(1) will use the root sign to represent the arithmetic square root.

(2) Understand the concept of the simplest quadratic root.

(3) Can solve simple ternary linear equations.

(4) The discriminant of the roots of a quadratic equation can be used to judge whether the equation has real roots and whether the two real roots are equal.

(5) Understand the relationship between the roots and coefficients of a quadratic equation (Vieta's theorem).

(6) Understand the relationship between linear function and binary linear equations and binary linear equations.

(7) Knowing the coordinates of three points on a given line, we can determine a quadratic function.

(8) Understand the concept of regular polygon and the relationship between regular polygon and circle.

(9) It can be done by basic drawing: making circumscribed circle and inscribed circle of triangle; Draw a circle inscribed with a square and a regular hexagon.

(10) In order to properly strengthen reasoning, the following theorems are proved: similar triangles's judgment theorem and property theorem, vertical diameter theorem, circle angle theorem, tangent length theorem, etc. However, these theorems are not necessary to prove other propositions.

2. The main contents deleted are:

(1) valid number.

(2) The application of one-dimensional linear inequality.

(3) Using the image of linear function, the approximate solution of the equation is obtained.

(4) The related contents of trapezoid and isosceles trapezoid.

(5) Viewpoint, visual angle and blind area.

(6) Calculate the lateral area and total area of the cone.

3. The name expression has been changed:

(1) The names of the four learning fields were changed to "Number and Algebra"; Graphics and Geometry (no longer called Space and Graphics); Statistics and Probability; "Synthesis and Practice" (the third phase is not called "Project Learning", that is, all three phases are called "Synthesis and Practice").

(2) Mathematical axioms were renamed as basic facts of mathematics, and nine basic facts were clarified.

(3) The requirement of "two basics" in mathematics is changed to "four basics" in mathematics: basic knowledge, basic skills, basic ideas and basic activity experience.

(4) The concepts of "model thinking" and "geometric intuition" are added, pointing out that "geometric intuition mainly refers to the description and analysis of mathematical problems with graphics".