1, basic concepts and principles of mathematics
Natural number: the definition, basic properties and operation rules of natural number.
Integer: The basic concepts, properties and operations of integers, including positive integer, negative integer and zero.
Rational number: the definition, basic properties and operation of rational number, how to perform fractional operation, etc.
Real number: the basic concepts, properties and operations of real numbers, how to find square roots and cubic roots, etc.
Complex number: the basic concept, properties and operation of complex number, including real part and imaginary part.
2. Geometry and algebra
Geometry is a branch of mathematics that studies the concepts of shape, size and relative position. Basic geometric concepts, such as points, lines, surfaces, angles, triangles, etc. , and related theorems and formulas.
Fundamentals of algebra. Algebra is a branch of mathematics that studies the operations between numbers and symbols. Basic algebraic concepts, such as equations, algebras, polynomials, etc. , and related theorems and formulas.
3. Mathematics and life
Mathematics is everywhere in life. The application of mathematics in life, such as shopping discount, optimal path selection, time arrangement, etc. Mathematical modeling. Mathematical modeling is a process of describing the real world with mathematical language. Basic mathematical modeling methods, such as linear regression and optimization problems.
4. History and culture of mathematics
Important mathematical discoveries and theories, such as the development of Arabic numerals, the origin of algebra and geometry. Mathematical culture. Mathematics is not only a discipline, but also a culture. Cultural phenomena related to mathematics, such as mathematical competitions and legends of mathematicians.
5. Math games and interesting questions
Mathematics game is an interesting way to learn and apply mathematics. Classic math games, such as Sudoku and Rubik's Cube. Interesting math problem. Interesting mathematical problems from life practice, such as brain teasers and riddles. Through these topics, we can see our interest in mathematics and its application in practical problems.