:
Four times ten is forty.
The hares went out for a walk:
Five five - twenty five.
The fox ran into the forest:
Five six - thirty comes out.
Five bears from the den
We walked through the forest without a road -
For seven miles jelly slurp:
Five seven - thirty five!
climb centipede
Difficulty on a hillock:
Tired legs -
Five eight - forty.
Cannons stood on a hillock:
Five eight - came out forty.
The guns started firing:
Five nine - forty five.
If you slurp cabbage soup with bast shoes:
Five nine - forty five ...
There will be this bast
Drip everyone on your trousers!
Digging a bed of zucchini
Five dozen patches.
And piglets' tails:
Five ten - fifty!
Six old women spun wool:
Six six - thirty six.
Six networks of six ruffs -
This is also thirty-six.
And caught in the net of a roach:
Six seven - forty two.
Hippo buns ask:
Six eight - forty eight ...
We do not feel sorry for the rolls.
Mouth open wider:
Six nine will be -
Fifty four.
Six geese lead goslings:
Six ten is sixty.
Fools do not reap, do not sow,
They themselves are born:
Family seven - forty nine ...
Let them not be offended!
Once the deer asked the elk:
How old is seven eight? —
The moose did not climb into the textbook:
- Fifty, of course, six!
At seven nesting dolls
Whole family inside:
Seven nine crumbs -
Sixty three.
Seven fox cubs are taught at school:
A family of ten - seventy!
Vacuuming the nose
Elephant carpets in the apartment:
Eight by eight -
Sixty four.
Eight bears were chopping wood.
Eight nine - seventy two
The best account in the world
New Year is coming...
Toys hang in eight rows:
Eight ten - eighty!
Pig pig decided to check:
How much is nine by nine?
- Eighty - oink - one! —
So answered the young pig.
The sandpiper is small, but the nose is:
Nine ten is ninety.
There are ten moles in the meadow,
Each digs ten beds.
And ten ten - one hundred:
The whole earth is like a sieve!
The easiest way to multiply by 9 on your fingers: video
Learning the multiplication table with a child playing with pencils, cubes and fingers
If parents want to teach their child to multiply before they enter school, they need to be helped with visual support with various simple objects.
You can use any bright figures, such as pencils or sticks for counting. They are placed in three pieces in identical cups. The child needs to be explained and shown that the number of all items is equal to the number in one glass, but multiplied by the number of containers.
Another variant - study on the fingers. To do this, the child needs to put his hands on the table and straighten his fingers. Suppose you should multiply 2 by 9. To do this, the baby must bend the second (ring) finger. We look at how many straight fingers are left before the bent and after it - on the second hand. It will turn out 1 and 8, of which 1 is considered as a dozen, and 8 as units. Of course, the correct answer is 18.
Associative learning includes learning short interesting rhymes that will help children remember the table forever. Poets such as Usachov and Kazarina made sure that light and memorable lines of poetry corresponded to the multiplication of each number.
Creation. You can also learn the Pythagorean table by developing the creative inclinations of children, for example, drawing. Learning is similar to using counting sticks, only, instead, dad or mom must draw the right pictures - these can be wagons with berries, cats or geometric figures. A little later, when the child understands the meaning of the solution, he can be given the task to draw one or another example of calculations in the form of a picture.
Of course, you can use tutorials that are widely distributed on the Internet, as well as special cartoons aimed at teaching the basics of multiplication. The main thing is to provide such information in a dosed manner, without overloading the child and preventing him from becoming addicted to the network. Everything, as they say, is good in moderation. 
Useful tips for memorizing the multiplication table
When working with a child, do not forget about the common mistakes that parents often make.
Rules and wishes:
- Scolding a child for making wrong decisions is a sure way to discourage him from learning;
- Children should not be forced to master the material if they are not in the mood, feel unwell, want to sleep, etc.;
- If the child is not set up for classes, you need to try to arouse his interest;
- It is advisable to submit information in small portions, and then repeat;
- Classes need to be interspersed with game moments, understanding that a child's body is able to get tired much faster than an adult;
- Education can be carried out by discussing with the son or daughter the things that interest him;
- If the child makes clear progress, you should praise him, thereby setting him up for further fruitful activity.
To understand how to learn the multiplication table for a child quickly and easily, you need to know well the characteristics of his body and character. Of course, there is also a psychological aspect, which is very important, so parents should understand the desires and aspirations of their child. This does not mean to follow his every whim - it simply respects the needs of a small person.
And you should never compare your children with their peers, emphasizing the success of the latter. In the end, all children are different, and such a statement can offend the child, sowing doubt in his soul about his abilities.
If it so happens that the child cannot understand the principle of multiplication in any way, there is only one way left - just learn the table by heart, there are no other options. Unfortunately, this means that the parents could not correctly convey the essence of the material. In addition, for children, this can become a stumbling block in the study of more complex mathematical multiplication problems in the future.
How to learn the multiplication table with a child quickly by playing: video
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The multiplication table, without exaggeration, is one of the foundations of mathematical science. Without her knowledge, teaching mathematics and algebra will become very difficult, if not impossible at all.
And in everyday life, the multiplication table is in demand almost daily. That is why its development in primary school taking so much time.
However, the study of the Pythagorean table cannot be called easy: the multiplication skill is mastered with difficulty, and it is also not easy for a child to memorize all this considerable mass of numbers.
The task of parents is to help children in learning the multiplication table, making the process interesting and at the same time productive.
Easy Ways to Teach Kids the Multiplication Table
The good old counting material, as well as various “tips” in the form of poems, songs and interesting memorable pictures, have not been canceled either.
Having an idea about the basic teaching methods: memorization, game, visualization - parents are able to independently teach the child the multiplication table.
memorization
The task of "learning a table" involves, among other things, its literal memorization. It has been noticed that it is much easier to memorize material in a poetic form or in the form of a song, especially when it comes to children.
If you arrange and rhyme the multiplication examples, then all the necessary numbers will really be fixed in memory much faster.
You can use any verses (for example, you can learn with your child the words of the song by V. Shainsky and M. Plyatskovsky “Twice two - four”). And parents with fantasy can connect it and come up with their own rhymes, it's easy, for example: "six seven - forty-two, an owl flew to us."
In extreme cases, if the table is no longer remembered in any way, there remains a routine, but proven by more than one generation of schoolchildren, method - to memorize it. However, keep in mind that this method is not at all like the kids.
It should be remembered that memorization cannot be the only method of teaching a child the multiplication table. It is important not only to remember the sequence of numbers, but also to understand the essence of the action itself. This is what will help a child at an older age solve complex multiplication examples.
Visualization
Another way to master the Pythagorean table is its visualization, which involves the use of all kinds of visual materials.
It can be:
- counting materials;
- Pictures;
- and even fingers!
With the help of counting material, whether it be sticks, geometric figures or something else, you can show the child the essence of multiplication (“6 x 5” means “take 6 times 5 objects”).
In addition, the kid can count the figures presented and make sure that the answer is exactly the same as in the Pythagorean table.
With the help of pictures
If a child likes to draw, this is a great opportunity to study the table with the help of pictures.
The principle of operation is approximately the same as in the case of counting material, only instead of laying out 6 times 5 sticks in front of a young mathematician, you can draw directly opposite the example 6 squares / cakes / wagons with 5 dots / cherries / bunnies inside each.
True, it will be difficult to draw whole pictures when multiplying large numbers.
On fingers
A good option would be to study part of the Pythagorean table, namely the column with a nine, on the fingers. Such a kind of life hack will interest any child.
Place your hands in front of you with your palms out and mentally number them from 1 to 10, starting with the left little finger. Tabular examples for multiplication with the number 9 are solved very simply: just bend your finger, the number of which matches the second factor.
So, multiplying 3 by 9, we bend the middle finger on the left hand. The fingers that are located before the bent one (there are two of them) indicate the number of tens, and the rest (there are seven) - the number of units.
In total, we get 27 in the answer. Fast, easy and interesting!
Through educational cartoons and programs
As a means of visualization, of course, you can use educational cartoons, applications on mobile devices and programs on a PC, if there is such an opportunity and parents are not against such a pastime for the child.
Of course, to study such a recalcitrant multiplication table, all means are good, but remember that everything should be in moderation, and do not leave the baby in the care of the gadget in this difficult matter, but rather join it yourself.
A game
Learning in a playful way always attracts kids. Learning the multiplication table is good on the material of the card game. Cards are made of cardboard for each example of a table, a numerical expression is written on one side (5 x 3 \u003d?), And on the other - the answer.
Players take turns drawing cards, solving an example and checking themselves by looking at the back side. If the answer is correct, the card remains with the player, if not, it is returned to the deck. The winner is the one with the most cards at the end of the game.
First steps in learning the table: the easiest numbers and mastering the principle
Some examples from the Pythagorean table are burned into memory almost instantly, while others, no matter how hard they work, do not want to obey. It is logical that you need to start mastering the table with more accommodating numbers.
So, it will not be difficult for a child to remember a column of examples with a one, since the answers will be identical to the changing factor. Next, you can begin to study the column with the number 2, because such a multiplication is easy to illustrate by any means at hand, adding two each time.
After that, the column with four will be well remembered, because in order to multiply by 4, you need to multiply by 2 and another by 2. Experienced parents noticed that children easily master multiplication by 5, since the answers in this column end only in 0 and 5.
Well, with multiplication from 6 to 9 (plus the number 3) you can figure it out a little later, especially since some of them (namely, multiplying these numbers by 1, 2, 4 and 5) will already be mastered. And if you decide to use the multiplication method described above on the fingers, then there will be no problems with the nine.
When the approximate scope of work is outlined, it remains to determine how to explain the essence of multiplication to the baby, so that he understands. To begin with, it is worth telling the child that this mathematical action was invented to speed up and facilitate the calculation.
It would be nice to come up with a bright situation to illustrate this statement. For example: “You have 10 bags and each contains 8 sweets. It will take a few minutes to count the sweets in order. And if you know a tricky way - multiplication - you will spend only a couple of seconds. Usually such motivation is to the liking of children.
The essence of multiplication is simple, it can be explained both visually and with the help of numbers. In the first case, using counting material, explain to the child that multiplication is “taking so many times so many times.”
If it seems to you that the child is more likely to understand the digital notation, tell them that the expression "5 x 6" is a shorthand for the expression "5 + 5 + 5 + 5 + 5 + 5". Thus, multiplication not only facilitates counting, but also makes it possible to briefly write down the sum of identical terms.
And this means that homework in mathematics will take much less time - what is not a great reason to memorize the table?
How to fix the result?
The best way to master a skill is to put it into practice. In order for the development of the Pythagorean table to be successful, do not forget to put the new knowledge of the baby into action.
On a walk, ask them to tell you how many wheels four cars have, how many legs five cats have. At dinner, find out how many plates to put on the table if each of the three diners needs two pieces. From time to time repeat the cases of tabular multiplication in verses.
Many parents advise to memorize the multiplication tables and, outside school hours, simply hang Pythagorean tables in different places at home so that the child can repeat the material at any time.
in a good way consolidation of knowledge is also a game. Use the cards mentioned above for her. Play with the whole family, let adults sometimes make mistakes on purpose so that the child can correct them, demonstrating their knowledge.
How to help your child learn and remember information faster?
Mastering the multiplication table is not a very fast process. However, at school, the number of hours for any material is limited, and, of course, the teacher in the next lesson (and mathematics lessons in elementary school are usually daily) will already demand a certain result.
Therefore, parents need all possible ways help the child understand and remember the information received.
When studying the Pythagorean table with the baby, pay attention to the fact that many examples are repeated in it, only the numbers in the first part of the numerical expressions are reversed: 3 x 7 = 21 and 7 x 3 = 21.
Having understood this, the child will quickly realize that he will not have to learn about half of the table at all, and in fact, the number of examples that need to be remembered is much less than it seems at first glance! For clarity, repeating examples can be highlighted in the table with the same color.
You can draw the attention of the child to some Interesting Facts, discovered during a detailed study of the Pythagorean table and associated with the reduction of numbers (that is, following the method of Pythagoras himself, by adding the numbers that make up the two-digit numbers of the table).
So, in the column with nine, the sum of the digits of each two-digit number in the answer will be 9. If you reduce the numbers in the column with the number eight in this way, you get a sequence from 8 to 1 in order. In a column with a six, the sequence 6, 3, 9 will be repeated three times, and in a column with a triple - 3, 6, 9.
You can show the little conqueror of big mathematics the following trick: if you take the first answer in the column with nine as 09 (and not just 9), then the numbers in the answers will line up in two columns, and the left one will be a series of numbers arranged in order from 0 to 9, and the right one - from 9 to 0.
It will be nice if you can provide the baby with a multiplication table in the form of a square, along the edges of which numbers from 1 to 9 are written, and inside the results of their multiplication are recorded. By drawing lines from the factors above and to the left, at their intersection you can see the desired number.
It is important to explain to the child that the result of a numerical expression can be found in any way: you can remember the result, or you can count on your fingers or apply the knowledge of “tricks”, in extreme cases it is even possible to quickly perform addition.
Or, for example, if you forgot how much it will be 9 x 3, then how much will it be 3 x 9, you will surely be able to remember? The ability to use different methods to solve a problem will be useful to the baby in life.
How to teach a child to deal with complex examples?
Before proceeding to complex examples, you need to make sure that the child knows the source material by heart - the Pythagorean table. If you managed to cope with this, you can start multiplying the form of a two-digit number by a one-digit number.
Explain to the child what is necessary in this case:
- Write the numbers in a column, two-digit - on top.
- Multiply by a single number, first two-digit units, then tens (further, you can increase the capacity of the first multiplier, mentioning that each larger digit is multiplied after the smaller one);
- If, when multiplying one digit by a single-digit number, a two-digit number is obtained, then a number indicating the number of units of the resulting number is written under the bar, and the number indicating the number of tens is written over the next digit of the first multiplier and added to the number obtained by multiplying this digit by a single-digit.
It sounds complicated, but the example is much simpler. After some time, not without the help of the school curriculum, the kid will master this action, and will be able to move on to more complex calculations. Remember that it is not worth it to specifically ask the child too difficult tasks - everything has its time.
Interest, motivation, play - this is what is at the forefront in education today, especially when it comes to young children. It has been proven that if a child is passionate about the material, he learns it much faster and better.
Cramming is a good option, but its result is often short-lived: after writing an important test or passing an exam, we are happy to forget what we repeated day and night a couple of days ago. That is why it is important to make the study of complex material, such as the Pythagorean table, interesting for children.
There are different ways to do this:
- motivation - an explanation of where the superpower to multiply numbers comes in handy for a child and how much better it is to quickly multiply them than to add them slowly;
- stimulation, in other words, the promise of something pleasant when a result is achieved (but remember that this method cannot be abused, otherwise one fine day you simply will not materially pull another “pretty girl”);
- praise: for every even the smallest step forward, the child needs to be praised, and significant advances should be well encouraged with an exciting walk, playing together or going to the cinema or museum, and at the same time you can repeat a couple of examples;
- learning in a playful way: use not mathematical dictations or tests to test the child's knowledge - they are enough for him at school - but games (the same card or computer games). Or arrange a family-wide educational quiz or even a hidden object quest with the help of hints, which can only be obtained by correctly solving the example.
Do not forget that it is impossible to load the baby with an excessive amount of material in one lesson, in the end the child will get bored and will not learn even half, and if he learns, he will have time to forget. Let your home lessons not be too long, then the multiplication will not have time to bother the student.
It is important to take breaks during classes so that the baby can warm up and change the type of activity. And in order not to shy away from the topic, you can hold a mathematical physical minute: the parent throws the ball to the child with a question, for example, “Five five -?”, He catches and throws it back, voicing the answer.
What mistakes are important to avoid when working with a child?
Memorizing the multiplication table is not an easy task. The efforts of children do not always bring results immediately, and the patience of parents and grandparents is not unlimited. However, by applying the ability to think in time, we can protect ourselves and the child from our own rash words and actions.
So, in no case should you:
- rush the child if, in your opinion, he solves the example for too long (if, of course, he really solves it, and is not distracted by drawing or something else);
- to scold the baby, and even more so to give him impartial assessments and nicknames - this will not add motivation to him, but a reluctance to engage in it may arise;
- expect a quick assimilation of a large amount of material and be upset when this does not happen (and this will not happen);
- compare the success of the child with the success of his friends, classmates and brothers (in any case, one of the children will have to be elevated in front of the other, which is unlikely to make the relationship between them better).
Every parent can help a child learn the multiplication table. It is enough to show a little patience, imagination and interest - then the work will go like clockwork. Studying with interest, and not boring boring material from under the stick, children will more readily and quickly master multiplication.
Every parent comes across the moment when his kid goes to gnaw at the granite of science and faces the basics of mathematics. Then a natural question arises: how to remember the multiplication table quickly and easily? After all, children are often restless and inattentive, it is hard for them to learn dozens of examples so easily. That is why a wide variety of life hacks are used to help you learn the multiplication table and move towards new knowledge.
Lifehack #1
What should be explained to the child in the first place?
- Multiplying by 1, the number does not change.
- Multiplying by 5 the examples will end in 5 if the result is odd, or 0 if the result is even.
- Multiplying by 9 you need to multiply by 10, that is, add 0 to the number, and then just subtract the number that is being multiplied. Example 5*9=50-5=45.
- Multiplying by 10, you just need to "add" to the multiplied figure 0.
- Multiplying by 2, you can double the number in your mind.
- Rearranging the factors does not affect the final result, which eliminates the need to learn the same examples twice.
Life hack number 2 - poems and songs
The game form of learning is very effective. Learning the multiplication table with the help of funny rhymes and songs, which are full on the Internet, is very simple. The child will not learn boring and incomprehensible combinations of numbers, but funny lines. For example: “seven by eight is forty-eight” or “Toads said “qua”, eight by nine is seventy-two.”
Find those verses and songs that your child will like and use them. You yourself will not notice how quickly the student will begin to make progress.
Life hack number 3 - paper flowers
Cut out a neat flower so that each petal is bent. In the circle in the middle, write the number by which you need to multiply, and on each of the petals - the numbers from 1 to 10. The correct answers should be located on the back of each petal.
The game with flowers will allow not only to quickly learn the multiplication table, but also teach the child to immediately check himself. So he will be able to train on his own, and not only under the supervision of his parents.
Life hack number 4 - working with cards
This game is more fun to play with the whole family. We cut out cards from cardboard (the more, the better), on each of which we write an example for each number, but without an answer. Examples can and should be repeated. Each participant in turn pulls out a card, looks at the example and names his answer. If it is correct, then the card goes to the player. If not, it is returned to the deck. The one who guesses more examples (has more cards) is the winner.
Such a game helps not only to have fun, but also to repeat the examples of the multiplication table over and over again. In order for the child not to lose the excitement and desire to play, it is necessary to assign some kind of pleasant reward for the winner.
If it is not possible to play with the company, then you can play with the child one on one, but for a while. Then the kid will have a desire to break the record. Especially if for him, again, some kind of reward will be assigned.
When the child is good at solving examples, you can make new cards on which there will be only answers. The task of the players in this case will be to name the example itself.
Life hack number 5 - the Pythagorean table
There are many variations of color accents in this chart with patterns highlighted. Pictures enlarge by clicking. You can print, just uncheck the "image to frame size" checkbox.
For an initial study, it is better to use the Pythagorean table, since the answer is easy to find at the intersection of lines vertically and horizontally. This is much simpler and clearer for a child who encounters multiplication for the first time. In addition, it has long been proven that students 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 top line. Where they intersect is the correct answer. It's very simple, right?
