This semester's textbook is the seventh grade mathematics textbook published by East China Normal University. Its main contents are as follows:
Chapter VI One-variable Linear Equation
Chapter VII Binary Linear Equations
Chapter VIII Polygons
Chapter 9 Axisymmetric
Chapter 10 A Preliminary Understanding of Statistics
Project learning
Third, the importance and difficulty of teaching:
1, one-dimensional linear equation and two-dimensional linear equation are closely related to real life. The key point is to introduce and expand the relevant knowledge based on the students' cognitive level from the actual situation, so that students can understand that the equation is an effective mathematical model reflecting the quantitative relationship in the real world, learn to find the equivalent relationship between the quantities implied in a given problem, and master its basic solution. The difficulty is to solve practical problems by using equation thought through examples in the practical exploration part.
2. Polygons and axisymmetries are a further understanding of graphics, involving the relationship between corners of triangles and general polygons, and they are special graphics-axisymmetries. The key point is to let students perceive and confirm the basic conclusion and the simplest transformation of the electronic watch-the mathematical invariants hidden in the axial symmetry, and at the same time, with the help of mathematical reasoning, give students some ideas of rational training and graphic transformation. The difficulty lies in mathematical reasoning.
3. In the chapter of preliminary understanding of statistics, an important mathematical method used in statistical data analysis-sampling survey method is briefly introduced. The key point is to let students learn statistical data, analyze and process the data, use the average value, median value and mode Theory of Three Represents value reasonably, and describe the obtained data more correctly. The difficulty is to let students experience the inherent law of random events through examples.
4. The key point of project learning is to let students really participate, deepen their understanding of relevant mathematical knowledge in practical exploration, and enhance their confidence and ability in applying mathematics through successful experience and experience of overcoming difficulties.
Fourth, the teaching objectives:
1, knowledge and skills: ① Understand the basic concepts such as equation, linear equation with one variable, linear equation with two variables, solution of equation (group), understand the basic deformation of equation and its role in solving equation (group). Know how to solve one-dimensional linear equations and two-dimensional linear equations, experience and understand the process and idea of transformation in solving equations, understand the general steps of solving equations (groups) and use them flexibly. (2) Understand the concepts of triangle's inner angle, outer angle and its main line segments (median line, height line and angle bisector), draw the median line, height line and angle bisector of any triangle, understand the stability of triangle, understand the characteristics of several special triangles and polygons, and simply identify, explore and master the properties and summation of triangle's outer angles, understand and master the trilateral relationship of triangle, and explore and summarize the formulas of polygon's inner angle and hidden outer angle. (3) Through specific examples, understand the symmetry of line segments, angles and circles, understand the properties of vertical lines and angular bisectors in line segments, draw axisymmetric graphics and explore the basic properties of symmetry, understand the properties of line segments connected by the corresponding points of vertical bisection of symmetry, and use axisymmetric design patterns to understand the concept of isosceles triangle and master its properties and identification methods. (4) Let students know the difference between general survey and sampling survey, feel the necessity and reality of sampling survey, and realize that it is very important to choose a representative sample to estimate the population correctly. They will find the average, the median and the mode, and understand their respective application areas. Whether random events occur in each experiment is unpredictable, but it is regular after repeated experiments.
2. Methods and process objectives: ① Through practical exploration, we experienced the process of "problem situation-establishing mathematical model-explanation, application and expansion", realized the idea of mathematical modeling, and improved the ability to analyze and solve practical problems. Starting from specific problems, we enumerated equations, realized that equations are effective mathematical models to describe the real world, and enumerated binary linear equations to solve practical problems related to multiple unknowns. Understanding binary linear equations is an effective mathematical model to solve this kind of problem. By exploring the solution of binary linear equations, we have gone through the process of "duality" and "monism", thus initially understanding the idea of elimination, turning "unknown" into "known" and simplifying complexity into simplification. (2) Experience the process of exploring and summarizing the sum of polygons, learn the mathematical idea of rational reasoning, experience the necessity of proof on the basis of intuitive perception and operational confirmation, and learn to reason initially. Through concrete examples in life and drawing axisymmetric graphics, this paper explores the essence of axisymmetric, and uses axisymmetric to design patterns. ③ Experience the randomness and regularity of random events through practice, and learn to judge the fairness of game rules through analysis or experiment.
3. Emotional and attitudinal goals: In learning and inquiry, improve learning ability and enhance cooperation consciousness through autonomous learning; By appreciating colorful patterns, we can experience the beauty of mathematics and improve aesthetic taste; Only through the process of success and overcoming difficulties in hands-on operation and practical exploration can we enhance our confidence and courage in solving difficulties.
Verb (abbreviation of verb) teaching measures;
1, do a good job in teaching. Take "six conscientiousness" as the main way to improve the teaching quality and students' grades, study the teaching materials carefully, experience the concept of the new curriculum standard, attend classes carefully, help and correct homework seriously, and let students study hard at the same time.
2. Stimulate students' interest in learning by introducing mathematicians, history of mathematics and interesting problems in mathematics.
3. Guide students to actively participate in knowledge construction, create democracy, harmony and equality, and let students explore, cooperate and enjoy the classroom of finding happiness independently, so that students can experience the happiness of learning.
4. Through practical exploration, cultivate students' inductive reasoning ability and explore ways to solve problems in various ways.
5. Cultivate students' good study habits and develop students' non-intelligence factors.
6. Set up extracurricular interest groups and carry out colorful extracurricular activities.
7. Explore stratified education so that all students can be fully developed.
Sixth, the teaching progress:
Chapter VI February 20th-March 15
Chapter VII March 20061June-April 2005
Chapter VIII April 6th to April 20th
Mid-term review and exam April 21-April 30
Chapter 9 May 0 1 Day-May 15
Chapter 10 May 2006 1 day
Final review and exam June 0 1-