Four years, the first book, the understanding of large numbers (reading, writing, comparing numbers; Used to rewrite the whole hundred million and ten thousand numbers into numbers in hundred million or ten thousand units; Find the approximate number by rounding; Generation, natural number, decimal counting method; Understand the use of calculation tools and electronic calculators. ) How big is ● 1 100 million?
Second, angle measurement (straight line, ray, degree, measuring angle, right angle and fillet, drawing angle).
Three, three digits multiplied by two digits (one digit multiplied by two digits (the product is within 100) or hundreds or dozens of numbers; Representation of speed; The relationship between time, speed and distance; The law of product change, multiplication estimation)
Four, parallelogram and trapezoid (vertical and parallel, parallelogram and trapezoid)
Five, the divisor is the division of two digits (integer ten divided by integer ten, hundreds of dozens of numbers (quotient one); Two digits or three digits divided by two digits; The changing law of quotient; Division estimation)
Six, statistics (vertical composite bar chart, horizontal composite bar chart; Have you ever sent a greeting card?
Seven, mathematics wide angle (the application of operational research and game theory in solving problems-reasonable arrangement of time; ) 8. General comments
Four-year volume one and four operations (four operations in three steps, four operations in brackets in three steps; Corresponding practical problems; Calculation summary about 0)
Second, the position and direction (according to the direction and distance to determine the position of the object; Describe a simple road map. )
Third, the algorithm and simple calculation (additive commutative law, the law of association; Multiplicative commutative law, associative law and distributive law; Simple calculation by using the algorithm; Simple calculation of continuous reduction and continuous Divison; Problems that need to be simplified after variants, such as12× 25; Only some questions can be simplified, such as 3 1×2+30×2+26. ) ● Nutritional lunch
Fourth, the meaning and nature of decimals (meaning, counting unit, reading and writing methods, and the comparative size of decimals; The nature of decimal; The law of decimal size change caused by decimal position movement; Mutual rewriting of decimal and decimal composite numbers; Find the approximate number of decimals by "rounding method"; Rewrite larger numbers into decimals in units of 10 thousand or 100 million. )
Verb (abbreviation of verb) triangle (the sum of any two sides of a triangle is greater than the third side; The sum of the internal angles of the triangle is 180 degrees; Classification of triangles; The combination of graphics. )
Six, decimal addition and subtraction (decimal addition and subtraction; Decimal addition and subtraction mixed operation; This paper extends integer addition and subtraction to decimal addition and subtraction. Seven, statistics (single broken line statistics; Make reasonable guesses based on data changes. ) Eight, mathematics wide angle (tree planting problem) ● Small housekeeper Nine, total review
Five-year Volume I. Decimal Multiplication (Decimal Multiplication; The law of integer multiplication is extended to decimal multiplication. )
Second, fractional division (fractional division; The mantissa method and the one-in-one method take approximate values; Cyclic decimal; Explore the law with a calculator. )
Third, observe the object (identify the shape and relative position of the object seen from different directions)
Fourth, simple equations (letters represent numbers, formulas and algorithms; The nature of the equation; Equation, solving equation; Column equations solve simple problems. ) ● Measure the law of discovery.
Five, polygon area (parallelogram, triangle and trapezoid area calculation; Calculation of the area of simple combined graph. )
6. Statistics and possibility (equal possibility events and fairness of the rules of the game; Possibility of finding simple events; Median and its solution; According to the actual situation, choose appropriate statistics to describe the characteristics of the data. ) ● Shop one shop seven, mathematics wide angle (digital coding) eight, general review
? Five-year volume one, graphic transformation? (the characteristics and properties of axisymmetric graphics, draw a graphic axisymmetric graphics on grid paper; The characteristics and properties of graphic rotation can rotate simple graphics 90 degrees on square paper; Using symmetry, translation and rotation methods to design patterns on grid paper. )
Second, factors and multiples? (factor, multiple, prime number, composite number; Characteristics of multiples of 2, 5 and 3; )
3. Cuboid and cube? (The characteristics of cuboids and cubes; Volume (volume) and unit of volume; Calculation of surface area of cuboid and cube: calculation of cuboid and cube volume; The main body of an irregular object. )? ● Paint the fence.
Fourth, the meaning and nature of the score? (the generation and significance of scores; The relationship between fraction and division; True points and false points; The basic nature of the score; The relative size of the score; Common factor and maximum common factor, common multiple and minimum common multiple; Simplified points and general points; Conversion between fractions and decimals. )
5. Addition and subtraction of scores? (Fractional addition and subtraction; The law of integer addition and subtraction is extended to decimal addition and subtraction. )
Sixth, statistics? (The meaning and solution of the mode; According to the specific situation of the data, choose appropriate statistics to represent the different characteristics of the data; Composite broken line statistical chart; According to the need, select a bar or broken line statistical chart to represent the data; Simple analysis and prediction of data. )? ● Make a phone call.
Seven, mathematics wide angle? (Mathematical thinking method of infiltration optimization) VIII. General comments
The first volume of six years. 1. Location? (Number pairs are used to indicate the position of an object in a specific situation; Determine the position of the object with several pairs on the grid paper. Second, decimal multiplication? (fractional multiplication; The law of integer multiplication is extended to fractional multiplication; What is the practical problem of finding the score of a number? Countdown. )
Third, fractional division? (fractional division; Find the practical problem of a number by knowing part of it; The meaning of ratio, the relationship between ratio and fraction and division, the basic nature of ratio, simplifying ratio and seeking ratio; Use the knowledge of ratio to solve related practical problems. )
Fourth, round? (the characteristics of a circle; Draw a circle; pi； Calculate the circumference and area of a circle. )? ● Determine the starting line
Verb (abbreviation of verb) percentage (meaning of percentage, reading and writing method; Conversion between decimals, fractions and percentages; The meaning and simple calculation of discount, tax payment and interest; About the percentage. )
Sixth, statistics (fan map)? ● Reasonable deposit 7. Mathematical wide angle (chicken and rabbit in the same cage) VIII. Six-year review, volume 2. Negative number? (Cognition and comparative size of negative numbers; The application of negative numbers in daily life and mathematics)
2. Cylinders and cones? (Understanding of cylinder and cone, surface area of cylinder, volume of cylinder, volume of cone)
Third, the proportion? (The meaning of proportion, the basic nature of proportion, solution ratio; Positive and negative scale images; Magnification and reduction of scale and graphics; Solve problems in proportion; ) ● Mathematics in Bicycle
Four, statistics (scientific selection and use of statistical charts)
Fifth, mathematics wide angle? (pigeon hole principle)? ● Save water.
Sixth, organize the review? 1, number and algebra? 2. Space and graphics? 3. Statistics and probability? 4. Comprehensive application