First, the understanding of logarithm and sense of number

This topic involves the knowledge and understanding of integers, decimals, fractions and percentages. Students should be able to express quantitative relations and data information with different numbers according to different situations and needs. At the same time, students should also have a certain sense of numbers and be able to intuitively understand the meaning and operation rules of numbers.

Second, the number of operations and problem solving

This topic emphasizes students' logarithmic operation ability, including four operations of integer, decimal and fraction and simple operation. Students should be able to use their mathematical knowledge to solve practical problems in life, such as shopping, measurement and statistics. At the same time, students should be able to solve more complicated mathematical problems through calculation, reasoning and verification.

Third, the quantitative relationship and data analysis

This topic focuses on students' understanding and application of quantitative relations, such as concepts such as time, distance and quality and their related quantitative relations. Students should be able to use their own mathematical knowledge to analyze data in life, such as tables and charts, and make simple predictions and decisions based on the results of data analysis.

Fourthly, mathematical thinking and problem modeling.

This theme emphasizes students' mathematical thinking ability and problem modeling ability. When solving practical problems, students should be able to use the mathematical knowledge they have learned to carry out mathematical thinking such as logical reasoning, inductive classification and reduction. At the same time, students should also be able to use mathematical symbols, graphics, equations and other different ways to express and solve problems.

Five, mathematical culture and mathematical application

This theme focuses on students' understanding of mathematical culture and the application of mathematics in real life. Students should be able to understand some important mathematical ideas and methods, such as induction, deduction and analogy, and can use these ideas and methods in daily life. At the same time, students should also be able to understand some important mathematical figures and events, such as Zu Chongzhi and Hua, and understand the development and application value of mathematics through these figures and events.

To sum up, the theme of the number of stages and algebra in primary and secondary schools in the 2022 edition of compulsory education mathematics curriculum standard involves many aspects, aiming at helping students to establish their knowledge and understanding of logarithm, cultivate their mathematical thinking and problem-solving ability, and apply what they have learned in real life.