1. People's Education Press Primary School Grade Four Volume I Mathematics Unit 1 Teaching Plan: How to read numbers within 100 million?
Teaching objectives (1) let students know the counting units of "10,000", "100,000", "1 million", "10 million" and "100 million" and know that "100 million" is a big number.
(2) Know the names of all calculation units within 1 100 million yuan and the relationship between the two units.
(3) Master the sequence table of numbers within 100 million, and be able to correctly read the numbers within 100 million according to several levels.
(4) Cultivate students' observation, analysis and comprehensive ability, and form good study habits.
Teaching emphases and difficulties
Key points: master the number sequence table within 100 million and read it in several levels.
Difficulty: How to read numbers with zeros in the middle and at the end?
Teaching AIDS and learning tools
Teaching AIDS: digital sequence table and mobile digital card.
Learning tool: abacus.
Teaching process design
Review preparation
1. Question:
(1) Name the counting unit within ten thousand. (blackboard writing: one, ten, hundred, thousand)
(2) What is10? 10 What's ten? 10 How much is one hundred?
(3) What is the relationship between one and ten, ten and a hundred, and a hundred thousand?
2. Read the following figures:
3876 6025 7 108 4003 4200
3. Say the number 3876 from right to left.
Teacher's blackboard writing:
Say the number pronunciation within 10 thousand first.
(1) read in numerical order from the high order;
(2) What is a thousand, how much to recruit, how much is a hundred, how much to recruit ...;
(3) There are one or several zeros in the middle, and a "zero" is read-only;
(4) No matter how many zeros there are at the end, don't read them. )
Learn a new course
The teacher said: We have learned numbers within 10000, and we often use numbers greater than 10000 in our daily life and production. For example, the capital Beijing has a population of12 million; The speed of light is 300,000 kilometers per second and so on. Today, we will learn large numbers like this together. (blackboard writing topic: how to read numbers within 100 million)
1. Use an abacus to help count and know ten thousand, one hundred thousand, one million, ten million and one hundred million.
(1) Ask the students to dial one thousand on the abacus. Then count from eleven thousand to nine thousand, and then dial one thousand.
Question: What is 9000 plus 1000? What should I do if there are more than 1,000 people per 10/0?
(10 One thousand is ten thousand. )
Write "Wan" on the blackboard. (It was written on the left side of the blackboard just now)
(2) Let the students count 1 1 10,000 digits on the abacus until 90,000 digits.
Question: How much is another ten thousand?
The teacher made it clear that 10,000 people exceeded 10, and the last one was 1, which means "100,000".
10 Ten thousand is one hundred thousand.
The blackboard is "100 thousand" (written on the left of 10 thousand)
In the same way, complete the understanding of 1 million, 10 million and 100 million, and write "1 million, 10 million and 100 million" on the blackboard respectively.
At the same time, tell the students that 100 million is a big number. If you count a number at 1 sec and count it around the clock, it will take more than three years and two months to count to 1 billion.
Then it is pointed out that 10,000, 100,000, 1 million, 10 million and 100 million are all counting units, just like one, ten, one hundred and one thousand.
(3) Question: Who discovered the relationship between two adjacent counting units in the process of counting when dialing the beads just now?
(The progressive rate between two adjacent counting units is 10, which is a fractional relationship. )
2. Understand the number and number sequence table.
(1) introduces a number.
At the beginning of the class, all the numbers within 10,000 read by students are arranged in a row, that is, the counting units are arranged in a certain order, and the position occupied by each number is called digits. For example, 3876 is made up of three one thousand, eight hundred, seven tens and six ones. Six one is the first one on the right, a little; Seven tens are in the second place on the right, which is ten; Eight hundred is the third on the right, which is one hundred; Three thousand is the fourth place on the right, which is thousand. Thousands, hundreds, tens and units are all called numbers.
(2) Introduce numerical sequence table.
The teacher added horizontal and vertical lines to the counting units on the blackboard above, and added the word "bit" below each counting unit to form a digital sequence table:
(3) The relationship between counting unit and digits.
The unit of counting is one, the unit of counting the tenth place is ten, and the unit of counting the ten million places is ten million. That is to say, dozens are written in one place, dozens in ten places, hundreds in one hundred, and … dozens in tens of millions. The same number, written on different numbers, represents different counting units.
(4) Understand digital grading.
According to our country's counting habit, every four digits from right to left are one level, and one, ten, hundred and thousand are "levels", which means how many "ones"; Ten thousand, one hundred thousand, one million and ten million are "ten thousand levels", which means how many "ten thousand".
Continue to write "Horizontal, Horizontal" on the blackboard and make the following table:
Guide students to observe the numerical sequence table and find out the similarities and differences between the two levels.
Similarities: all four digits; Starting from the second place, there are ten, hundreds and thousands.
Difference: 10,000 words are more than 10,000 words; The first place in one class is one o'clock, and the first place in ten thousand classes is ten thousand.
practice
(1) One hundred thousand has () ten thousand, one million has () ten thousand, and ten million has () ten thousand.
(2) One million has () hundreds of thousands, () one million is ten million, and one hundred million is () ten million.
(3) From the low position to the high position, say every digit of the 10,000-level and 10,000-level in numerical order.
(4) From the unit, the number () is 10,000, and the number () is 100 million.
(5) Ten thousand places, one on the right is () and the other on the left is ().
3. Teaching examples 1.
(1) Ask the students to dial 280000 on the abacus.
Use a series of methods to guide students to read 10 thousand series, but add a word "10 thousand" at the back.
(2) Let the students type 30.7 million yuan on the abacus and specify the reading of the students.
practice
Read the following numbers and write them in words.
(3) Question: What are the similarities and differences between reading ten thousand series and reading one level?
Similarities: 10000 is read according to the reading method of 10 first.
Difference: when reading the series of ten thousand volumes, you should add a word of ten thousand volumes at the back.
4. Teaching example 2.
(1) Guide students to read the numbers in Example 2.
(2) Guide students to summarize the reading methods of numbers within 100 million.
Ask questions:
(1) contains several levels and ten thousand levels. Which level should I read first?
② How to read tens of thousands of numbers?
③ Where is the "0" not read?
④ Where should' 0' be read? How many books to read?
Read page 3 of the textbook, which contains two levels of numbers.
(3) Integrated feedback
1. Basic exercises.
(1) Read the following numbers.
(2) Read the figures in the following groups and talk about the relationship between them.
(3) First say how many digits each of the following numbers is, and then read it out.
2. Flexibility exercises.
Show the active digital cards and do reading training on the digital sequence table.
Move the numbers on the card and let the students read the numbers.
Summary Today, we learned new counting units: 10,000, 100,000, 1 million, 10 million and 100 million. I know the number sequence within 100 million. I know that every four numbers from the right are divided into two levels and ten thousand levels. I also learned to read with two series.
3. Homework after class:
Exercise 1, question 5, list the numbers within 100 million.
Description of classroom teaching design
This lesson is based on students mastering the counting units of "one", "ten", "hundred" and "thousand" and correctly reading numbers within 10,000, expanding the counting unit to 100 million, and learning to read numbers within 100 million step by step.
In the design of the teaching process, we should review the old knowledge first, and then explain the need to learn a number greater than 10 thousand through examples in life, thus leading to new topics.
The new lesson is divided into two parts.
In the first part, students learn new counting units by dialing beads on the abacus, and let them know the decimal relationship between adjacent counting units through practical operation. On this basis, teachers and students * * * summed up the number sequence table within 100 million, and graded it according to four digits.
The second part studies the reading method of numbers within 100 million. First, learn the numbers with the level of 10000, and guide the students to use the old knowledge to read according to the reading method of 10, then read the word "10000", and then learn the numbers with two levels, so as to cultivate students' migration ability and highlight the difficulties in reading, which zeros should be read and which ones should not be read. Finally, guide the students to summarize the reading rules themselves.
2. People's Education Press Primary School Grade Four Volume I Mathematics Unit 1 Teaching Plan: How to write the number within 100 million?
Teaching purpose: 1. Enable students to master the writing of numbers within 100 million on the basis of existing knowledge, and correctly write numbers within 100 million according to several levels.
2. Cultivate students' thinking habit of actively transferring knowledge.
3. Feel the achievements of China's socialist construction in combination with the exhibition materials, and stimulate national pride.
Teaching emphasis, difficulty and key:
1. Key point: teach to write tens of thousands of numbers.
2. Difficulty: How to write numbers with zeros in the middle and at the end within 100 million?
3. Key points: Let students master the numerical sequence table skillfully. Master the name, order and ratio relationship of numbers. Four-digit classification and composition of numbers. Based on the writing method of less than 10 thousand, expand the writing method of individual level to 10 thousand level. Can correctly write numbers within 100 million.
Prepare teaching AIDS and learning tools:
Teacher: Audio-visual materials containing information within 100 million, digital sequence table.
Health: Collect several pieces of information, counters or abacus within hundreds of millions in real life.
Teaching process:
Show the information first and review the writing of numbers within 10 thousand.
1. Play the news.
Jingzhou Yangtze River Bridge is 4398 meters long.
There are 1953 students in Beijing Road No.2 Primary School, Shashi District, Jingzhou City, Hubei Province, with a campus area of 9,500 square meters.
2. Teacher: What data did you learn from the picture just now? Can you write these data?
When reviewing, let the students talk about how to write numbers within 10,000: start from the high position, write a few numbers on which one is the number, and write 0 on which one is not the previous unit.
Second, use information to learn how to write numbers within 100 million.
1. Continue the news:
According to statistics, in 2000, 68.5 million young pioneers took part in the "Hand in Hand" activity, and 30.8 million people took part in the "Protecting Mother River" action.
2. Question: What data did you notice in the news just now? What are the characteristics of these data?
Students may say: these numbers are very large, and they all occupy two orders of magnitude. As long as the students' answers are reasonable, the teacher will be sure.
Teacher: Can you try to write these numbers? Write independently first, and then communicate in groups.
Students take part in group activities. The teacher listens to the opinions of the group and understands the students' discussion.
Each group of representatives introduces their own methods, and students may have two opinions:
(1) Write the numerical sequence table first, and write down the numbers one by one. If any number is not in the previous unit, write a zero.
(2) Write step by step, first write 10,000 levels, and then write one level. Whoever doesn't have the previous unit will write 0 on it.
The teacher encourages students to ask questions or make supplements.
3. Instant exercise: Let the students try to write the four numbers "do" on page 6.
Teacher: There are many digits in these figures, so you may make mistakes when you write them. Who has a good inspection method to introduce to you? Students can propose two methods:
(1) After writing, you can write the written figures again to see if they are consistent with the required figures.
(2) According to the number of digits, judge how many digits this number is, and then check it.
The teacher affirmed the students' methods and reminded them to check after writing.
Third, consolidate the practice.
1. To complete question 6 on page 9, first dial the following numbers on the counter and then write them down.
2. Math games:
The press release officer releases the information collected by himself before class, and the reporter is responsible for recording the data in the information, and finally checking it to see if the reporter is qualified.
In three years, the number of digital TV users in China will reach 30 million.
Fourth, class summary.
What did you get? After the students speak, the teacher writes the theme on the blackboard.
Five, independent homework in class
Textbook page 10- 1 1, questions 7, 9 and 12.
3. People's Education Press Primary School Grade Four Volume I Mathematics Unit 1 Teaching Plan: Understanding Review Class within 100 million.
Teaching content: page 9- 13, questions 4 and 6, 12, 14, 15.
Teaching objectives:
1. Through review, let students understand mathematical concepts such as numbers, counting units and grades, and master the reading and writing methods of numbers within 100 million.
2. Cultivate students' reflective consciousness through "striving to be a little teacher".
3. Cultivate students' serious and responsible attitude.
Teaching emphasis and difficulty: reading and writing methods of more than 100 million numbers with zeros in the middle and ending.
The key to teaching: students review and consolidate themselves.
Teaching process:
(1) Create a scenario: Do we all want to be primary school teachers? Today, let's compare who is an "excellent little teacher".
Everyone will send a short film before class.
Movie content:
True or false: (1) The counting units of ten thousand categories are ten thousand, one hundred thousand, one million and ten million. (×)
(2)2496 is read as: 2496? (×);
24.96 million reading: 24.96 million (√);
6407000 Reading: 6400700? (√);
85000030 is pronounced as: 8500030 (×).
(3) 68.5 million writing: 68.5 million (×)
Seventeen thousand words: 1007000(√)
Forty thousand and ninety writing: 4090(×)
(4)17860000m = (1786) 10,000m (√)
17865000m ≈ (1786)10000m (×)
(2) Judgment and reflection:
(1) Please judge the first question.
Reflection: ① What mathematical concepts are involved in the first question?
(Numbers, Counting Units, Levels)
② Talk about your understanding of numbers.
(arrange the counting units in a certain order, and their positions are called numbers; The number of digits to learn is one, ten, one hundred, one thousand, ten thousand, one hundred thousand, one million, ten million)
Talk about your understanding of counting units.
(The counting units learned are: one, ten, hundred, thousand, ten thousand, one hundred thousand, one million, ten million; The literal difference between a counting unit and a number is that there is no "bit". )
④ Talk about your understanding of logarithmic scale.
(Four grades, divided into four grades, ten thousand grades and one hundred million grades)
Do you have any questions about these three mathematical concepts?
⑥ Question: What is the relationship between every two adjacent counting units?
(2) Ask the teacher to judge the second question.
Do you have any ideas about observing the first and second questions?
The pronunciation of numbers within 100 million is the same as that of numbers within 10,000, but there is an extra scale. )
② Observe the third and fourth questions. What do you think should be reminded?
(The zero at the end of each level within 100 million is not read, and the zero in the middle of the number is read only)
(3) Who can summarize the reading of numbers within 100 million?
(3) Ask the little teacher to judge the third question.
Think about how to write numbers within 100 million.
② Is there anything you need to remind your classmates?
(Zero occupancy problem)
(4) Do you have any constructive opinions on hundreds of millions of reading and writing methods? That is, how to be fast, fast and error-free.
(Pay attention to Level 4 in reading and writing; Please check back when you are finished. )
(5) Ask the teacher to judge the fourth question.
Please explain the reasons for your judgment.
Can you talk about the similarities and differences between rewriting and ellipsis?
Please evaluate whether you are a good teacher.
(3) Consolidation exercises:
If you want to be a good teacher, it is not enough to just find fault with others. You must have a clear concept. Now please test it for yourselves.
1. Show the pictures in the book and practice P9 question 4, P 10 question 8, P 1 11.
Please grade yourself through this set of exercises.
2. Judge that the following statement is unreasonable.
Mount Everest is 8848 meters high;
I sold 20 million popsicles today;
There are more than 500 people in our school;
There are one hundred thousand people in our school.
3. Use the seven numbers of 0, 0, 0, 1, 2, 3 and 4 to form seven digits as needed.
Read two zeros;
Read a 0;
Do not read all zeros; Read three zeros.
4. Question 3 on page 16; Page 17 Question 5;
5. The cooperative team practices reading and writing numbers with their own turntable.
(4) Summary: Please talk about the feeling of being a good teacher.