Divide the figure into 3 equal parts. Olympiad, logical and entertaining problems in mathematics. Cutting problems. V. Message of the topic, objectives of the lesson

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Levochko A.V.Abstract

OOD FEMP SUBJECT

: “Division into equal parts” Target: creating a social situation for the development of cognitive activity and clarification, expansion and activation of vocabulary on the topic, development grammatical structure.

speeches- Tasks:Create conditionsForchildren's activities to learn the rules;

- dividing an object into equal parts at prazhn leniyain dividing an object into 8 equal parts by folding diagonally;skill development

show one part of eight, as well as 2/8, 5/8,8/8 Methods and techniques:

"We shared an orange..."

We shared an orange

There are many of us, but he is alone.

This slice is for the hedgehog,

This slice is for the swift,

This slice is for ducklings

This slice is for kittens,

This slice is for the beaver,

And for the wolf - the peel.

He is angry with us - trouble!

Run away somewhere

What were the animals doing?

Activation of children's speech.

Shared

Conditions for a friendly atmosphere and mood for the upcoming work.

Conditions for speech and mental activity.

Main part

Today we will learn how to divide an object into 8 equal parts.

And these squares will help us learn how to divide an object into 8 equal parts.

(I hand out squares)

Today we will learn a lot of new things! Watch and listen carefully to what I will do.

I have a paper square, I will fold it in half, trim the ends exactly, iron the fold line and cut along the fold line.

How many parts did I divide the square into?

That's right, I folded the square in half once and divided it into 2 equal parts. Today we will divide objects into equal parts.

Are these parts equal? (I fold the square, convincing the children that its parts are equal).You get 2 equal parts. Here is one half of the square, and here is the other half (showing)

. What do these parts look like?

Guys, now try dividing the square in half into 2 equal parts.

Well done. What have I just shown? How many halves are there in total?

What is called half?

Half is one of 2 equal parts of a whole. Both equal parts are called halves. Each part is called one half or half because it is divided into two equal parts.

How did we get 2 equal parts?

Can these parts be called halves?

Why?

Now I'll take one part of the square and divide it in half. I will do the same with the other part of the square.You get 2 equal parts. Here is one half of the square, and here is the other half

How many parts are there now?

Let's try to divide the two parts of the square in half.

When we divided a square into two equal parts, each part was called one half. Now we have divided it into four parts. What is the name of each part? Each of the parts is called one fourth, therefore we divided the whole into four parts, also this part is called a quarter.

Now we will divide these 4 parts in half.You get 2 equal parts. Here is one half of the square, and here is the other half

The children do it.

How many parts are there now?

After the work is completed, children are asked to show 1/8, 2/8, 5/8, 8/8 parts of the square.

How many parts did you divide the square into?

What is the name of one part?(One eighth)

2. Physical education minute

Hands pressed to the body

And they began to make jumps.

And then they started galloping,

Like my elastic ball.

Lined up again

It was like going to a parade.

One-two, one-two

It's time for us to get busy.

3. "Object Modeling"

Now let's make a display case for the store, in which there will be toys.

What toys are sold in the store?

Children's answers.

Let's think about what kind of toy can be made from triangles.(showing examples of toys)

4. Outdoor game"Find your other half" .

Each child is given a half of a different size. At the signal, they must find a half equal to their half.

5. Outdoor game"Find Your Quarter" .

Each child is given a different size quarter. At the signal, they must find a quarter equal to theirs.

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children share.

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Children's answers

Conditions for cognitive, speech, motor and creative activity. Activation of the speech of children's passive and active vocabulary;

Reflexively evaluative

What activity did we have?

What new have we learned?

What did we do today?

What have you learned to do?

If an object is folded in half once, how many parts will there be?

What parts will you get?

What are their names?

How many times do you need to fold an object in half to get 4 equal parts?

You guys were all great today!

Expected answers from children

Children's answers

Children's answers

Children's answers

Oksana Mishunina
Dividing objects into several equal parts. Summary of mathematics lessons in the senior group

Lesson notes on F. E.M.P. in senior group"Cornflower"

Subject: Dividing objects into several equal parts

Educator: Mishunina O. I.

Types of children's activities: gaming, communicative, productive, cognitive and research.

Goals: Teach children to divide an integer by 2 and 4 equal parts by folding the item in half/(on 2 parts) and in half again (by 4 parts) ; teach to reflect actions and results in speech divisions(folded in half to make 2 (4) equal parts, half of a whole, one of 2 parts, one of 4 parts); give idea of that half is one of 2 equal parts of the whole; show the relationship between the whole and part(the whole is greater parts, part is less than the whole); teach to answer with a complete answer; strengthen the ability to see equal number various items .

Planned results: has basic concept of dividing a number into parts, about geometric shapes, retains in memory when performing mathematical actions necessary condition and acts with concentration for 15-20 minutes, knows how to work collectively, participates in outdoor play, actively interacts with the teacher and peers.

Materials and equipment: geometric figures.

Dispensing material: each child has a circle, 3 paper rectangles and 1 card. (The cards have some items in quantity 3, 5, 7, 9 pcs. Drawings items located differently.)

Repetition of what has been covered.

Geometric on the blackboard figures: square, rectangle, circle. Repeat the names of the figures. Exercise: find "extra" figure.

Introductory Part.

V-l: “Children, today we will learn a lot of new things! Look and listen carefully, What will i do. I have a strip of paper, I'll fold it in half, exactly I'll trim the ends, I'll iron the fold line. How long parts I divided the strip? That's right, I folded the strip in half once and divided it by 2 equal parts. Today we will share with you objects into equal parts. Are these parts equal??»

The teacher folds the strip, convincing the children of its equality parts.

"We got 2 equal parts. Here is one half of the strip, and here is the other half. What have I just shown? (Parts of the strip) How many halves are there? (2)

"Half is one of 2 equal parts of the whole. Both are called halves equal parts. This is half and this is half of a whole strip. How many of these are there? parts in a whole strip(2) How did I get 2 equal parts? (bent in half) What more: whole strip or one of 2 its equal parts(whole) What less: whole strip or one of its halves (Part) And if I fold the strip like this (not in half, how much parts I divided her? (2) Is it possible to call the parts halves(No) Why?" (they are not equal)

Main Part.

V-l offers For the child, fold the circle in half once.

“So what did you do, what happened?”(fold the circle in half to make a semicircle)

Let's color one of the halves of the circle.

Gymnastics for the eyes.

"Vegetables"

The donkey walks and chooses

Doesn't know what to eat first.

The plum is ripe at the top,

And nettles grow below,

On the left - beets, on the right - rutabaga,

On the left is a pumpkin, on the right is a cranberry,

Below is fresh grass,

On top there are juicy tops.

I couldn't choose anything

And he fell to the ground without strength.

V-l asks questions:

"That more (less): whole circle or one of 2 equal parts(half of it?

V-l again offers fold the circle in half, and then 2 equal parts fold the circle in half again; divide a paper rectangle into 2 equal parts and half again.

How many times did you fold the circle in half? (2) A rectangle (2) How much did it turn out? parts(4) Are these parts equal?(Yes)

The child circles his hand around each of the 4 parts.

V-l: "That more (less): one of 4 parts whole or whole circle (circle) How much did it turn out? parts when we folded the circle in half once (2) How much did it turn out? parts, when we folded the circle in half twice?” (4)

Educator offers For children, fold the rectangle in half once; reminds you that you need to fold accurately so that the sides and corners match.

Asking questions:

“What did you do? What happened? Are the parts equal?(equal) That more (less): half a whole or a whole rectangle?” (whole)

“What did you do? What happened?"

Children trace each of the 4 parts.

Game moment.

Children are divided into 2 teams on the rugs. Half circles lie in the middle different colors (yellow and pink). The task of each teams: who will collect circles faster. One is pink, the other is yellow.

Final Part:

V-l: “What have you learned to do? If item fold it in half once, then how much parts will work out? What will happen? parts? What are their names? How many times should you fold it? item in half to make 4 equal parts?»

The teacher says that now the children will learn to select cards that have equal numbers of different items, And offers to count, How many items drawn on their card. He further explains exercise:

“I will name the numbers, and those who have the same number drawn on the card items, will come forward, stand in a row and show all the children their cards.”

The teacher calls the numbers, the children come out, show cards and say how many of which objects are drawn on them. Sets question: "For how much items drawn on cards?

Well done boys. Everyone worked well today.

In the evening I will go to the store to buy bread. I need half a loaf of bread. How a salesman cuts a loaf of bread (Children: in half)

Summarize.

Guys, what did we do today?

What do you remember?

Class is over.

Sections: Primary School

Lesson objectives: to introduce methods of dividing a circle into equal parts; develop graphic skills, creative thinking; cultivate curiosity and accuracy.

Methodological goal: formation of components of students' research culture, development of cognitive independence.

Equipment:

writing on the board
table “Dividing a circle into 6.3 parts”
geometric figures
blanks - circles,
individual stripes.

1. Expressions.

We continue our acquaintance with the celebrities of the Belgorod region.

– Poet, friend of A.S. Pushkin, first “Decembrist”. Born in the village. Khvorostyanka, Gubkinsky district. Who is he?

You will find out the name of this person by calculating the value of the expression:

20 – Lomakin
12 – Raevsky
11 – Degtyarev

– Journalist, writer, born in the city of Korocha. Famous researcher of the life and work of A.S. Pushkin:

50 – Bokarev
16 – Stankevich
27 – Hesse

– Actor, friend of A.S. Pushkin. The regional theater bears the name of this man:

56 – Shchepkin
32 – Vatutin
10 – Shukhov

2. Drawing up and solving problems using short notes.

3. Geometric figures today - my assistants in oral counting. Let's solve circular examples.

4. How many figures do you see on the poster (6)

– Check (on the reverse side there are colored outlines)

(write down only answers)

We repeat the units of length.

The height of the house is 15 m. Express this in dm.

A skier ran a distance of 1 km. How many m is this?

The height of a person is 1m.70cm. Express in cm.

The length of the ant is 1cm.3mm. How many mm is this?

Find the length of a broken line consisting of 4 links of 3 cm each.

From home to school 1000m. How many kilometers is this?

The height of the birch is 150 dm. Express this in m.

(Submit for verification)

Look at the row of figures

– Which figure has the most names? (list)

– Which figure is the odd one out? Why?

– Today we will work with this figure and the circle. We will learn to divide them into equal parts.

VI.

– What can you compare a circle with?

– We know the circle has one friend
Its circumference is familiar to everyone.
She walks along the edge of the circle
And it's called a circle

– What can a circle be compared to?

Let's stand up and build a circle.

• Practical work with circles.
• Bend the circle along one of its axes of symmetry.
• Expand. What did you notice?
• The circle is divided into 2 equal parts. This means that the circle is divided into 2 equal parts.
• We can say that if a circle is divided into 2 equal parts, then the circle is divided into 2 equal parts.

• Can you guess how to divide a circle into 4 equal parts? (bend again)
• Unfold the circle and count. How many axes of symmetry are there in the circle? (2)

Take the squares and determine how many right angles are formed when bending the circle? (4)

We once again made sure that the circle was divided into 4 equal parts. What is a side in a circle? right angle? (radius)

– If the circle is divided into 4 equal parts, is the circle divided into 4 equal parts?

How can this be proven? (edges match)

Consolidation. - Independent work.

B1 – No. 226 (t), B2 – No. 225 (t)

The student of the second option works at the board.

Examination

1) Textbook p.71.

• How many points are marked on the circle?
• How many parts is the circle divided into?
• Measure the length of the radius and the distance on the circle between two adjacent points. What did you notice?
• Check whether all distances between adjacent points are the same throughout the circle.
• Can we say that the circle is divided into 6 equal parts?

2) Consolidation.

Let's try to divide the circle into 6 equal parts.

In a small notebook.

1) build a circle;
2) without changing the radius, we put points;
3) Working with the table.

The circle is divided into 6 equal parts. Who can guess which of these points divide the circle into 3 equal parts?

Select points one at a time.

- this is how the circle is divided into 3 equal parts.

Where in life can you apply this knowledge?

Which one of you loves handicrafts?

On the “Fantasy” mug you make beautiful crafts. Today you have the opportunity to work with “magic circles” and come up with your own unique pattern or applique.

To the music: cut the circle into 6 parts and get to work.

XII. Homework.

B1 No. 229 (notebook) No. 276 (textbook); B2 No. 229 (notebook) No. 230 (notebook) – commenting on assignments.