The knowledge of mathematics in grade six includes decimals and fractions, percentages, integers, figures and geometry, algebra and equations.

1, decimals and fractions: Grade six students will further learn the concepts and operations of decimals and fractions. They will learn how to convert fractions into decimals. For example, students will learn to convert fractions into decimals, convert decimals into fractions, and how to add, subtract, multiply and divide decimals and fractions.

2. Percentage: Students will learn the concept and representation of percentage. They will understand the relationship between percentages and fractions and decimals, and learn to add, subtract, multiply and divide percentages. For example, students will learn how to calculate the quantity representing percentage, such as tax rate, discount or other percentage.

3. Integer: In the sixth grade, students will initially learn the concepts of positive integer, negative integer and zero, as well as the addition and subtraction of integers. In the sixth grade, they will learn how to represent integers on the number axis and solve practical problems involving integers, such as altitude change and temperature change.

4. Graphics and Geometry: Students will continue to learn the properties of graphics such as parallel lines, vertical lines, polygons, triangles and quadrangles, and calculate the perimeter and area. In the sixth grade, they will learn to use different formulas to calculate the perimeter and area of graphics and explore the characteristics and relationships of graphics.

5. Algebra and Equation: Students will have a preliminary understanding of the concept and symbolic operation of algebra, learn the solution of linear equations with one variable, and carry out simple algebraic operation and simplification. They will learn how to use algebraic expressions and equations to solve practical problems and cultivate algebraic thinking and problem-solving ability.

Extended data:

1. Cultivate logical thinking and problem-solving ability: Mathematics is a subject that needs logical thinking and problem-solving ability. By studying sixth grade mathematics, students will cultivate their logical thinking ability and learn how to analyze and solve problems. This way of thinking is widely used in daily life and study, which can improve students' thinking ability and creativity.

2. Improve math literacy and math application ability: Learning sixth grade math can help students build a solid math foundation and master basic math concepts and skills. This is very important for future study and life. Mathematical literacy and mathematical application ability can enable students to better handle data and information, solve practical problems, and be competitive in various disciplines and occupations.