Read the knowledge points of mathematics in the first volume of the fourth grade of People's Education Edition
First, the basic knowledge:
1, one hundred thousand is one million, 10 is one million, 10 is one hundred million.
2. One (a), one hundred, one 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 unit, ten, hundred and thousand, and how many "ones" each level represents;
The 10,000 level includes 10,000, 100,000, 1 million and 10 million, and how many "tens of thousands" does the 10,000 level represent;
Billion includes one billion, one billion, one billion, one billion, and one billion represents one billion.
4, decimal counting method:
The forward speed 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 grade this number by four digits first.
(2), reading from a height, reading step by step;
(3) When reading 100 million or 10,000 levels, first read in 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, all of which are read-only; Do not read the zeros at the end of each level.
6, multi-digit writing rules:
(1) classification number
(2) Write it down step by step from high to low.
(3) If there is no number on any number, write 0 on any number.
(4) After writing, read the numbers again to check whether they are correct.
7, more than ten thousand size comparison method:
Different digits: the more digits, the larger the number.
When the digits are the same: first compare the first digit from the left, and the digit with the largest number is the largest; If the first number from the left is the same, compare the second number from the left, and so on.
Compare the size of numbers with nursery rhymes.
Compare two numbers, first look at the number of digits.
More digits, less digits.
When the number of digits is the same, look at the high position.
High position is big, high position is small.
When the high positions are the same, look down in turn.
8. Find the approximate figure by rounding.
(1) How to rewrite a number above 10,000 into a number below 10,000;
It is not difficult to rewrite it as "10 thousand", and it is very simple to count four digits on the right.
If all four digits are zero, remove them all and add 10 thousand.
No one is 0. Compare thousands with 5.
If the thousand digits are less than 5, decrease by 4 and add a "ten thousand".
Thousands are greater than or equal to 5, and they are deleted again and again.
Don't be reluctant to use "=", but use "≈".
(2) Rounding method: When approximating numbers, if the number of digits of the omitted mantissa is 4 or less, the mantissa is removed. If the number of digits of the omitted mantissa is 5 or more, the mantissa will be truncated and "1" will be entered before it. Whether it is "truncated" or "input" depends on whether the number of digits of the omitted mantissa is less than 5 or equal to or greater than 5. This method of finding approximate value is called rounding.
Summary of statistical knowledge points in the first volume of mathematics in the fourth grade of primary school
Planting garlic seedlings (1) (bar chart)
Knowledge points:
1 and 1 in the statistical chart represent different units, so it is necessary to judge how many units 1 represents according to the specific situation. The amount of data is large, and each 1 grid represents more units, while the amount of data is small, and each 1 grid represents fewer units.
2. Understand the meaning of the data on the bar chart.
3. Make clear the characteristics of the bar graph: intuitive, convenient and easy to check.
4. Bar chart making method: 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 composite bar chart, get information from it and answer the corresponding questions.
Planting garlic seedlings (2) (broken line statistical chart)
Knowledge points:
1, broken-line statistical chart: you can get the information of data changes and make simple predictions.
2. The method of broken-line statistical chart: on the grid paper, mark the points according to the given data, and then connect the points with lines in order.
3. Be able to see the information provided by the dotted statistical chart and answer related questions.
Supplementary knowledge points:
1. The difference between a bar chart and a line chart: a bar chart indicates the quantity with a straight line, and a line chart indicates the change of quantity with a broken line.
2. Have a preliminary understanding of the statistical chart of compound broken lines, from which we 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 multiplication and division, statistics and decimals, but multiplication and division in operation laws are easily confused, which is not just an individual phenomenon, and 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 difficult point in the review process.
Second, student analysis:
The students in the two classes show serious polarization in the degree of knowledge acceptance, and the problems in the math exam also illustrate this point. 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 the teacher uses proper methods in the review stage, students should still make some progress.
Third, review objectives:
(1), further consolidate the knowledge of four operations, algorithms and simple calculations, the meaning and nature of decimals, addition and subtraction of decimals, position and direction, triangles, statistics, etc. , deepen the understanding of this knowledge and improve the level of mastering this knowledge.
(2) further master the order, addition law and multiplication law of elementary arithmetic, correctly calculate the mixed operation within three steps, and use the operation law to make simple calculations; 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 divisor of a decimal; Further master decimal addition and subtraction and mixed addition and subtraction, 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 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, algorithm, simple calculation.
(2) The meaning and nature of decimals, addition and subtraction of decimals.
2. Difficulties:
(1), triangle.
(2) Flexible use of knowledge to solve simple practical problems.
Verb (abbreviation for verb) review content:
The main contents of this semester's review include the following seven aspects: (1) using letters to represent numbers; Multiplication algorithm; Understanding of angles and triangles; The meaning and nature of decimals; Observing objects; Addition and subtraction of decimals; Seven units, such as statistics, prompt students with questions or exercises, which is a feature of teaching arrangement. This arrangement not only conforms to the age characteristics and learning level of students, but also helps teachers to organically combine collation and review in teaching and promote the integration of the two.
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