What does a junior high school math teacher usually take for high school knowledge?

The first part is the teaching content of junior high school mathematics.

Chapter 1 Numbers and Algebra

Section 1 Numbers and Formulas

First, the related concepts of real numbers

Second, algebraic expressions.

Equation and inequality in the second quarter

I. Equation

Second, inequality.

Section 3 Functions

First, the concept of function.

Second, the image and nature of the function

Chapter II Space and Graphics

The first section plane graphics

I. Basic concepts

Second, two important contents-vertical and parallel.

Third, the special plane graphics

Section 2 Symmetry, Translation and Rotation of Graphics

First, the symmetry of graphics.

Second, the translation and rotation of graphics

Section 3 Views and Projections

I. Forecast

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Chapter III Statistics and Probability

Section 1 Statistics

I. Statistical methods

Second, the characteristics of statistical data

Probability in the second quarter

I. Events

Second, the probability of the event

Third, the calculation method of probability

Chapter IV Synthesis and Practice

The first part: Theme research.

First, the development of mathematical topics

Second, the characteristics of mathematical problems

Third, the strategy of developing mathematical topics.

Fourth, the significance of mathematical problems

Section 2 Mathematics Activities

First, the significance and classification of activity classes

Second, the teaching strategy of activity class

The second part is the teaching content of high school mathematics. The first chapter is set and simple logic.

I. Assemble

Second, simple logic.

Chapter II Functions

The concept of the first section function

First, the definition of function

Second, the basic properties of the function

Third, the function of image.

Section 2 Basic Elementary Functions

Exponential function and logarithmic function

Second, the power function.

The third quarter trigonometric function

First, popularize the concepts of angle and arc system.

Second, the trigonometric function of any angle

3. Basic relations and inductive formulas of trigonometric functions with the same angle.

Four. Images and properties of sine function, cosine function and tangent function

Verb (abbreviation of verb) Image and properties of function y = asin (ω x+φ)

Six, sum, difference, times, half angle formula

Seven, sine and cosine theorem

The third chapter is the preliminary algorithm.

I. Basic concepts

Second, the algorithm case

Chapter IV Inequality, Sequence and Limit

The first section inequality

First, the solution of inequality.

Second, the proof of inequality

Section 2 sequence of numbers

I. arithmetic progression and geometric series

Second, the linear recursive sequence

Section 3 restrictions

First, the limit of the sequence

Second, the limit of the function

Chapter V Solid Geometry

Section 1 Straight lines and planes

First, a straight line

Second, the positional relationship between straight line and plane

Third, the positional relationship between planes.

Prisms, pyramids and spheres in the second quarter

I. Prism

Second, the pyramids

Third, the ball

Chapter VI Analytic Geometry

The first section straight line sum equation

First, the linear equation

Second, the positional relationship between two straight lines

Third, points and straight lines

The second section circle sum equation

A, the equation of the circle

Second, the positional relationship between a straight line and a circle

Section 3 conic curve

First, the concept, standard equation and geometric properties of conic section.

Second, the positional relationship between straight line and conic curve

Chapter VII Vectors and Complex Numbers

The first part vector

First, the plane vector

Second, the space vector

Section 2 Complex Numbers

First, the concept of complex number

Second, the operation of complex numbers

Third, the geometric meaning of complex numbers

Chapter VIII Reasoning and Proof

I. Basic definitions

Second, the inequality proof method

Thirdly, mathematical induction.

Chapter 9 permutation, combination and binomial theorem

I. Two Basic Principles

Second, the arrangement

Third, the combination

Fourthly, the synthesis of permutation and combination.

Five, binomial theorem

Chapter 10 Statistics and Probability

Section 1 Statistics

I. Sampling

Second, the linear correlation between the two variables.

Third, normal distribution.

Probability in the second quarter

First, the probability of random events

Second, discrete random variables

Part III Basic knowledge of advanced mathematics

Chapter 1 Limit, Continuity and Method of Finding Limit

The first section sequence limit and function limit

First, the definition of limit

Second, the basic nature of limit and two important limits

Third, the determination of the existence of limit

Fourth, the method of finding the limit

Continuous function in the second quarter

I. The concept of continuity

Second, the judgment of function continuity

Third, the properties of continuous functions.

The second chapter is the derivative and integral of unary function.

First of all, the concept of derivative

Second, the application of derivatives

Third, indefinite integral

Fourth, definite integral

V. Calculation of definite integral and indefinite integral

Chapter III Spatial Analytic Geometry

I. Spatial Cartesian coordinate system

Second, the plane equation and linear equation

Third, the relationship between plane and straight line and the distance formula

Chapter IV Matrix and Transformation

I. The concept of matrix

Second, the operation of matrix

Thirdly, elementary transformation of matrix.

The fourth part is the middle school mathematics curriculum and teaching theory.

Chapter I Middle School Mathematics Curriculum

The first part is the basic idea of middle school mathematics curriculum standard.

First, the basic concepts of junior high school mathematics curriculum standards

Second, the basic concept of high school mathematics curriculum standards

The second part is the goal and content of middle school mathematics curriculum.

First, the overall goals and specific goals of junior high school mathematics curriculum standards

Second, junior high school mathematics curriculum content

Third, the overall goal of high school mathematics curriculum standards

Fourth, the curriculum content of high school mathematics

Chapter II Middle School Mathematics Teaching Theory

Section 1 Principles of Mathematics Teaching in Middle Schools

I the principle of combining abstraction with concreteness

Second, the principle of combining rigor with ability.

Third, the principle of combining theory with practice.

Fourth, the principle of combining consolidation with development.

Section 2 Middle School Mathematics Teaching Mode

First, the heuristic teaching model

Second, cooperative learning teaching mode

Section 3 Middle School Mathematics Teaching Methods

First, teaching methods.

Second, the method of conversation

Third, discussion method.

Fourth, self-study counseling method

Verb (abbreviation of verb) discovery method

The fourth quarter concept teaching

I. Definition and division of concepts

Second, the teaching philosophy

Section 5 Proposition Teaching

First, an overview of mathematical propositions

Second, the teaching of mathematical propositions

Section 6 Reasoning Teaching

First, the structure of reasoning

Second, the form of reasoning.

Section 7 Teaching of Mathematical Thinking Methods

First, the basic mathematical thinking methods in middle school mathematics

Second, the teaching principles of basic mathematics thinking methods in middle schools

Chapter III Teaching Skills

Section 1 Introduction Skills in Mathematics Classroom

First, direct introduction method

Second, review the introduction method

Third, the case introduction method

Fourth, the fun introduction method

Five, suspense introduction method

Section 2 Language Skills in Mathematics Classroom

First, the principles of mathematics classroom language

Second, the structural elements of mathematics classroom language skills

Third, the types of mathematics classroom language

The skills of writing on the blackboard in math class in the third quarter

First, the role of blackboard writing

Second, the types and requirements of blackboard writing

The fourth quarter math classroom questioning skills

First, the principle of classroom questioning

Second, the types of classroom questions

Section 5 Math Classroom Organization and Management Skills

Second, the organization and management of mathematics classroom teaching

Section 6 Mathematics Classroom Feedback and Strengthening Skills

First, the main methods of feedback

Second, strengthen basic skills.

Chapter IV Teaching Design

The first part outlines the design of mathematics classroom teaching in middle schools.

First, the connotation of mathematics classroom teaching design

Second, the significance of mathematics classroom teaching design

The second part is the basic content of middle school mathematics classroom teaching design.

I. teaching material analysis

Second, the analysis of learning situation

Third, set teaching objectives.

Fourth, consider teaching methods.

Verb (abbreviation of verb) the use of teaching media

Sixth, the analysis of teaching implementation process.

Seven, teaching reflection

Eight, the writing of instructional design

Chapter V Evaluation of Mathematics Education

Section 1 Overview of Mathematics Education Evaluation

First, the function of mathematics education evaluation

Second, the principles of mathematics education evaluation

Third, the types of mathematics education evaluation

Section 2 Evaluation of Mathematics Classroom Teaching

First, the elements of mathematics classroom teaching evaluation

Second, mathematics classroom teaching evaluation methods