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Math puzzles with numbers for kids. Mathematical puzzles Portraits of scientists mathematicians

Rebus is a unique invention of mankind, helping to educate people in sharpness of mind, ingenuity, ingenuity. Adults sometimes like to indulge in solving such puzzles in their free time, but puzzles are the most fun for children. To combine the pleasant and the useful, we invite you to solve puzzles with numbers for children, which are given on our website with answers.

Puzzles are aimed at the logical development of the child.

How to solve them?

Mathematical puzzles are not puzzles that we are used to at school, although they may still contain some elements of such actions. Let's remember what a traditional rebus looks like.

Any word is taken for encryption. Then it is divided into parts and each part is encrypted. Having solved each part of the rebus separately, it is necessary to add the word.

Mathematical puzzles can be both linguistic and numerical in nature. For example, in a problem, by mathematical operations, you can calculate the required number. If mathematical puzzles with numbers for children are encrypted with words, then the task is simplified.

A selection of materials on the topic


Answers to this rebus: swift, family, magpie, pillar.

How can you use them?

You can solve puzzles in lessons with children of primary school age, as well as preschoolers in kindergarten or an aesthetic center, if they already know the numbers and know how to navigate them. At school, puzzles with Roman numbers can be connected to work, although it will be more difficult for children to solve them for the time being.

Of course, it is impossible to build mathematical classes completely on rebuses. But the lesson can be significantly diversified if, after several difficult tasks, a fun rebus is offered for children. If classes are held in a children's center or kindergarten, then mathematical puzzles for children can be offered daily, between games or other activities. Of course, they should be tied to the study of numbers, since children at this age are still poorly versed in numbers.

Mathematical puzzles can be given to children at home, of course, taking into account that parents will help them at home. At school, in an open lesson, if the teacher resorts to such tasks, he will surely succeed.

How to solve mathematical puzzles? Let's give some examples.

So, the first part of the word in the rebus is encrypted in the form of the word "glasses", in which you need to remove the first and third letters. So we get "chi". Further from the word "elephant" subtract the last letter. We get the word "number".

Another puzzle. The first part of the word is the note located in the middle of the first line on the stave (“mi”). The second part of the word is "nose", in which the second letter is equal to "y". If you put it all together, you get a "minus".

So, the rebus is not complicated, and younger students can also understand the principle of its construction. When the children get comfortable with the puzzles, you can invite them to come up with mathematical puzzles themselves. The kids love this kind of work. When everyone comes up with at least one or two problems, ask the others to guess. To do this, the kids must draw pictures for their puzzles on sheets of paper or on the board.

Another option for using puzzles is to prepare a competition for children's work. This can be done during Math Week or in preparation for a holiday. Hang your work with puzzles in a conspicuous place, for example, in the hall or assembly hall. It will be very interesting for parents to look at children's works and try to solve them. It is better not to hang puzzles with answers so as not to deprive the audience of intrigue.

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conclusions

Puzzles are very useful tasks for children, especially if they are able to teach new things. Mathematical problems not only allow you to repeat the material by numbers, but also develop ingenuity and ingenuity.

Children are very mobile and curious creatures. Puzzles are able to awaken their imagination and sharp mind, which will surely find a solution to the problem. Give the guys more food for thought, stimulate the process of thinking, creativity. Let mathematics be closely intertwined with philology and logic, because the interaction of objects allows you to feel the connection of various disciplines from childhood, which is so necessary for the formation of a holistic picture of the world.

A rebus is a riddle in which the desired word or phrase is depicted as a combination of figures, signs, letters, i.e. "objects". One of the main difficulties in solving puzzles is the ability to correctly name the object depicted in the figure and understand how the fragments of the picture relate to each other. It is necessary to take into account the presence of synonyms, the letter "fraction" can be read in different ways. In addition to knowing the rules, you also need ingenuity and logic.

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MOU "Secondary school d. Yurlovka Saratov district of the Saratov region" Vostrikova I.O. puzzles

A rebus is a riddle in which the desired word or phrase is depicted as a combination of figures, signs, letters, i.e. "objects". One of the main difficulties in solving puzzles is the ability to correctly name the object depicted in the figure and understand how the fragments of the picture relate to each other. It is necessary to take into account the presence of synonyms, the letter "fraction" can be read in different ways. In addition to knowing the rules, you also need ingenuity and logic. Puzzles Solve puzzles.

Find the missing figure?

What little man should be put instead of the question mark? ?

Collect FLOWER

How many triangles? 8

Top Beam Rebuses

Puzzles Problem Diameter

Puzzles Sign Five

Puzzles Diagonal Square

Puzzles Addition Subtraction

Puzzles Segment A Cuba

Puzzles T and \u003d a Point Eight O 7

Puzzles A D Two

Addition Problems In all problems, express the whole number with the numbers 1, 2, 3, etc., applied one time and arranged sequentially. Example. Write down the number 19 using the first four digits. Answer: 19 \u003d 12 + 3 + 4 1. Draw the number 24 with numbers from 1 to 5. 24 \u003d 12 + 3 + 4 + 5 3, 4, 5 and 6. 30 = 12+3+4+5+6 3. Write the number 37 using one, two, three and four. 37 = 1+2+34 4. Draw the number 45 using the numbers from 1 to 8. 45=12+3+4+5+6+7+8 5. Express the numbers 1, 2,3 and 4 the number 46. 46 =12+34 6. Represent the number 55 using the first seven digits. 55=1+2+34+5+6+7 7. Draw the number 69 using the numbers from 1 to 5. 69 = 1+23+45 8. Write the number 100 in two ways using 1,2,3,4, 5,6 and 7. 100 = 1+23+4+5+67 9. Express the number 102 with digits from 1 to 6 100 = 1+2+34+56+7 102 = 12+34+56 10. Imagine the number 333 with all numbers. 333=1+234+5+6+78+9

Rebus is a logic game in which you have to guess the answer from the picture. The latter depicts objects, animals and plants, letters and numbers. Their relative position matters. Even for fidgets, puzzles can be an exciting activity if presented in a playful way. For example, you can offer to teach a child how to solve spy ciphers.

And from the simplest picture puzzles for preschool age to get to relatively complex ones. We assure you: if your child gets carried away and learns to turn on logical thinking, over time you will already learn from him how to solve riddles in pictures.

Puzzles are invented on a huge variety of topics. The main thing is that every word, letter and object that serves as an answer to the picture should already be familiar to the baby.

How to solve puzzles for children with letters in pictures?

If you are interested in puzzles, then most likely you know the advantages of these logical puzzles. They develop memory, ingenuity, speed of thinking, the ability to navigate the situation and apply the knowledge already gained.

To teach a child of 6-7 years old how to solve tasks correctly, first explain the rules to him. No need to insist that he remember everything at once. Chances are you don't even know them all. It is better to explain one or two a day and reinforce them with thematic tasks. The latter can be printed (more convenient for outdoor activities) or shown from the monitor. In the next lessons, it is also better not to offer too much material. It is important to explain to the child that he first needs to correctly identify and name the object shown in the picture. And only then apply the rules in relation to this word.

So, let's read the basic rules! In particular, we will define what a comma, a strikethrough, an inverted object and other subtleties in pictures mean.

  • What does a comma mean at the beginning or end of a rebus?
    A comma at the bottom or at the top before the picture means that one letter at the beginning must be discarded from the name of the depicted object. Accordingly, we see two commas - we discard the first two letters. These icons are very common.
  • What does an inverted comma at the beginning or end mean?
    The rules for inverted commas are similar to the rules for regular commas (see previous paragraph).
  • What do the crossed out and added letters mean?
    A crossed out letter in the picture means that it must be excluded from the name of the drawn object (and another one should be added, if it is indicated). Added to the left or right of the picture - you need to add it to the word at the beginning and at the end.
  • What do the numbers in the puzzles mean?
    The numbers can have two meanings. Are they above the word? To guess the answer, you need to rearrange the letters from place to place in the indicated order. The name of the number can be part of the word (often use "one hundred", "five"). A crossed out number means that a letter with such a serial number must be excluded from the word. It should be remembered that some numbers, as well as objects, can have several names (the unit is “count”, “time”, “one”).
  • What does the plus sign mean?
    If there is a plus sign between the words (symbols), then they must be added to each other. Sometimes “+” means the preposition “to”, the right one is chosen according to the meaning. The "equal" sign (for example, A=K) indicates that all the letters "A" in the word should be replaced by the letters "K".
  • Vertical or horizontal line in assignments?
    The horizontal line means simultaneously “under”, “above”, “above” and “on”, depending on the context. Used with letters or pictures when one part is drawn below the line, the other is above. Sometimes denotes a fraction (half of something, that is, "half-").
  • Arrangement of letters in the picture and prepositions
    It is important to look at the relative position of the letters. If they are placed one inside the other, then the preposition "in" is added to their names. One letter is drawn after another - meaning the preposition "for" or "before".
  • The item in the picture is drawn upside down? To get an answer, you need to read the word backwards. Children 6-7 years old can turn short words in their minds. True, the number of such tasks is quite limited.

Most often, several rules are used simultaneously in puzzles. It is believed that at 6-7 years old children are already familiar with the letters, they clearly know their names. If a younger student has not yet encountered commas, teaching him a new icon will not be particularly difficult.

Examples of puzzles in pictures for children 6-7 years old with answers

Children 6-7 years old and less perceive the material much better in relation to some memorable event. Riddles about animals will be solved with delight if you offer them to your child the day after visiting the zoo. A first-grader girl who is eager to enter a music school will be interested in musical puzzles. And a child, a boy impressed by the planetarium, will like pictures about space.

About animals and birds

When giving children a task about birds or animals, make sure that he has already come across such names of animals, and also understands everything that is shown in the picture.

Rebuses about family, about mother

Who is the sweetest for a child, if not mommy! And who does he happily meet every time, except for mom and dad? Children will love to recognize and guess grandmother, grandfather, sister and other relatives in encrypted pictures. Print or draw colorful pictures and start having fun while teaching your child!

About sports, about health

Puzzles about work, health, sports, professions and many others can be used as thematic game aids. In the graduation group of the kindergarten, the first grades of school or at home, are classes or conversations planned on one of the topics? A riddle in the form of a picture will allow you to learn the material better than an ordinary faceless story. Kids will be interested in non-standard presentation of material.

Fairy tale puzzles

Fairy tales with familiar characters, modern or classic cartoons are an inexhaustible storehouse of inspiration. If the child is not very interested in logical riddles, you can try to captivate him by guessing his favorite characters. There are many more mysteries on this topic than are given as an example. Knowing the interests and favorite fairy tales of your child, you can create puzzles in the form of applications yourself.

Class layout:

1. Portraits of scientists mathematicians.

2. Wise thoughts:

"The greatness of a man is in his ability to think."
B. Pascal.

"Mathematics is the language that all exact sciences speak."
N.I. Lobachevsky.

3. Golden words:

  • Science and labor give marvelous shoots.
  • The more you learn, the stronger you become.
  • If you read books, you will know everything.

Opening.

Let someone like English
Who cares about chemistry
Without mathematics, all of us
But neither here nor there
We get equations like poems
And the sinuses keep the spirit alive
We have cosines, like songs,
And the reduction formulas
They caress the ear.

The students of the class were divided into two teams (boys and girls), places in the class were prepared for the teams, the participants sit around their table - this is the workplace of each team.

Warm up:

Question 1:

She speaks silently
But clear and not boring
You talk to her more often
You will become better and smarter.

Question 2:

It has few words, it has a lot of numbers and signs
And the look of the pages seems to be the same,
But life is reflected on the pages,
And life is full of variety.

(Math notebook).

Contest: From the history of mathematics. (this task was given to students in advance).

Team 1: The origin of trigonometry dates back to ancient times. Long before the new era, Babylonian scientists were able to predict solar and lunar eclipses. This allows us to conclude that they knew the simplest information from trigonometry. The very name "trigonometry" is of Greek origin, meaning "measurement of triangles." One of the founders of trigonometry is the ancient Greek astronomer Hipparchus, who lived in the 2nd century BC. Hipparchus is the author of the first trigonometric tables.

An important contribution to the development of trigonometry was made by Indian mathematics during the period 5-12 century AD. Indian mathematicians began to calculate not the full chord, as the Greeks did, but its half (that is, the “line of sines”). The line of sinuses was called by them "arkhajiva", literally meaning "half of the bowstring". The Indians compiled a table of sines, in which the values ​​of the half-chords were given, measured by parts (minutes) of a circle for all angles from 0 to 90 degrees. Indian mathematicians knew the ratios, which in modern notation are written like this:

  • sin 2 a + cos 2 a \u003d 1;
  • cos a \u003d sin (90-a).

Team 2: In the 15th-17th centuries, several trigonometric tables were compiled and published in Europe, the largest scientists worked on their compilation:

  • N. Copernicus (1540-1603);
  • I. Kepler (1571-1630);
  • F. Viet (1540-1603).

In Russia, the first trigonometric tables were published in 1703 with the participation of L.F. Magnitsky.

At the initial stages of its development, trigonometry served as a means of solving computational geometric problems. Its content was considered to be the calculation of the elements of the simplest geometric shapes, that is, triangles. Thus, trigonometry arose on a geometric basis, had a geometric language and was applied to the solution of geometric problems.

Trigonometry received its modern form in the works of the great scientist, member of the Russian Academy of Sciences L. Euler (1707-1783). Euler began to consider the values ​​of trigonometric functions as numbers - the magnitudes of trigonometric lines in a circle, the radius of which is taken as unity ("trigonometric circle" or "unit circle"). Euler gave the final decision on the signs of trigonometric functions in different quarters, derived all trigonometric formulas from several basic formulas, established several formulas unknown before him, and introduced a uniform designation: sin a, cos a, tg a, ctg a. Based on the works of L. Euler, trigonometry textbooks were compiled. The analytical (geometry-independent) construction of the theory of trigonometric functions, begun by Euler, was completed in the works of the great Russian scientist N.I. Lobachevsky.

Questions:

  1. Give the definition of sine, cosine in a unit circle (trigonometric circle). For what value of the angle a are these definitions valid?
  2. Give the definition of sine, cosine of an angle in the course of geometry. At what value a are these definitions valid? (0< A < 180, включая 0 и 180).

Contest:"Do you know the table of some angles."

Answers are given in turn in each command:

  • 1 team: sin 30, sin 0, ctg 60, tg 90, cos 90, ctg 45, cos 45, tg 180.
  • 2 team: cos60, tg30, ctg 0, tg 60, sin 180, sin 45, cos 360, ctg30.

Contest: Each team member marks a point on a unit circle (each task 1 point, correctly completed task 6 points, time is limited, we do not interfere with each other, the captain hands over the work to the jury).

Mark a point P a on the unit circle if:

  • a \u003d n / 6, a \u003d n / 2, a \u003d 3n / 4;
  • a \u003d - p / 6, a \u003d 2 p, a \u003d 5 p / 4;
  • a \u003d p / 3, a \u003d 3 p / 2, a \u003d - p / 4;
  • a \u003d n / 4, a \u003d n, a \u003d - n / 2.

Relay race.

Each team works on its own board, the boards are separated by sliding board doors and the participants cannot see the other team's record. A piece of chalk is passed like a baton.

Exercise: Write down 6 basic trigonometric formulas and double angle formulas.

Exercise: "Think" By rearranging the letters, make up the name of the scientist, using each letter.

  • VECHO - TANK - LIYS (Lobachevsky);
  • REL - HEY (Euler);
  • KINO - REPC (Copernicus);
  • NOTH-YUN (Newton);
  • NOSE - LOMOVO (Lomonosov);
  • MOUNTAIN - PIF (Pythagoras);
  • PERL - EK (Kepler);
  • PARG - HIP (Hipparchus).

Freezes from a barrel.

Each team member takes an example in the barrel, which has its own number, to the reduction formulas and writes only the answer in front of his number. The team captain must distribute responsibilities, since circles of signs of trigonometric functions must be drawn. The examples are designed so that for the first team this is the first example, and for the second team this is the last example (counting from the end). The same examples are written on closed boards for verification, but there are no answers.

sin (90+ a) \u003d cos a cos (180 - a) \u003d - cos a
cos (180-a) = - cos a tg (180 - a) = - tg a
tg(180 + a) = tg a sin (270-a) = - cos a
sin (360 + a) = sin a tg (270-a) = ctg a
cos (360 - a) \u003d cos a cos (360 - a) \u003d cos a
tg (270-a) = ctg a sin (360 + a) = sin a
sin (270-a) = - cos a tg(180 + a) = tg a
tg (180 - a) = - tg a cos (180-a) = - cos a
cos (180 - a) \u003d - cos a sin (90+ a) \u003d cos a

To check the answers, an absent-minded mathematician and his smart horse are invited from another audience. (He checks each answer of the first team and, of course, they stage it according to the story, costumes are required).

Story:(Horse rule). In the good old days, there lived an absent-minded mathematician who, when looking for an answer, change or not change the name of the function (sine to cosine), looked at his smart horse, and she nodded her head along the coordinate axis that belonged to the point corresponding to the first term of the argument p / 2 + a or n + a. If the horse nodded its head along the OY axis, then the mathematician believed that the answer “yes, change” was received, if along the OX axis, then “no, do not change.”

Rebuses.

Each team is given identical cards with puzzles that team members must solve, each guessed puzzle is worth five points.

The jury sums up the game.

Literature:

  1. N.N. Reshetnikov - lectures "Trigonometry at school".
  2. A.N. Kolmogorov - a textbook for 10-11 grades of high school "Algebra and the beginning of analysis."
  3. "Mathematics at School" magazine.

Math games puzzles in pictures for schoolchildren in grades 5-7

Klochkova Natalya Konstantinovna, teacher of mathematics, MBOU "Bukharai secondary school", village of Bukharai, Zainsky district
Description: This work can be used in mathematics lessons in grades 5–7. Solving puzzles can be offered to students during oral counting, can be offered as didactic material for homework. This work can serve as a guide for extracurricular activities, electives. Solving puzzles develops the child's ingenuity and teaches him to find a way out of difficult situations, which, of course, will come in handy in life. Guessing puzzles, children replenish their vocabulary, develop attention and imaginative thinking, train visual memory, learn to write correctly and memorize new words.
Target: development of intellectual abilities, the formation of logical thinking.
Tasks:
Educational: teach students to solve puzzles with mathematical themes.
Developing: to expand the horizons of students in the field of mathematics.
Educational: to cultivate a conscious attitude towards mathematics as an important subject.
Introduction:
A rebus is a puzzle in which a word is encrypted. This word is given in the form of drawings using letters and numbers, as well as certain figures or objects. Rebus is one of the most interesting puzzles.
In this picture, the word COMPUTER is encrypted.

There are certain rules for solving puzzles.
1. A comma at the very beginning of a word indicates that you need to remove the first letter in this word, and a comma at the end - remove the last letter in the word. Two commas - remove two letters. In the word mosquito we remove the last two letters AR, in the word iron we remove the first letter U and the last letter G.
2. Crossed out numbers indicate that the letters in this place are removed. In the word five, we remove the second and third letters, that is, YAT. If letters are crossed out, they are also removed from the word.
3. Non-crossed out numbers show that the letters in place 2 and 3 must be swapped. In the word iron, the letters T and Yu are interchanged with YUT. And now we read the word in full.
In this picture, the word PERPENDICULAR is encrypted.


4. If the drawing is upside down, then the word made up with the help of the picture is read from right to left. It is not the word turnip that is read, but aper. The first letter A is removed. In the word stump, the last letter b is removed. The word whale is read the other way around. In the word chair, the first two letters ST are removed. The names of all objects depicted in the rebus are read only in the nominative case.
5. "Arrow" or "equal" sign indicates that one letter must be replaced by another. In our case, in the word tick, the letter T must be replaced with the letter D. Now the word can be read in full.
On this picture the word EAST is encrypted.


6. Letters, words or pictures can be displayed inside other letters, above other letters, under and behind them. Then prepositions are added: IN, ON, OVER, UNDER, FOR. We have the number STO in the letter O, so we get B-O-STO-K.
In this picture, the word CARD is encrypted.


7. The numbers under the picture indicate that from this word you need to take the letters that stand in the places under the numbers 7,2,4,3,8 and compose them in the order in which the numbers are located. In the word cheesecake, you need to take the letters 7-K, 2-A, 4-P, 3-T, 8-A. You can read the word.
Let's try to solve some puzzles from the field of mathematics.
PROOF


FIVE


TASK


CONE


VERTEX


DIAMETER


DENOMINATOR


LOBACHEVSKY


MINUS


AXIOM


VECTOR


SUBTRACTION


TWO


DIAGONAL


TRIANGLE


RHOMBUS


DEGREE


ADDITION


NUMBER


DOT


STEREOMETRY


All tasks are decorated with bright pictures and interestingly illustrated, so the puzzles will captivate the children. And you can try to make it yourself. It will be even more interesting.
 


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