It's no secret how important it is to know the multiplication and division tables, in particular when performing arithmetic calculations and solving examples in mathematics.

However, what if the child is frightened by this huge set of numbers, called the "Multiplication and Division Table", and even knowing it by heart seems to be a completely overwhelming task?

Then we hasten to calm down - Learn all multiplication table very simple! To do this, you need to remember only 36 combinations of numbers (a bunch of three numbers). Here we do not take into account multiplication by 1 and 10, since this is an elementary action that does not require much effort in memorization.

Description of the online simulator

This simulator works on the basis of a specially developed algorithm for increasing the complexity of examples: starting with the most simple numbers"2 x 2", gradually increasing the difficulty to "9 x 9". Thus, smoothly luring into the learning process.

Thus, you will have to memorize the multiplication table in small portions, which will significantly reduce the load, since children will direct their attention to just a few examples, forgetting about the entire "large" volume.

The simulator has a settings menu for choosing the mode of studying the table. There is a choice of action - "Multiplication" or "Division", the range of examples "Entire table" or "By some number". All this is the extended functionality of the site and is available after payment.

Each new example accompanied by help tip, so it will be easier for the child to start his study and memorize new combinations unknown to him.

If, in the course of training, any example causes difficulty, you can quickly remind yourself of its result by using additional hint, this will help you better cope with memorizing difficult examples.

Percentage scale will quickly make you understand what level of knowledge of the multiplication table you have.

An example is considered fully learned if the correct answer was given. 4 times in a row... However, upon reaching 100% , we urge you not to quit studying, but to return the next day and refresh your knowledge by re-going through all the examples. After all, it is regular classes that develop memory and strengthen skills!

Description of the online simulator interface

Firstly, the simulator has a “panel quick access», Which includes 4 buttons. They allow you to: go to home page site, enable or disable sound signals, reset learning outcomes (start learning over again), and go to the reviews and comments page.

Secondly, this is the basic structure of the program.

Above all is percentage scale, showing the approximate level of knowledge of the multiplication table.

Below is example field, to which you need to answer. During the answer, it will change its color: it will turn red - if an incorrect answer was given, green - if it is correct, blue - after using the hint, and yellowish - when showing a new example.

Next is message line... It displays text information about errors, correct answers, as well as help and additional tips.

At the end is screen keyboard, containing only the buttons necessary for the operation: all the numbers, "backspace" - if you need to correct the answer, the "Check" and "Additional hint" buttons.

We are confident that this Multiplication Table in 20 Minutes simulator will help.

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

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

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Where to start

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

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

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

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

Several learning techniques

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

Pythagoras table

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

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

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

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

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

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

Studying by cards

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

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

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

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

The learning process is best structured in this way:

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

Features of the study

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

Multiplication by 10 and by 1

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

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

Multiplication by 2

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

Table for 4

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

Multiply by 3

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

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

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

Multiplication by 5

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

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

Table for 9

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

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

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

Multiply by 6, 7, 8

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

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

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

It is better to conduct training when the little student is in the right mood and, as it were, playing with him. Learning the table in a playful way will bring much more benefit than memorizing it in one color, regardless of the class in which the multiplication takes place.

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

For work, we need a 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 from 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 this chart.

2. Explain how it works

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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 memorized or what someone else told him. Therefore, try to make the study of the spreadsheet an interesting game.

When they start learning 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 - 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 figure out the structure of the table itself. Show that the numbers from the left column are multiplied by the numbers from top line, and the correct answer is at the place of their intersection. Finding the result is very simple: you just need to move your hand over the table.

3. Teach in small portions

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You don't have to try to learn everything in one sitting. Start with columns 1, 2, and 3. This will gradually prepare your child to learn more complex information.

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

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

4. Explain the property of commutativity

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

It will become clear to the child that in fact he needs to learn not all, 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 make it easier to remember. Here is 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, assign 0 to half of the number, if odd - 5.
3. All 10 examples end in 0 and start with the number we are multiplying by.
4. Examples of 5 are half as many as 10 examples (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 the 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 others can be reproduced according to the rule: the first digit in a two-digit number is increased by 1, and the second is decreased by 1.

6. Repeat

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Repeat more often. Ask in order first. When you find that your answers are confident, start asking randomly. Watch the pace too: first, give yourself plenty of time to think, but gradually increase the pace.

7. Play

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Use more than standard methods. Education should captivate, interest the child. Therefore, use visual aids, play, use different techniques.

Cards

The game is simple: prepare cards with multiplication examples without answers. Stir them while the child pulls out one at a time. If he gives the correct answer, put the card aside, the wrong one - return it to the pile.

The game can be varied. For example, give answers on time. And every day, count the number of correct answers 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 whole stack of examples ends. Then, for each wrong answer, you can entrust the child with a task: tell a poem or clean up things on the table. When all the cards are solved, present a small gift.

From the opposite

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

Real life examples

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

You can also use visual aids: counting sticks, pencils, cubes. For example, take two glasses, each with 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

The rhyme will help you remember even complex examples, which are not given to the child in any way. 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 and make the same mistakes. Here is a list of things that shouldn't be done under any circumstances:

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. Use 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 to everyone.
4. Learn everything at once. It is easy to frighten and tire a child with a large amount of material. Learn gradually.
5. Ignore successes. Praise your child when he completes tasks. At such moments, he has a desire to study further.

Multiplication table.
How to learn the multiplication table - thousands of schoolchildren and their parents are racking their brains over this question year after year.
The games in this section are intended for children to learn the multiplication table with pleasure, willingly and without any compulsion. Games will introduce you to the multiplication table, the material is given in a simple, exciting and funny way. Solving funny problems, examples for multiplication, children will not only get necessary knowledge, but they will also find something to fill their leisure with. Learning by playing!

It just so happens that the multiplication table is very important. She helps in various calculations, without mastering it, it is not possible in the future to study well at school. And as an adult, you will often use it. 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 table. Play >>

Tigers also learn the multiplication table 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 have to plunge 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 are ready to go on an underwater adventure, then just go ahead!

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

Space multiplication table
Here you can go on an unusual journey. Explore the universe on a spaceship and study the multiplication table.

Accurate shooter
Here they shoot from a bow at targets. Choose the one that will answer the multiplication table example. Be the tags and hit the bull's-eye!

Tests for knowledge of the multiplication table
You can use the game data to test yourself if you have learned the multiplication table well.
Solve examples, test your knowledge.

Multiplication table game

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

Multiplication and division problems

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

Where did the multiplication table come from?

The world's oldest multiplication tables were found during excavations of the cities of Ancient Mesopotamia. They were written in cuneiform 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 has appeared independently in different places.
The multiplication table has another name - the Pythagorean table. Pythagoras is a famous Greek mathematician (570-490 BC). In European culture, the authorship of the multiplication table is attributed to him. But there is no documentary or any other clear evidence of this, as well as many other things that are attributed to Pythagoras. The fact is that during his long and fruitful life (80 years), Pythagoras did not leave to descendants any works or treatises (or they simply did not survive). This is one of the main reasons why Pythagoras' authorship of great discoveries and achievements is being questioned.

Where and how the multiplication table is studied.

For the first time in the school curriculum, the multiplication table was introduced in England at the end of the Middle Ages. True, it was the multiplication table to 12, which, by the way, young British people go through to this day. , which is associated, among other things, with the units of the English system of measures of length (1 foot = 12 inches) and money circulation (which existed before 1971: 1 pound sterling = 20 shillings, 1 shilling = 12 pence).
But in India, students are still cramming the original version of the table - up to 20.
In Russia, the multiplication table is usually studied at the age of 8. But in English schools, the multiplication table must be learned by the age of 11 years.

The multiplication table trains your memory well!

Yes, it really is: the multiplication table is a great memory trainer. But, like any other workout, it must be regular in order to achieve a good result. Learn the table gradually and do not try to cover all the numbers at once. If you want to learn the multiplication table 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 verse.
What is Multiplication?
It's a smart addition.
After all, smarter is to multiply once,
Than putting it all together for an hour.
1x1
One penguin was walking among the ice floes.
Once one - one.
1x2
There is safety in numbers.
Once, two, two.
2x2
Two athletes took weights.
This is: two times two - four.
2x3
The rooster sat down before dawn
On a high pole:
- Kukareku! .. Twice three,
Twice three - six!
A pair of forks stuck into the cake:
Two by four - eight holes.
2x5
We decided to weigh two elephants:
Twice five - we get ten.
That is, each elephant weighs
Approximately five tons.
2x6
Met crab with cancer:
Twice six - twelve paws.
2x7
Twice seven mice -
Fourteen ears!
2x8
The octopuses went to swim:
Twice eight legs - sixteen.
2x9
Have you seen such a miracle?
Two humps on the back of a camel.
Nine camels began to be reckoned:
Twice nine humps - eighteen.
2x10
Twice ten - two dozen!
Twenty, to put it briefly.
3x3
Two insects drank coffee
And they broke three cups.
What is broken cannot be glued together ...
three times three - nine comes out.
3x4
All day he repeats in the apartment
Talking Cockatoo:
- Three times four,
Three times four ...
Twelve months a year.
3x5
The schoolboy began to write in a notebook:
How much is "three times five"? ..
He was terribly neat:
Three times five - fifteen spots!
3x6
Foma began to eat pancakes:
Eighteen - three times six.
3x7
Three times seven - twenty one:
There's a hot pancake on my nose.
3x8
The mice gnaw holes in the cheese:
Three times eight is twenty four.
3x9
Three times nine - twenty seven.
Everyone should remember this.
3x10
Three maidens by the window
Dressed up in the evening.
The maidens measured the rings:
Three times ten - it will be thirty.
4x4
Four cute pigs
danced without boots:
Four times four - sixteen bare legs.
4x5
Four learned monkeys
They leafed through books with their feet ...
Each foot has five toes:
Four times five - twenty.
4x6
Went to the parade
Jacket Potatoes:
Four times six - twenty four!
4x7
Chickens are counted in the fall:
Four times seven - twenty eight!
4x9
Baba Yaga's stupa broke:
"Four times eight" - thirty-two teeth! -
She has nothing to eat with bugs:
- Four times nine - thirty six!
4x10
We walked forty forty,
Found a curd cheese.
And the curd is divided into parts:
Four times ten - forty.
5x5
The hares went out for a walk:
Five five - twenty five.
5x6
A fox ran into the forest:
Five six is ​​thirty.
5x7
Five bears from the den
We walked through the forest without a road -
Sip jelly for seven versts:
Five seven - thirty five!
5x8
Climb a centipede
Difficult on a hillock:
Legs are tired -
Five eight is forty.
5x9
Cannons stood on the hillock:
Five eight - forty came out.
The guns started firing:
Five nine is forty five.
5x9
If you sip cabbage soup with bast shoes:
Five nine - forty five ...
There will be this bast
Everybody drip on trousers!
5x10
Digging a bed of zucchini
Five dozen patches.
And piglets have tails:
Five ten - fifty!
6x6
Six old ladies were spinning wool:
Six six is ​​thirty six.
6x7
Six nets of six ruffs -
This is also thirty-six.
And the roach got caught in the net:
Six seven is forty two.
6x8
Hippos for buns are asking:
Six eight - forty eight ...
6x9
We don't mind the buns.
Open your mouth wider:
Six nine will be -
Fifty four.
6x10
Six geese lead goslings:
Six ten - sixty.
7x7
Fools do not reap, do not sow,
Themselves are born:
Seven seven - forty nine ...
Let them not be offended!
7x8
Once a deer asked an elk:
- How many will be seven eight? -
The moose did not go into the textbook:
- Fifty, of course, six!
7x9
Seven nesting dolls
The whole family inside:
Seven nine crumbs -
Sixty three.
7x10
There are seven fox cubs in school:
Seven ten - seventy!
8x8
Vacuuming up the nose
Elephant carpets in the apartment:
Eight by eight -
Sixty four.
8x9
Eight bears were chopping wood.
Eight nine - seventy two
8x10
The best score in the world
Coming New Year…
The toys hang in eight rows:
Eight ten - eighty!
9x9
The piggy pig decided to check:
- How many "nine by nine"?
- Eighty - oink - one! -
So the young pig answered.
9x10
The sandpiper is small, but the nose:
Nine ten - ninety.
10x10
There are a dozen moles in the meadow,
Each one digs ten beds.
And for ten ten - one hundred:
The whole earth is like a sieve!

Secrets of the multiplication table of 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 unmistakable counter
9 * 5 = 45
To solve this on your fingers, you only have to look how many fingers are from the 5th finger to the left and how many to the right: to the left 4 fingers is 4 tens, to the right 5 is 5 units, which means the answer will be 45.
9 * 7 = 63
From the 7th finger to the left 6, to the right 3 fingers, which means 63.

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The multiplication table is a basic concept in mathematics, with which we get acquainted back in primary school and which we then use all our lives, regardless of the profession. But the children are in no hurry to memorize the endless columns by heart, especially if the task was during the holidays.

site will give advice on how to easily learn the table with the children and make this process fun.

Pythagoras table

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

Highlight the same values

An excellent helper for learning multiplication will be the Pythagorean table, which also demonstrates some patterns. For example what about t swapping the multipliers, the product does not change: 4 × 6 = 6 × 4. Mark such "mirror" answers with a certain color - this will help to remember and not get confused when repeating.

It is better to start studying the Pythagorean table with the simplest and most understandable parts: multiplying by 1, 2, 5 and 10. When multiplied by one, the number remains unchanged, while multiplying by 2 gives us twice 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 digit that was multiplied and zero.

Table to consolidate the result

To consolidate the results, draw an empty Pythagorean table with the child and invite him to fill in the cells with the correct answers. To do this, you just 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 parent - to find an approach and support your child, because we all once started with such at the same time simple and complex steps.