1, Numbers and Algebra: Understanding, Representation, Size, Operation and Estimation of Numbers;

2. Graphics and geometry: the basic graphics of space and plane, the nature and classification of graphics; Translation, rotation and axial symmetry of graphics;

3. Statistics and probability: collecting, sorting and describing data and processing data;

4. Practice and comprehensive application: Learning activities with a class of problems as the carrier and students' active participation are important ways to help students accumulate experience in mathematics activities.

The importance of mathematics:

1, evergreen knowledge

Mathematics, as an important compulsory course from primary school to middle school to university, is an indispensable knowledge for human beings, which is beyond doubt.

Many human discoveries are like passing clouds, and many disciplines establish new theories by overthrowing previous conclusions; However, the development of mathematics in past dynasties is not that future generations destroy the achievements of predecessors, but that each generation of mathematicians adds a new layer of architecture on the basis of the original architecture. Therefore, the conclusion of mathematics often has eternal significance.

2. Scientific language

Galileo once said, "naturally this book is written in mathematical language ... unless you learn its language first ... this book can't be read." The scientific language of mathematics is very precise, which is the characteristic of mathematics.

At the same time, this language is universal. Addition, subtraction, multiplication and division, square root, exponential logarithm, differential integral, constant and so on, although these mathematical languages and symbols may be varied at first, they have long been unified into a fixed style, which is universal all over the world and very convenient for us to master and use.

3. Powerful tools

It is obvious to all that mathematics plays an important role in people's daily life and production anytime and anywhere.

In modern times, mathematics, as an important weapon of modernization, plays a key and even decisive role in many important fields. China's outstanding achievements in the development of two bombs and one satellite have condensed the efforts of many outstanding mathematicians, which is a prominent example.

4, * * * the same basis

Now, not only in natural science and technical science, but also in economic science, management science and even humanities and social sciences, mathematics has become an indispensable and important foundation in order to accurately and quantitatively consider problems and get a well-founded and regular understanding. Without the support of mathematics, it is difficult to make great progress in related sciences, and many disciplines (especially many natural science disciplines) have even appeared the trend of mathematicization in recent years.

5. Important science

Mathematics ignores the concrete forms and attributes of matter, and studies the real world purely from the perspective of quantitative relations and spatial forms. Similar to philosophy, it has the characteristics of transcending specific disciplines and universal application, which is of guiding significance to all disciplines.

Nowadays, mathematical science has formed a huge scientific system including many branches of pure mathematics and applied mathematics and many emerging interdisciplinary subjects.

6. Key technologies

It seems incredible that mathematics, which used to be completed with a pen and a piece of paper, can become a technology. However, the combination of mathematical ideas and methods with highly developed computing technology does form a technology, and it is a key and realizable technology, which is called "mathematical technology". The core part of this technology is mathematics. If you take it away, there's only a pile of scrap metal.

7, the cornerstone of civilization

Mathematics is an important foundation of human civilization. With the development of human civilization, it has been playing an important role in promoting and occupying a decisive position. Mathematics was, is and will be an advanced culture. It leads, promotes and influences the progress of human civilization, profoundly changes the face of the world, changes the thinking ability and cognitive level of human beings, and changes human beings themselves.