The knowledge focus of grade one in junior high school
1 Numbers and calculation
Understanding and addition and subtraction of numbers within (1)20.
Count. The composition, order, size, pronunciation and writing of numbers. Addition and subtraction. Addition and subtraction and addition and subtraction mixed questions
(2) Understanding the number within 100.
Addition and subtraction. Count. Unit, ten. The order, size, pronunciation and writing of numbers.
Two-digit addition and subtraction of ten digits and two-digit addition and subtraction of one digit. Addition and subtraction in two-step calculation.
2 Quantity and measurement
Understanding of the clock face (hourly time). Understanding and simple calculation of RMB.
3 Preliminary knowledge of geometry
Intuitive understanding of cuboid, cube, cylinder and sphere.
Intuitive understanding of rectangle, square, triangle and circle.
Four application problems
Simple one-step addition and subtraction. Fewer and fewer application problems (ability to grasp effective information)
5 Practical activities
Choose content that is closely related to life. For example, according to the number of boys and girls in this class, the distribution of each group, what math problems come to mind.
The knowledge focus of the second grade
1 Numbers and calculation
(1) Two digits plus or minus two digits. Add and subtract two digits from two digits. Vertical addition and subtraction. Addition and subtraction in two-step calculation.
(2) Table multiplication and table division. A preliminary understanding of multiplication. Multiplication formula. Vertical multiplication. A preliminary understanding of division. Find the quotient by multiplication formula. Vertical division. Division with remainder. Formula for two-step calculation.
(3) How to read and write numbers within 10,000. Count. Hundreds, thousands, tens of thousands. Comparison of reading, writing and size of numbers.
(4) addition and subtraction. Addition and subtraction. Continuous addition and addition check, subtraction and addition check.
(5) Mixed operation. Multiply first, then divide, then add and subtract. Two-step calculation problem. parentheses
2 Quantity and measurement
Understanding of hours, minutes and seconds.
Understanding and simple calculation of meter, decimeter and centimeter.
Understanding of kilograms (kilograms).
3 Preliminary knowledge of geometry
A preliminary understanding of straight lines and line segments. A preliminary understanding of horn. Right angle.
Four application problems
Application of one-step operation of addition and subtraction. Application of one-step operation of multiplication and division. An easy-to-use problem in two-step calculation.
5 Practical activities
Content closely related to life. For example, what kind of mathematical problems do you think of when you investigate the expenditures of various consumer items this week?
Key points of junior high school knowledge
1 Numbers and calculation
(1) One-digit multiplication and division.
A multiplier is a multiplication of one digit (the other multiplier generally does not exceed three digits). Multiplication of 0. Multiply. A divisor is the division of a single digit. 0 divided by a number. Check multiplication and division. Even division.
(2) Multiplication and division of two digits.
A multiplier is a multiplication of two digits (the other multiplier is generally no more than three digits). Simple algorithm with zero at the end of multiplier. Multiplication check calculation. A divider is the division of two digits. Simple multiplication and division algorithm.
(3) Elementary arithmetic.
Formula for two-step calculation. The use of parentheses.
(4) A preliminary understanding of music score.
Preliminary understanding, reading and writing of scores. Look at the picture and compare the scores. Simple addition and subtraction of fractions with the same denominator.
2 Quantity and measurement
Understanding and simple calculation of kilometers (kilometers) and millimeters. Understanding and simple calculation of tons and grams.
3 Preliminary knowledge of geometry
The characteristics of rectangles and squares. Perimeter of rectangle and square. Intuitive understanding of parallelogram. The meaning of perimeter. The perimeter of a rectangle or square.
4 common quantitative relations of application problems.
Solve the application problem of two-step calculation.
5 Practical activities
Organize activities related to things around you. For example, record the weather in 10 days, sort it out and analyze it briefly.
Focus of knowledge in the fourth grade
1 Numbers and calculation
How to read and write numbers within (1) billion?
Counting units are "one hundred thousand", "one million" and "ten million". Decimal relationship between adjacent counting units. Reading and writing. Comparison of the size of numbers. About the number of tens of thousands.
(2) addition and subtraction.
Addition and subtraction.
Simple addition and subtraction algorithm close to integer ten and integer hundred.
The relationship between the parts in the addition and subtraction formula. Find the unknown number X.
(3) Multiplication and division is a three-digit multiplication and division method.
Multiplier is the multiplication of three digits. Changes in products. The divisor is the division of three digits. Invariance of quotient. Simple algorithm of adding 0 at the end of dividend and divisor.
Simple estimation of multiplication and division.
A simple algorithm of multiplier approaching integer ten or integer hundred.
The relationship between the parts in the multiplication and division formula. Find the unknown number X.
(4) Elementary arithmetic.
Brackets. Formula problem of three-step calculation.
(5) Integer and its four operations' relations and operation rules.
Natural numbers and integers. Decimal symbol. Reading and writing.
The significance of four operations. The relationship between addition, subtraction, multiplication and division. Divisibility and division with remainder.
Operating rules. Simple operation.
(6) The meaning, nature, addition and subtraction of decimals.
The meaning and essence of decimals. Comparison of decimal sizes. Decimal shift causes the change of decimal size. Approximate addition and subtraction of decimals. The law of addition is extended to decimals.
2 Quantity and measurement
Year, month and day. Flat year and leap year. Century. 24-hour timing method.
Measurement of angle.
Area unit.
3 Preliminary knowledge of geometry
Determination of straight line. Measure the distance (tool measurement, step measurement, visual inspection).
Ray. Right angle, acute angle, obtuse angle, right angle, _ fillet. Vertical line Draw a vertical line. Parallel lines. Draw parallel lines.
The characteristics of a triangle.
The sum of the internal angles of a triangle.
4 the preliminary knowledge of statistics
Simple data collation. A preliminary understanding of simple statistical charts. The meaning of the average. Find a simple average.
5. Comprehensive formula of application questions
Solve the easy application problem of three-step calculation.
Focus of knowledge in grade five
1 calculation
Fractional multiplication, fractional division, simple equation, observation object, polygon area, statistics and possibility, wide angle of mathematics, comprehensive application of mathematics, etc.
On the basis of learning four integer operations and decimal addition and subtraction operations, continue to cultivate students' four decimal operations.
2 equation
Use letters to represent numbers, the properties of equations, solve simple equations, and use equations to represent equivalence relations to solve simple practical problems. To further develop students' abstract thinking ability and improve their problem-solving ability.
3 Space and objects
In terms of space and graphics, this textbook arranges two units to observe the area of objects and polygons. On the basis of existing knowledge and experience, through rich mathematical practice activities, students can gain the experience of inquiry learning and identify the shapes and relative positions of objects seen from different directions.
4 graphic conversion
Explore and understand the characteristics of various graphics, the relationship between graphics and the transformation between graphics, master the area formulas of parallelogram, triangle and trapezoid and the relationship between formulas, infiltrate the mathematical thinking method of translation, rotation and transformation, and promote the further development of students' space concept.
5 statistics and probability
This textbook allows students to learn possibilities and medians. Through operation and experiment, let students experience the equal possibility of events and the fairness of game rules, and learn to discover the possibility of certain events.
6 average value
Understand the statistical significance, characteristics and application scope of average and median respectively; Further understand the role of statistics and probability in real life.
7 practical application
Through observation, guessing, experiment, reasoning and other activities, students are infiltrated with the preliminary mathematical thinking method of digital coding, and it is realized that the regular arrangement of numbers can make the information exchange between people safe, orderly and fast, bring convenience to people's life and work, and feel the charm of mathematics.
The knowledge focus of grade six
1 Numbers and calculation
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.
2 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.
3 Preliminary 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, radius and diameter of ball.
4 the preliminary knowledge of statistics
Statistical table, bar chart, line chart and fan chart.
Five application problems
Fraction 4 application questions (including engineering questions) and practical application of percentage (including calculating germination rate, qualified rate, interest rate, tax rate, etc. ), proportion and proportional distribution.
6 practical activities
Organize activities according to the social situation that students are exposed to, such as drawing a plan of the bedroom at home.
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