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High-quality model essay on the first volume of mathematics teaching plan in the sixth grade of primary school.
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The teaching plan of the first volume of mathematics in the sixth grade of primary school, Fan Statistical Map, is a high-quality model essay.
Teaching objectives
1, knowledge and skills: through examples, understand the fan-shaped statistical chart and understand its characteristics and functions; Can read the fan-shaped statistical chart, get effective information from it, and realize the role of statistics in real life.
2. Process and method: Through observation, comparison, cooperation and exchange, learn to communicate and listen to each other in the process of obtaining information from departmental statistical charts.
3. Emotional attitude and values: In the process of understanding the fan-shaped statistical chart, I feel the fun of mathematics learning and the connection between mathematics and life.
Emphasis and difficulty in teaching
1. key point: understand the fan-shaped statistical chart and its characteristics and functions.
2. Difficulty: I can read the fan chart and get effective information from it.
Teaching aid preparation courseware, fan-shaped statistical chart paper jam
teaching method
1, teaching methods: situational method, intuition, guidance and induction.
2. Learning methods: independent inquiry, cooperation and communication, observation and discovery.
teaching process
First, check the import.
Teacher: Students, what two kinds of statistical charts have we learned? In this lesson, we will know a new statistical chart-fan chart. (blackboard writing topic)
Second, organize activities to explore new knowledge.
Healthy diet education
First of all, please take a look at the pagoda map of China residents' balanced diet (courseware presented). What does diet mean? Do you know what kind of food we need most every day from the pagoda map? Second? then what ..... at least? For the sake of our health, students must form the good habit of not being picky about food and eating reasonably.
(b) Create a situation to understand the necessity of making departmental statistical charts.
1. Courseware shows the food consumption statistics of Xiaoxiao's family in one day (only the first two columns).
(1) Observing statistics, Q: Do you think Xiaoxiao's meal is reasonable this day?
(2) If you want to see the intake of each food intuitively, what statistical chart should you choose? (Courseware demonstration)
2, courseware display statistics (add the third column)
(1) Teacher: If you add another column, do you know what this column counts? (The intake of each food accounts for about the percentage of the total food intake)
(2) Read the statistical table and tell the meaning of the percentage in the table.
(3) Teacher's inspiration: From the histogram, we can clearly and intuitively see the amount of each food intake, and can we clearly see the percentage of each food intake in the total intake? How about the broken line statistical chart? So, what kind of statistical chart can solve this problem?
(c) Understand the characteristics and functions of departmental statistical charts.
1. The following figure is drawn according to the data in the above table. Can you understand? (The courseware shows a fan-shaped statistical chart) Please observe and think for yourself before discussing with the group members:
Inquiry (1) (courseware presentation):
(1) What is a complete circle?
② What are the shapes of the parts in the circle? What does each department stand for?
Inquiry (2) (Courseware display)
What information can you get from the above statistics?
② What does the plate size reflect? What is the total percentage of each department?
③ What can be clearly seen from this fan-shaped statistical chart?
2, group cooperation, discussion and exchange.
3. report and exchange.
4. Summary: Through the study just now, we know that the vermicelli chart shows the total food intake of Xiao Xiao's family in a whole circle, and the small vermicelli in the circle shows the percentage of food intake to the total food intake. The larger the fan-shaped area, the greater the percentage of this kind of food intake in the total food intake. It can be clearly seen from the fan-shaped statistical chart that the intake of various foods accounts for the percentage of total food intake.
5. Guide students to summarize the characteristics and functions of fan-shaped statistical charts (courseware).
(1) teacher: then, can you summarize the characteristics and functions of all the plate statistical charts?
(2) Summary: The pie chart represents the total amount with a whole circle, and each small sector represents the percentage of each part in the total amount. The pie chart reflects the relationship between the whole and the parts.
6. Advantages of fan-shaped statistical chart
(1) Teacher: What are the advantages of the pie chart compared with the learned chart?
(2) Guiding students to understand the fan-shaped statistical chart can not only clearly show the percentage relationship between each part and the total, but also intuitively compare the relative sizes of each part.
Third, consolidation and application.
(a) "Try I can do it"
1, fill in the blanks:
The pie chart of (1) is represented by a whole circle (), and each small sector represents the percentage of () in (). The pie chart reflects the relationship between () and ().
(2) If you want to know the percentage of each fruit tree in the orchard to the total number of fruit trees, you should draw a statistical chart ().
2.P58 "Practice" 1.
(1) Observe these pie charts and tell me what information you get.
(2) Feedback communication.
(b) "I am the best"
1. Observe the book sector diagram of Dongshan Primary School and answer the question:
(1) () has the largest number, accounting for ()% of all books.
(1)(2) () The number of books is the least, accounting for ()% of all books.
(1)(3) If there are 125 photo albums, there are () books and () science books in * *.
Please cooperate in groups to complete the task together. Part (3) is a short solution. Tell me what you think.
2. Observe the favorite sports statistics of students in Hongxing Primary School and answer the questions:
(1) The number of people who like skipping rope accounts for ()% of the whole grade.
(2) The number of people who like () is the largest, the number of people who like () is the least, and the number of people who like () and () is similar.
(3) If there are 400 people in the school, there are () people who like playing football and () people who like kicking shuttlecock.
Complete independently, report and communicate.
Fourth, class summary.
What have you gained from learning this lesson? How did you do in class? If the perfect score is expressed by five stars, how many stars can you get?
Verb (abbreviation for verb) assigns homework.
P58 "Practice" Question 2.
Blackboard design:
Fan statistics chart
Features {represented by circles (total amount) (unit "1", 100%)
Mark the percentage of (each part) in (the total) with each small fan.
Function: Reflect the relationship between (whole) and (part).
The quality of the teaching plan of the first volume of mathematics in the sixth grade of primary school, Fan Wener
course content
Mathematics, compulsory education curriculum standard experimental textbook, the first volume of grade six, p 106 ~ 107.
Teaching objectives
1. Understand the characteristics and functions of sector statistical charts;
2. Learn to observe the fan-shaped statistical chart, and put forward mathematical problems and solve problems according to the fan-shaped statistical chart;
3. In the learning process, feel the value of fan-shaped statistical charts and experience statistical methods and ideas.
teaching process
I. Teaching examples 1.
Teacher: Hello, class! Today, the teacher will start learning statistics in Unit 6 with you.
Teacher: Please look at the screen-(showing the theme map)
Teacher: This is the scene when the students of Class Six (1) are carrying out extracurricular activities. Some students play table tennis, some play football, some jump rope and kick shuttlecock ... very lively! Please think about it. If you draw a statistical chart, you should be able to clearly reflect the number of people in Class 6 (1) who like various sports. What kind of statistical chart do you think should be drawn?
Default value:
Health: bar chart.
Teacher: Well, the teacher agrees. (Show statistical chart on page P 106) This is the favorite statistical chart of sports events drawn by the teacher in Class 6 (1). What information can you get from this bar chart?
Default value:
Health 1: I know that there are 12 people who like table tennis, 8 people who like football, 6 people who like skipping rope, 5 people who like kicking shuttlecock and 9 people who like other sports.
Health 2: I can also see from this bar chart that people who like table tennis are the most, and those who like kicking shuttlecock are the least.
S3: I also know that there are more people who like table tennis than football.
S4: I also know that there are 40 students in Class One, Class Six (1).
Teacher: How do you know there are 40 students in Class One, Class Six (1)?
Health 4: People who like all kinds of sports add up to exactly 40.
Teacher: Well, the characteristic of bar charts is that they can clearly reflect various quantities. However, students, if we want to know clearly what percentage of the total number of people like each sport, can you still see it directly from the bar chart?
Hallows: No.
Teacher: The teacher told us that there is a statistical chart, which can clearly reflect the relationship between the quantity of each part and the total. Do you want to know what the statistical chart is?
Teacher: This chart is a fan chart. Today, let's learn the pie chart.
Teacher: This is the fan chart of the favorite sports of Class 6 (1).
Teacher: In this fan chart, we use the whole circle to represent the number of students in the class, that is,100%; The number of people who like five kinds of sports is represented by five sections, accounting for a few percent of the class.
Teacher: The orange sector indicates the percentage of people who like table tennis. Students, what do the green part, blue part, yellow part and red part mean respectively? Please tell each other at the same table.
Health 1: The green part indicates the percentage of people who like football;
Health 2: The blue part indicates the percentage of people who like skipping rope.
Health 3: Yellow fans indicate the percentage of people who like to kick shuttlecock.
Health 4: The red part indicates the percentage of people who like other sports.
Teacher: Hmm. We have a preliminary understanding of the pie chart. Now, please watch carefully. What information can you learn from this fan map?
Default value:
Student 1: I understand that the number of people who like table tennis accounts for 30% of the total number;
Health 2: I learned that 20% people like football; 15% like skipping rope; 12.5% likes kicking shuttlecock; 22.5% like other sports.
Student 3: I know that the number of people who like table tennis is the largest, accounting for 30% of the total number; The people who like kicking shuttlecock are the least, accounting for only 12.5%.
Teacher: OK! We already know that there are 40 students in Class One of Class Six (1). Combined with this fan-shaped statistical chart, the teacher wants to ask a question: How many people like table tennis? Can students solve this problem?
Student: As can be seen from the fan-shaped statistical chart, the number of people who like table tennis accounts for 30% of the total number, that is, 30% of 40 people, 40×30%= 12 (person), so there are 12 people who like table tennis.
Teacher: According to this fan-shaped statistical chart, can students ask some math questions like teachers?
Default value:
Health 1: How many people like football?
Student 2: How many people like skipping rope?
S3: How many people like kicking shuttlecock?
Health 4: How many people like other sports? ……
Teacher: Now, please choose a problem that interests you and list the formula to solve it.
Teacher: Who can tell me what problem you solved? How is continuity solved?
Default value:
Health 1: The question I solved is how many people like football? 40×20%=8 (person);
Health 2: The problem I solved is how many people like skipping rope? 40× 15%=6 (person);
Health 3: The problem I solved is how many people like kicking shuttlecock? 40× 12.5%=5 (person);
Health 4: The question I solved is how many people like other sports? 40×22.5%=9 (person).
Second, consolidate and expand.
Page 1. P 107 do it.
Teacher: Great! Students, do you know the nutrients contained in milk? This is a fan-shaped statistical chart about the nutrients contained in milk. Please observe carefully and see what you can learn.
Default value:
Health 1: Milk contains water, protein, fat, lactose and other nutrients.
Health II: I know that every 100 serving of milk contains 87% water, 3.3% protein, 4% fat, 5% lactose and 0.7% other nutrients.
Teacher: How do you know?
Health 2: I found it by color. The explanation on the right side of the picture tells us the nutrients represented by different color sectors.
Teacher: Oh, so did you find it, and so did the students? It's good. After reading this fan-shaped statistical chart, we clearly know the percentage of various nutrients in milk per 100g.
Teacher: How many grams of nutrition can you supplement by drinking 250 grams of milk a day? How to solve this problem?
Health: 250g times the percentage of each nutrient component is enough.
Teacher: OK, now please finish this problem by yourself.
(1 write on the blackboard. Moisture: 250×87%=2 17.5 (g)
Protein: 250×3.3%=8.25 (g)
Fat: 250×4%= 10 (g)
Lactose: 250×5%= 12.5 (g)
Others: 250×0.7%= 1.75 (g)
Teacher: Who can tell me how many grams of nutrition a bag of 250 grams of milk can supplement every day?
Health: hydratable 2 17.5g, protein 8.25g, fat 10g, lactose 12.5g, others1.75g. ..
2. Question 2 on page 2. P 108。
Teacher: Let's pay attention to Chen Dongjia's monthly living expenses plan.
Teacher: What information can you get from this fan-shaped statistical chart?
Default value:
Health 1: I clearly see that Mr. Chen spends 30%, 30%, 15%, 10%, 5% and 10% of the expenditure plan every month.
Health 2: I can know that Chen Dongjia's monthly water and electricity expenses account for the least percentage of the expenditure plan.
Health 3: I can also see that Mr. Chen spends as much money on food as he pays off the house loan every month, and clothes are as much as other expenses.
Teacher: The students got a lot of information! Please think about it. If Mr. Chen's monthly living expenses are 1000 yuan, what math problems can you propose and solve?
Student: Can we ask Mr. Chen how much he spends every month?
Teacher: That's a good question, so let's start to solve it.
(1 write on the blackboard. Food: 1000×30%=300 yuan.
Loan repayment: 1000×30%=300 yuan.
Education:1000×15% =150 yuan.
Clothing:1000×10% =100 Yuan.
Hydropower: 1000×5%=50 yuan.
Others:1000×10% =100 yuan. )
Third, class summary.
Ask the students to summarize the reasons and characteristics of the fan-shaped statistical chart.
The teaching plan of the first volume of mathematics in the sixth grade of primary school, Fan Statistical Map, is of high quality.
Teaching objectives:
1, through examples, understand the fan-shaped statistical chart, and understand its characteristics and functions.
2, can read the fan-shaped statistical chart, get effective information from it, and realize the role of statistical chart in real life.
3. Improve students' practical application ability.
Teaching focus:
Understand the fan-shaped statistical chart and its characteristics and functions.
Teaching difficulties:
The improvement of students' practical application ability.
Teaching aid preparation:
courseware
Teaching process:
First, review old knowledge and introduce new knowledge.
1, the computer courseware presents the following table.
Percentage of species intake/gram to total intake
Grease 50
Milk and beans
Fish, poultry, meat, eggs and other 600
Vegetables and fruits
Cereal 1800
2. Computer courseware presents statistical charts (or students' works can also be used).
3. Introduce new knowledge.
Second, explore exchanges and acquire new knowledge.
1. What kind of statistical chart is the sector statistical chart?
2, understand the characteristics of the fan chart.
3. Practice at once.
Finish the conversation after class.
(1) Students observe the fan-shaped statistical chart in the text and read all kinds of information in the statistical chart.
(2) Say what you have learned.
Students say the information and calculate the percentage of each component.
Report the calculation results and modify them.
Students speak and communicate.
Student report: The bar chart can clearly see the intake of each food.
Observe and speak the information you get.
Tell the findings according to the teacher's instructions.
It can be clearly seen from the fan-shaped statistical chart that the intake of various foods accounts for a few percent of the total intake.
Observe the data, find out, tell the difference and express your opinion.
Calculate, modify
Third, summarize the learning content of this lesson.
Dialogue: This table shows the daily intake of various foods of Xiaoli's family of three. Please use a bar chart to represent the data in the table. Say, what are the characteristics of bar charts?
Question: From the bar chart, you can clearly see the intake of each food. Can you see the percentage of each food in the total intake?
Expose the topic and write the topic on the blackboard: fan chart
Show the courseware and give a brief explanation while showing the fan-shaped statistical chart, so that students can understand that the fan-shaped statistical chart represents various types of quantities by the size of the fan-shaped area (which accounts for a few percent of the circular area). (Percentage of the total number of students admitted)
Fourth, consolidate sublimation.
Finish "try it" after class.
1, compare the time of each activity and say what's the difference. Ask math questions
2. What is the total time? How to calculate the time of each activity?
Refer to the topic, draw a fan-shaped statistical chart, show your daily schedule and communicate with your classmates.
Class summary: What did you gain today? What else don't you understand?
Blackboard design:
Fan statistics chart
Can clearly reflect the relationship between the whole and the part.
The teaching plan of the first volume of mathematics in the sixth grade of primary school, Fan Statistical Map, is of high quality.
course content
Fan statistics chart
The content of the textbook on pages 68-69 is the teaching plan of "Sector Statistics Map" in the sixth grade of primary school.
Second, the teaching objectives
Understand the characteristics, significance and role of departmental statistical charts; Can read sector statistics, can do sector statistics, can analyze.
Three key points and difficulties
Be able to make fan-shaped statistical charts and analyze them.
Preparation of teaching AIDS
Courseware.
Five teaching processes
(a) What is a pie chart?
(Use an integer to represent the total, and use the size of each sector in the circle to represent the percentage of each part in the total. )
For example, the following fan-shaped statistical chart reflects the situation of students in a class participating in various groups of extracurricular activities.
Q: What does the whole circle represent in this statistical chart? (Class size)
What can be seen from the picture?
Students who participate in recreational groups account for 30% of the class; Students who take part in sports group account for 60% of the whole class, and students who take part in art group account for the whole class 10%).
Measurement: measure the degree of the central angle of each sector in the drawing with a protractor?
Think about it: What are the characteristics of departmental statistics? It can clearly show the relationship between the number of parts and the total. )
(B) How to make a fan-shaped statistical chart
Example 5 The planting area of various crops in He Qiao village in the past 20 years is as follows:
84 hectares of food crops
24 hectares of cotton
Oil crops 12 hectare
According to the above data, make a fan-shaped statistical chart.
Drawing steps: (1) First, calculate the percentage of each part in the total.
(2) Calculate the degree of the fan-shaped central angle representing the number of each part.
(3) Draw a circle with an appropriate radius, and draw all sectors in the circle according to the central angle calculated above.
(4) In each sector, indicate the number name and percentage of each part, and distinguish each sector with different colors or stripes.
(5) Name, unit, tabulation time,
Blackboard: (1) 84+24+12 =120 (hectare)
Grain: 84÷ 120=70%
Cotton: 24120 = 20%
Oilseeds and food crops:12 ÷120 =10%
(2) Grain crops: 360 x 70% = 252.
Cotton: 360 x 20% = 72
Oil crops: 360 x 10% = 36.
Statistical table of planting area of various crops in He Qiao village for 20 years
20_ year 1 month system
(C) Classroom assignment design
1. Li Ming asks every student in the class, "What's your favorite ball game?" According to the students' answers, he made a fan-shaped statistical chart on the right. Please look at the picture and answer the following questions:
(1) What kind of ball games are the most popular?
(2) Which two kinds of ball games are similar in popularity?
(3) What kind of ball games do students like best?
(4) "Others" in the picture is a combination of people who love volleyball, tennis, handball and other ball games. Do you think this is reasonable?
At the end of the term, there were 12 excellent students, 16 good students, 10 qualified students and 2 failed students. What is the percentage of each class? Make a fan chart.
3. The picture on the right is a fan-shaped statistical chart of chickens, ducks and geese raised by a professional poultry farmer last year. If this professional poultry farmer raises 2500 chickens, ducks and geese, figure out how many of these three kinds of poultry have been raised.
4. The ingredients of a beef are as follows. Make a fan-shaped statistical chart according to the data in the table. Ingredients: water, protein, fat and others.
Percentage 68% 20% 10% 2%
Reference answer
Classroom assignment design
1.( 1) table tennis; (2) Football and basketball; (3) badminton; (4) reasonable;
leave out
3. Goose: 2500x 18%=450 (only)
Duck: 2500x 30%=750 (only);
Chicken: 2500x52% 2 1300 (only)
The teaching plan of the first volume of mathematics in the sixth grade of primary school, Fan Statistical Map, is of high quality.
Teaching objectives
1, through examples, understand the fan-shaped statistical chart, and understand its characteristics and functions.
2, can read the fan-shaped statistical chart, get effective information from it, and experience the role of statistics in real life.
Teaching focus
Through examples, we can understand the fan-shaped statistical chart and its characteristics and functions.
Teaching difficulties
Can read the fan-shaped statistical chart, get effective information from it, and realize the role of statistics in real life.
teaching process
First of all, talk about new lessons.
Teacher: Before class, Mr. Yuan asked everyone to collect some statistical charts in life. Let's see what the students have collected. Show the students' homework and ask them to introduce the statistical charts they collected. )
The teacher asked: What are the characteristics of such a statistical chart?
Health: The bar chart can clearly see the quantity, while the line chart can not only see the quantity, but also see the change of the quantity.
Teacher: That's right. Now the teacher will test whether everyone can use it. Our school will hold an autumn sports meeting next week. If you draw a statistical chart, it can clearly reflect the number of students who like various sports. What kind of statistical chart do you think should be drawn?
Health: bar chart.
Teacher: Well, not bad! Bar charts can clearly reflect the quantity. If I want to draw a statistical chart to show the 24-hour temperature change today, what statistical chart is suitable?
Student: statistical chart of broken line.
Teacher: Well, the teacher agrees that the broken line statistical chart can not only indicate the quantity, but also indicate the increase or decrease of the quantity.
The teacher also found that some students found such pictures. Let's have a look. (Ask the students who collect these pictures) Can you tell us what pictures you are looking for?
The students answered.
Teacher: Is this chart also a statistical chart? So today we know, a new statistical chart.
Teacher's blackboard writing: fan-shaped statistical chart
Teacher: What do you want to learn from this topic?
Default: (1) What are the characteristics of pie charts? (2) What is a fan map?
(3) How to make a fan map? (4) What is the function of the pie chart?
Second, cooperate and exchange, and explore new knowledge.
1, say it
Teacher: Students are really eager to learn and want to know so much! Let's start with the pagoda map of China residents' balanced diet. (Showing courseware) After listening to the introduction of China Residents' Balanced Diet Pagoda, can students know what kind of food we need most from this pagoda? And second? then what
After reading this picture, what suggestions do you have for students' diet?
Teacher: Yes, the different positions and areas of each floor of the dietary pagoda map reflect the position and proportion of various foods in the diet. This shows that we should pay attention to healthy eating. Next, I want to invite my classmates to see the diet of Xiaoxiao's family.
The courseware shows the food consumption statistics of the Xiaoxiao family in one day.
Teacher: Please read the statistics and talk about the percentages in the table with each other in the group.
After the students communicate, the teaching adopts the method of random roll call and asks several students to say the meaning of each percentage. )
Teacher: What does the total intake in the table mean? What does 100% mean?
Through everyone's explanation of these percentages, does Xiaoxiao's daily intake of various foods conform to the structure of the dietary pagoda?
2. Guide the discussion.
Teacher: You see, Teacher Yuan has redrawn a picture based on the data in the statistics table just now. Can you understand?
Please observe carefully first to see what you know.
Think about it according to the teacher's warm reminder list and communicate in the group.
(1) According to the data, how many parts is the circle divided into? What shape does each part look like? What does the fan in the picture represent?
(2) What does the whole circle represent in this fan-shaped statistical chart? What is the sum of all percentages? Can the corresponding total intake in the statistical table be 100%?
Teacher: Now share the learning results of your group communication with everyone.
3. Understand the characteristics.
Teacher: The students have thoroughly analyzed the fan chart. Think about it. What information can we get from it?
Teacher: Can you use a bar chart to show the daily food intake of the smiling family? Why? (The bar chart can only show the intake of various foods, but not the relationship between the intake of various foods and the total intake, which is also a function that the bar chart does not have, while the fan chart can. )
What are the characteristics of fan-shaped statistical charts? The group will discuss first and then report.
Teacher's summary:
(1) fan chart can directly represent the relationship between the whole and the part. (where is the intuitive performance? -The sector represents the part, and the circle represents the whole), that is, you can clearly see the percentage of intake of various foods in the total intake.
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