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Difficulties and emphases of mathematics in the sixth grade of primary school
1. Make students further master the structure of simple application problems, and correctly choose solutions according to the meaning of four operations and the quantitative relationship in the problems.

2. Through teaching, further improve students' ability to analyze and answer application questions.

3. Explore the internal relationship between knowledge and stimulate students' interest in learning.

Teaching focus

Master the structure of simple application questions and answer them correctly.

Teaching difficulties

Master the quantitative relationship of simple application problems.

teaching process

First, basic training.

1.

……

2. The following questions are only listed and not calculated.

(1) Grade 6 students donated money to the disaster area, Grade 6 1 class donated RMB 105, and Class 2, Grade 6 donated money to 98 yuan. How much did the two classes donate?

(2) The school library bought 150 story books and lent them to the fifth grade 1 class. How many books are left?

(3) The farm tool factory can produce 56 farm tools every day. How many farm tools can it produce in 7 days?

(4) There are 24 baskets of apples in the fruit shop, which will take 6 days to sell out. How many baskets of apples will be sold on average every day?

(5) There are 48 large-character books to be displayed in the Achievement Exhibition, with 8 books per table. How many tables do you need?

(6) Grade 5 students 136, with 5/8 girls. How many girls are there?

Second, summarize and sort out.

Reveal the topic: Today we will review such a simple application problem.

(1) Teaching example 1: There are 364 male workers and 9 female workers in a factory. How many male and female workers are there in this factory?

The teacher asked: What are the known conditions of this problem?

What's the problem?

What does the problem have to do with the known conditions?

Why do you answer like this?

Teacher's summary:

In this problem, the desired result is directly related to two known conditions. As long as two known numbers are combined, the result can be calculated directly. This is a simple application problem.

(2) variant exercises.

1. Change the problem: According to the two known conditions in the example 1, can you ask other questions and make them into simple application problems?

How many men are more than women?

② How many times is the number of male workers more than that of female workers?

(3) How many women workers are men?

2. Change the conditions: According to the above-mentioned application questions and listed formulas, can you change the known conditions and problems in each question and make up two different simple application questions?

There are 455 male workers and 364 female workers in a factory. How many women workers are there?

② There are 455 male and female employees in a factory, with 9/kloc-0 female employees. How many male workers are there?

③ There are 9/kloc-0 female workers in a factory, with 273 male workers more than female workers. How many male workers are there?

④ There are 273 fewer female workers than male workers in a factory, with 9/kloc-0 female workers and how many male workers are there?

⑤ There are 9 1 female workers in a factory, and the number of male workers is four times that of female workers. How many male workers are there?

⑥ There are 364 male workers in a factory, and the number of female workers is 1/4. How many women workers are there?

⑦ The number of male workers in a factory is four times that of female workers, with 364 male workers and how many female workers?

A factory has 9 1 female workers, and the number of female workers is 1/4 of that of male workers. How many male workers are there?

Teacher's question: What characteristics do you find in simple application problems through our compilation? What did you get?

Teacher's summary: As can be seen from the above compilation, simple application problems are all composed of two known conditions and a question, and the question is directly related to the two known conditions. In other words, the answer can be directly obtained by one-step calculation from the known conditions.

(3) Review some common quantitative relations that have been learned.

Through the example 1, we study the quantitative relations of some simple application problems. Let's review some common quantitative relationships. (Show the following table)

magnitude relation

Quantitative relation

Income, expenditure, balance

Revenue-Expenditure = Balance

Unit price, quantity and total price

Single output, quantity, total output

Speed, distance, time

Work efficiency, time, total amount of work

Principal, time, interest rate, interest

1. Please give examples in groups to illustrate the meaning of quantitative relationship, and fill in the most basic quantitative relationship in each group.

2. According to these quantitative relations, can you compile three different application problems?

Third, consolidate feedback.

1. Solve the following application problems. After the solution, two application problems connected with the original problem are compiled by using the quantitative relationship in the original problem.

(1) A TV factory produces 800 TV sets every day on average. How many TV sets can you make in 20 days?

(2) The school bought 120 exercise books for 102 yuan. How much is each exercise book on average?

2. Add a condition or question to the following question to become a one-step calculation application question, and then answer it.

(1) A batch of goods, carrying 10.5 tons, _ _ _ _ _ _ _. How many tons was this shipment originally?

(2) Build a canal with a length of 3,800 meters, _ _ _ _ _ _ _ _ _ _. How many meters are built on average every day?

(3) Three quarters of the number of white sheep is equivalent to the number of black sheep. _ _ _ _ _ _ _. How many black sheep are there?

(4) The train travels 420 kilometers in 7 hours, _ _ _ _ _ _ _?

3. Answer the following application questions.

(1) A kind of wool is 66.5 yuan per kilogram. How much is 0.5 kg?

(2) Master Xiao * * produces 250 parts a day, and 225 of them are first-class products after inspection, so as to obtain the first-class product rate.

Fourth, class summary.

Did you get anything from today's study?

Verb (short for verb) homework.

1. Fenghua Farm grows corn 120 hectares, and the planting area of wheat is 1 1/8 times that of corn. What is the planting area of wheat?

2. Fenghua Farm grows wheat 165 hectares and corn area 1 1/8. How many hectares of corn have been planted?

3. Fenghua Farm grows wheat 165 hectares, which is 1 1/8 times the area of corn. How many hectares of corn have been planted?

4. Fenghua Farm grows corn 120 hectares, which is 1 1/8 of wheat. How many hectares of wheat have been planted?

Sixth, blackboard design

Simple application problem

Solve problems according to quantitative relations

There are 364 male workers and 9 1 female workers in a factory. How many male and female workers are there in this factory?

364+9 1 = 455 (person)

There are 455 male and female workers in this factory.

Adapted:

How many men are more than women?

② How many times is the number of male workers more than that of female workers?

(3) How many women workers are men?

These are methods and exercises.