Open lesson standard form of number. How to make a lesson plan: step by step instructions. Standard and non-traditional forms of lessons

Screen, Presentation (PowerPoint) "Giants and dwarfs", Internet, projector, laptop, technological map for students 1 and 2. Laundry soap, dishwashing sponge, measuring cup, bottle of clean water, tea bag.

The purpose of the lesson ( for the teacher )

To promote the formation of students' convictions in the importance of knowing and applying the standard type of number through solving practical problems on the topic "Standard type of number".

Formed results

Personal

Provide value-semantic orientation of students, as well as orientation in social roles and interpersonal relationships

While working with study materials students will be able to:

Improve the ability to interact with each other, listen and hear others.

Control the process and the result of educational activities.

Evaluate the result of their educational activities, interest in studying the topic;

Desire to put into practice your knowledge

Adequately perceive the assessment of the teacher and classmates

Metasubject

Not related to the subject, suitable for any lesson, related to UUD

Ability to navigate the knowledge system.

Formation and development of practical thinking, the ability to apply it in cognitive, communicative, social practice and professional orientation.

The ability to correlate their actions with the planned results, to control their activities in the process of achieving the result;

the ability to create generalizations, establish analogies, classify, independently choose the grounds and criteria for classification, establish cause-and-effect relationships, build logical reasoning, inference.

Development of motivation to master the culture of active use of dictionaries.

subject

System Basics

scientific knowledge in a given subject area

In the course of working with text materials, discussions in pairs, with the teacher students will be able to:

Apply the acquired early knowledge to solving problems of a practical nature;

See the connection between mathematics and other subjects.

Solve physical problems in arithmetic and algebraic ways.

Lesson objectives (for teacher)

To achieve personal results

Organize and supervise group work;

To cultivate accuracy in the performance of tasks, responsibility, self-confidence;

− increasing the research interest, creative activity and involvement of students in the knowledge of the topic "Standard type of number in our life";

to form skills together with other children in the group to find a solution to the problem and evaluate the results. formation of motivation for learning, readiness of students for self-development and personal self-determination;

creation of conditions for the development of cognitive interest in children to study the topic.

To achieve a metasubject result

Formation of goal-setting skills, control of one's activities, correction and evaluation of results. Development of oral and written speech skills. Formation of work skills individually and in a group, education of students' communicative culture.

To achieve the objective result

To teach how to write numbers in a standard form, to consolidate knowledge on this topic.

The goal of the students (in the form of a learning task) is formulated at the prognostic level.

I will consolidate the ability to solve practical problems using a standard type of number;

I will find out where the notation of the standard form of a number is used, I will learn how to write numbers in the standard form.

Pedagogical technologies

System-activity approach, competence-based technologies: problem-based and dialogue learning, ICT, technology for the development of critical thinking through reading and writing

Methods for diagnosing external and internal educational products of a student.

Diagnostics of personal qualities (internal educational product): the results of his educational achievements on the topic (at the beginning of the topic and at the end of the topic)

Diagnosis of the student's external educational product is the student's verbal self-assessment, then the teacher's verbal assessment by observing his activity in the lesson.

Ways to evaluate the success of your lesson:

Aftereffect, i.e. transferring knowledge to other lessons, to other areas of science, to a life situation.

Formed concepts

Write a number in standard form. Applications of writing a number in a standard form in other areas.

Fundamental educational objects

The concept of a number, the translation of any number into a standard form

Methodological advice

The Internet is necessary, most children have the Internet on their phones, warn that the phones are charged, there is a positive balance, the office is equipped with computers, but it is convenient for children to sit compactly to discuss, argue, defend their opinions, evaluate each other's work. It is necessary that students give themselves points after each stage in the technological maps. There is a summary at the end of the lesson. The child receives 2 marks - personal and team and an assessment of personal results. A personal mark mainly expresses subject results, a team mark expresses meta-subject results. Evaluation is based on complete trust in each other, this brings up honesty, mutual respect, trust.

By the 7th grade, children are already accustomed to such an assessment system. To correct the grades, the teacher collects student flow charts at the end of the lesson. Trust the principle, but verify

Bibliography

A.V. Mironov "How to build a lesson in accordance with GEF" Volgograd "Teacher" 2016

M.P. Nechaeva G.A. Romanova "Interactive technologies in the implementation of the Federal State Educational Standard" M. "VAKO" 2016

ME AND. Perelman "Entertaining algebra. Degrees." M. "Olma Media Group" 2013

ME AND. Perelman "Entertaining algebra. Numbers and tricks. M. "Olma Media Group" 2013

Job title:

Place of work:

Contact number:

Radnaeva Zhargalma Rabzhinovna

Mathematic teacher

Municipal educational institution "Verkhne-Ivolginskaya secondary school" of the Ivolginsky district

89835349466

Time: 1 min .

1. The teacher welcomes the students, controls the preparation of jobs. The class is divided into 2 groups, comes up with the name of the team and presents the team members in an original way.

Pupils greet the teacher, check the preparation of jobs.

They choose a captain, come up with a team name and introduce themselves.

The living word of the teacher.

Regulatory: organization of the workplace, their activities

1. Educational tension (challenge and goal setting)

The result of the stage: Finding out the topic of the lesson.

Time: 3 min .

The teacher organizes the work of students to find the topic of the lesson.

math ring.

1) 1 round Exchange of blows. The 1st team gives out 1 word, in response the second team has its own word. The team that completes the ring wins. In their technological maps, everyone marks their ball. 1 word -1 point. As a result, at the end of the lesson, everyone will have individual and team points.

You must guess what we are going to talk about in this lesson.

Slide #1

I propose to the first team the concept of MEGA. Please explain the meaning of this concept. In what cases is it used?

You can use the Internet.

The second team I propose the concept of micro.

Please explain the meaning of micro. You can also use the internet.

Slide #2

So the prefix Mega is the number 1000000 = 10 6

So the prefix micro is the number 0.000001 = 10 -6

2) 2 round Sort the words by composition (morphemic analysis).

1st command you are given the floor

Megamillionaire

2nd command you have the floor

microwave

3) Round 3 Who is faster?

Now let's compare two numbers. 1. Which of the numbers is greater?

We found out that there is a big difference between the numbers.

2. How many times is the first number greater than the second?

3. What prefix is ​​used for the number trillion?

I will read you an excerpt from fiction.

4. You must say an excerpt from which work?

6. How does this passage relate to our lesson?

When he woke up, it was already quite light. He lay on his back, and the sun shone directly in his face.
He wanted to rub his eyes, but he could not raise his hand; I wanted to sit up, but I couldn't move.
Thin ropes entangled his entire body from armpits to knees; arms and legs were tightly tied with a rope net; ropes wrapped around each finger. Even his long, thick hair was tightly wound around small pegs driven into the ground and entwined with ropes.
He looked like a fish caught in a net.

7. Find words synonyms Gulliver-_______, Lilliputians-________

8. Formulate the name of the lesson

Slide 5.

That's right, the meta-subject topic of the lesson: "Giants and dwarfs."

9. And why is the topic of our math lesson like this?

1.Mega is a prefix of some word.

2. metropolis - a city with a million inhabitants;

3. megastar - a big star.

4. Mega popular

5. Mega Pascal - abbr. MPa million Pascal.

6.One million;

7. ten to the sixth power,

1. microscope - An optical instrument with highly magnifying glasses for viewing objects that are indistinguishable to the naked eye.

2. microbe (Greek mikros small, and bios life). A microscopic organism living in air or water; certain types of microbes are sources of disease.

3 .Micro

The first part of compound words with meaning. unit equal to one millionth of the unit named in the second part of the word
Example: microvolt, microroentgen, microstroke, microdistrict, microorganism.

4. one millionth, one divided by a million.

1. Megamillionaire mega- prefix, million- root, er- suffix, zero ending.

2. microwave micro prefix, wave - root, ovk - suffix, a - ending.

1.10 6 >10 -6

The first number is greater than the second

2. 10 6 :10 -6 =10 12 a trillion times

3. Tera

four." Gulliver in the Land of the Lilliputians"

5. Jonathan Swift

6. A larger number is Gulliver, and a small one is a midget.

7. Gulliver is a giant, midget is a dwarf.

8. "Giants and dwarfs"

9. We will talk about large and small numbers.

interactive whiteboard, presentation, student flow charts,

Personal:

Regulatory:

Forecasting the anticipation of the result and the level of assimilation of knowledge, its temporal characteristics;

Cognitive:

build logical reasoning

modeling - the transformation of an object from a sensual form into a model, where the essential characteristics of the object are highlighted (spatial-graphic or sign-symbolic);

Communicative:

organization and planning of educational cooperation with the teacher and peers;

expressing one's thoughts with sufficient completeness and accuracy

The ability to consciously use speech means in accordance with the task of communication to express one's feelings, thoughts and needs for planning and regulating one's activities; possession of oral, monologue contextual speech

2. Clarification of the educational object (Goal setting).

formulation of the goal of the lesson by students (in the form of a learning task)

Time: 3 min .

1. The teacher organizes the search work of students by setting goals and an action plan. Creates an emotional mood for work.

Slide #6

Solve examples: 1st team is the first example, the second team is the second example.

1000000000*2100000000000000=

0,00000000002*0,000000000003=

Slide number 7

1)1000000000*2100000000000000=10 9 *21*10 14 =21*10 23

2)0,00000000002*0,000000000003= 0,00000000000000000000006 =6*10 -23

Was it convenient to calculate and write down examples?

How can we do calculations if there is a lot of action in the examples and all numbers are either giants or dwarfs?

Yes, that's right.

Slide #8

Look at the following examples and make a conclusion:

The mass of the Sun in grams is:

1 983 000 000 000 000 000 000 000 000 000 000= 1,983*10 30

The distance to the Andromeda Nebula in kilometers is:

95 000 000 000 000 000 000= 9,5*10 18

The thickness of a human hair is 0.00007m=7,0*10 -5

The mass of a gold atom is: 327.02 * 10 -27 = 3,2702*10 -25

What did you notice in common in the entries of numbers?

Correctly. Single notation of numbers.

What do you think is the subject matter and purpose of our lesson?

A single record of a number or otherwise?

Let's open the textbooks on page 155 and find out how you can name the topic of the lesson differently.

What is the purpose of the lesson?

Slide #8

The standard form of a number.

1. 1000000000*2100000000000000=10 9 *21*10 14 =21*10 23

2 .0,00000000002*0,000000000003= 0,000000000000000000000006=6*10 -23

Uncomfortable. Takes up a lot of space. hard to remember

Student responses.

Perhaps there should be a general rule.

Numbers are written according to a certain rule.

The standard form of a number.

Learn to write numbers in standard form. Perform operations on standard numbers

Technological

lesson card

Personal:

Motivation for learning activities

self-determination

Ability to express your thoughts with sufficient completeness and accuracy, listen and engage in dialogue

Meaning formation The student should ask the question “what is the meaning, the meaning of the teaching for me”, and be able to find an answer to it

Regulatory:

Goal setting The ability to independently determine the goal of training

Planning

Cognitive:

Establishing relationships between data and question

structuring your own knowledge

(analysis, comparison);

Communicative:

Ability to organize educational cooperation and joint activities with the teacher and peers;

3. Explanation of the topic. Primary fixation of the topic.

Time: 9 min .

Let's make a plan for the lesson.

Come up with a lesson plan.

Slide #9

Let's study the topic of the lesson

a) look at the definition

b) How to write a number in standard form?

2. Fix the topic of the lesson by solving examples and tasks

3. Summing up the lesson

4. write down your homework

Assimilation of new knowledge.

Find the definition of the standard number form in the textbook.

Slide #10

standard type of numbera is called a record of the form a * 10 n , where 1≤а<10,

Recall what is a significant figure?

Consider the examples in the textbook:

Slide #11

273,095=2,73095*10 2

0,0234=2,34*10 -2

Draw a conclusion from the examples.

What needs to be done to bring the number to the standard form?

To bring a number to standard form, you need to move the comma in it so that it is directly to the right of the first significant digit, and multiply the resulting number by 10 n , where nis chosen so that the product is equal to the given number.

Slide #12

1. Each of you can easily answer the question how old are you, and to the question how many seconds are you able to immediately answer? Count how many seconds you have. And write in standard form.

3600*24*365*13=409968000s = 4.09968000s =4.09968*10 -8 ;

2. Distance Moscow Ulan - Ude on the highway is 5628 km, and in a straight line - 4419 km. How many times greater is the distance along the track than the distance along the straight line? Round your answer to tenths.

3. Oscillation frequencymosquito wings 600 Hz, and the oscillation period of the bumblebee wings is 5 ms. Which of the insects will make more wing flaps in 1 minute during flight and by how much? Write your answer in standard form.

Find on the Internet the meaning of the words period, frequency.

For the first task - 2 points, for the second - 1 point, for the third - 3 points.

Provide a lesson plan. Each group writes down their plan. We make a general plan.

standard type of numbera is called a record of the form a * 10 n , where 1≤а<10,

nThe exponent can be any integer.

The significant digit of a number is its first (from left to right) non-zero digit, as well as all the digits following it.

We move the comma in the number two decimal places to the left and increase the exponent by 2.

We move the comma in the number to the right by 2 decimal places, reduce the exponent by two.

1 .3600*24*365*13=409968000s = 4.09968000s. =4.09968*10 -8 ;

2 . 5628:4419 =1,2735 ≈1,3

3. T=1/600Hz=0.0017s (mosquito wing flapping period)

N to=60s:0.0017s=35294.117

N sh=60s:0.005s=12000

35294,117 - 12000=23294,117=2,3294117*10 -4

Technological map of the student, interactive whiteboard, presentation

Personal:

Motivation for learning activities

Regulatory:

Attention control

Correction

Self-esteem.

Keep the goal of the activity until its result is obtained

Cognitive:

analysis, synthesis, comparison, generalization, the ability to consciously and arbitrarily build a mathematical speech statement in oral form;

Formation and development of ecological thinking, the ability to apply it in cognitive, communicative, social practice and professional orientation.

Modeling

Communicative:

Interaction

4. Dealing with the situation

integration and transfer of knowledge to another subject (application of knowledge)

Time: 15 min .

Exercise 1 .

I give the first group a sponge and laundry soap, the second group a measuring cup, water, a tea bag.

You, looking at these items, should give a description or tell what can be done with the help of these items as an ecologist, historian, physicist, chemist, mathematician, linguist.

Task 2. for the first group.

Laboratory work.

Sponge and laundry soap.

p=? one. S 1 =9*5,5=49,5 S 2 =9*6,5=58,5 S 3 =5,5*6,5= 35,75 m=350g =0.35kg

F=0.35*10=3,5; R 1 =0.07 PA;

The pressure of solids depends on the surface area of ​​the faces. Soap has 3 different facets.

Task2. for the second group.

Laboratory work.

A jar of water and a tea bag.

The pressure in a liquid depends on the height of the liquid level. calculated at different levels.

For each correct answer -1 point

Each group has its own task. Distribute the roles of who will be an ecologist, who will be a physicist, etc., and everyone prepares his own answer. The opposing team puts a reasonable mark.

They work in technological maps, fill in the table, draw conclusions.

Possible answers

Physics - easy deformation of the sponge, elastic force - easily takes its original shape, Archimedes' law - the sponge floats, can sink if it picks up water, gravity becomes greater than the Archimedes force, soap and sponge have a certain shape, volume, the mass of soap is 350 g, you can calculate density, both refer to solids, the historian is the history of the creation of households. soap, who received the first patent for the production of soap, when and where was soap used for the first time, improvement of soap, segments of the population that could afford to use soap, chemical - color, smell, composition, soap molecules crush dirt molecules, environmentalist - no harm from household soap to the environment, soap is a natural product, the garden is treated from aphids, the sponge is harmful because microbes collect in them, they cannot be used for a long time, it is dangerous to health, when burned, the sponge releases harmful substances into the atmosphere Mathematician - soap is a parallelepiped, has 6 faces, 8 vertices, 12 ribs, make up a problem: if you reduce the length of the ribs by 2 times. How many times will the volume of the parallelepiped decrease?

Tea taste, smell, color, history of tea creation, Kyakhta-tea way, tonic drink, diffusion, depends on temperature, price, weight, types, varieties of tea, kombucha, benefits and harms of tea, properties of water, liquid, has a certain volume , easily changes shape, the formula of water is -ash 2 o, evaporates, boils, what part of the planet is water, fresh water reserves, about Baikal water, measure the volume with a measuring cup, the capacity of the mug, the capacity of different products is different (rice, sugar, salt, flour , water.)

Technological map of the student, interactive whiteboard, presentation.

Personal:

Orientation in interpersonal relationships

Apply the rules of business cooperation: compare different points of view; consider the opinion of another person; show patience and goodwill in a dispute, discussion, trust in the interlocutor.

Regulatory:

Keep the goal of the activity until its result is obtained

Planning

The ability to assess the correctness of the implementation of the educational task, their own ability to solve it;

Cognitive:

Analyze the results of elementary studies, record their results;

Apply tables, diagrams, models to obtain information

Communicative:

Learning collaboration with teacher and peers

Determine the task of communication and, in accordance with it, select speech means

Group discussion of problems (if necessary)

5. Demonstration of educational products

Time: 8 min .

Students come up with solved problems, draw conclusions based on the data obtained. One of the group conducts a self-assessment of their work.

Children's answers.

Document camera, ID, technological cards.

Personal:

the action of moral and ethical evaluation (“what is good, what is bad”);

formation of a positive attitude towards oneself and the world around;

Regulatory

Keep the goal of the activity until its result is obtained

Assess the level of proficiency in one or another educational action (answer the question “what do I not know and cannot do?”).

Cognitive:

Present prepared information in a visual and verbal form;

Communicative:

To issue a dialogical statement in accordance with the requirements of speech etiquette.

6. Feedback: diagnostics, control, self- and mutual evaluation, formative evaluation, reflection

Stage result:

For the teacher: obtaining data for adjusting and / or individualizing training

For a student: self-determination, setting personal and cognitive goals

Time: 5 min .

To summarize the lesson, we will hold a small auction. Lot is offered to you. You say everything you know about this lot. For one correct answer, give yourself 1 point, if your answer is final, then 2 points.

Slides

Lot No. 1

Standard

Lot #2

Index

Lot #3

3,006*10 6 ;

Lot No. 4

5621,2*10 8

Lot #5

Why do numbers need to be written in standard form?

Teacher: evaluate your work in class. Calculate your personal scores. Maximum score, minimum score. Is there a big difference between scores? If there is, calibrate, put the corresponding scores in the technological maps. Calculate team scores. Whoever has more points, that team won.

Teacher: Everyone put a grade for the lesson for themselves and try to comment on it.

Who does not want to comment, write in the technological map what you liked, what you did not like. Handing over technological cards.

Possible answers.

Lot #1

According to Ozhegov's dictionary.standard . - something stereotyped, stereotyped, containing nothing original, creative.

In mathematics, numbers are written in standard form. In the Russian language, according to the standard, they parse words, sentences, or inflect words according to cases, gender, and subjects of the natural and mathematical cycle. Basically, tasks are solved according to the same pattern, i.e. according to the standard. According to the standard, parts are made in factories, furniture in a factory, there is a standard for measuring instruments, etc.

Lot #2

According to Ozhegov's dictionaryIn mathematics: a numeric or alphabetic expression showing how many times a number (or quantity) raised to a power is multiplied by itself.

2. - data that can be used to judge the development and progress of something about the progress of studies, an indicator of study, an indicator of a district, an indicator of a school, etc.

Lot #3

The number is written in standard form. The exponent is 6, the base of the exponent is 10, the number 3 and the following digits are called significant figures, this number is 3006000,

Lot #4

This number is written in a non-standard form. In standard form it will be like this: 5.6212 * 10 11 . To write a number in standard form, you need to move the comma so that it is to the right of the first significant digit and change the exponent so that the number is equal to the original value,

In this number, we move the comma to the left by three digits and increase the exponent by 3, the number has decreased a thousand times, and the degree has increased a thousand times, as a result, the number has not changed. etc.

Students answer the teacher's questions in the form of a dialogue, conduct a self-assessment of their activities in the lesson as a whole.

The guys are talking:

– I did it in class today...

– You're doing well, Saran, and I learned in class...

– I'm happy for you, Mergen, and I learned at the lesson ..., etc. along the chain.

Students give themselves an assessment and comment on it at will (it is advisable to listen to the assessment of both strong and weak students.)

Personal:

Meaning formation

Moral and ethical orientation

professional identity,

Evaluate your own learning activities: your achievements, independence, initiative, responsibility, reasons for failures

Regulatory:

Evaluation of educational activities

Correction

Communicative

Determine the task of communication and, in accordance with it, select speech means

Setting homework

Time: 1 min .

1. Required level -№606;

2. elevated level

3. High level

Students choose the level of the task, write it down in diaries.

Children's answers

Diary, technological map

Personal:

Moral and ethical orientation

Regulatory

Possession of the basics of self-control, self-assessment, decision-making and the implementation of a conscious choice in an educational and cognitive task

Problem solving

Distance Moscow Ulan - Ude on the highway by car is 5628 km, and in a straight line by plane - 4419 km. How many times greater is the distance along the track than the distance along the straight line?

Each of you can easily answer the question of how old you are, and the question of how many seconds you can immediately answer.

3. Oscillation frequencymosquito wings 600 Hz, and the oscillation period of the bumblebee wings is 5 ms. Which of the insects will make more wing flaps in 1 minute during flight and by how much? Write in standard form.

Choose one of the problems and solve.

Solution:

What was the task? What was the goal, what should have been the result?

Were you able to get a result? Found a solution, an answer?

Did you cope completely correctly or with a minor error (what, in what)?

Did you cope completely on your own or with the help of (who helped, in what way)?

Practical part.

Situation solution. Exercise 1

How many situations he named, so many points he received.

Laboratory work

Sponge and laundry soap.

Calculate the pressure of the soap on the sponge in different ways. Compare results. In which case is the pressure greater and by how much? Write the result in standard form.

Conclusion:

The conclusion is incorrect. -0 points.

For defense - 1 point.

Reflection: for participation in the auction for one answer -1 point.

Write what you liked at the lesson, and what you didn’t like if you don’t want to speak.

4. Homework:

1.Required level -№606;

2. elevated level - At home, find the technical data sheets of various devices. Write out the data and create a task. Answers to problems should be written in standard form.

3. High level - compose tasks using data from different fields of science. Write the data in standard form and perform operations with standard numbers.

Technological map of the lesson

7th grade student(s)

FI__________________________________________________________

Topic: _________________________________________

1. Group

search for a lesson topic

search for the purpose and objectives of the lesson

Give 1 point for each correct answer.

Studying the topic of the lesson.

a) If you found a definition of the standard type of number in the textbook, put 1 point.

b) If you remembered the definition of a significant figure, put 1 point

c) Look at the examples in the textbook and write down the conclusion. If the conclusion coincides in meaning with the correct one, then put -1 point.

Problem solving

1. Distance Moscow Ulan - Ude on the highway by car is 5628 km, and in a straight line by plane - 4419 km. How many times greater is the distance along the track than the distance along the straight line? Write your answer in standard form.

2. Each of you can easily answer the question of how old you are, and the question of how many seconds you can immediately answer. Count how many seconds you have. And write your answer in standard form.

3. Oscillation frequencymosquito wings 600 Hz, and the oscillation period of the bumblebee wings is 5 ms. Which of the insects will make more wing flaps in 1 minute during flight and by how much? Write your answer in standard form.

Choose one of the problems and solve.

Solution:

I solved the first problem - put in the map - 1 point,

I solved the second problem - put it in the map - 2 points,

I solved the second problem - put it in the map - 3 points.

Conduct a self-assessment of your work according to the plan:

What was the task? What was the goal, what should have been the result?

Were you able to get a result? Found a solution, an answer?

Did you cope completely correctly or with a minor error (what, in what)?

Did you cope completely on your own or with the help of (who helped, in what way)?

Practical part.

Situation solution.

How many situations he called, so many points he earned.

Laboratory work.

Water jar and tea bag

Calculate the water pressure on the tea bag in different ways. Compare results. In which case is the pressure greater and by how much? Write the result in standard form.

Conclusion:

Demonstration of educational products:

Prepare a presentation plan to defend the problem.

Criteria for evaluating laboratory work:

The conclusion is correct. Calculations are correct - 2 points.

The conclusion is correct. Calculations with errors - 1 point.

The conclusion is incorrect. -0 points.

For defense - 1 point.

4. Homework:

Choose one of the levels of homework, do it.

1.Required level -№606;

2. elevated level - At home, find the technical data sheets of various devices. Write out the data and create a task. Answers to problems should be written in standard form.

3. High level - compose tasks using data from different fields of science. Write the data in standard form and perform operations with standard numbers.

Lesson No. 24 12/11/2014 Algebra Grade 8 Shevchuk E.I.

Lesson topic:

STANDARD NUMBER

Lesson Objectives:

Cognitive:

1. To acquaint students with writing numbers in a standard form and use the obtained values ​​when solving problems. Establish interdisciplinary connections.

2. Show how to write large and small numbers.

3. To form the ability to synthesize and generalize the knowledge gained.

4. Show the importance of the topic in the study of related disciplines.

5. To develop students' cognitive interest in the subject.

Developing:

to develop in students thinking, speech, memory, the ability to highlight the main thing,continue to develop the ability to analyze.

Educational:

to cultivate a common culture, activity, independence, ability to communicate, patriotism.

Lesson type:

a lesson of explanation and primary consolidation of new knowledge.

Equipment:

itinerary,

technical equipment of the lesson - computers,

computer presentation in Microsoft PowerPoint.

Teaching methods:

according to the source of acquired knowledge - verbal, practical, visual;

according to the level of cognitive activity - problematic, partially exploratory.

Lesson form: practical lesson.

“The road will be mastered by the walking one ...!”

DURING THE CLASSES:

1. Organization of the beginning of the lesson

Hello! Check, please,their readiness for the lesson.

And now let's turn to the epigraph of our lesson “The road will be mastered by the walking ...!”

What do these words mean?

Each of you will receive a route sheet in which he will fix his work and at the end of the lesson will evaluate it.

(Route sheets are distributed)

Slide #1

Vitamins, minerals, foods.

(Task number 1 on ML)

The correct answers are written on the back of the board.

Self-test. Slide #2-3

We collect points.

IIMessage about the topic and purpose of the lesson

Slide #4

– Before you start learning a new topic, complete the tasks on the first page of the route sheet (check on the screen).If you completed the tasks correctly, then you should receive the word - STANDARD.
What is a standard? Where did you come across this word? What does it mean?

(The very first task on the ML table)

Slide #5

Standard (from English - standard) A sample, standard, model with which similar objects, processes are compared, compared. (Universal Encyclopedic Dictionary). That is, when talking about the standard, it is easier for people to imagine what is at stake. And today we will talk about the standard form of a number. So, this is the topic of today's lesson.

slide number 6

1. Updating students' knowledge.

Preparation for active educational and cognitive activity at the main stage of the lesson

In the world around us, we encounter very large and very small numbers. We already know how to write large and small numbers using the degree of a number.

IV.Assimilation of new knowledge

Slides No. 7-8

Is it convenient to write numbers in this form? Why? (Take up a lot of space, waste a lot of time, hard to remember.)
- How What do you think is the way out of this situation? (Write numbers using powers.)

(Task number 3 on ML)

Use of the conceptdegree makes the expression shorter and more compact.

Degrees are especially often used when writing large numbers. Such numbers are written using a power with base 10. For example:

10 -1 = 0,1

10 0 = 1

10 1 = 10

10 2 = 100

10 3 = 1000

!!! The base 10 exponent tells you how many zeros to write after the 1.

For example, the radius of the globe, approximately equal to 6.37 million m, is written as 6.37 10 6 m

Degree 10 6 equals 1,000,000 so:

6.37 10 6 m = 6,370,000 m

In addition, the notation of numbers using a degree is used to write natural numbers in the formsums of bit terms.

4 835 = 4 1000 + 8 100 + 3 10 + 5 = 4 10 3 + 8 10 2 + 3 10 + 5

!!! Every number greater than 10 can be written in standard form:
a 10 n , where 1 ≤ a ≤ 10 and n is a natural number.

Such a notation is called the standard form of a number.

Slide #9

Write down the mass of the Earth using a power of a number. 598 10 25 d. Now write down the mass of the hydrogen atom. 17 10-20 g. Is it possible to write these numbers differently using degrees? Try it! 59.8 10 26 , 5,98 10 27 ; 0, 598 10 28 ; 5980 10 24 .
17 10 –20 ; 1,7 10 –19 ; 0,17 10 –18 ; 170 10 –21 ;

All results are correct. But is it possible to speak of a standard notation? How to be? (Agree on a single notation of numbers.)
- Try to discuss with a neighbor what kind of record should be a single, standard one?
- What should be the factor before the power of the number 10, so that it is convenient to REMEMBER the number andimagine it?

- Please openslide number 10

And textbooks n 11 p.104, find the definition of the standard type of number and write it down in the route sheets.

– Standard type of number calledrecord of the form a 10n, where 1< a< 10, n – целое. n – называют порядком числа.

– In standard form, you can write any positive number!!!
Why? (By definition. Because the first factor is a number that belongs to the interval from )

We recommend reading

Plumbing

Two tests showed two strips: the principle of the pregnancy test, instructions for use, result, ultrasound and gynecologist consultation What to do the test shows two strips

Furniture

When to register for pregnancy: specific dates and the need for registration

Furniture

What drops in a nose that. Types of nasal drops. Drops beetroot from the common cold

Vacation home

What is the reason for the constant desire to drink?

Wallpaper

Centralized library system of the Khaibullinsky district of the Republic of Bashkortostan Bianka Igor Kubersky

Finishing

Goat cheese cheese at home recipe with photo step by step