The number and calculation of sixth grade mathematics test sites
The multiplication and division method of (1) fraction extends the meaning of fractional multiplication and fractional multiplication and the arithmetic of multiplication to the meaning of fractional, reciprocal, fractional division and fractional division.
② Elementary arithmetic, elementary arithmetic.
(3) Percentage, the meaning and writing of percentage, and the relationship between percentage and fraction and decimal.
Ratio and proportion
The meaning and nature of ratio, the meaning and basic nature of ratio, the solution of ratio, the quantity in direct proportion, and the quantity in inverse proportion.
A rudimentary knowledge of geometry
Understanding of circle, pi, drawing circle, circumference and area of circle, fan-shape, axisymmetric figure, cylinder, surface area and volume of cylinder, cone, volume of cone, and radius and diameter of sphere.
The method of finding the reciprocal ① Find the reciprocal of a fraction: exchange the positions of numerator and denominator.
② Find the reciprocal of an integer: 1 of an integer.
③ Find the reciprocal of the score: first turn it into a false score, and then find the reciprocal.
(4) Find the reciprocal of the decimal: first find the number of components, and then find the reciprocal.
Skills of solving problems in proportion: a. Convert the proportion into component numbers and solve them by fractional method, that is, first find out the total score, then find out how many parts account for the total, and finally find out how many parts according to the problem-solving method of finding how many parts of a number.
B take the ratio as the score, first calculate the total score of each part, then use "total number of copies = average amount of each part (normalization)", and then use "number of copies corresponding to the amount of each part" to calculate the amount of each part.
C. solving with proportional knowledge: first set the unknown quantity as. Then, according to the problem that "the known ratio is equal to the ratio of the corresponding quantity", the proportional formula containing X is listed as an equivalent relationship, and then X is calculated by the solution ratio.
Steps to solve application problems with positive and negative proportion knowledge
Tip: (1) Analyze the quantitative relationship. Judge what proportion. (2) Find the equivalence relation. If it is proportional, find the equivalence relation according to the equivalence ratio; If it is inversely proportional, find the equivalence relation according to the equal product. (3) Solution formula. Let the unknown quantity be x, and substitute it into the equivalence relation to get the positive or inverse proportional formula. (4) Dissolution ratio. (5) Test and write the answer.
Knowledge system 1. Separability:
The characteristics and nature of the divisibility of (1) numbers (the content of the sixth grade examination in primary school)
(2) the application of the bit value principle (using letters and numbers to represent multiple numbers)
Second, the prime number composite number:
(1) Concepts and Judgments of Prime Numbers and Composite Numbers (II) Decomposition of Prime Factors (Emphasis)
Third, the divisor multiple:
(1) greatest common divisor least common multiple (2) Decision rules for divisor (common test content for sixth grade primary school)
Fourth, the remainder problem:
1, understanding and application of formula with remainder;
2. The nature and application of congruence;
3. The parity problem of China's remainder theorem;
(1) parity and four operations;
4, the application of parity in the actual problem solving process complete square number:
Judgement and Properties of (1) Complete Square Number
(2) The application of complete square number, the decomposition and splitting of integer and fraction (emphasis and difficulty)