The first phase (grade 1~3)

I. Numbers and algebra

(A) the understanding of quantity

1. Understand the meaning of numbers within 10,000 in real situations, recognize, read and write numbers within 10,000, and use numbers to indicate the number of objects or the order and position of things.

2. Be able to name each number and understand the meaning of the number on each number; Know that an abacus can represent multiple numbers.

Step 3 understand symbols

4. Feel the meaning of large numbers in life situations and make an estimate.

5. Be able to get a preliminary understanding of decimals and fractions in combination with specific situations, and be able to read and write decimals and fractions.

6. Be able to compare the sizes of two one-digit decimals and the sizes of two fractions with the same denominator according to specific conditions.

7. Be able to use numbers to express some things in daily life and communicate.

(2) Number of operations

1. Combined with the specific situation, I realized the significance of four integer operations.

2. Proficient in oral calculation of addition and subtraction within 20, multiplication and division within tables, addition and subtraction within 100, and multiplication and division of one-digit and two-digit numbers.

3. Can calculate the addition and subtraction of three digits, one digit multiplied by three digits, two digits multiplied by two digits and three digits divided by one digit.

4. Knowing the brackets, you can do simple integer elementary arithmetic (two steps).

5. You can add and subtract fractions with the same denominator (denominator is less than 10) and a decimal.

6. Be able to estimate according to the specific situation and explain the estimation process.

7. Communicate their algorithms with others.

8. Be able to solve simple problems in life by using numbers and numerical operations, and explain the practical significance of the results.

(3) Common quantity

1. In real situations, know elements, angles and points, and understand their relationships.

2. Be able to know clocks and watches and understand the 24-hour timing method; Combine your own life experience and experience the length of time.

3. Know the date and the relationship between them.

4. Feel and know grams, kilograms and tons in real situations, and be able to perform simple unit conversion.

5. Be able to solve simple problems related to common usage in combination with real life.

(D) Explore the law

Second, graphics and geometry.

(A) the understanding of graphics

1. Geometry such as cuboid, cube, cylinder and sphere can be identified by objects and models.

2. Be able to identify simple objects observed from different angles according to specific things, photos or direct vision.

3. Can recognize simple figures such as rectangle, square, triangle, parallelogram and circle.

4. Through observation and operation, get a preliminary understanding of the characteristics of rectangles and squares.

5. You can use rectangular, square, triangular, parallelogram or circular puzzles.

6. Understand the angle, right angle, acute angle and obtuse angle according to the life situation.

7. Can classify simple geometry and graphics.

(2) measurement

1. Combining with real life, I experienced the process of measuring the length of an object with different methods, and realized the importance of establishing a unified measurement unit.

2. In practical activities, experience and understand the length units of kilometers, meters and centimeters, know decimeters and millimeters, perform simple unit conversion, and properly select the length units.

The length of some objects can be estimated and measured.

4. Understand the perimeter with examples, measure the perimeter of simple figures, and explore and master the perimeter formulas of rectangles and squares.

5. Understand the area with examples, understand and recognize the area units of centimeter 2, decimeter 2 and meter 2, and perform simple unit conversion.

6. Exploring and mastering the area formulas of rectangles and squares will estimate the area of a given simple figure.

(C) the movement of graphics

1. With examples, feel the phenomena of translation, rotation and axial symmetry.

2. Translated graphics that can recognize simple graphics.

3. Through observation and operation, we have a preliminary understanding of axisymmetric graphics.

(4) graphics and location

1. will use up, down, left, right, front and back to describe the relative position of an object.

2. Given one of the four directions of east, south, west and north, you can recognize the other three directions. Knowing the four directions of northeast, northwest, southeast and southwest, you will use these words to describe the direction of an object.

Three. Statistics and probability

1. Be able to classify things or data according to given standards or standards of your own choice, and feel the relationship between classification and classification standards.

2. Go through the simple process of data collection, understand the simple methods of data collection such as investigation and measurement, and present the results of data collection in your own way (words, pictures, tables, etc.). ).

3. Through the simple analysis of data, understand the function of using data to express and communicate, and feel the information contained in the data.

Fourthly, synthesis and practice.

1. Through practical activities, I feel the role of mathematics in daily life, experience the ability to solve simple problems by using the knowledge and methods I have learned, and gain preliminary experience in mathematical activities.

2. Understand the problems to be solved and the solutions in practice.

3. Go through the process of actual operation to further understand what you have learned.

The second stage (grades 4-6)

I. Numbers and algebra

(A) the understanding of quantity

1. In specific cases, if you know the counting method of numbers and decimals above 10,000, you will use 10,000 and 100 million as units to represent large numbers.

2. Feel the meaning of large numbers in combination with the real situation and make an estimate.

3. I will use numbers to describe some characteristics of things and further understand the role of numbers in daily life.

4. Know the characteristics of multiples of 2, 3 and 5, and know the common multiple and the minimum common multiple; From the natural numbers from 1 to 100, you can find the multiples of all natural numbers within 10, and you can find the common multiple and the least common multiple of two natural numbers within 10.

5. Understand the common factor and the greatest common factor; From the natural numbers from 1 to 100, all the factors of a natural number can be found, and the common factor and the greatest common factor of two natural numbers can be found.

6. Understand natural numbers, integers, odd numbers, even numbers, prime numbers and composite numbers.

7. Understand the meaning of decimals and fractions as well as the meaning of percentages according to specific conditions; Decimals, fractions, and percentages will be converted (excluding cyclic decimal to fraction conversion).

8. You can compare the size of decimals with the size of fractions.

9. In the familiar life situation, if you understand the meaning of negative numbers, you will use negative numbers to represent some quantities in daily life.

(2) Number of operations

1. You can calculate three digits multiplied by two digits and three digits divided by two digits.

2. Knowing the brackets, you can perform simple integer elementary arithmetic (mainly in two steps, no more than three steps).

3. Explore and understand the arithmetic rules (the exchange law and association law of addition, the exchange law and association law of multiplication, and the distribution law of multiplication to addition), and use the arithmetic rules to perform some simple operations.

4. Experience the reciprocal relationship of addition, subtraction, multiplication and division in the process of specific operation and solving simple practical problems.

5. Can perform simple decimal, decimal (excluding decimal) addition, subtraction, multiplication, Divison and mixed operation (mainly divided into two steps, no more than three steps).

6. Can solve simple practical problems of decimals, fractions and percentages.

7. Under specific circumstances, understand the common quantitative relationship: total price = unit price? Quantity, distance = speed? Time, and can solve simple practical problems.

8. Experience the process of communicating your own algorithm with others and be able to express your thoughts.

9. In the process of solving the problem, you can choose the appropriate method to estimate.

10. With the help of calculator, we can solve simple practical problems and explore simple laws.

(3) Formulas and equations

1. Numbers can be represented by letters in certain cases.

2. Combined with the simple actual situation, understand the equivalence relation and express it in letters.

3. The equation can be used to express the equivalence relation in simple cases (such as 3x+2=5, 2x-x=3) to understand the function of the equation.

4. By understanding the properties of the equation, we can use the properties of the equation to solve simple equations.

(4) Direct ratio and inverse ratio

1. Understand the significance of ratio and proportional distribution in practical situations and solve simple problems.

2. Through specific circumstances, recognize the quantity that is directly proportional and the quantity that is inversely proportional.

3. Will draw a picture on the grid paper in direct proportion according to the given data, and estimate the value of another quantity according to the value of one quantity.

4. Be able to find examples of positive and negative proportional relations in life and communicate with them.

(5) Explore the law

Explore hidden laws or trends in a given situation.

Second, graphics and geometry.

(A) the understanding of graphics

1. Understand line segments, rays and straight lines with examples.

2. Understand that the line segment is the shortest among all the connecting lines between two points, and know the distance between two points.

3. Know right angles and rounded corners, and understand the relationship between rounded corners, right angles, obtuse angles, right angles and acute angles.

4. Understand the parallel and intersecting (including vertical) relationship of two straight lines on the plane according to the living conditions.

5. Through observation and operation, know parallelogram, trapezoid and circle, know sector, and draw circle with compasses.

6. Know the triangle. Through observation and operation, we know that the sum of two sides of a triangle is greater than the third side, and the sum of the internal angles of the triangle is 180? .

7. Know isosceles triangle, equilateral triangle, right triangle, acute triangle and obtuse triangle.

8. Be able to recognize the shapes of objects seen from different directions (front, side and top).

9. Through observation and operation, know the cuboid, cube, cylinder and cone, and know the development diagram of cuboid, cube and cylinder.

(2) measurement

1. You can measure the degree of a specified angle with a protractor, and you can draw an angle of a specified degree. Can you draw 30 with a triangular ruler? ,45? ,60? ,90? Horn.

2. Explore and master the area formulas of triangle, parallelogram and trapezoid to solve simple practical problems.

3. Know the area unit: square kilometers, hectares.

4. Understand that the ratio of the circumference to the diameter of a circle is a fixed value through operation, and master the circumference formula of a circle; Explore and master the formula of circular area to solve simple practical problems.

5. The area of irregular figure will be estimated by grid paper.

6. Understand the meaning of volume (including volume) and its units of measurement (cubic meter, decimeter 3, centimeter 3, liter and milliliter) through examples, and convert the units to feel the practical significance of 1 cubic meter, 1 cm3, 1 liter and 1 milliliter.

7. Explore and master the calculation methods of cuboid, cube, cylinder's volume and surface area, and cone's volume, and solve simple practical problems.

8. Experience the method of measuring the volume of some physical objects (such as potatoes).

(C) the movement of graphics

1. Through observation, operation and other activities, further understand the axisymmetric figure and its axis of symmetry, and draw the axis of symmetry of the axisymmetric figure on grid paper; Can complete simple axisymmetric graphics on grid paper.

2. Through observation, operation, etc. We can understand the translation and rotation of graphics on grid paper, and we can translate simple graphics horizontally or vertically on grid paper and rotate simple graphics by 90? (See Example 36).

3. You can use grid paper to enlarge or reduce simple graphics according to a certain proportion.

4. Be able to appreciate the patterns in life from the perspectives of translation, rotation and axial symmetry, and use them to design simple patterns on square paper.

(4) graphics and location

1. Understand the scale; Under certain circumstances, the distance on the map will be converted into the actual distance according to the given ratio.

2. The position of the object can be determined according to its direction and distance from the reference point.

3. You can describe a simple road map.

4. In specific cases, you can use number pairs (limited to positive integers) to indicate the position on the grid paper, and know the corresponding relationship between the number pairs and the points on the grid paper (see Example 38).

Three. Statistics and probability

(A simple statistical process of data

1. Go through a simple process of collecting, sorting, describing and analyzing data (you can use a calculator).

2. I will design a simple questionnaire according to practical problems, and I can choose appropriate methods (such as investigation, experiment and measurement) to collect data.

3. Understand the bar chart, fan chart and line chart; Data can be visually and effectively represented by histogram and line chart (see Example 39).

4. Understand the function of the average, be able to calculate the average and explain its practical significance in your own language.

5. Consciously get some data information from newspapers, magazines, television and other media, and read simple statistical charts.

6. Be able to interpret statistical results, make simple judgments and predictions based on the results, and communicate.

(2) The possibility of random phenomena.

1. Understand simple random phenomena in combination with specific situations; Can list all possible results in simple random phenomena.

2. Through experiments, games and other activities, feel the possibility of random phenomena, qualitatively describe the possibility of some simple random phenomena, and communicate with each other (see Example 42).

Fourthly, synthesis and practice.

1. Experience purposeful, designed, step-by-step and cooperative practical activities.

2. Experience the process of finding problems, asking questions, analyzing and solving problems in combination with the actual situation.

3. Under the given goal, feel the process of putting forward design ideas and making simple solutions for specific problems.

4. Through application and reflection, we can further understand the knowledge and methods used, understand the relationship between the learned knowledge, and gain experience in mathematical activities.

The above is a must-see for the interview of teaching resources: primary school mathematics 1-6 grade curriculum standards related content sharing. I hope it will help the candidates who want to apply for the teacher qualification certificate. If you want to know more about the teacher qualification examination, please pay attention to this platform in time!