This lesson focuses on two aspects: 1, how to solve practical problems with unary linear inequality and summarize its basic process; 2. How to solve the inequality, and summarize the general steps to solve the one-dimensional linear inequality. So that students can realize that inequality is a powerful tool to solve the problem of finding the range of unknown values and an effective mathematical model to describe the inequality relationship in the real world. It not only applied and deepened the learned knowledge, but also laid the foundation for the study of the next kind of linear inequality.
Do a very good job in achieving the goal. Not only completed the task, but also developed the students' ability.
When dealing with key points and difficulties
Using inequality as a tool, analyzing and solving problems is the focus of this chapter, and mastering the solution of linear inequality and the geometric representation of solution set is the basic skill of this chapter. Therefore, the teaching focus of this lesson is to enumerate inequalities from the inequality relations in practical problems and further master the solution of linear inequalities. Because students are exposed to the practical problems of unequal relations for the first time, how to analyze and describe unequal relations by using one-dimensional linear inequality, so as to solve practical problems.
Teaching methods and means
The teaching method adopted in this class is heuristic teaching.
Starting from students' real life experience, by setting up a number of hierarchical and challenging inquiry points, students' interest in inquiry is stimulated, teachers guide students to actively study and explore in independent thinking and mutual communication activities, and timely and appropriately guide and help students find solutions to problems. The use of slides in teaching, on the one hand, creates a strong living atmosphere and stimulates students' interest in learning; On the other hand, it expands the classroom teaching capacity, saves the classroom teaching time and improves the classroom teaching efficiency.
In teaching, first let students think independently, and then organize students to discuss in groups and exchange the process of solving problems. Teachers go deep into the group to participate in activities and give timely guidance. Through concrete practice, let students experience the analogical comparison process between the solution of linear inequality and the solution of linear equation, further master the solution of linear inequality and the geometric representation of solution set, standardize the steps of solving problems, develop the habit of solving problems step by step, consolidate the double basis, and cultivate students' consciousness of using mathematical ideas such as analogy and reduction, so as to further improve the existing knowledge system.
In the whole process, teachers pay full attention to the development of students' personality and the cultivation of cooperation ability, thus laying a good foundation for the cultivation of students' lifelong learning ability.