How to learn the multiplication table in a playful way. Educational games for children

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In the modern virtual world there is an incredible a large number of a wide variety of games, which are divided into certain groups by gender, age and general groups for entertainment, development of certain qualities, as well as educational ones. Educational games are very popular, since they offer the opportunity to master certain knowledge, or test their own level of mastery of any knowledge in game form, which eliminates the possibility of getting bored during exercise.

Today we bring to your attention an exciting and very useful flash game for girls called Multiplication Table Game, where you can test how well you know the mathematical multiplication table, and also raise the level of your knowledge to a higher level. If you are currently studying multiplication at school, then this educational entertainment will help you become the best student in the class. the site wishes you success in a useful task - learning the multiplication tables!

Tips for passing:

As soon as this completely free entertainment loads on your monitor screens, select the level at which you will test your knowledge. Among the available levels you can choose: multiplication from 1 to 10, then from 11 to 20 and finally from 1 to 20. Now decide how well you have progressed in learning the multiplication table and choose the most suitable level for you.

After the choice in favor of one of the proposed levels is made, a virtual school board will appear in front of you, on which you will see an example where there will be no answer after the equal sign, and in the lower part of the playing space you can choose the correct answer, in your opinion. and put it in place of the answer as an example. To do this, using a computer mouse, simply drag required number as an example and place it after the equal sign. If your answer turns out to be correct, you will receive 1 point, but if suddenly the answer is incorrect, then 3 points will be deducted from your piggy bank. Thus, try to answer questions correctly and accurately, while earning money maximum amount points.

On the right bottom corner game space you will be able to see a button labeled Hint. By clicking on it, you will see a multiplication table in front of you, where you can find the correct answer, and then by clicking on the Back button, located in the same place in the lower right corner of the field, return to your example and select the correct answer. But, still, you should not abuse this in order to memorize all the examples.

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 by simple example: 2 × 3 is the same as 2 + 2 + 2, that is, 3 times 2.

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

6. Repeat

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, which are in no way given to a child. Come up with simple poems on your own. Choose the most simple words, because your goal is to simplify the memorization process. For example: “Eight bears were chopping wood. Eight nine is seventy two.”

8. Don't be nervous

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

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

Surely, every person had to learn the multiplication table, and if not, then you still have a long way to go, but be that as it may, everyone will have to face the multiplication table. And in order to test your knowledge of the multiplication tables, this game was created. At the very beginning of the game, you can choose the table you want to learn. This was done because almost no one managed to learn the entire table at once, since it is actually very difficult to do this. Therefore, to begin with, select one table that is most interesting to you, and mark it with a tick, and after that you can start studying it. Look carefully and try to remember everything well. If you change your mind and want to start studying another table, you can switch to it using the arrow on the game field. After you remember all the tables that you have chosen, you can click on “Check”. Then your knowledge will be tested. Numbers will appear in front of you that you will need to place in in the right order. If you can give the correct answer, then a new question will appear in front of you. If you make a mistake, you will see an error signal. At the very end, you will be able to look at your results.


The multiplication table game is controlled using the mouse and keyboard

You need to register or log in to the site under your name to add it to your bookmarks on the site.

, Multiplication table

Game "Multiplication table"

Description:
This sweet girl wants to dress up in the most beautiful outfits, but in order to try out a new wardrobe, you need to solve all 55 examples from the multiplication table. Solve multiplication problems and for each correct answer you can get a piece of clothing that you can try on a girl. And at the end of the game you will receive an electronic certificate for your knowledge of the multiplication tables.

Control:
Press "Play" 2 times to start the game. The girl will ask you examples from the multiplication table, and your task is to give her the correct answer. Enter your answers in the box and click "Confirm" to check your answer. If you entered the numbers incorrectly, click on the cross to clear the entry field. For each correct answer, one of the wardrobe items will be unlocked, and then you can play with it. Once you have solved all 55 examples, click "Next" to move on to the next level. Here you can already dress the girl in the outfits that you received thanks to the correct answers. After you select the heroine’s clothes, accessories, select a background, click “Done” to complete. Your certificate will appear here, which shows in percentage how many correct answers you gave. Click "Photo" to save your result to your computer. "Back" - go back and dress the girl, "Again" - start the game over.

You cannot do without knowledge of the multiplication table, so it is included in school curriculum already in primary school. For a student, memorization is very difficult. Children get scared when the teacher points to the spread of the notebook, where examples that need to be learned are raised in columns.

Therefore, it is worth showing how to make memorization quick with the help of games, multiplication secrets and useful algorithms.

The multiplication table (a game to quickly learn the memorization algorithm is described below) was invented a very long time ago. There is an opinion that he developed the Pythagorean table ancient philosopher and mathematician. But no confirmation of this was found. But it is known that they counted using it already in ancient Japan, where during excavations they discovered wooden tablets with parts of a table (8th century).

Scientists suggest that the table came to Japan through China. In those days, the countries interacted closely. Japanese residents came to the Celestial Empire to study science. The assumption that the table was created in China is confirmed by a find at least 3 thousand years old in the form of a separate fragment of the table.

Some experts suggest that the table penetrated from China to India through trade caravans, and from there it spread to all other countries.

Another version says: tablets with numbers were found 5 thousand years ago in Mesopotamia. Perhaps that's where it was invented. In addition, it could have been invented in several countries at the same time, because already at that time the need for calculating large numbers was clear.

In which class do they teach multiplication tables?

In Russian schools they begin to study the table in 2nd grade. And by the beginning of 4th grade, teachers try to finish memorizing. However, the most commonly used standard method is memorization. It is ineffective, so some students peek at the answers on the back of the notebook until graduation.

How to teach a child multiplication

First of all, the child needs to be interested. Moreover, it is worth starting to study together, and not just playing the role of an inspector.

A few tips to help you memorize the Pythagorean table faster and better:

  • It is worth preparing a printed multiplication table in advance and explaining how the action occurs (the answer to multiplication is at the intersection), explaining the basic terms: factors, product.
  • Explain to the child how the table works (for example, explain that 3 x 2 is the same as 3 + 3).
  • You should learn the material gradually, in small parts. You need to start with the simplest examples.
  • You should explain to the child that changing the places of numbers in multiplication does not change the result (2 x 4 is the same as 4 x 2);
  • Look for patterns in the table (for example, if any number is multiplied by 1, you get the same number).
  • Do more reps. Gradually, the material covered may be forgotten, so it is worth systematically refreshing your memory.
  • Use memorization techniques.
  • Not every child is able to quickly memorize material, so parents should be calm and attentive. Even if a student fails to learn something, he should not be forced to sit through his lessons longer.

Where to begin

First you need to let your child understand the meaning of multiplication. This is done using the simplest examples: 3 x 4 - means that the number 3 must be taken 4 times. Once the meaning is clear, it will become much easier. On notebooks, the table is usually written in columns at the back. It is better to abandon it in favor of the Pythagorean one, where the result is at the intersection of multiplying numbers. The visual method works better.

Therefore, it is worth printing out the table and hanging it above the table or anywhere where the child will look at it. Let it be bright and large enough. They start learning with the smallest numbers: 2, then 3.

You should first think through all the ways of memorizing. A combination of methods will help you remember faster: using cards, games, poems, knowledge of patterns.

Useful materials to study

When memorizing the multiplication tables, it will not be a bad idea to use educational materials.

  • Shklyarova T. “How I taught my girl the multiplication tables.” This book is small, smaller in volume than a notebook. The author begins it by crossing out half of the multiplication table - the law of displacement applies. The first part of the book talks about what multiplication and division are, even and odd numbers, the features of finding the product and quotient of 1, 10 and 0, how to find an unknown factor and more. The second part tells how to multiply and divide by all numbers, explains different nuances and simple memorization methods.
  • Samsonova L. “Tabular multiplication for all current textbooks”. This manual is built in a strict study order: first multiplication by 2, then by 3, by 4 and so on up to 9. The book contains many tests, tasks, interesting examples, coloring books. After learning multiplication by certain numbers, coming independent work for check.

  • Long Linnet "Magnificent Multiplication".

Last thing tutorial built on games, of which there are 28:

  • multiplication on fingers;
  • memorization using socks;
  • pencils;
  • corners of the room;
  • playing cards;
  • counters;
  • inventing fairy tales;
  • tic-tac-toe;
  • digital lotto and much more.

The book is divided into 3 parts - according to difficulty level. Boys and girls will be surprised that to memorize complex examples you just need to decorate a teddy bear or learn a counting rhyme.

Cards

This is a simple but effective method. You should prepare cards with examples of multiplication without writing down the answers. They are mixed (you can use a lotto bag). The child draws one card at a time and tries to give an answer. If it is correct, then the card is removed to the side; if it is incorrect, it is returned to the bag.


Cards will help you quickly learn the multiplication tables

You can diversify the game like this: give answers within a certain period of time. You should allocate 1 minute. (or more), then count how many cards were guessed. The child will want to improve his result, which will become an incentive to memorize.

Another option is to play until you run out of examples. For each incorrect answer, assign the child a task: collect toys, dance, do squats, recite a poem. If all the cards are guessed correctly, you can award a prize in the form of sweets.

All children love to play, so as soon as they learn that they can get points, win chocolate or beat someone (even themselves), it becomes much more interesting for them.

Therefore, you can offer your child to learn the material with the following phrase: “The multiplication table is a game. To learn faster, we will play “cards, sea battle, shop” (depending on what is taken). The goal is to score so many points, complete it in this amount of time, reach level 3, and much more.”

Poetic examples

With the help of short rhyming lines, you can remember the most difficult moments well.

You can compose simple rhymes that will speed up the child’s learning process. They don't have to be logical:


It is worth noting that some examples from the Pythagorean table are themselves rhyming phrases. These include:

  • Six six is ​​thirty six;
  • Seven five – thirty five and others.

Such variations do not cause much difficulty in remembering.

Counting on fingers

Children often resort to turning over a notebook with the multiplication table or even using a calculator when they forget complex examples. Exists easy way counting with your fingers.

This method makes it easy to multiply numbers by 9. Counting algorithm:


Example: you need to multiply 3 by 9. The hand is put forward, the third finger is bent. To the left of it are 2 fingers - indicating the number 20. To the right there are 7 fingers, which means 7 units. In the end there were 27.

Multiplying 9 by 9. The ninth finger is bent. On the left there are 8 (which means 80), on the right - 1. The result is 81.

The following method will help you multiply numbers greater than 5. It's more complicated. Let's say you need to calculate how much 6 by 7 is. To do this, one finger on the left hand is extended (6 is more than 5 by 1), the others are bent. On the right, 2 fingers remain (7 is more than 5 by 2), the rest are hidden.

The visible fingers add up: 1 + 2 = 3 tens (that is, 30). The bent ones are multiplied: 4 x 3 = 12. All that remains is to add the resulting numbers: 30 + 12 = 42. The answer has been found.

A child should learn the multiplication tables with pleasure, so you should interest him.

You can do this in the form of a magic game: give the child a table and ask him to name any example from the desired column. He will ask, after which the parent will say that he can count using own hand, will quickly show the entire sequence. It is important that the student himself wants to learn multiplication. This way the process will move much faster.

Using toys

The multiplication table (a game to quickly learn the algorithm can be offered to the child instead of boring memorization) is better learned with the help of additional “tools.” To do this, you will need your child's favorite toys.

The essence of the method is simple: take cars, construction parts, furniture from dollhouse. Examples are built on this basis. Let’s say you need to multiply 5 by 3. Then 5 construction set pieces are laid out in front of the baby.

It is reported that you need to take 5 bricks 3 times to build a house. He takes these 5 parts, adds 5 more, and again the same number. Then he calculates that 15 bricks were brought to the construction site. With the help of such visual practice, the material is remembered faster.

If the method with toys is used, then you should not additionally burden the student with counting on fingers. It is better to choose one option so as not to confuse the child.

Mobile or online games

Modern assistants are computer games. The memorization process is fun and unnoticeable.

Examples of online games:

  • "Multiplication tables: animal puzzles". The child needs to collect the picture. This can be done only by solving the examples - they are below. At the top of the screen there is a picture in the form of a table with numbers. After solving the example, the puzzle piece is dragged onto the square with the resulting number. As a result, an image of the animal should open. In the game you can select a mode with multiplication by any number.
  • "Multiplication tables: adventures in the jungle." The player is transported to the world of dangerous forests in which he lives ancient tribe. One of his representatives, the guy Jim, should get a mask. But before that, you need to cope with various challenges - fishing, drumming and target shooting. The child must help the little savage overcome obstacles. This can only be done by solving examples.
  • "Multiplication tables: skateboard racing." A fun ride and memorization of examples will make learning unnoticeable. A skateboarder is rushing along the road, constantly having to overcome obstacles. To help him, you should quickly solve examples. In the game you can select a mode not only for multiplication, but also for other arithmetic operations.
  • "Snake". A small worm crawls on a green meadow. There are numbers scattered everywhere - answers to examples that need to be guessed. The snake is only allowed to eat balls with the correct answer. The more eaten, the longer it is. The game has the ability to select a mode - the numbers by which the multiplication will be performed.

Many games are not aimed at learning, but at remembering, that is, it is assumed that the child has already memorized the material, and during the game he simply tests himself. Therefore, you can allow using this method after studying - as a cool-down.

Sea battle

The multiplication table (a game to learn faster, it can be used in the form of a sea battle) is easier to remember in a game form. According to the rules, a couple of players participate. Each player draws two fields on a checkered sheet of paper: one for their own ships, and the second for the opponent’s fleet. To memorize the table, instead of letters, numbers are written on one side - the field resembles a Pythagorean table.

Having drawn the ships, the battle begins. The game should be played like this: it is called a multiplication action, for example, 2 x 7. The child sees that the answer is 14 at the intersection, and looks to see if there are ships there. This is how all moves are made.

Another option is to call the answer, say, 32. And the child sees that this number is obtained by multiplying 4 by 8. The clarity of this method will simplify memorization.

How to learn multiplication tables by playing sea battle:

Examples from life

Learning will be easier and more enjoyable if you build the process on things that are close to the child. You can give examples from everyday life. Instead of standard question: how much is 2 x 3? You can ask “how many cars are in the garage if 3 cars came in 2 times?” Any objects are used for explanations: matches, coins, cubes and felt-tip pens.

You can play in the store. Offer the child to buy 4 candies for 3 rubles. Let him count how much money he will need.

Multiplying by 1 and 10

Solving examples with these numbers is very simple. When any number is multiplied by 1, this number remains: 1 x 4 = 4 (that is, one was taken 4 times or four was taken 1 time). Same with all other cases: 1 x 6 = 6; 1 x 8 = 8 and so on. When increasing a number by 10 times, simply add 0 at the end: 5 x 10 = 50; 10 x 28 = 280 and so on with any number.

Multiply by 2

The product of numbers by 2 shows the doubling of the digit, that is, it is taken 2 times: 2 x 12 = 12 + 12; 5 x 2 = 5 + 5 and so on each. Therefore, all examples with doubling can be considered easy, because children already know addition.

Multiply by 3

The explanation of the table for the number 3 should begin with a simple one: 1 x 2 - this means that the number 1 is taken 2 times, that is, 1 + 1. If you take one more 1, the result is 1 + 1 + 1. This example is replaced by multiplication: 1 x 3 or 3 x 1 (the result will not change by changing the places of the factors).

Then it turns out that all other examples of multiplication by 3 are built on the same principle: the number is doubled and added. For example, 6 x 3 - this means that 6 was multiplied by 2 and another 6 was added. It looks like this: 6 x 2 + 6 = 18, that is, 6 x 3 = 18.

Thus, it is worth doing multiplication with all numbers. You can also note that even results of multiplication by 3 in the table alternate with odd ones.

Multiply by 4

It is assumed that a number is taken 4 times, for example, 3 x 4 can be written like this: 3 + 3 + 3 + 3 = 12, that is, the three is taken 4 times. If you rearrange them, you get 4 x 3 = 4 + 4 + 4 - the four was taken 3 times. To explain, use the example of animal legs. The child is asked the question: how many legs does a cat have? He answers that 4 (it is better to use a picture of an animal for clarity).

If one cat has so many legs, then the example would be: 4 (legs) x 1 (cat) = 4. Next, you ask how many legs two cats have. The child will say that 8. The example is composed again: 2 (cats) x 4 (legs) = 8. In this way, you can write all examples of multiplication by 4.

Multiply by 5

Memorizing the multiplication table by 5 is quite easy, but if you need to multiply large numbers, difficulties arise. To multiply a number by 5, you need to divide it in half (by 2), then simply add 0 to the answer. If the result of dividing by 2 is a non-integer number, then simply add 5 at the end (ignoring the comma).

Example: 3258 x 5 = (3258 / 2) and a zero = 16290 is assigned.

Multiplying by 6,7,8

There is a simple way to count on your fingers. While the child has not memorized the entire multiplication table for large numbers, it will be useful for him to learn this simple option multiplication. So, turn your hands with your palms facing you. Each finger on the hands is assigned numbers from 6 to 10 (you need to start with the little finger).

For example:

  • calculate the product of 6 by 7. You should connect the finger under the sixth number on the left hand and the seventh on the right.

Now you need to count: the number of fingers under the connected ones and those that are connected. IN in this case one finger at the bottom and two connected, 3 fingers came out. This will be 3 tens. The remaining fingers on top are multiplied: there are four on the left hand and three on the right - 3 x 4 = 12. Since the number is greater than 9, the tens and the resulting number are added: 30 + 12 = 42. This will be the answer.

One more example:

  • 8 x 7. The eighth finger of the left hand is connected to the seventh finger of the right. Together with the connected ones, you get five fingers, that is, the number 50. If you multiply the remaining ones, you get 6 (units). The result is 56.

Multiply by 9

Multiplying by nine using fingers was discussed above. In fact, only one example is worth remembering here: 9 x 9 = 81. All the rest refer to other numbers, because changing places does not change the product. So, 9 x 8 = 8 x 9, and 9 x 5 = 5 x 9 and so on.

So that the child is not frightened by the huge number of examples on the spread of the math notebook, he should immediately be told that he can cross out more than half of the tablet, because it is not necessary to learn all this.

When multiplying by 1 and 10, you do not need to remember the answers. Multiplying by 2 is simply doubling a number; children are taught to add earlier. Changing the factors does not change the product, so not everything will have to be memorized.

Secret What does it mean Example
Product of 1 and 10Multiplying by 1 leaves the number as is;
for 10 – a zero is assigned
1 x 5 = 5 (the number has not changed);
2 x 10 = 20 (zero added to two)
Multiply by 2A number is added to itself30 x 2 = 60 (since 30 + 30 = 60)
Swap multipliersIf, when multiplying, we put the first number in place of the second, and the second in place of the first, then the answer will not change6 x 3 = 3 x 6 = 18

So, out of 80 examples located on the back of the notebook, you will need to learn only 36 (the rest are crossed out).

Among the presented methods for working with the Pythagorean table and memorization tricks, one can highlight those that will help you learn the material quickly and effectively and will not turn mathematics into a boring and uninteresting subject, but will make it like a game.

With a little effort, your child won’t have to look anywhere for even the most complex examples.

Article format: Svetlana Ovsyanikova

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