Many children make great efforts to learn the multiplication tables. As a parent, you have a responsibility to help. After all, fast multiplication skills will help them in school, university and in life. You will need time and patience to help your child master multiplication skills. And here's how to do it.

Steps

Skill training

1. Choose a time. Sit down with your child when you are both ready to “gnaw on the granite of science.” If you are busy with your own things, or your child is too tired or hungry, the learning will not be as effective as you would like. Sit down for 30 minutes and eliminate all distractions for both of you.

   • Energy and enthusiasm are very important for both of you. Turn off cellular telephone, TV, sit down at the table and beat these numbers.

2. Start with a table of 0, 1, 2 and 3. It is better to memorize information in small portions than to try to remember the entire table. Remember: your child does not count, he just remembers. Presumably he already knows the basic principle of multiplication.

   • If your child is new to multiplication, write multiplication in addition form. For example, 4*3 is 4+4+4.
   • Ask your child to bring you math books and other materials he or she has. You will understand what he is studying and become familiar with the teaching method used in his school.
   • Draw a table or number line showing the numbers from 0 to 100. The table is useful for finding answers that correspond to specific rows and columns. The table will be more convenient for beginners, since the answers can be found faster.
     • The number axis is more labor intensive. You can mark numbers and their factors with different colors.

3. Explain to your child how the property of commutativity (independence of the result of an operation from the rearrangement of its elements) makes it easier to memorize the multiplication table.

   • Show your child that each answer is repeated; in fact, he only has to learn half of the table. 3*7 is the same as 7*3. When he learns the table for 0, 1, 2 and 3, he will already know 4 examples of tables for 4, 5, 6, 7, 8, 9 and 10.

4. Once your child has mastered multiplying by 0-3, move on to multiplying by 4-7 and then by 8-10. If you want to take it a step further, take multiplication by 11 and 12. Some teachers take more difficult examples as a bonus or to grade each child. There should be no rote memorization. The table clearly shows what you need to pay attention to

   • All examples of 10 end in 0.
   • All examples with 5 end in 5 or 0 and are half as many as examples with 10 (10*5=50; 5*5=25 or half of 50).
   • All examples of 0 are equal to 0.

5. Little tricks. Luckily, mathematics is full of shortcuts. Teach your child these tricks and he will thank you.

   • To remember the table for 9, use your fingers. Extend both palms in front of you. 9*1, bend the left little finger. What are you showing? 9. 9x2, bend the ring finger on the left palm. What are you showing? 1 and 8. 18. Bend the middle finger - 2 and 7. 27. This works up to 9x9 (8 and 1. 81)
   • If your child knows how to double a number, it will be easier to multiply by 4. Just double the number twice. Let's take 6x4. Double the number 6, it becomes 12. Double the number 12, it becomes 24. 6x4=24. Use this technique to make your responses automatic.
   • To multiply any number by 11, simply duplicate it. 3*11=33. Two threes. 4*11=44. Two fours. The answer is in the question.
   • If your child is a math genius, teach him this trick for multiplying 11 by a two-digit number. Take a two-digit number and divide it by its digits. 11*17 = 1__7. Add these numbers and put the resulting number in the middle: 187.

   Remembering answers

   1. Make learning fun. From this point of view, you may be surprised that there is something to these squiggles. Introduce an element of play and competition into learning.

      • Ask your child to make a set of cards. Write the example, 4x9, on one side and the answer, 36, on the reverse side. Writing down examples is another opportunity for repetition. Use a timer to see how many cards your child can complete in a minute. Can he beat that score tomorrow?
        • You can also do this in empty table. The table allows you to track weaknesses that still need to be worked on.
      • "Capture a deck of cards" - this game is similar to war, but with multiplication. Each of you receives half the deck and places it face down in front of you. Don't look at the cards! Players turn over their first card at the same time - the first one to say their answer by multiplying the numbers on two cards receives both cards (the goal of the game is to collect all the cards). If you turned over a 7 and a 5, the answer is 35. For jacks, queens, and kings, you can use 11, 12, and 13, use them as 0s, or remove them from the deck entirely.
      • Say the number. For example, 30. Can the child name all the possible cases in which the result is 30? 5*6? 3*10=?
      • Say the number and ask them to do the next multiplication. For example, start with 30 and ask the next multiplication to be done by 6. Or start with 18 and ask to do the next two multiplications by 9. You can even start with 22 and ask the next multiplication to be done by 4, even though 22 is not a multiple of 4. Be smart.
      • Try the bingo game. Your child fills in a six by six square with any numbers. You name the example, "5 * 7." If he has the number 35 on the card, he crosses it out. Continue until someone has crossed out all the numbers on their card. What prize can he win?

   Encourage your child

   1. Use incentives. You should not use money or material values ​​as an incentive - this can kill the thirst for knowledge.

      • Save the rewards for school tests. If your child can solve examples under pressure, you have achieved success.

   2. Praise the child. Don't forget to take breaks and rest between serious activities. If you celebrate your child's success, he will want to succeed next time. Express in words how great your child is doing.

      • If he works out slower than he could, rest. Negative emotions can lead to quitting. A bad mood can ruin all your efforts. Encourage your child to make an effort.
   3. Be kind and patient. If necessary, simply work with one combination for a few days until the child fully understands.
   4. Learning too much too quickly will cause confusion and frustration. Work gradually to make learning multiplication easier, but move forward steadily to continually and consistently improve your multiplication skills.
   5. Note that addition can be done in two ways: 2+1=3 and 1+2=3. It's the same with multiplication.
   6. Leave the complicated stuff for later: 10 squared is very similar to 1 squared. 1 squared is 1, 10 squared is 100. It is easy to see that 20 squared is 400, 30 squared is 900, 40 squared is 1600, and so on.

   Warnings

   • Never, never Don't use the words "stupid", "lousy" or any other labels. Do not use them when referring to your child, yourself, or the material.
   • Understand that a child is not a calculating machine. A quick answer is achieved only by memorization. Mental arithmetic is useful initially, but becomes unnecessary once the table is firmly established.
   • Not bore your child by learning too many lines or patterns at once - remember to smile and take short breaks between activities.

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

   Learn multiplication tables - game

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

   See the full cheat sheet below.

   
   

   Multiplication directly on the site (online)

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   Multiplication table (numbers from 1 to 20)

   ×	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
   1	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
   2	2	4	6	8	10	12	14	16	18	20	22	24	26	28	30	32	34	36	38	40
   3	3	6	9	12	15	18	21	24	27	30	33	36	39	42	45	48	51	54	57	60
   4	4	8	12	16	20	24	28	32	36	40	44	48	52	56	60	64	68	72	76	80
   5	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80	85	90	95	100
   6	6	12	18	24	30	36	42	48	54	60	66	72	78	84	90	96	102	108	114	120
   7	7	14	21	28	35	42	49	56	63	70	77	84	91	98	105	112	119	126	133	140
   8	8	16	24	32	40	48	56	64	72	80	88	96	104	112	120	128	136	144	152	160
   9	9	18	27	36	45	54	63	72	81	90	99	108	117	126	135	144	153	162	171	180
   10	10	20	30	40	50	60	70	80	90	100	110	120	130	140	150	160	170	180	190	200
   11	11	22	33	44	55	66	77	88	99	110	121	132	143	154	165	176	187	198	209	220
   12	12	24	36	48	60	72	84	96	108	120	132	144	156	168	180	192	204	216	228	240
   13	13	26	39	52	65	78	91	104	117	130	143	156	169	182	195	208	221	234	247	260
   14	14	28	42	56	70	84	98	112	126	140	154	168	182	196	210	224	238	252	266	280
   15	15	30	45	60	75	90	105	120	135	150	165	180	195	210	225	240	255	270	285	300
   16	16	32	48	64	80	96	112	128	144	160	176	192	208	224	240	256	272	288	304	320
   17	17	34	51	68	85	102	119	136	153	170	187	204	221	238	255	272	289	306	323	340
   18	18	36	54	72	90	108	126	144	162	180	198	216	234	252	270	288	306	324	342	360
   19	19	38	57	76	95	114	133	152	171	190	209	228	247	266	285	304	323	342	361	380
   20	20	40	60	80	100	120	140	160	180	200	220	240	260	280	300	320	340	360	380	400

   How to multiply numbers in a column (mathematics video)

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

   You've probably heard the opinion more than once that the level mathematics education falls.

   When my children were in second grade, I clearly understood why the level of mathematics education in school is falling. It is in the second grade, when laying the foundation of mathematical education, that such a gigantic irreparable hole appears.

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

   I spent a long time shopping in search of notebooks. And still everyone sees this picture:

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

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

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

   The multiplication table, my dear readers, is this:

   

   It is otherwise called the “Pythagorean table”.

   You don't have to take the top and left columns, just the main rectangle.

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

   Not a single child will look at the examples written out in columns.

   Not a single child will be able to find interesting features and patterns in the written examples.

   And in general, when the teacher says: “Learn the multiplication table,” and the child doesn’t even see the table in front of him, he immediately understands that mathematics is a science where ordinary things are named differently and you need to cram a lot, but to understand nothing is impossible.

   Why is “table” better?

   • Firstly, there is no garbage and information noise in the form of the left side of the examples.
   • Secondly, you can think about it. It’s not even written anywhere that this multiplication is just a table.
   • Thirdly, if it is always at hand and the child constantly bumps into it, he willy-nilly begins to remember these numbers. In particular, to the question “seven eight” he will never answer “55”, because the number 55 is not and never was in the table!

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

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

   For example: numbers that are symmetrical about the diagonal are equal.

   The human brain is simply tuned to look for symmetry, and if it finds and notices it, it is very happy. And what does it mean? This means that the product does not change when the factors are rearranged.

   

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

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

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

   Pythagorean table

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

   Highlight identical values

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

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

   Table to consolidate the result

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

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

   Learning the multiplication table is easy if you use a game teaching method.

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

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

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

   How to teach a child multiplication, how to explain?

   
   
   

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

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

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

   Multiplication table simulator

   
   
   

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

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

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

   Video: Multiplication tables

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

   Video: Visual multiplication table. Counting video clip.

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

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

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

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

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

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

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

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

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

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

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

   
   
   

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

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

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

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

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

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

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

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

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

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

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

   
   
   

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

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

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

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

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

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

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

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

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

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

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

   
   
   

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

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

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

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

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

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

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

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

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

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

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

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

   
   
   

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

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

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

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

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

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

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

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

   6x7=42(6 repeated 7 times = 42)

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

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

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

   
   
   

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

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

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

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

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

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

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

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

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

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

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

   
   
   

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

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

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

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

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

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

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

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

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

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

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

   
   
   

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

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

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

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

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

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

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

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

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

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

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

   Multiplication table - game for children

   Multiplication table - game for children

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

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

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

   Games for children to quickly learn the multiplication tables:

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

   Video: MULTIPLICATION TABLE. DEVELOPMENTAL CARTOON!

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

   
   
   

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

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

   
   Poems - multiplication by 8
   
   Multiplying by 5 - poetry
   
   Multiplying by 8 - verses

   Video: Verse Multiplication tables in verse

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

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

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