Examples of addition and subtraction up to 20 print. Mathematical corner in the country

  • 18.12.2021

Counting within the first two tens with the transition through the category is a very difficult topic for first-graders.

And not only for them. Not everyone can easily and quickly add and subtract numbers with the transition through ten.

Therefore, I propose to download this notebook, or rather, a set of leaves with assignments.

Examples have already been written here, solutions need to be entered in the boxes. Therefore, it is easier for a child not to rewrite these examples on his own.







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Dear Readers!

All materials from the site can be downloaded absolutely free. All materials are checked by antivirus and do not contain hidden scripts.

The materials in the archive are not watermarked!

The site is replenished with materials based on the free work of the authors. If you want to thank them for their work and support our project, you can transfer any amount that is not burdensome for you to the account of the site.
Thank you in advance !!!

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

Where to begin?

Stage 2

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

Stage 3

The next step is very important: it prepares the foundation for quick mental arithmetic. This is the study of the composition of the number. If the crumb knows for sure how numbers are decomposed, he will easily solve examples for addition and subtraction.

The study of the composition of the number is traditionally carried out using the so-called "houses". Draw a house on paper in a box. On one "floor" there are always 2 cell rooms. The number of storeys of a house is determined depending on the number of numerical pairs into which the digit 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, and so on. We will write it on the roof. The example clearly shows how to correctly make houses for the numbers 3, 4 and 5.

The child will have to memorize the resettlement of the "tenants" on the floors. Start with small numbers. Ask the baby to carefully look at who lives with which neighbor, and then "populate" the numbers on their own.

When the two and three are mastered, move on to more complex numbers. This technique gives the most solid results. Proven on our own experience.

Here you can download such a table and use it to master the methodology for the composition of a number:

Stage 4

When the houses are passed, the turn of examples within 10 came. 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 put + or - signs between the "settlers", having previously explained their purpose to the baby.

First, present addition or subtraction in a game-like manner. For example, one left the four from the floor. Which of the neighbors will stay on the floor? Answer: three. Such exercises will help the baby quickly get used to mathematical examples. Gradually, the words "left", "came" are changed to "plus" and "minus".


So we have mastered counting within 10 with the child. As you can see, the technique is very simple, but it takes time and patience to operate. Try to make the baby count in the mind first: written exercises slow down thinking.

Along the way, train the concepts of "more or less" (first use objects, spreading them out on different sides, then compare the numbers), neighbors of the number (write a series of numbers with missing numbers and ask the crumbs to complete the row by placing the neighbors correctly).

Go ahead…

It's time to introduce the kid to the second ten. To overcome arithmetic difficulties, we offer 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. Explaining that this is eleven. We say that the end of the word "dtsat" means "ten". To form a number from 11 to 19, all you need to do is add the number to the ending "d" and put the preposition "on" between them.


Part 2

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

Part 3

Now we turn to examples for minus: we act in exactly the same way. Subtract units, then add ten.

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 a dozen. One of the ways is to subtract three from six, subtract the remaining number from ten, i.e. 6-3 = 3, 10-3 = 7. After a few workouts, your child will be able to do mental subtraction.


The child must clearly master the skills described: in grade 2 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 (training with pictures is especially diverse: you can simply count them, use coloring pages with examples to consolidate counting skills);
  • any items at hand;
  • counting sticks;
  • abacus, etc.

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

We have examined the sequence of learning crumbs to solve examples within 20 stages. If the article was useful to you, leave a comment or share the article with your friends in social. networks.

See you soon, dear friends!

In this lesson, you will learn how to add and subtract single digits through the digit. Solving interesting tasks, you will learn the algorithm for adding and subtracting numbers with the transition through ten and get acquainted with the table for adding single-digit numbers up to 20. You will have the opportunity to practice the previously studied material with interesting examples.

Topic:Familiarity with basic concepts in mathematics

Lesson: Addition and subtraction of single-digit numbers with a transition through the digit. Addition table up to 20

The graphical model can explain addition of single-digit numbers with a transition through ten.

How can 9 and 7 be folded?(fig. 1)

Rice. one

The graphical model shows that the first term 9 must be supplemented to 10. To do this, we divide the second term into two parts, one of which is equal to the number 1, since

9 + 1 = 10, which means 7 = 1 + 6. (Fig. 2)

Rice. 2

Let's do the addition in parts:

9 + 7 = (9 + 1) + 6 = 10 + 6 = 16

Answer: 9 + 7 = 16.

You can add these numbers in a different way. (fig. 3)

Rice. 3

The second term 7 can be supplemented to 10. For this, the first term is divided into two parts, one of which is equal to 3. Therefore, 9 = 3 + 6.

Rice. 4

Let's do the addition in parts:

7 + 9 = (7 + 3) + 6 = 10 + 6 = 16

The first term is 9, it lacks up to 10 of one unit, so we break the second term into parts. 5 is 1 and 4. Add to 9 first one unit, and then the remaining four units.

9 + 5 = 9 + (1 + 4) = 14

The first term is 6, it lacks up to 10 four units, so we divide the second term into parts: 4 and 2. Add 4 to 6 first and get ten units, and then the remaining two units.

6 + 6 = 6 + (4 + 2) = 12

The first term is 4, it lacks up to 10 six, so the second term 8 is divided into parts: 6 and 2. First, add six units to 4 and get ten units, and then the remaining two units.

4 + 8 = 4 + (6 + 2) = 12

In the reduced 15 - five units, so we divide the subtracted 7 into parts: 5 and 2. First subtract five units from 15, we get 10. Then subtract the remaining two units from ten.

15 - 7 = 15 - (5 + 2) = 8

In the reduced 16 - six units, so we divide the subtracted 9 into parts: 6 and 3. First subtract six units from 16, we get 10. And then subtract the remaining three units from 10.

16 - 9 = 16 - (6 + 3) = 7

In the reduced 12 - two units, so we divide the subtracted 4 into parts: 2 and 2. From 12 we subtract 2, we get 10. And from 10 we subtract 2.

12 - 4 = 12 - (2 + 2) = 8

Answer: 12 - 4 = 8.

It is not always convenient to use the technique of addition and subtraction in parts with a transition through a dozen, so you need to learn single-digit addition table up to 20 by heart.

The figure shows a table with the help of which it will be easier for you to learn the cases of adding single-digit numbers up to 20. (Fig. 7)

Rice. 7

In each column, the first term is the same, and the second one increases by one, which means the sum will also increase by one. Let's find the value of these sums.

9 + 2 = 11, therefore: 9 + 3 = 12, reasoning like this, we fill in the entire table. (fig. 8)

Rice. eight

Each line contains the sums with the same answers. Choose the way how it will be easier for you to remember the answers: by columns or by rows. If you learn well the table of addition of single-digit numbers up to 20, then it will not be difficult for you to perform subtraction of single-digit numbers within 20.

Bibliography

  1. Alexandrova L.A., Mordkovich A.G. Grade 1 mathematics. - M: Mnemosina, 2012.
  2. Bashmakov M.I., Nefedova M.G. Mathematics. 1 class. - M: Astrel, 2012.
  3. Bedenko M.V. Mathematics. 1 class. - M7: Russian Word, 2012.
  1. Social network of educators ().
  2. 5klass.net ().
  3. Self-taught ().

Homework

1. Remember how to correctly add and subtract single-digit numbers with a transition through the digit.

2. Help the frog solve examples.

3. Solve the examples and color the drawing.

I already wrote about ours. But we seem to be growing out of it. In any case, Dima can count freely from 1 to 100 and back. I understand that his need for mathematical knowledge grows with him. So I decided to delve deeper into the study of mathematics according to the Zaitsev system.

Table 100 has been familiar to me for a long time, even my older children had such a table. But Zaitsev still has so many interesting developments. BUT alone, most of them need a lot of space. And we have a sorely lack of it in our apartments.

At the dacha we finally made a room for ourselves. And, lo and behold, we have a large and not yet occupied wall! I immediately decided that I would hang on her. I bring to your attention our mathematical corner in the country:

Addition and subtraction table within 20.

Numerical tape from 0 to 100.

True, according to the method, it should hang in one line, but we certainly don't have such a long wall! My tables are slightly different from the Zaitsevskys, but their essence is the same. In the number tape, I wanted to play with colors a little. And to make a colored background behind the numbers - for me, for example, it is not very economical when printing. In my opinion, it is enough that the numbers themselves are colored. And to the table of addition and subtraction within 20 I added the number of basic numbers - so it seems clearer to me.

Tasks on tables can be read on Zaitsev's website, where you can order original manuals. I offer what I made for my son. The documents will be in PDF format and must be printed on thick paper.

Addition and subtraction table up to 20 x 5 sheets, in which you need to cut off the margins and glue the sheets together. I used regular tape and glued it on the back.

Numerical tape on 22 sheets. The first two dozen fit on one sheet. They only need to be cut lengthwise and glued between 4 and 5, 14 and 15. From 20 to 59, everything is also clear. But the next tens did not fit on one sheet in width, so you have to work a little and figure out when gluing. Hope you can handle it.

Dima was very impressed with the new tables! He immediately noticed that on one table the numbers were black and orange, and on the other - green. He really enjoyed traveling the number tape in search of the numbers that I call.

It's simple, isn't it?

In order to learn how to solve examples, you need to solve them.

It's simple, isn't it?

But where can I get many, many examples so that a child can develop a confident skill in solving mathematical examples within the first two dozen?

It is not recommended to buy school workbooks for preschoolers.

But you can download leaflets with examples here.

By the way, they need to be printed out in several copies at once.

And if for the first time the kid makes a mistake while solving it, after a while it will be possible to repeat the work.

And then decide on the speed. Let the child mark the time it took him to solve all the examples.

Dear Readers!

All materials from the site can be downloaded absolutely free. All files are scanned by antivirus and do not contain hidden scripts.

Pictures in archives are not watermarked.

The site is replenished with materials based on the free work of the authors. If you want to thank them for their work and support our project, you can transfer any amount that is not burdensome for you to the account of the site.

Thank you in advance !!!