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Slides captions:
1 2 3 4 Unit of time 2. Unit of mass 3. Hundredth of a number 4. Instrument for measuring the length of segments I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I IIII I 0 1 2 3 4 5 6 7 8 9 10 11 12 Gram
straight beam cut
How was this figure formed?
An angle is a figure formed by two rays coming out of the same point. O A B AOB Corner side Corner vertex
The sign for designating an angle was introduced in the 18th century by the French mathematician Pierre Erigon Erigon used the sign to designate a right angle
Write down the angles shown using the “” sign, indicate their sides and vertices. M O K A B S If you completed the task correctly, then you have written down:
Consider the drawing carefully. It shows points that belong to ABC and do not belong to ABC. So, points P, E, D, K belong to ABC, points M, O do not belong to ABC, moreover, points P, K lie on the sides ABC. A B C R K E D M O
Look carefully at the picture and name the points that belong to ROD and do not belong to ROD. If you completed the task correctly, then you have named points: Points T, A, B, C, K belong to ROD. Points M, H do not belong to ROD. R O D T S V A N K M
A= B A B A C A
Equal angles coincide when superimposed If one angle is superimposed on another and they coincide, then these angles are equal or
ACUTE BLUNT DIRECT REVELATED
O A B Two rays complementary to each other form a developed angle
Consider the drawing carefully. Write the angles in ascending order of their magnitudes. If you completed the task correctly, then you have written down: AVD, ROS, MKE K M E R O S V A D
Hour 1 2 3 4 5 6 7 8 9 10 11 Angle O O P T T R T T P O O 12 3 9 6 1 2 11 10 5 4 7 8 Determine the type of angles that the hands of the clock form. CHECK O - ACUTE P - DIRECT T - DULL P - DELIVERED
On the topic: methodological developments, presentations and notes
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- Presentation to the math lesson on this topic "Injection. Types of corners»
Presentation compiled
Soboleva L.G.,
primary school teacher
MBOU "Secondary School No. 3", Glazov
Game "Mathematical basketball"
Well done!
30 + 7 25 + 5 32 – 12 66 + 4 80 – 7
28 – 10 45 – 45 53 + 7 59 – 9 90 + 9
The game "The Fourth Extra"
Divide the figures into two groups
LINES
POLYGONS
Crossword "Geometric"
Geometric figure that has a shape
extended circle.
The smallest geometric figure.
A geometric figure that has no corners.
The part of a straight line that has a beginning
but there is no end.
L At H
K R G
T ABOUT CH K A
O V A L
Injection is a geometric figure formed by two different rays
with a common beginning.
Angle designation
Dot ABOUT- top corner.
Rays OA And OV- the sides of the corner.
Sharp corner is an angle that is less than a right angle.
Obtuse angle is an angle that is greater than a right angle.
The game "The corner gave them a name"
rectangle
____gon
triangle
____gon
____gon
pentagon
hexagon
____gon
____gon
polygon
____gon
quadrilateral
SINKWINE
- 1noun (what?)
- 2 adjectives (which?)
- 3 verbs (what to do?)
- Sentence
- Association (synonym)
Build right angle
1. Take a square and a pencil.
2. Circle the corner, as in my picture.
We are building sharp corner
Take a ruler and a pencil.
draw a straight line
And then another like mine
Attach a square. What do you think?
Attach a square. What do you say?
Let's build
obtuse angle
Take a ruler and a pencil.
draw a straight line
And then another one like
I have.
- found out
- understood
- learned
Homework
- Design and draw various objects using circles, ovals, dots, rays and angles
(task to complete on a landscape sheet)
THANK YOU FOR YOUR WORK
I wish you creative success
- Development of logical thinking, attention, memory, spatial imagination;
- Development of creative skills and abilities on the topic for the successful completion of tasks;
- Development of culture of speech and emotions of students.
3. Educational:
- In order to solve problems moral education to promote the education of humanity and collectivism, observation and curiosity, the development of cognitive activity, the formation of skills for independent work;
- In order to solve the problems of aesthetic education, to promote the development of a sense of beauty in students.
DURING THE CLASSES
I. Organizational moment.
Well check it out buddy
Are you ready to start the lesson?
Everything is in place
Is it all right
Pen, book and notebook?
Is everyone seated correctly?
Is everyone watching closely?
Everyone wants to receive
Only a rating of "5".
Guys, today we will again go on a journey through the Kingdom of Geometry.
3. Oral account.
2 slide
King Point and his daughter, Princess Straight, meet us at the gate. Before the king and princess introduce us to the inhabitants of their kingdom, they want to test you.
II. Verbal counting.
(Slide 3)
1) The game "Confused Caterpillar".
The caterpillar has lost the numbers, look at the rest, guess by what rule you can continue the series of numbers. (Children call the rule: these are even numbers; each subsequent number is 2 more than the previous one).
What numbers did the caterpillar lose? (2,4,6,8,10,12,14,16)
(Slide 4)
2) The game "Mathematical Basketball".
Basketball- command sports game, the purpose of which is to throw the ball into a suspended basket with your hands.
Either of you will score a goal if the example solves correctly. (Children solve examples in a chain). 30 + 7 25 + 5 32 - 12 66 + 4 80 - 7 28 - 10 45 - 45 53 + 7 59 - 9 90 + 9
slide 5
Logic task
How many snouts do 15 piglets have? (15)
When a goose stands on two legs, it weighs 4 kg. How much will a goose weigh when it stands on one leg?
6 slide
You have passed all tests. The king and princess are very pleased with you and are ready to introduce you to the inhabitants of the Geometry Kingdom!
(At a click, the gate leaves open.)
(Slide 7)
Guys, before you are the inhabitants of the kingdom "Geometry".
Look at the shapes in each frame. Which one is redundant? Why?
(Students name extra figures, justify their choice).
Divide all remaining shapes into two groups. How can I do that? (The remaining figures can be divided into two groups: lines and polygons.)
Name the types of lines and polygons that you know. (Lines: straight line, broken line, curve. Polygons: square, trapezium, rectangle, quadrilateral, pentagon, hexagon, polygon).
IV. Working on new material.
(Slide 8)
1) - The crossword puzzle will tell you the topic of the lesson. Crossword "Geometric".
1) A part of a line that has a beginning but no end. (Ray).
2) A geometric figure that has no corners. (A circle).
4) A geometric figure that has the shape of an elongated circle. (Oval).
The topic of our lesson is hidden vertically. Find her. (Injection). (click fly out geometric shapes).
Please state the topic of our lesson.
Guys, why are we going to study angles?
Do you think this knowledge will be useful to you?
(children's answers)
Corners surround us in everyday life. Give your examples of where you can find corners around us.
Guys, maybe someone knows what an angle is? (children's opinions are heard)
We will check the correctness of our formulation a little later.
People of what professions most often meet with angles? (constructor, engineer, designer, builder, architect, sailor, astronomer, architect, tailor, etc.)
slide 9.
Look at the pictures: connecting corner for pipes and stationery corner for papers; a carpenter's square and a drawing square; corner table and corner sofa.
Guys, and now the King and the Princess offer to play a little.
slide 10.
The game "The corner gave them a name."
Angle is an important figure. He helped to name many figures. Name the figures.
What do the names of the figures have in common? (that they have a square - a common part)
Why is the first part of words different everywhere? (because the number of corners is different)
Fizminutka 11-16 slides
slide 18.
Guys, now step back one cell from the red fields and put a point O. Draw two rays from this point.
On the board, draw a point O (4-5) in advance. Call 4-5 children to draw the rays on the board.
What shapes did we get? (injection)
See how different these angles are.
Guys, now assemble the rule from words.
Work in pairs.
(Output: an angle is a geometric figure formed by two different rays
with a common beginning).
Guys, now look at the figure that I drew.
Is it a corner or not.
(Children say - no, once again we return to the rule, after that we conclude that this is also an angle - deployed)
Slide 19. (output by angle)
poster on chalkboard
Point O is the vertex of the corner. An angle can be called a single letter written near its top. Corner O. But there can be several corners that have the same vertex. How to be then? (On the sheet is a drawing of such angles)
Children's answers.
In such cases, if you call different angles with the same letter, it will not be clear which angle is in question. To prevent this from happening, one point can be marked on each side of the corner, put a letter around it and designate the corner with three letters, while always writing in the middle a letter denoting the top of the corner. Angle AOB. Rays AO and OB are the sides of the angle.
poster on chalkboard
slide 20.
Guys, you have different types of corners on your tables. Please find the same types of angles.
How will you search? (children's answers)
One person on my models is looking for the same angles.
Guys, look, numbers 6 and 7 coincided completely, but 1 and 5 did not. No. 5 more.
What can be the conclusion? After the children answer, a slide appears.
CONCLUSION: slide 21
- Equal angles when superimposed coincide
- If one angle is superimposed on another and they coincide, then these angles are equal
slide 22.
Making a model of a right angle.
slide 23
It is not always convenient to determine the right angle by eye. To do this, use a ruler-gon.
What color is used to highlight an angle greater than a right angle? (blue).
Less direct? (Green).
What is the angle of the three proposed straight lines?
Why do you think so? (The vertex and sides of the corner coincided with the right angle on the square ruler).
How to determine the type of angle?
- To determine the type of angle, it is necessary to combine its vertex and side, respectively, with the vertex and side of a right angle on the square.
slide 24
Each corner has its own name. An acute angle is an angle that is smaller than a right angle. An obtuse angle is an angle that is greater than a right angle.
(Plates with the names of the corners appear on the board)
My mother took the paper
And turned the corner
Angle like this in adults
It's called DIRECT.
If the angle is already ACUTE,
If wider, then - STUPID.
slide 25.
Guys, is it always possible to impose corners?
No. (If drawn in a notebook ...)
To do this, there is a protractor, with which angles are measured. Angles are measured in degrees. Look at the types of transporters.
slide 26.
Very often we can observe the angles on the clock. The corners form hour hands.
Textbook work.
The task: Using the right angle model, find the right angles and write down their numbers. (Children complete the task on their own, then one student calls his answer, everyone checks the work).
With the help of a square, it is convenient not only to determine right angles, but the main thing is to build them. Let's build a right angle, everyone will call it one or three letters.
Slide 27-29 (The teacher is on the blackboard, and the children in the notebooks build a right angle. Peer review is performed in pairs).
I am ACUTE - I want to draw,
Now I will take and draw.
I lead two straight lines from a point,
Like two beams
And we see an ACUTE ANGLE,
like the edge of a sword.
And for the STUPID ANGLE
We repeat everything again:
We draw two straight lines from a point,
But let's spread them out.
Look at my drawing
He's like scissors inside
If there are two rings
We'll push it to the end.
Practical work to consolidate what has been learned.
You have wire on your desks. Make a right angle out of it and check with a square, then make it sharp and blunt.
7. The result of the lesson.
Tell me in a diagram about what today's math lesson gave you?
8. Homework.
Once upon a time
Went hunting
She took a bow
Two arrows are longer.
Point thought:
"What happens when I
I'm letting myself go
Two stronger arrows?
thought point
And did it
And here we have a corner.
beautiful, cheerful,
Beam two has
And at the point playful,
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