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Summary of knowledge points of mathematical statistics in primary schools
Teaching objectives

1. Learn more about the significance and function of statistics, and know its characteristics and uses.

2. Let students learn to make some simple statistical tables with percentages on the basis of sorting out the original data.

3. Will do some preliminary analysis on the statistical tables, and can point out the problems explained by these statistical tables.

4. Infiltrate statistical ideas and combine statistical knowledge to educate students on national conditions.

Teaching emphases and difficulties

Key points: On the basis of learning the forms and methods of statistical tables, statistical tables with percentages will be made.

Difficulties: master the percentage relationship between quantities in statistical tables and analyze statistical tables containing percentages.

Teaching process design

Review preparation

1. Teacher shows the data of donations made by sixth-grade teachers and students for children in disaster areas.

Q: (1) What do you think these data show?

Data: 48 people from Class 6 (1) donated money to 480 yuan.

49 people from Class 6 (2) donated money to 520 yuan.

45 people in Class 6 (3) donated 465 yuan.

47 people in Class 6 (4) donated 423 yuan.

(2) Can you tell me quickly which class contributes the most per capita? If it is listed in a table, this question can be expressed concisely and vividly. (blackboard writing: concise and vivid)

(3) Can you use the watchmaking knowledge you have learned before to clearly and concisely express the donation of the sixth grade to the people in the disaster area?

(Students make tables in groups. )

(4) Report the list of each group. (Use the physical projector to project the statistics drawn by students. )

Projection demonstration:

Discussion: (1) What else do you know from the table? Diversified students' thinking, asking questions and answering them themselves. )

(2) Please figure out which class has a large proportion of donations in the whole grade, and how to modify the form?

Secret topic: today, in this class, we will learn to use percentages to count the tabulation of tables.

Learn a new course

1. Give an example of 1.

Example 1 The following is the output statistics of Dongfeng Machine Tool Works 1993 in the fourth quarter. Think about how to calculate the empty data in the table.

(1) Fill in the blanks of the table with your calculation results, and then check the total and total count to see if the results are correct.

(2) If you want to know what percentage of the total output is accounted for by Workshop 1 and Workshop 2 respectively, how to calculate it? How to make a watch?

Discuss in groups and complete a statistical table in groups of four.

(3) Analyze according to the statistical table. (Add another column percentage. )

(1) What percentage of the total output are the first and second workshops respectively?

② What is the percentage of the output of the second workshop in the output of the first workshop?

③ What percentage is the first workshop more than the second workshop?

2. Do it.

The following records are the results of a math exam for boys in a class. (unit: minutes)

100 93 69 99 89 76 8 1 100 88 65

9 1 87 92 8 1 87 93 78 85 78 77

Fill in the following table according to the above results, and then calculate the average score and pass rate of the boys' exam in this class.

Number of people taking the exam: _ _ _ _ _ _ _; Total score: _ _ _ _ _ _ _ _;

Average score: _ _ _ _ _ _ _ _; Pass rate: _ _ _ _ _ _ _.

(1) Ask the students to sort it out by drawing the word "positive" and then fill in the form.

(2) Fill in the blanks according to the table and answer the questions.

How to calculate the average score? Talk about the quantitative relationship in detail.

② What is the pass rate? How to get the pass rate?

(3) Integrated feedback

1. Fill in the statistical table according to the following data.

The production situation of People's Fertilizer Plant is as follows: in the first half of the year, the planned production was 6.5438+0.5 million tons, and the actual production was 6.5438+0.5 million tons; In the second half of the year, it is planned to produce 200,000 tons, and actually completed 205,000 tons.

The teacher reminded the students not to add up the percentage of the first half and the second half of the plan.

Teachers guide students to analyze and discuss the problems after the table.

(1) What does "planned completion percentage" mean?

(2) What do you mean if it is changed to "what percentage of overcapacity"? How to calculate? What is the quantitative relationship?

(3) What method should be used to calculate the "Total" column?

2. The physical education standards of grade six students in Wangzhuang Primary School are as follows:

Six (1) 50 people reached the standard 48 people.

Six (2)45 people meet the standard 42 people.

Six (3) 48 people meet the standard, 45 people.

Six (4) 46 people reached the standard 45 people.

(1) Calculate the success rate of students in each class and grade.

(2) Which class has the highest success rate? Which class has the lowest standard rate? What is the difference between the class with the highest success rate and the class with the lowest success rate?

(3) Which classes have higher success rates than grades? Make a statistical table with "total".

3. The income growth of Shanghai residents in the past 20 years of reform and opening up is as follows:

(1) to make a composite statistical table, and calculate the growth rate of workers' wages and farmers' net income from 1978 to 1997 respectively.

(2) Comparative annual income 1997. What percentage is the annual income 1978?

(D) class summary

What have we learned today? What are the benefits of statistical tables? Concise and vivid, with figures to illustrate the problem. It is precisely because of this advantage that statistical tables are often used to express quantitative relations in statistical work.

(5) Transfer

1. Ask students to investigate the number of boys and girls in each class of this grade and make statistics. (pay attention to writing total and total. )

2. Ask students to go to the traffic intersection in groups to investigate the situation of motor vehicles passing through the intersection within 10 minutes, make records and make statistics.

Description of classroom teaching design

This lesson is based on the students' study of double statistics, and the percentage of related quantity is increased to let students know the role of percentage in statistical work. The teacher introduced a new lesson from the situation that students are familiar with donating money to children in disaster areas, which is easy for students to accept. In the feedback of consolidation exercises, the practice of tabulating the income of workers and peasants in Shanghai in the past 20 years of reform and opening up has been added, which not only makes students feel the significance and role of statistical tables, but also allows them to receive some national education.