Addition and subtraction from 1 to 10. How to teach a child to count? Teachers advise

Learn table of addition and subtraction within 10

One of the important objectives of the 1st grade mathematics course is for children to firmly master the tables of addition and subtraction within ten. When studying the composition of numbers, an important point is to rely on visualization and gaming activity. Work on studying the addition and subtraction tables should be carried out systematically, the forms of work should be varied. Only under such conditions can boredom and monotony be avoided and children’s strong memorization of the composition of numbers is guaranteed.

Of course, these are paper simulators for the composition of numbers.

But most of all, children like interactive or online games! Play is one of the important means in the acquisition of knowledge, development and education of children. It can be applied within different teaching methods. A very important point in the game is overcoming obstacles, achieving goals, and searching independently. All these elements of the game develop the student’s mental abilities. It is with the help of various computer games and simulators, tasks for the interactive table that a modern teacher can diversify the types of work aimed at helping children master the addition and subtraction tables. They will help students not only bring the skill of mental calculation to automaticity, but will also give them the opportunity to consolidate the rules of working in a group.

Composition of number 5

Composition of number 6

Composition of number 7

Composition of number 8

Composition of number 9

Composition of the number 10

The following are online games aimed at consolidating and automating the composition of numbers - these are mathematical simulators that include examples and equations that will help bring knowledge of the composition of numbers to automaticity.

However, do not forget about other ways to memorize the composition of numbers, since being in front of a computer screen for a long time is harmful for a child.

The very first examples that a child gets acquainted with even before school are addition and subtraction. It is not so difficult to count the animals in the picture and, crossing out the extra ones, count the remaining ones. Or move the counting sticks and then count them. But for a child it is somewhat more difficult to operate with bare numbers. That is why practice and more practice are needed. Don’t stop working with your child in the summer, because over the summer the school curriculum simply disappears from your little head and it takes a long time to catch up with lost knowledge.

If your child is a first-grader or is just entering first grade, start by repeating the composition of the number by house. And now we can take on examples. In fact, addition and subtraction within ten is the child’s first practical use of knowledge of the composition of a number.

Click on the pictures and open the simulator at maximum magnification, then you can download the image to your computer and print it in good quality.

It is possible to cut A4 in half and get 2 sheets of tasks if you want to reduce the load on the child, or let them solve a column a day if you decide to study in the summer.

We solve the column and celebrate our successes: cloud - not solved very well, smiley - good, sunshine - great!

Addition and subtraction within 10

And now randomly!

And with passes (windows):

Examples for addition and subtraction within 20

By the time a child begins to study this topic of mathematics, he should know very well, by heart, the composition of the numbers of the first ten. If a child has not mastered the composition of numbers, he will have difficulty in further calculations. Therefore, constantly return to the topic of composition of numbers within 10 until the first grader masters it to the point of automaticity. Also, a first-grader should know what the decimal (place value) composition of numbers means. In mathematics lessons, the teacher says that 10 is, in other words, 1 ten, so the number 12 consists of 1 ten and 2 units. In addition, units are added to units. It is on knowledge of the decimal composition of numbers that the techniques of addition and subtraction within 20 are based. without going through ten.

Examples for printing without going through the tens mixed up:

Addition and subtraction within 20 with a transition through ten are based on techniques for adding to 10 or subtracting to 10, respectively, that is, on the topic “composition of the number 10,” so take a responsible approach to studying this topic with your child.

Examples with passing through tens (half a sheet of addition, half a subtraction, the sheet can also be printed in A4 format and cut in half into 2 tasks):

Good afternoon, dear readers! How much effort adults have to put in to teach a child to count within 10 and 20. And not only count, but also solve examples, subtract and add! At the same time, doing this is not as difficult as it seems at first glance. We offer you non-standard game techniques on how to teach your child to count examples within 20.

Where to begin?

Stage 2

If you have learned how to count, get acquainted with the graphic representation of the numbers. For this purpose, we use cubes with numerical images and cards.

Stage 3

The next stage is very important: it prepares the basis for quick mental arithmetic. This is the study of the composition of a number. If the baby knows exactly how numbers are laid out, he will easily solve addition and subtraction examples.

The study of the composition of numbers is traditionally carried out using so-called “houses”. Draw a house on checkered paper. There are always 2 cage rooms on one “floor”. The number of floors of a house is determined depending on the number of numerical pairs into which the number can be decomposed.

For example, 4 can be decomposed into 3 and 1, 2 and 2. This means that the number 4 lives in a two-story house, etc. We will write it on the roof. The example clearly shows how to correctly create houses for the numbers 3, 4 and 5.

The child will have to memorize the distribution of “tenants” by floor. Start with small numbers. Ask your little one to carefully look at who lives with which neighbor, and then “populate” the numbers yourself.

When two and three are mastered, move on to more complex numbers. This technique gives the most consistent results. Tested from my own experience.

Here you can download this table and use it to master the number composition technique:

Stage 4

When the houses are completed, it is the turn of examples within 10. In the first grade, these examples will have to be solved in the first half of the year, so it is better to prepare in advance. Now all that remains is to place + or - signs between the “settlers”, having previously explained their purpose to the baby.

First, present addition or subtraction as a game. For example, from a four, a one left the floor. Which neighbor will remain on the floor? Answer: three. Such exercises will help the baby quickly get used to mathematical examples. Gradually we change the words “left” and “came” to “plus” and “minus”.

This is how we mastered counting within 10 with our child. As you can see, the technique is very simple, but it requires time and patience to work. Try to force your baby to count in his head first: written exercises slow down thinking.

Along the way, train the concepts of “more and less” (first use objects, placing them on different sides, then compare the numbers), neighbors of a number (write a series of numbers with missing digits and ask the baby to complete the series, placing the neighbors correctly).

Go ahead…

The time has come to introduce the baby to the second ten. To overcome arithmetic difficulties, we suggest the following training algorithm:

Part 1

We introduce the concept of ten. To do this, lay out 10 cubes in front of the child and add one more. We explain that it is eleven. We say that the ending of the word “dtsat” means “ten”. To form the number from 11 to 19, you just need to add the number to the ending “twenty” and put the preposition “na” between them.

Part 2

Since the baby is already familiar with the concept of ten, we introduce the units digit and operate with these concepts when adding. For example, 13+5. First we add the units: 3+5=8. Now add the remaining ten and get 18.

Part 3

Now let's move on to the negative examples: we act in exactly the same way. Subtract the ones, then add the tens.

Part 4

The most difficult stage is subtraction, in which the first unit is less than the second: 13-6. In this example, we cannot subtract six from 3. You have to deal with dozens. One way is to subtract three from six, subtract the remaining number from ten, i.e. 6-3=3, 10-3=7. After a few practices, your baby will be able to do subtraction in his head.

The child must clearly master the described skills: in 2nd grade he will need this to solve examples with two-digit numbers.

To brighten up the learning process, you can use various aids:

• cubes;
• magnets;
• pictures (learning with pictures is especially varied: you can simply count them, use coloring books with examples to reinforce counting skills);
• any items at hand;
• counting sticks;
• abacus, etc.

The more imagination you show, the sooner you will interest your child in mathematics.

We have looked at the sequence of teaching your little one to solve examples within 20 in stages. If the article was useful to you, leave a comment or share the article with your friends on social media. networks.

See you soon, dear friends!

Addition and subtraction worksheets are used to teach children to count or to test their skills in addition and subtraction. Different tables are used for these two tasks. Both versions of the tables can be downloaded and printed on this page

Addition table up to 20 print and download

The addition table is used to teach children. The vertical leftmost column and the horizontal top row represent terms. In order to add two numbers, you need to find them in a vertical column and in a horizontal row. The intersection forms the sum of these two terms. For example, as shown in the figure below, 6 + 5 = 11.

You can print the addition to 20 worksheet in Word or PDF format. If you need an addition table up to 10, you can easily make one by removing unnecessary cells in Word format. If you need an addition table for more than 20, then you can download the addition table in Excel format and add the necessary columns and rows by copying.

Subtraction table up to 20 print and download

The subtraction table uses the same addition table that can be printed above. Suppose we need to solve the example 14 - 8 = 6. Using the subtraction table, we find in the table field the diagonal with the minuend 14. In the figure below, this diagonal is highlighted in light green. We choose the number 14 on this diagonal, which is opposite the subtracted 8. The resulting number 6 in the top row is the answer.

As you can see, the same addition and subtraction table is used for addition and subtraction, which you can print or download from the links above in different formats.

Subtraction table without answers print and download

Preparing for the game - settings

1. Any parameters and settings can be changed at any time, even during the game.
2. Initially the game is set up like this:
   • Computation type - Addition up to 10
   • Prize 1- chocolate, bonus 2- cookie
   • In a gaming session 10 calculations (arithmetic examples)
   • Percentage of examples that must be solved correctly to receive Prize 1 - 90%
   • Percentage of examples that must be solved correctly to receive Prize 2 - 70%
3. You can choose any other type of calculation - depending on what the child knows and what is being taught at school at the moment. Types of calculations in the game:
   • Addition, subtraction, addition and subtraction (mixed):
     • To 10
     • Up to 20 (with transition through ten)
     • Up to 20 (with and without passing through ten)
     • Up to 30
     • Up to 100
   • Multiplication, division or any combination - by 1, - by 2, - by 3.......etc. up to 10
   • Comparison of numbers
4. Set how many examples there will be in a game session. It is better to start with a small number of attempts - 5 or 10, so as not to discourage the child from continuing the game. When the child increases milk yield:) improves performance, you can move on to a serious game with 100-200 examples.
5. Enter the percentage of correctly solved examples for which 1st and 2nd prizes are awarded. To begin with, it is better to lower the percentage. For example, choose 70 and 50 percent for 1 and 2 premiums, respectively. Later, the rates can be increased to 90 - 70. Or even to 98% - 95% for very terribly smart children :). Enter only numbers, without the % sign!
6. Write down the bonuses your child will receive for 1st and 2nd place.
7. The settings will be saved using a cookie (a small script) and restored the next time you open the game page in your browser.

Now you can start the game!

1. To start the game, press the START button
2. When an example appears on the screen, the child must enter the answer after the "=" sign.
3. If we play “comparisons”, we need to enter the appropriate sign: . To do this, it is most convenient to use the buttons that appear next to the NEXT button
4. After entering the result, you need to press the OK button (or ENTER on the keyboard) to check whether the example was solved correctly.
5. If the example was solved correctly, "Correct" will appear on the screen. If no, "Wrong" is the correct answer. At the same time, the game will calculate the percentage of correctly solved examples
6. To move on to the next example, you need to click the NEXT button
7. When the session ends, the prize that the child won (or “didn’t win anything”) and the percentage of correctly solved examples during the session will appear on the screen.
8. To start a new session, click the START OVER button.

Big hopes:)

What can you expect from this game? Great help in completing the school curriculum! As a rule, in 5-7 days, in which the child plays for 30-40 minutes, he firmly masters the next type of calculation (for example, adding to 20 and passing through ten). And he practically stops making mistakes in class.