The tenth volume of Soviet Education Edition (P117 ~118) is a review of number pairs, circles and statistics.
Teaching objectives
1. Make students further understand and master the method of expressing position with number pairs in specific situations; The position of a point can be represented by a number pair on the grid diagram, and the corresponding point can be found according to the given number pair.
2. Make students further understand and master the characteristics of the circle, so as to correctly calculate the circumference and area of the circle and solve some simple practical problems related to the circle.
3. Make students further understand the characteristics and functions of the composite broken-line statistical chart, complete the composite broken-line statistical chart according to the collected data, make a simple analysis of the data in the chart, and put forward some simple problems and solve them.
Emphasis and difficulty in teaching
1. Focus: knowledge induction and collation.
2. Difficulties: the calculation of the circumference and area of a circle.
teaching means
Independent induction, cooperation and exchange, teacher guidance.
Analysis of learning situation
As senior three students, they not only have the ability to think independently, but also can organize their own knowledge independently, but their arrangement is still in a rather chaotic state. Before class, I tried to organize the knowledge list for them independently. As a result, I found that their knowledge was inaccurate, involving a wide range, and the derivation process of circle characteristics and calculation formulas was not comprehensive enough. Therefore, it is difficult for students to organize their own knowledge of statistical graphs of pairs, circles and compound broken lines. At this time, we should guide them how to organize it, which is the key to solving the problem and the focus of this lesson.
Teaching preparation
Knowledge table arrangement; Courseware.
teaching process
First, play games. Ask the students to point out their positions in pairs, and then see who responds fastest. Number pairs (2, 3), (x, 2), (x, y).
【 Design Intention 】 Through simple number pair games, let students review the knowledge about number pairs while playing, mainly to let them recall which column and which row, and use number pairs to represent columns and rows. This simple content can be effectively reviewed in a short time, students are interested, and teachers are happy and relaxed.
Second, review the knowledge about circles.
The characteristics of 1. circle
Use letters to indicate the conceptual action, central radius and diameter.
Let the students review the old knowledge, arouse the students to reproduce what they have learned, and lay a good foundation for the study of this class. The content of this lesson is relatively simple, and the students are already impressed. I just act as a guide and let them show their existing knowledge again.
2. The four-person group will discuss and exchange the structural diagram, and invite the representative to report.
【 Design Intention 】 Students learn from each other in the process of cooperation and communication, and improve their knowledge structure. Usually, we also attach great importance to the teaching method of group cooperation. Therefore, the students are very active in this link and have received very good results, which have achieved my design intention.
Third, test you.
1. Fill in the form easily
【 Design Intention 】 This topic is mainly designed for middle and lower grade students. By filling in the form, students can be tested for their flexible use of the relevant formulas such as radius, diameter, perimeter and area of a circle, and at the same time, they can be checked for their carefulness in doing problems, such as paying attention to filling in units.
2. Practical problems on wheels
[Design Intention] The design of this topic mainly comes from the materials in life, so that students can experience that mathematics knowledge is closely related to our lives. Through careful examination, students can easily associate the rolling wheel with the method of calculating the circumference in mathematics, and this topic has designed a small trap, that is, unit conversion, which is helpful to deepen the seriousness of students' examination of the topic.
3. Synthesize practical problems
[Design Intention] This topic integrates the knowledge of number pairs and circles, and tests students' practical operation ability and calculation ability through three small questions.
4. Expand the problem.
[Design Intention] The main intention of this question is to test students' problem-solving thinking, not their calculation ability, because this question is more difficult to calculate and students spend more time, so this question only needs students to make ideas in combination.
5. Review the statistical chart of compound broken line.
1, second, third, fourth, fifth
Boys 8075859080
Girl 9080758580
The following table is the average score of boys and girls in our class in the quiz of Unit 10 "Circle". According to the data in the table, complete the following statistical chart of broken lines.
The average score of the test in unit 10 in the circle.
【 Design Intention 】 Through the data of the average score of the quiz in Unit 10 "Circle", the design of the composite broken-line statistical chart can be completed, which can smoothly transition from reviewing the relevant knowledge of the circle to reviewing the broken-line statistical chart, so that the two can be skillfully connected in one go.
Third, summarize.
Tell me about your feelings and gains.
Design intention: Let students talk about their gains, further consolidate what they have learned and experience the happiness of success.