1. operation of fractions and decimals: addition, subtraction, multiplication and division of fractions and decimals is one of the key and difficult points in sixth grade mathematics. Students need to master the basic concepts, properties and operation rules of fractions and decimals, and be able to apply them flexibly to practical problems.

2. The nature and calculation of geometric figures: The geometric figures in sixth grade mathematics include straight lines, curves, polygons and circles. Students need to master the properties of various geometric figures, such as side length, area and perimeter, and can use these properties to solve practical problems.

3. Data collection and collation: Grade six mathematics involves data collection and collation, and students need to learn how to design questionnaires, collect data, and collate and analyze data. This is very important to cultivate students' ability of observation, analysis and logical thinking.

4. Solving equations and inequalities: Solving equations and inequalities is a difficult part in sixth grade mathematics. Students need to master the solutions of linear equations and linear inequalities and apply them to practical problems.

5. Logical reasoning and problem-solving: Problem-solving and logical reasoning in sixth-grade mathematics is an important link to cultivate students' comprehensive ability to use what they have learned to solve problems. Students need to learn to analyze problems, extract key information of problems, and use what they have learned to reason and solve problems.