Download presentation polygons. Polygons. presentation for a geometry lesson (8th grade) on the topic. Lesson topic message

“Area of ​​a rectangle lesson” - 5 cm. Draw a square with a side of 5 cm. 3 cm. A = 5 cm. Setting the goal of the lesson. Method 2: 3+3+3+3+3 = 3 * 5 = 15 (cm2). Draw a rectangle with sides 5 cm and 3 cm. 5 + 5 + 5 + 5 + 5 = 5 * 5 = 25 (cm 2). Method 1: 5 + 5 + 5 = 5 * 3 = 15 (cm2). How to find the area of ​​a square? H = 3 cm. Grebennikova Elena Viktorovna, primary school teacher at Municipal Educational Institution Secondary School No. 5 in Strezhevoy.

“Rectangle rhombus square” - Rhombus. D. Square." Solving problems using ready-made drawings. Answers to the screening test. Solving problems on the topic “Rectangle. Screening test. C. A. Given: ABCD is a rhombus. Theoretical independent work Fill out the table, marking the signs + (yes), - (no). Purpose of the lesson: To consolidate theoretical material on the topic “Rectangle.

“Area of ​​a polygon” - 1. 7. V.S. Warm-up task 1. 2. Write down the correct sequence of numbers. Color (one or more)? Your task is to paint the house! 3. ? 5. 4.

“Areas of figures geometry” - S=AD*BH. b. A. Teacher: Ivniaminova L.A. Figures having equal areas are called equal in area. S=(a?b):2. C. a. Material for a geometry lesson in 8th grade. H. D. Areas of figures. Equal figures have equal areas. S=a?b.

“Mathematics rectangle grade 2” - 39. 6. How are figures No. 4 and No. 5 similar? How are they different? 1.Count the “chain” 90 - 45 -9 + 14 -12 +6 – 8 + 3 =. 60. 42. 45. 2.Increase each number by 3 to 60. I don’t want to play hide and seek today. Perimeter of a rectangle. Geometric material. 57. Oral counting. Read the poem.

“Lesson 2nd grade Area of ​​a rectangle” - Formulas. We are great students! b. L. Key. We are diligent! D. Mathematics 2nd grade Opening lesson Area of ​​a rectangle. Triangle segment polygon rectangle quadrilateral square. A. We will succeed! R - ? Square - ? Expressions with a variable. 8: a P = (a + b) · 2 4 – x c: 3 P = a + b + a + b P = a · 2 + b · 2 14 + y.

World

geometric

figures

MBOU KSOSH No. 32 named after Hero of the Soviet Union M.G. Vladimirov

teacher classes: T.A. Sorokina




Logic problem:

From the given 5 squares from the matches, subtract 3 matches so that three of the same squares remain.


Six obtuse angles inside

Look at the figure

And imagine that from a square

We got his brother.

There are too many angles here

Are you ready to name him?

polygon


Look at the figure

And draw in the album

Three corners. Three sides

Connect with each other.

The result was not a square,

And beautiful...


I am a figure - no matter where,

Always very smooth

All angles in me are equal

And four sides.

Kubik is my beloved brother,

Because I...


We stretched the square

And presented at a glance,

Who did he look like?

Or something very similar?

Not a brick, not a triangle -

Became a square...


The triangle has been filed

And we got the figure:

Two obtuse angles inside

And two spicy ones - look.

Not a square, not a triangle,

But it is still a polygon.


Slightly flattened square

Invites you to identify:

Acute and obtuse angles

Eternally bound by fate.

Have you guessed what it's all about?

What should we call the figure?


The wheel rolled

After all, it looks similar

Like a visual nature

Only for a round figure.

Did you guess it, dear friend?

Well, of course it is...


It seems like a circle, but the thing is

What else do we call

Drawn circle.

What's the secret? Tell me, my friend!

This strange appearance

It's called...


He looks like an egg

Or on your face.

This is the circle -

Very strange appearance:

The circle became flattened.

It turned out suddenly...




Mental arithmetic Compare the texts of the problems. How are they similar and how
are they different?
At one stop, 10 people got off the bus,
on the other – 20. How many fewer passengers
what happened on the bus?
One stop from the bus
10 people came out, another - 20,
How many people left
bus?
Is it possible to say that the solutions
are the tasks the same?

Lesson topic message

Review the drawings.
What pattern did you discover?
The names of which figures do you know?
What difficulties did you encounter?
How can you call all the figures one
in a word?
We will talk about this. Read it.

Defining Lesson Objectives

POLYGON AND ITS ELEMENTS
Define the objectives of the lesson using supporting words:
We will get to know…
We will find out...
We will remember...
We will be able...
We can reflect...
We will get acquainted with the concept
"polygon", let's learn to find and
designate its peaks.

You already know how to distinguish and depict
paper shapes such as a triangle,
quadrangle, pentagon. Such
the figures are usually called
polygons.
Look at the picture on P. 42
textbook.

Studying new material S. 42, No. 1 (u.)

Cookies at a confectionery factory
made in the shape of polygons,
depicted in the textbook. What can you call
Each of them?
triangle
quadrilateral
pentagon
How many angles does each figure have?

Learning new material

Consider a yellow polygon.
Output: in a yellow polygon
5 corners, 5 sides, 5 vertices.
How many angles does it have?
What shape is each side?
How many sides does it have?
What shape is the top?
How many peaks does it have?

Learning new material

What can you say about the number of angles,
sides and vertices in each
polygon?
Conclusion: in any
polygon of angles,
sides and vertices equally.

Learning new material

How many angles are there in a heptagon?
How many vertices are there in a decagon?
How many sides are there in
decagon?

Learning new material

How to determine the name of this polygon?
What is the easiest thing to count?
Count the vertices of the polygon.
What is it called?

Learning new material

Are there monogons?
What about double-headed ones?
Which of the polygons has
smallest number of angles?
What is the name of a polygon that has
100 peaks?

Learning new material

Let's learn how to show elements
polygon.
Vertices are points.
The sides are segments.
We will show the angles
by rotating the pointer.

Learning new material

The vertices of the triangle are indicated
letters.
You can read the designation
in different ways, starting
from any peak
ABC, BAS, CAB, BSA,
DIA, SVA.
IN
A
WITH

Conclusion

Read it.

Work according to the textbook P. 43, No. 2

What is shown in the picture?
What is the data called?
polygons?

Work according to the textbook P. 43, No. 3

Work according to the textbook P. 43, No. 4

Work in notebook P. 16, No. 1

Work in notebook P. 16, No. 2

P.44, No. 7 (textbook)

Find the sum and
difference of numbers: 9 and 7.
9 + 7 = 16
9–7=2

P.44, No. 7 (textbook)

Find the sum and
difference of numbers: 8 and 5.
8 + 5 = 13
8–5=3

P.44, No. 7 (textbook)

Find the sum and
difference of numbers: 10 and 3.
10 + 3 = 13
10 – 3 = 7

P.44, No. 7 (textbook)

Find the sum and
difference of numbers: 7 and 7.
7 + 7 = 14
7–7=0

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Slide captions:

Mathematics teacher MBOU secondary school No. 14 of the city of Temryuk, Krasnodar Territory Boyarko Irina Gennadievna Lesson content

A C F G B ABCDEFG is a polygon. Segments AB, BC, CD, DE, EF,FG, GA - adjacent ones do not lie on the same straight line. Non-adjacent segments do not have common points. Name several pairs of non-adjacent segments. D E

A C F G B A,B,C,D,E,F,G- polygon. D E vertices

C F G B AB , BC, CD, DE, EF, FG, GA - sides of the polygon D E A

C F G B The sum of the lengths of the sides AB, BC, CD, DE, EF, FG, GA is called D E A the perimeter of the polygon P = AB + BC + CD + DE + EF + FG + GA Educational portal “My University” - www. moi-university. ru Faculty of Educational Reform - www. edu-forma. ru

A polygon with n angles is called an n-gon. How many sides does an n-gon have? Educational portal “My University” - www. moi-university. ru Faculty of Educational Reform - www. edu-forma. ru

A C F G B adjacent vertices D E - two vertices belonging to the same side Educational portal “My University” - www. moi-university. ru Faculty of Educational Reform - www. edu-forma. ru

C F G B D E A AC, AD, AE, AF - diagonals of a polygon drawn from vertex A. Definition: A segment connecting two non-adjacent vertices is called a diagonal. Educational portal “My University” - www. moi-university. ru Faculty of Educational Reform - www. edu-forma. ru

Definition: A polygon is called convex if it lies in the same half-plane relative to any straight line containing its side. Educational portal “My University” - www. moi-university. ru Faculty of Educational Reform - www. edu-forma. ru

External area Internal area

Problem 2. How many diagonals does a pentagon have? Educational portal “My University” - www. moi-university. ru Faculty of Educational Reform - www. edu-forma. ru

Task. How many diagonals does a hexagon have? Educational portal “My University” - www. moi-university. ru Faculty of Educational Reform - www. edu-forma. ru

A Let's divide this polygon into several triangles, drawing all the diagonals from vertex A. How many triangles did you get? Find the sum of the angles of a polygon

What is the sum of the angles of a triangle? Find the sum of all the angles of this pentagon. A S=180°∙ 3 =540°

Does the sum of the angles of a pentagon depend on: Size? Forms? Colors? What does this amount depend on?

The sum of the angles of an n-gon is S=180°∙(n -2)

Option 1 Option 2 1. Find the number of diagonals of a rectangle 1. Find the number of diagonals of a square 2. Calculate the sum of all angles of a rectangle 2. Calculate the sum of all angles of a square 3. Find the sum of the angles of a convex 12-gon 3. Find the sum of the angles of a convex 8-gon 4. Indicate the numbers of non-convex polygons 1 2 3 4 4. Indicate the numbers of convex polygons 1 2 3 4 5. Find the perimeter of a rectangle with sides 4 cm and 7 cm 5. Find the perimeter of a square with side 12 cm Educational portal “My University” - www. moi-university. ru Faculty of Educational Reform - www. edu-forma. ru

Option 1 Option 2 1. Find the number of diagonals of rectangle 2 1. Find the number of diagonals of square 2 2. Calculate the sum of all angles of a 360° rectangle 2. Calculate the sum of all angles of a 360° square 3. Find the sum of the angles of a convex 12-gon 1800° 3. Find the sum of the angles of a convex octagon is 1080° 4. Give the numbers of non-convex polygons 1 2 3 4 4. Give the numbers of convex polygons 1 2 3 4 5. Find the perimeter of a rectangle with sides 4 cm and 7 cm 22 cm 5. Find the perimeter of a square with sides 12 cm 48 cm

Used literature: L.S. Atanasyan, Geometry 7-9 (textbook for general education institutions). – M.: Education, 2005 Pictures: http://www.gifzona.ru/pozd_1s.htm http://images-photo.ru/photo/7-2-0-0-2 http://www.webman .ru/animation/main.htm

1. Polygon 2. Convex polygon 3. Problem solving 4. Laboratory work 5. Independent work