Chapter 1 Rational Numbers

1. 1 positive and negative numbers

Addition and subtraction of rational number 1.3

Multiplication and division of rational number 1.4

1.5 power of rational number

Chapter II Addition and subtraction of algebraic expressions

2. 1 algebraic expression

2.2 Addition and subtraction of algebraic expressions

Chapter III One-variable Linear Equation

3. 1 From Formula to Equation

3.2 Solving a linear equation with one variable (1)- merging similar terms and shift terms.

3.3 Solve the linear equation of one variable (2)-Remove brackets and denominator.

3.4 Practical problems and linear equations of one variable

The fourth chapter is the preliminary understanding of graphics.

4. 1 color graphics

4.2 Lines, rays and line segments

4.3 jiao

Chapter V Intersecting Lines and Parallel Lines

5. 1 intersection line

5.2 Parallel lines and their determination

5.3 Properties of parallel lines

Chapter VI Plane Cartesian Coordinate System

6. 1 plane rectangular coordinate system

6.2 Simple application of coordinate method

Chapter VII Triangle

7. 1 Line segment related to triangle

7.2 Angle related to triangle

7.3 sum of polygons and their internal angles

7.4 Project Learning Mosaic

Chapter VIII Binary Linear Equations

8. 1 binary linear equations

8.2 Elimination Solution of Binary Linear Equation

8.3 Practical Problems and Binary Linear Equations

8.4 An example of solving ternary linear equations

Chapter 9 Inequality and Unequal Groups

9. 1 inequality

9.2 Practical Problems and One-dimensional Linear Inequalities

9.3 One-dimensional linear inequality system

Chapter 10 Data Collection, Arrangement and Description

10. 1 statistical survey

10.2 histogram

10.3 project learning talks about water saving from data, and designs and makes rectangular frames.

junior two

Chapter 11 congruent triangles

1 1. 1 congruent triangles

1 1.2 Determination of Triangle Congruence

Properties of angular bisector 1 1.3

Chapter 12 Axisymmetric

12. 1 axis symmetry

12.2 is used for axisymmetric graphics.

12.3 isosceles triangle

Chapter 13 Real Numbers

13. 1 square root

13.2 cube root

13.3 real number

Chapter 14 Linear Functions

14. 1 variables and functions

14.2 linear function

14.3 looking at equations (groups) and inequalities from the perspective of functions

14.4 project learning options

Chapter XV Multiplication, Division and Factorization of Algebraic Expressions

15. 1 multiplication of algebraic expressions

15.2 multiplication formula

Division of 15.3 algebraic expression

Chapter 16 Scores

16. 1 score

16.2 decimal operation

16.3 fractional equation

Chapter 17 Inverse proportional function

17. 1 inverse proportional function

17.2 practical problems and inverse proportional functions

Chapter 18 Pythagorean Theorem

18. 1 Pythagorean theorem

Inverse Theorem of Pythagorean Theorem 18.2

Chapter 19 Quadrilateral

19. 1 parallelogram, parallelogram rule

19.2 Special parallelogram

19.3 trapezoid

19.4 key points of project learning

Chapter 20 Data Analysis

20. 1 representative of data

20.2 data fluctuation

20.3 Data Analysis in Physical Fitness Test of Project Learning

Third grade of middle school

Chapter 21 Quadratic Radicals

2 1. 1 quadratic root

Multiplication and Division of 2 1.2 Quadratic Radical

Addition and subtraction of 2 1.3 quadratic radical

Chapter 22 One-variable quadratic equation

22. 1 unary quadratic equation

22.2 order reduction-solving a quadratic equation with one variable

22.3 practical problems and quadratic equations in one variable

Chapter 23 Rotation

23. 1 graphic rotation

23.2 Center symmetry

23.3 Research on pattern design, with rotational symmetry.

Chapter 24 Circle

24. 1 circle

24.2 Position relationship of points, lines, circles and circles

24.3 Regular Polygons and Circles, Pi

24.4 Arc length and sector area

Chapter 25 Preliminary Probability

25. 1 random events and probability

25.2 use enumeration method to find probability, probability and winning.

25.3 Use frequency to estimate probability

25.4 Study the arrangement of letters on the keyboard.

Chapter 26 Quadratic Function

26. 1 quadratic function and its image

26.2 Look at the quadratic equation of one variable from the perspective of function, and explore the properties of quadratic function.

26.3 Practical Problems and Quadratic Functions

Chapter 27 Similarity

27. 1 graphic similarity

27.2 similar triangles

27.3 Similarity

Chapter 28 Acute Angle Trigonometric Function

28. 1 acute trigonometric function

28.2 Solving Right Triangle

Chapter 29 Forecasts and Views

29. 1 projection

29.2 Three Views

29.3 theme learning to make three-dimensional models

Senior high school: compulsory (1)

The first chapter is the concept of set and function.

1. 1 set

1.2 function and its representation; Basic properties of functions

Chapter II Basic Elementary Functions (Ⅰ)

2. 1 exponential function

2.2 Logarithmic function

2.3 power function

Chapter III Functional Application

3. 1 functions and equations

3.2 Functional model and its application

Compulsory course (2)

Chapter I Space Geometry

1. 1 spatial geometry

1.2 Three Views and Straight Views of Space Geometry

1.3 surface area and volume of space geometry

Chapter II Positional Relations of Points, Lines and Surfaces

2. 1 The positional relationship among points, lines and surfaces in space

2.2 Determination of parallelism between straight line and plane and its properties

2.3 Determination and characteristics of vertical lines and planes

Chapter III Linear Sum Equation

3. 1 Angle and slope of straight line

3.2 linear equation

3.3 Formula for coordinates and distance of intersection points of straight lines

The fourth chapter circle sum equation

4. Equation of1circle

4.2 The positional relationship between straight line and circle

4.3 Spatial Cartesian Coordinate System

Compulsory (3)

The first chapter is the preliminary algorithm.

1. 1 algorithm and program block diagram

1.2 basic algorithm statement

1.3 algorithm case

Chapter II Statistics

2. 1 random sampling

2.2 Using samples to estimate the population

2.3 Correlation between variables

Chapter III Probability

3. 1 Probability of random events

3.2 Classical probability

3.3 Geometric probability

Compulsory course (4)

The first chapter trigonometric function

1. 1 arbitrary angle and arc system

1.2 trigonometric function at any angle

The inductive formula of 1.3 trigonometric function

Images and properties of 1.4 trigonometric function

1.5 image, function y = asin (ω x+φ); Amplitude, Period, Frequency and Phase of Reading and Thinking

Simple application of 1.6 trigonometric function model

Chapter II Plane Vector

2. The actual background and basic concepts of1plane vector

2.2 Linear Operation of Plane Vector

2.3 Basic Theorem and Coordinate Representation of Plane Vector

2.4 product of plane vectors

2.5 examples of plane vector application

Chapter III Triangular Identity Transformation

3. 1 sine, cosine and tangent sum difference formula

3.2 Simple trigonometric identity transformation

Compulsory Five

Chapter 1 Solving Triangle

1. 1 sine theorem and cosine theorem

Re-discussion on Exploring and Finding Solution Triangle

Application example of 1.2

Reading and Thinking of Helen and Qin

1.3 Practice homework

summary

Review reference questions

Chapter II Sequence of Numbers

2. The concept and simple representation of1sequence

2.2 arithmetic progression

2.3 arithmetic progression's top n sums

2.4 geometric series

2.5 the first n sums of geometric series

Chapter III Inequality

3. 1 inequality relation and inequality

3.2 One-variable quadratic inequality and its solution

3.3 Binary Linear Inequalities (Groups) and Simple Linear Programming Problems

3.3 Basic inequality

Elective course (1)

Chapter I Statistical Cases

The basic idea of 1. 1 regression analysis and its preliminary application

The basic idea of 1.2 independence test and its preliminary application

Chapter II Reasoning and Proof

2. 1 Rational reasoning and deductive reasoning

2.2 Direct proof and indirect proof

Chapter 3: The extension of number system and the introduction of complex numbers.

3. Generalization of1number system and the concept of complex number

3.2 Four operations in complex algebraic form

Chapter IV Block Diagram

4. 1 Flowchart

4.2 Structure Diagram

Chapter 1 Common Logical Terms

1. 1 proposition and its relationship

The necessary and sufficient condition of 1.2

1.3 Simple logical connectives

Reading and thinking about "and" or "not" and "intersection" and "and"

1.4 Full name quantifier and existential quantifier

Chapter II Conic Curve and Equation

2. 1 ellipse

2.2 hyperbola

2.3 parabola

Chapter III Derivatives and Their Applications

3. 1 rate of change and derivative

3.2 Calculation of Derivative

3.3 Application of Derivative in Function Research

3.4 examples of optimization problems in life

Elective course (2)

Chapter 1 Common Logical Terms

1. 1 proposition and its relationship

The necessary and sufficient condition of 1.2

1.3 Simple logical connectives

1.4 Full name quantifier and existential quantifier

Chapter II Conic Curve and Equation

2. 1 curves and equations

2.2 ellipse

2.3 hyperbola

2.4 parabola

Chapter III Space Vector and Solid Geometry

3. 1 space vector and its operation

3.2 vector method in solid geometry

Chapter 1 Derivative and Its Application

1. 1 rate of change and derivative

Calculation of 1.2 derivative

Application of 1.3 derivative in function research

1.4 examples of optimization problems in life

The concept of 1.5 definite integral

1.6 Fundamental Theorem of Calculus

Simple application of 1.7 definite integral

Chapter II Reasoning and Proof

2. 1 Rational reasoning and deductive reasoning

2.2 Direct proof and indirect proof

2.3 Mathematical induction

Chapter 3: The extension of number system and the introduction of complex numbers.

3. Generalization of1number system and the concept of complex number

3.2 Four operations in complex algebraic form

The first chapter is the counting principle

1. 1 classification addition counting principle and step multiplication counting principle

1.2 permutation and combination

1.3 binomial theorem

Chapter II Random Variables and Their Distribution

2. 1 Discrete Random Variable and its Distribution Table

2.2 binomial distribution and its application

2.3 mean and variance of discrete random variables

2.4 Normal distribution; Influence of information technology application on normal distribution

Chapter III Statistical Cases

3. The basic idea of1regression analysis and its preliminary application

3.2 the basic idea of independence test and its preliminary application