Knowledge and skills

1. Experience the process of abstracting numbers from daily life, understand the meaning of numbers within 10,000, and get a preliminary understanding of fractions and decimals; Understand the commonly used quantities; Understand the significance of the four operations, master the necessary operating skills, and be able to operate accurately; Under specific circumstances, we can choose a suitable unit and make a simple estimate.

2. Experience the process of abstracting simple geometry and plane graphics from actual objects, and learn some simple geometry and common plane graphics; Feel the phenomena of translation, rotation and axial symmetry; Know the relative position of objects. Master the skills of preliminary measurement, reading and drawing.

3. Experience simple data collection, sorting and analysis, and understand simple data processing methods.

Mathematical thinking

1. Develop a sense of numbers in the process of describing simple phenomena in real life and estimating operation results with numbers and appropriate units of measurement; In the process of abstracting geometric figures from objects and imagining their movement and position, the concept of space is developed.

2. Be able to classify the simple data obtained in the investigation process, and the empirical data contains information.

3. In observation, operation and other activities, some simple guesses can be made.

I can think independently and express my thoughts.

problem solving

1. Under the guidance of teachers, find and put forward simple math problems from daily life and try to solve them.

2. Know some basic methods of analyzing and solving problems, and know that the same problem can have different solutions.

3. Experience the process of cooperating with others to solve problems.

4. Try to review the process of solving problems.

Emotional attitude

1. I am curious about things related to mathematics around me and can participate in mathematics activities.

2. With the help of others, feel the success of math activities and try to overcome difficulties.

3. Understanding mathematics can describe some phenomena in life and feel that mathematics is closely related to life.

4. Be able to listen to others' opinions, try to make suggestions on others' ideas, and know that objective facts should be respected.

The second stage (grades 4-6)

Knowledge and skills

1. Experience the process of abstracting numbers from specific situations and know more than 10,000 numbers; Understand the meaning of fractions, decimals, percentages and negative numbers; Master the necessary calculation skills; Understand the meaning of estimation; Simple quantitative relations can be expressed by equations, and simple equations can be solved.

2. Explore the relationship between the shape, size and position of some graphics, and understand the basic characteristics of some geometric bodies and plane graphics; Experience the movement process of simple graphics, draw the graphics after the movement of simple graphics on square paper, and understand some basic methods to determine the position of objects; Master the basic methods of measurement, map reading and drawing.

3. Master some simple data processing skills through the process of data collection, collation and analysis; Experience the equal possibility of random events and events.

4. You can solve simple application problems with the help of a calculator.

Mathematical thinking

1. Initially form a sense of number and space, and feel the intuitive role of symbols and geometry.

2. Further realize that data contains information and develop the concept of data analysis; Feel simple random phenomena through examples.

3. In observation, experiment, guessing, verification and other activities, cultivate the ability of rational reasoning, be able to think in an organized way, and express your thinking process and results more clearly.

4. Be able to think independently and understand some basic ideas of mathematics.

problem solving

1. Try to find and put forward simple math problems from daily life and solve them with some knowledge.

2. Can explore effective methods to analyze and solve simple problems, and understand the diversity of problem-solving methods.

3. Experience the process of solving problems in cooperation with others and try to explain your own thinking process.

4. Be able to review the problem-solving process and preliminarily judge the rationality of the results.

Emotional attitude

1. Willing to know the information related to mathematics in social life and take the initiative to participate in mathematics learning activities.

2. Under the encouragement and guidance of others, experience the process of overcoming difficulties and solving problems, and believe that you can learn mathematics well.

3. Understand the value of mathematics in the process of using mathematical knowledge and methods to solve problems.

4. Initially develop good qualities such as willingness to think, courage to question and evidence to follow.

The third stage (grades 7-9)

Knowledge and skills

1. Experience the process of abstracting mathematical symbols from specific situations, and understand rational numbers, real numbers, algebraic expressions, equations, inequalities and functions; Master the necessary calculation (including estimation) skills; Explore the quantitative relationship and changing law in specific problems, and master the expression methods of algebra, equations, inequalities and functions.

2. Explore and master the basic properties and judgments of intersecting lines, parallel lines, triangles, quadrangles and circles, and master basic proof methods and basic drawing skills; Explore and understand the translation, rotation and axial symmetry of plane graphics; Understand projections and views; Explore and understand the plane rectangular coordinate system and its application.

3. Experience the process of data collection, processing, analysis and inference, understand the sampling method, and experience the process of estimating the population with samples; Further understanding of random phenomena can calculate the probability of some simple events.

Mathematical thinking

1. The process of expressing quantitative relations by algebraic expressions, equations, inequalities, functions, etc. We can understand the idea of the model and establish symbol consciousness; Further develop the concept of space in the process of studying the nature and movement of graphics and determining the position of objects; Through the process of thinking about problems with the help of graphics, geometric intuition is initially established.

2. Understand the concept that data can be used for statistical inference, and develop and establish data analysis; Feel the characteristics of random phenomena.

3. Experience the process of exploring mathematical conclusions through perceptual reasoning and proving them through deductive reasoning, and develop the ability of perceptual reasoning and deductive reasoning in various forms of mathematical activities.

4. Be able to think independently and understand the basic ideas and ways of thinking of mathematics.

problem solving

1. Initially learn to find and ask questions from the perspective of mathematics in specific situations, comprehensively use mathematical knowledge and methods to solve simple practical problems, enhance application awareness and improve practical ability.

2. Experience the process of seeking analysis and solution from different angles, experience the diversity of solution methods, and master some basic methods of analysis and solution.

3. In the process of cooperation and communication with others, I can better understand other people's thinking methods and conclusions.

4. Be able to reflect on the questions raised by others, and initially form a sense of evaluation and reflection.

Emotional attitude

1. Take an active part in mathematics activities, and have curiosity and thirst for knowledge about mathematics.

2. Feel the happiness of success, experience the process of overcoming difficulties and solving math problems alone, have the courage to overcome difficulties and have the confidence to learn math well.

3. In the process of using mathematics to express and solve problems, we should know that mathematics is abstract, rigorous and widely used, and realize the value of mathematics.

4. Dare to express your ideas, dare to question, dare to innovate, develop study habits such as diligence, independent thinking, cooperation and communication, and form a rigorous and realistic scientific attitude.