The division table is easy to learn. Parents need to be patient and tactful in relation to the child.
- Mathematics is a difficult subject for many students. The topic of division is taught in the third grade. It has one or two lessons. During this time, the child should have time to master the material
- Someone misses classes due to illness, while others simply find it difficult to remember the division table in one day. Therefore, it is necessary to work with such children at home - this will help to catch up and catch up with peers
Important: Try to engage with your child in a playful way. He will be interested, which means that the classes will be exciting and effortless.
Tip: To make it easy for a child to learn the division table, he must know thoroughly. Therefore, check your multiplication skills and if there are gaps, repeat the material covered.
division table So, how to quickly learn the division table:
- No need to force the baby to "cram" actions. He must understand the algorithm
- Use coins or counting sticks to explain. With the help of these items, the child will be able not only to learn the division, but also to develop a small one, which has a good effect on
- Start learning the division table at 9. When you get to 5, the difficult half of the table will be learned - the rest will be easy to remember
- Praise the baby and encourage him with his favorite sweets, because he is trying
- Practice daily. It will help develop visual memory
- At first, it will be difficult for the child to remember the actions, but over time he will give the correct answer.
- Train your baby even while walking. For example, let him count how many sweets were bought for each family member
Important: Special programs help to study the division and multiplication tables. You can hang a poster on the wall with large printed numbers in these actions.
Such a simulator is a good example. The child will be able to turn to him for help whenever it is needed.
There are various programs that help to acquire the skills of mental counting and division.
Video: Golden arithmetic - the coolest program for practicing mental counting !!!
Video: division grade 2 presentation
Tip: Do not conduct extra classes with your child at home if he is not feeling well or is just being naughty. Wait a couple of days and then keep practicing.
0:2=0 (0 divided by 2 is 0)
2:2=1 (2 divided by 2 is 1)
4:2=2 (4 divided by 2 is 2)
6:2=3 (6 divided by 2 is 3)
8:2=4 (8 divided by 2 is 4)
10:2=5 (10 divided by 2 is 5)
12:2=6 (12 divided by 2 is 6)
14:2=7 (14 divided by 2 is 7)
16:2=8 (16 divided by 2 is 8)
18:2=9 (18 divided by 2 is 9)
20:2=10 (20 divided by 2 is 10)
Important: Explain to the child that when dividing zero by any number, the result will be zero. You can't divide by zero!
Division is a little more complicated than multiplication, but not a single mathematical problem can do without this action. Therefore, the kid must learn the topic “Division”, so that later it would be easy for him to solve any examples and problems in mathematics.
0:3=0 (0 divided by 3 is 0)
3:3=1 (3 divided by 3 is 1)
6:3=2 (6 divided by 3 is 2)
9:3=3 (9 divided by 3 is 3)
12:3=4 (12 divided by 3 is 4)
15:3=5 (15 divided by 3 is 5)
18:3=6 (18 divided by 3 is 6)
21:3=7 (21 divided by 3 is 7)
24:3=8 (24 divided by 3 is 8)
27:3=9 (27 divided by 3 is 9)
30:3=10 (30 divided by 3 is 10)
Dividing by four is an easy action for a student who also knows the division table for 2 and 3 well. The child can even calculate the result in his mind if he is not in the mood to memorize the actions.
0:4=0 (0 divided by 4 is 0)
4:4=1 (4 divided by 4 is 1)
8:4=2 (8 divided by 4 is 2)
12:4=3 (12 divided by 4 is 3)
16:4=4 (16 divided by 4 is 4)
20:4=5 (20 divided by 4 is 5)
24:4=6 (24 divided by 4 is 6)
28:4=7 (28 divided by 4 is 7)
32:4=8 (32 divided by 4 is 8)
36:4=9 (36 divided by 4 is 9)
40:4=10 (40 divided by 4 is 10)
Dividing by 5 is simple and easy. It is easy to remember, like the multiplication table for 5.
0:5=0 (0 divided by 5 is 0)
5:5=1 (5 divided by 5 is 1)
10:5=2 (10 divided by 5 is 2)
15:5=3 (15 divided by 5 is 3)
20:5=4 (20 divided by 5 is 4)
25:5=5 (25 divided by 5 is 5)
30:5=6 (30 divided by 5 is 6)
35:5=7 (35 divided by 5 is 7)
40:5=8 (40 divided by 5 is 8)
45:5=9 (45 divided by 5 is 9)
50:5=10 (50 divided by 5 is 10)
If division by 6 is still difficult for the child, then let him try. The more he deals with division in a column, the faster the baby will understand the division algorithm.
0:6=0 (0 divided by 6 is 0)
6:6=1 (6 divided by 6 is 1)
12:6=2 (12 divided by 6 is 2)
18:6=3 (18 divided by 6 is 3)
24:6=4 (24 divided by 6 is 4)
30:6=5 (30 divided by 6 is 5)
36:6=6 (36 divided by 6 is 6)
42:6=7 (42 divided by 6 is 7)
48:6=8 (48 divided by 6 is 8)
54:6=9 (54 divided by 6 is 9)
60:6=10 (60 divided by 6 is 10)
Division by 7 table
The most difficult process begins - memorizing division by 7.
Tip: Explain to your child that the only thing left to learn is division by 7, 8 and 9, and dividing by 10 is an easy action to remember.
Division by 7 table:
0:7=0 (0 divided by 7 is 0)
7:7=1 (7 divided by 7 is 1)
14:7=2 (14 divided by 7 is 2)
21:7=3 (21 divided by 7 is 3)
28:7=4 (28 divided by 7 is 4)
35:7=5 (35 divided by 7 is 5)
42:7=6 (42 divided by 7 is 6)
49:7=7 (49 divided by 7 is 7)
56:7=8 (56 divided by 7 is 8)
63:7=9 (63 divided by 7 is 9)
70:7=10 (70 divided by 7 is 10)
Important: Set aside a couple of days to remember the division by 8. This will help the child understand the algorithm of action and learn the material.
0:8=0 (0 divided by 8 is 0)
8:8=1 (8 divided by 8 is 1)
16:8=2 (16 divided by 8 is 2)
24:8=3 (24 divided by 8 is 3)
32:8=4 (32 divided by 8 is 4)
40:8=5 (40 divided by 8 is 5)
48:8=6 (48 divided by 8 is 6)
56:8=7 (56 divided by 8 is 7)
64:8=8 (64 divided by 8 is 8)
72:8=9 (72 divided by 8 is 9)
80:8=10 (80 divided by 8 is 10)
One of the hardest things to do on the division chart is to divide by 9. Many kids pick up on these examples quickly, while others take time.
Important: Be patient and you will succeed.
0:9=0 (0 divided by 9 is 0)
9:9=1 (9 divided by 9 is 1)
18:9=2 (18 divided by 9 is 2)
27:9=3 (27 divided by 9 is 3)
36:9=4 (36 divided by 9 is 4)
45:9=5 (45 divided by 9 is 5)
54:9=6 (54 divided by 9 is 6)
63:9=7 (63 divided by 9 is 7)
72:9=8 (72 divided by 9 is 8)
81:9=9 (81 divided by 9 is 9)
90:9=10 (90 divided by 9 is 10)
Game - division table
Game - division table Currently, in specialized school stores you can buy not only ordinary paper posters with a division and multiplication table, but also coloring books for better memorization, electronic posters "Talking Table".
Also, games of division tables or just video explanations help the child well.
Video: Mental arithmetic. Division. Lesson #13
Video: Educational cartoon Mathematics Learning by heart the multiplication and division tables by 2
With the best free game, learn very fast. Check it out yourself!
Learn multiplication table - game
Try our educational e-game. Using it, tomorrow you will be able to solve math problems in the classroom at the blackboard without answers, without resorting to a tablet to multiply numbers. One has only to start playing, and after 40 minutes there will be an excellent result. And to consolidate the result, train several times, not forgetting the breaks. Ideally, every day (save the page so you don't 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)
*| × | 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 by a column (mathematics video)
To practice and learn quickly, you can also try to multiply numbers by a column.
Division
1. The meaning of the action of division.
2. Tabular division.
3. Techniques for memorizing the division table.
1. The meaning of the action of division
The action of division is seen in elementary school as the inverse of multiplication.
From the set-theoretic point of view, the meaning of division corresponds to the operation of partitioning a set into equal subsets. Thus, the process of finding the results of the division action is associated with objective actions of two types:
a) splitting the set into equal parts (for example, 8 circles were divided into 4 boxes equally - they lay out 8 circles one by one into 4 boxes, and then count how many circles turned out in each box);
b) dividing the set into parts by a certain amount in each part (for example, 8 circles were put into boxes of 4 pieces - 8 circles of 4 pieces are laid out in boxes, and then they count how many boxes turned out; division according to this principle in the methodology is called " division by content).
Using similar subject actions and drawings, children find the results of division.
An expression like 12:6 is called a private expression.
The number 12 in this notation is called the dividend, and the number 6 is the divisor.
An entry like 12: 6 = 2 is called equality. The number 2 is called the value of the expression. Since the number 2 in this case is obtained as a result of division, it is also often called private.
For example:
Find the quotient of 10 and 5. (The quotient of 10 and 5 is 2.)
Since the names of the components of the division action are introduced by agreement (children are told these names and they need to be remembered), the teacher actively uses tasks that require recognition of the action components and the use of their names in speech.
For example:
1. Among these expressions, find those in which the divisor is 3:
2:2 6:3 6:2 10:5 3:1 3-2 15:3 3-4
2. Compose a quotient in which the dividend is 15. Find its value.
3. Choose examples where the quotient is 6. Underline them in red. Choose examples where the quotient is 2. Underline them in blue.
4. What is the name of the number 4 in the expression 20: 4? What is the number 20 called? Find private. Write an example in which the quotient is the same number, but the dividend and divisor are different.
5. Divisible 8, divisor 2. Find private.
In grade 3, children get acquainted with the rule for the relationship of division components, which is the basis for learning to find unknown division components when solving equations:
If you multiply a divisor by a quotient, you get the dividend.
If the dividend is divided by the quotient, then the divisor is obtained.
For example:
Solve equation 16: x \u003d 2. (The divisor is unknown in the equation. To find the unknown divisor, you need to divide the dividend by the quotient. x \u003d 16: 2, x - 8.)
However, these rules in the 3rd grade math textbook are not a generalization of the child's ideas about how to check the division action. The rule for checking the results of division is considered in the textbook after getting acquainted with out-of-table multiplication and division (acquaintance with multiplication and division of two-digit numbers by single-digit numbers, not included in the multiplication and division table), before the last most difficult case of the form 87: 29. This is due to the fact that obtaining The result of division in this case is a complex process of selecting a quotient with its constant checking by multiplication, so the rule for checking the action of division is considered by children even earlier than the rule for checking the action of multiplication.
Division test rule:
1) The quotient is multiplied by the divisor.
2) Compare the result with the dividend. If these numbers are equal, the division is correct.
For example: 78: 3 = 26. Check: 1) 26 3 = 78; 2) 78 = 78.
2. Tabular division
In elementary school, the action of division is considered as the inverse of multiplication. In this regard, at first, children get acquainted with cases of division without a remainder within 100 - the so-called tabular division. Children get acquainted with the action of division after they have already memorized the multiplication tables of numbers 2 and 3. Based on the knowledge of these tables, already in the fourth lesson after getting acquainted with the division, the first table of division by 2 is compiled. To obtain its values, a subject drawing is used.
The private values in this table are obtained by counting the drawing elements in the picture.
The next division table - division by 3 is the last table studied in the second grade. This table is compiled on the basis of the relationship of the multiplication components using the rule for finding an unknown multiplier. Due to the fact that this rule is explicitly offered to children in full formulation only in the 3rd grade, at the stage of compiling the division table by 3, it is still more expedient to rely on the object model of the action (model on a flannelgraph or drawing).
Calculate and remember the results of actions. Use the picture to check:
3x3 = ... 9:3 = ...
4x3 = ... 12:3 = ... 12:4 = ...
5x3 = ... 15:3 = ... 15:5 = ...
6x3 = ... 18:3 = .... 18:6 = ...
7x3 = ... 21:3 = .... 21:7 = ...
8x3 = ... 24:3 = ... 24:8 = ...
9 3 = ... 27: 3 = ... 27: 9 = ...
The use of such a figure makes it possible to compose a third, interconnected with the first two, case of division (third column). It does not belong to the division-by-3 table, but is a member of an interconnected triple, which is easier to remember, focusing on the first two cases. This method of memorizing the division table (a reference point for an interconnected triple) is a convenient mnemonic device. You can see how children use it, really remembering only one method of multiplying.
All other division tables are studied in grade 3. Since the multiplication of the number 4 and multiplication by 4 are also studied already in the 3rd grade, this year of study the practice of separate study of multiplication and division tables is stopped. Starting with the multiplication table of the number 4, the division tables interconnected with it are studied in one lesson, immediately compiling four interconnected columns of cases of multiplication and division.
Calculate and remember:
4 5 = 20 5x4 20:4
4 6 = 24 6x4 24:4
4-7 = 28 7x4 28:4
4-8 = 32 8x4 32:4
4 9 \u003d 36 9x4 36: 4
20:5 24:6 28:7 32:8 36:9
Using the results of the first column, children get the second column by permuting the factors, and the results of the third and fourth columns based on the rule for the relationship of multiplication components:
If the product is divided by one of the factors, then another factor will be obtained.
All other division tables are obtained in a similar way.
3. Techniques for memorizing the division table
Methods for memorizing tabular cases of division are related to methods for obtaining a division table from the corresponding tabular cases of multiplication.
1. Reception related to the meaning of the action of division
With small values of the dividend and divisor, the child can either perform objective actions to directly obtain the result of division, or perform these actions mentally, or use a finger model.
For example: 10 pots of flowers were placed equally on two windows. How many pots are in each window?