Knowledge points in the fourth grade of primary school mathematics
Exploration and Discovery (3) (Law of Multiplication and Distribution)
Knowledge points:
1, multiplication and distribution law: the sum (or difference) of two numbers is multiplied by a number, and two addends (or minuend and minuend) can be multiplied by this number respectively. After adding (or subtracting) two products, the result remains the same. Use letters to represent numbers: (a+b)×c=a×c+b×c or (a-b) × c = a× c-b× c.
Supplementary knowledge points:
1, characteristics of the formula: the original symbols of the formula generally adopt the forms of ×,+(-) and ×; There are the same factors in the two multiplication formulas; The other is that the sum (or difference) of two different factors can basically add up to a whole number of ten, one hundred and one thousand.
2. 102×88 and 99× 15 are characterized by multiplying two numbers, rewriting one of them as the sum (or difference) of integer ten, integer hundred, integer thousand and a number, and then applying the laws of multiplication and distribution to make the operation simple.
Summary: What the article arranges and shares for you is the knowledge point of fourth grade mathematics: multiplication and division. How's it going? How much do you know about the multiplication distribution law of knowledge points?
Fourth grade, the first volume of mathematics, reading more than 10 thousand knowledge points
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.
Mathematics review plan for the first volume of the fourth grade
First of all, review the guiding ideology:
1. Check for leaks and fill gaps. By reviewing and practicing the basic knowledge, students' memory is strengthened, their understanding is deepened, and what they have learned is internalized into knowledge literacy. Enable students to grasp and understand knowledge from perceptual knowledge to rational knowledge.
2. Solve problems flexibly and improve the ability of comprehensive application and solving practical problems. In the process of reviewing and practicing, students can classify and sort out knowledge, help students find out the relationship between knowledge and the law of solving problems, re-integrate and form a complete knowledge system. By analogy, I can comprehensively and flexibly use what I have learned to solve simple practical problems and have strong mathematical application ability.
3. In the process of reviewing and practicing, we should pay attention to cultivating students' learning methods, mathematical consciousness and mathematical thinking, and develop students' logical thinking ability.
4. Cultivate students' good study habits of doing problems and checking carefully, and form good mathematical sentiment.
Second, review content:
1, Numbers and Algebra
Unit 1, Understanding of Large Numbers
Unit 3, Three Numbers Multiply Two Numbers
Unit 5. The division of divisor is a two-digit number.
2. The second unit of graphic geometry, the fourth unit of angle measurement, parallelogram and trapezoid.
3. Statistics and Probability Unit 6, Statistics
4. Mathematical thinking method unit 7. Mathematical wide angle (reasonable arrangement)
Third, review objectives:
1. Have a further understanding of tens of thousands and hundreds of millions of numbers, decimal counting method, expressing large numbers in tens of thousands and hundreds of millions, divisor, rewriting and other knowledge, and establish a cognitive structure about the concept of integers;
2. Further consolidate the written division calculation with divisor of two digits, further improve the operation skills of calculating large numbers and exploring laws with calculators, and deepen the understanding of calculators;
3. Mastering the characteristics of straight lines, rays and line segments, and knowing the angle, we can draw parallel lines and vertical lines correctly (a point outside the straight line and a point on the straight line), and further develop the concept of space;
4. Through sorting and reviewing, students can further master the basic knowledge and methods of statistics, and make statistical charts and analysis results according to the given data.
5. By sorting out and reviewing, students can further improve their ability to solve practical problems by comprehensively applying what they have learned, and further realize the value of mathematics in the process of solving practical problems.
6. Through sorting and reviewing, let students experience the review of their learning situation this semester and the process of combing the knowledge and learning methods they have learned, so as to stimulate students' desire for active learning and further cultivate students' reflective consciousness and ability.
IV. Specific measures for review:
(1) Understanding of Large Numbers 1. Review the related knowledge of numbers, series, counting units and decimal counting methods by using the numerical sequence table, so that students can further master these basic concepts. 2. Review the reading rules, focusing on how to read numbers with zeros in the middle and at the end, and then complete the general review question 1. 3, review the writing methods, but also focus on how to write the numbers with 0 in the middle and at the end, and then complete the general review of the second question. 4. Review the method of rewriting large numbers into numbers in units of "10,000" or "100 million", and use the "rounding" method to find the approximate number to complete the general review questions 3 and 4.
(2) "multiplication and division method"
1, review the oral arithmetic of multiplication and division, and combine the relationship between factor and product, the changing law of quotient with oral arithmetic of multiplication and division, so that students can further understand oral arithmetic and use these laws flexibly to make oral arithmetic more correct and fast. Complete general review questions 5 and 8.
2. Review the written multiplication and division method. Let the students talk about the problems that should be paid attention to in the written multiplication and division, such as what should be paid attention to in the multiplication with 0 in the middle and at the end of the factor, and what is the principle of division, trial quotient and quotient adjustment. , and then complete the general review of questions 6 and 7.
3. Review how to solve simple practical problems by multiplication and division. Through review, students can understand the necessity of estimation in solving problems and realize the diversity of estimation strategies. Complete the general review questions 9 and 10.
(c) "Space and graphics"
1. Make proper systematic arrangement, so that students can clearly understand the concept of each graph, understand the connections and differences between graphs, and learn to describe the characteristics of various graphs in mathematical language.
2. Draw the relationship of various graphs with diagrams, so that students can see it more intuitively and clearly. Then complete the general review questions 1 1 and 12.
(4) "Statistics"
Review the connection and difference between composite bar chart and single bar chart, and the matters needing attention when drawing composite bar chart. Complete the general review questions 13.
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