Page 30-32, Grade 6, Beijing Normal University Edition.

Teaching objectives:

1, knowledge and skills: enable students to understand the meaning of scale, learn to find the scale of the plan, and find the distance and actual distance on the plan according to the scale, which can be applied to solving practical problems in life. .

2. Process and method: Through the operation, observation, thinking, discussion and induction of mathematical activities, students can develop their thinking ability, practical problem solving ability and practical operation ability.

3. Emotion, attitude and values: Let students experience the close relationship between mathematics and life and actively participate in mathematics learning activities in combination with problem situations. Cultivate students' thoughts and feelings of loving their hometown and motherland.

Teaching focus:

Understand the meaning of scale according to the specific situation and apply scale to solve practical problems.

Teaching difficulties:

Understand the meaning of scale.

Teaching preparation:

Ruler, map, multimedia courseware.

Teaching process:

First, create a situation

We play games happily on the playground almost every day. Do you know the length and width of our playground? (200m long and150m wide) Today, the teacher asked you to be designers and draw a plan of our playground on white paper.

2. Students draw independently, communicate collectively and show different works drawn by students.

3. Discussion: Why are these pictures big and small?

The students told each other their thoughts.

Second, explore new knowledge.

1. On the basis of students' communication, ask students to input a clear picture of the distance and the actual distance. The ratio of the distance on the map to the actual distance is the scale we are going to discuss today. (blackboard title: scale).

2. Show the plan of Xiaoxiao's home, and ask the students to say what the scale of 1: 100 means. The teacher organized the students to report to the class.

3. Reveal the significance of scale. Students initially understand that the ratio of the distance on the map to the actual distance is called the scale. Scale = distance on the map: actual distance. For the convenience of calculation, the scale is usually written as the ratio of 1. Modify the appropriate scale for the playground map you draw.

4. Work in groups to find out the total area of Xiaoxiao's home.

(1) To guide the discussion and find out the actual area, we must know the actual length and width;

⑵ Group division of labor and cooperative learning; Correct in groups, exchange practices, and talk about the ideas and precautions of each method.

(3) Collective communication and evaluation. Discuss whether we can find the area on the map first, according to the actual area = the area on the map ÷ scale? Let students choose the correct method of solving problems independently in comparison.

The teacher stressed: the actual building area is the actual length multiplied by the actual width; The actual length or width can be obtained by the formula "actual distance = distance on the map ÷ scale".

Third, expand the practice.

1, please think about it: Where else will scales be used in our life and work?

2. Solve the fourth question on page 30 of the textbook? Group discussion and feedback. Evaluate various calculation methods. Blackboard writing: distance on the map = scale × actual distance.

3. Estimate how long the coastline of Shandong Province is according to the map, and carry out the education of loving the motherland and hometown. Teachers patrol and selectively specify the programs to be performed. Then ask the students to report and communicate.

4. Find out the actual area of a round flower bed.

(Radius in centimeters)

Fourth, the whole class summarizes and evaluates itself.

1, self-evaluation, how did you learn this lesson? What did you get? The companions exchanged their gains with each other. Collective communication. Gradually improve their knowledge structure.

2. Teacher's summary: The mathematical knowledge we have learned plays an important role in our life. We should not only study mathematics happily, but also use mathematics to solve practical problems around us.