(A) the meaning of numbers

(1) Understand the meanings of integers, decimals, fractions, percentages, positive numbers and negative numbers, and write numbers and readings as required.

(2) You can compare the sizes of numbers and arrange several different kinds of numbers as needed.

(3) Numbers can be rewritten according to the counting unit; A rounding method will be used to approximate a number.

(4) Understand the relations and differences among decimals, fractions and percentages, and realize the mutual transformation among decimals, fractions and percentages.

(5) To understand the nature of decimals, we will use the nature of decimals and the law of decimal size change caused by decimal position movement to answer related questions.

(6) Knowing the meanings of factors, multiples, prime numbers, composite numbers, odd numbers, even numbers and prime numbers, and knowing the characteristics of numbers divisible by 2, 5 and 3, we will find the greatest common factor and the smallest common multiple of two numbers.

(7) Understand the basic nature of fractions, master the relationship between fractions and division, and know division and division.

(2) Calculation of numbers

(1) Understand the meaning of the four operations, master the calculation rules of the four operations, and be able to orally calculate, estimate and write.

(2) Master the relationship between the parts of addition, subtraction, multiplication and division, and use this relationship flexibly for checking calculation.

(3) Master the operation steps and methods of elementary arithmetic, and use parentheses and square brackets to calculate the mixed operation of two or three steps.

(4) Master the algorithms and properties, and be able to use them flexibly for simple calculations.

(5) Mastering the steps and methods of solving integer, decimal and fraction (percentage) application problems will solve practical problems.

(3) Ratio and proportion

(1) Understand the meaning and basic properties of ratio, write the ratio of two numbers (quantities), find the ratio, and simplify the ratio.

(2) Master the relationship among ratio, division and score, and convert them to each other.

(3) If you know what scale is, you will allocate it in proportion, and you will answer the application questions about scale and proportional distribution.

(4) Understand the meaning of ratio and master the basic nature of ratio, and you will simplify ratio and seek ratio.

(5) Mastering the judgment method of positive and negative proportion can judge the disproportion and proportionality of two quantities.

Algebraic knowledge

(1) will use a formula containing letters to express the general quantitative relationship.

(2) Numbers will be used instead of letters, and then the value of the formula will be found.

(3) Clear the relationship between equation and equation, and you can solve simple equation and test the solution of equation.

(4) Will use letters to represent the required numbers, and will list the equations to solve the application problems of reverse thinking.

Second, space and graphics.

(1) Know the relationship between straight lines, rays and line segments; Knowing all kinds of angles, we will measure them.

(2) Can draw: ① Angle; ② line segment; ③ Vertical lines and parallel lines; ④ The height of triangle, parallelogram and trapezoid.

(3) Grasp the basic characteristics of plane figures (rectangle, square, parallelogram, triangle, trapezoid, circle), and know the derivation of perimeter and area formulas, so that the perimeter and area can be calculated. If the formula is deformed (for example, a=s÷b or b=s÷a can be derived from the area calculation formula of rectangle), the area of combined figures can be calculated.

(4) Mastering the basic characteristics of three-dimensional figures (cuboid, cube, cylinder and cone), knowing the derivation of formulas of surface area, lateral area and volume, we can find out the surface area, lateral area, volume and volume.

(5) Know the length, area (plot), volume (volume), mass (weight), time, RMB unit and advance speed, and rewrite the same name.

(6) If you know what an axisymmetric figure is, you will draw all the symmetry axes of an axisymmetric figure. You can translate, rotate, enlarge and reduce the graph as needed.

(7) to be able to determine the position of a thing (including direction, distance, etc. ) on the coordinate axis.

Three. Statistics and probability

(1) will collect and sort out data, supplement statistics and charts, find out relevant data from charts, and solve problems through calculation; Will propose and solve mathematical problems according to the data in the chart; You can see the mathematical information contained in statistical charts and tables.

(2) Understand the meaning of average, median and mode, and we will find the average, median and mode of a set of data.

(3) Be able to determine the possibility and size of the event.