Reading knowledge points of mathematics over ten thousand in the first volume of the fourth grade of People's Education Press
First, the basic knowledge:
1, one hundred thousand is one million, 10 is ten million, 10 is ten million.
2, a (a), one hundred, thousand, ten thousand, one hundred thousand, one million ... are all counting units.
3. Digital grading method: starting from one digit, every four digits are one level.
Each level includes units, tens, hundreds and thousands, and how many "ones" each level represents;
Ten thousand levels include ten thousand, one hundred thousand, one million and ten million, and how many "tens of thousands" are represented by ten thousand levels;
Billions include billions, billions, billions, and billions, and billions represent billions.
4, decimal counting method:
The rate of advance between two counting units is ten, and this counting method is called decimal counting method.
5, the law of reading:
(1), when reading, let's first grade this number by four digits.
(2), from the high reading, reading level by level;
(3) When reading 100-million or 10,000-million levels, first read by a series, and then add a word "100 million" or "10,000" at the back.
(4) There is a zero or several zeros in the middle of each level, and all of them are read only one zero; The zero at the end of each level is not read.
6, multi-digit writing rules:
(1) Grading numbers
(2) from high to low, write down level by level.
(3) If there is no number on any digit, write 0 on any digit.
(4) Read the number written again after writing to check whether it is correct.
7, more than ten thousand size comparison method:
Different digits: the more digits, the greater the number.
When the digits are the same: first compare the first digit from the left, and the digit with the largest number will be the largest; if the first digit from the left is the same, then compare the second digit from the left, and so on.
Compare the size of numbers with nursery rhymes.
Compare two numbers, look at the number of digits first.
The number of digits is large, and the number of digits is small.
When the number of digits is the same, look at the high position.
The high position is big, and the high position is small.
When the high position is the same, look down in turn.
8. Find the approximate number by rounding.
(1) The method of rewriting the number above ten thousand into the number in ten thousand:
It is not difficult to rewrite it as "ten thousand", and it is very simple to count four digits on the right.
If all four digits are zeros, remove them all and add ten thousand.
Any bit is not 0, and thousands are compared with 5.
If the number of thousands is less than 5, drop four and add a "ten thousand".
Thousands are greater than or equal to 5, and they are removed again and again.
Don't be reluctant to use "=" and use "≈" for rounding.
(2) Rounding method: When approximating numbers, if the digits of the omitted mantissa are 4 or less, the mantissa is removed. If the number of digits of the omitted mantissa is 5 or more, the mantissa will be rounded off and entered "1" before it. Whether it is "rounded off" or "entered" depends on whether the digits of the omitted mantissa are less than 5 or equal to or greater than 5. This method of finding approximate numbers is called rounding.
Summary of Knowledge Points of Statistics in the First Volume of Mathematics in Grade Four of Primary School
Planting garlic seedlings (1) (bar chart)
Knowledge points:
1 and 1 in the statistical diagram indicate different units, and it should be judged according to the specific situation that 1 represents several units. When the data is large, there are more units per 1 grid, and when the data is small, the units per 1 grid are small.
2. Understand the meaning of the data on the bar chart.
3. Make clear the characteristics of the bar chart: intuitive, convenient and easy to check.
4. The method of making a bar chart: determine the horizontal direction and mark the items; Determine the number represented by the vertical direction (the number represented by one grid); Draw straight lines with different lengths according to the size of the data; Write the title.
Supplementary knowledge points: get a preliminary understanding of the compound bar chart, get information from it and answer corresponding questions.
Planting garlic seedlings (2) (broken line statistical chart)
Knowledge points:
1, the characteristics of broken-line statistical chart: it can obtain the information of data changes and make simple predictions.
2. Method of statistical graph of broken lines: In the grid paper, mark the points according to the given data, and then connect the points with lines, which should be connected in sequence.
3. Be able to see the information provided by the broken line statistical chart and answer related questions.
Supplementary knowledge points:
1, the difference between a bar chart and a broken line chart: a bar chart shows the quantity with straight lines, while a broken line chart shows the change of quantity with broken lines.
2. Have a preliminary understanding of the statistical chart of compound broken lines, from which you can get the corresponding information and answer the questions raised.
Final review plan of the second volume of fourth grade mathematics
First, analysis of students' mastery of knowledge:
In this book, students have a good grasp of the meaning and nature of the four operations and operation laws, except the law of multiplication and distribution, statistics and decimals, but the law of multiplication and distribution and the law of association in the operation laws are easily confused, which is not just an individual phenomenon, which should be treated emphatically in the following review; The content of triangle is not solid enough, especially for a small number of students who have not really mastered the mixed operation in decimal problems. This should be broken through as a difficulty in the review process.
Second, student analysis:
The students in the two classes show a serious polarization in the acceptance of knowledge, which is also illustrated by the problems in the math exam. The students' foundation is not good, and most students in the class are passive and lack flexibility. However, students' thoughts are still good, and thoughts determine actions. As long as teachers use proper methods in the review stage, students should still make some progress.
Third, review objectives:
(1), further consolidate the knowledge of four operations, operation laws and simple calculations, the meaning and nature of decimals, addition and subtraction of decimals, position and direction, triangles, statistics, etc., deepen the understanding of these knowledge and improve the mastery level of these knowledge.
(2) To further master elementary arithmetic's order, law of addition and law of multiplication, to correctly calculate the mixed operation within three steps, and to use the law of operation for simple calculation; Further improve the ability of applying mathematical knowledge and methods to solve practical problems.
(3) Further understand the characteristics of triangles, further clarify the relationship between three sides and three angles of triangles, better grasp the classification of triangles, and deepen the understanding of the characteristics of isosceles triangles and equilateral triangles.
(4) Further understand the meaning and nature of decimals, compare the sizes of decimals, and further understand the changing law of decimal sizes caused by decimal point movement; Further master the method of finding the approximate number of a decimal; Further master decimal addition and subtraction and mixed addition and subtraction operations, and can use decimal addition and subtraction to solve practical problems in daily life.
(5) Further feel the characteristics and functions of the broken line statistical chart; Be able to read the broken line statistical chart and obtain the necessary information from the broken line statistical chart;
(6) Let students go through the process of reviewing and sorting out what they have learned, and deepen their understanding of what they have learned through necessary exercises and exchange activities.
(7) Go through the process of sorting and reviewing what you have learned, and learn the methods of sorting and reviewing; Initially perceive the necessity of sorting out and reviewing, and gradually develop the consciousness of consciously sorting out what you have learned and good study habits.
(8) In the review process, further reflect on the learning situation of this textbook, experience the fun of communicating with classmates and learning successfully, further understand the memory connection of mathematics knowledge and methods, feel the significance and value of mathematics, develop positive feelings about mathematics, and enhance self-confidence in learning mathematics well.
Fourth, review the key points and difficulties:
1, key points:
(1), four operations, operation law and simple calculation.
(2) The meaning and nature of decimals, addition and subtraction of decimals.
2. Difficulties:
(1), triangle.
(2) Apply what you have learned flexibly to solve simple practical problems.
V. Review content:
The main contents of this semester's review include the following seven aspects: (1) using letters to represent numbers; Multiplication operation law; Understanding of angle and triangle; The meaning and nature of decimals; Observing objects; Addition and subtraction of decimals; Seven units, such as statistics, use questions or exercises as tips to guide students to sort out, which is a feature of teaching arrangement. This arrangement not only conforms to students' age characteristics and learning level, but also helps teachers to organically combine sorting and review in teaching and promote the integration of the two.
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