Knowledge points in the second volume of the first grade of primary school (mathematics)
Cognitive map
1. Graphics can be divided into (1) plane graphics and (2) three-dimensional graphics.
1. Plane graphics: square, rectangle, triangle, circle, parallelogram.
2, three-dimensional graphics: cuboid, cube, cylinder, sphere.
Second, the combination of graphics.
1, two identical triangles can be combined into a parallelogram; Two identical triangles can be combined into a parallelogram, a rectangle or a large triangle.
2. It takes at least 4 small cubes to form a big cube, and at least 8 small cubes to form a big cube.
3. Two rectangles can form a big rectangle. (Two special rectangles can form a big square), and four cuboids can form a big cuboid.
Classification and arrangement
Classification method: according to the shape, it is generally (1); (2) by color; (3) according to the purpose; (4) by type.
At the same time of classification, I will go through the process of data collection, sorting, description and analysis. I will use simple methods to collect and sort out data, have a preliminary understanding of bar charts and statistical tables, and can ask and answer simple questions according to the data in statistical charts.
Understanding of Numbers within 100
1, from the right, the first digit is one, the second digit is ten, and the third digit is one hundred.
Reading and writing methods: both reading and writing should start from the high position.
2. Singular number: a natural number with the unit of 1, 3,5,7,9.
3. Even numbers: natural numbers with units of 0, 2, 4, 6 and 8 (except 0).
4. Integer: a natural number with the unit of 0 (except 0).
Five tens and five ones make fifty-five. (Five decimal places means five tens, and five decimal places means five ones. )
Reading: 55 (writing Chinese characters) Writing: 55 (writing mathematical characters)
6, 10 one is ten, 10 ten is one hundred. (One, ten and hundred are counting units. Write Chinese characters)
Composition of numbers: (Pay attention to different ways of asking questions)
Example: 68 consists of 6 tens and 8 ones; 68 consists of 8 1 and 6 10.
There are (6) tens and (8) ones, and (68) ones.
The decimal digit is 6, which means 6 tens (writing Chinese characters), and the unit digit is 8, which means 8 ones (writing Chinese characters).
7. The method of comparing the size of two digits: look at the ten digits first, and the bigger the number, the bigger it will be. If the ten digits are the same, if you look at one digit, it will be bigger. (The opening faces a large number and the tip faces a decimal number. )
8. When the difference between the two quantities is large, it can be described as "much more, much less"; When there is little difference between the two quantities, it can be described as "more, less".
9. The smallest three digits are100; The two digits of are 99; The smallest two digits are10; One digit of is 9; The smallest number is 1.
Pay attention to the question type:
The number of one digit is 7, and the number of ten digits is 3 less than that of one digit. This number is (). Remember to check the meaning of the question after writing.
Knowledge points of "understanding RMB" in senior one mathematics.
1. The units of RMB are (yuan), (angle) and (minute).
2. Conversion between RMB units:
1 yuan = 10 angle; 10 angle = 1 yuan; 1 angle = 10 point; 10 point = 1 angle; 10 angle = 100 point; 1 yuan = 100 integral.
3. Main problems:
Fill in the appropriate units. (Pay attention to the actual connection with life)
Calculation: yuan+yuan angle+angle exceeds 10, remember to change it to 1 yuan.
Meta-meta angle-The angle "angle" is not enough to be reduced to "meta" and then calculated by borrowing 1 meta as 10 angle.
4, problem solving: first draw the batch, find the correct data, and then calculate the formula.
The presentation form is "several yuan and several jiao+several yuan and several jiao", not decimal presentation.
5. Change money: 1 block. 10 yuan can get 5 pieces of 2 yuan.
1 block 100 yuan can be exchanged for 5 pieces of 20 yuan. 1, 100 yuan can be exchanged for 2 50 yuan.
1 50 yuan convertible 10 5 yuan.
6, 2.00 yuan =2 yuan; 0.50 yuan =5 cents; 59.90 yuan =59 yuan 9 jiao; 9.25 yuan = 2.5 points for 9 yuan.
Math learning methods in the first grade of primary school
1. To learn mathematics well, you must master three basic concepts: basic concepts, basic laws and basic methods.
2。 After completing the topic, we must sum up carefully and infer from each other. So that you won't spend too much time and energy when you encounter the same problem in the future.
3. The understanding of mathematical concepts must be comprehensive and not biased.
4. The ultimate goal of learning concepts is to solve specific problems with concepts. Therefore, we should actively use the mathematical concepts we have learned to analyze and solve related mathematical problems.
We should master all kinds of methods to solve problems, sum them up consciously in practice, and gradually cultivate appropriate analytical habits.
6, actively improve the comprehensive analysis ability, using text reading for analysis and understanding.
7. In learning, we should pay attention to consciously transfer knowledge and cultivate the ability to solve problems.
8. In order to form a systematic knowledge through what we have learned, we can use analogy.
9. The contents of each chapter are interrelated. The comparison between different chapters and the true integration of knowledge before and after will help us to understand the knowledge system and content more deeply.
10. By comparing similar concepts or laws, find out their similarities and differences and connections, so as to deepen their understanding and memory. Clear the relationship between mathematical knowledge, deeply understand the concept of mathematical knowledge, understand the derivative process of mathematical knowledge, and make knowledge orderly and systematic.
1 1。 Learning mathematics should not only pay attention to problems, but also pay attention to typical problems.
12。 For some mathematical principles and theorems, we should not only remember their conclusions, but also understand them.
13. Learn mathematics, remember and correctly describe concepts and laws.
14. In the process of learning, we should pay attention to understanding, emancipate our minds, turn abstract into concrete, and gradually cultivate our interest in learning mathematics.
15。 Proper classification of concepts can simplify the learning content, highlight the key points, clarify the context, and facilitate analysis, comparison, synthesis and concept.
16. The most taboo in mathematics learning is fuzzy knowledge and chaotic knowledge points. In order to avoid this situation, students should learn to write a summary of knowledge structure.
17. Learn to divide and combine questions, learn to analyze and solve typical problems from multiple angles and aspects, and summarize basic questions and basic laws and methods.
18. form an organic whole according to the relationship between the same mathematical knowledge, so as to achieve the goal of global memory.
19. Combining the characteristics of various special trainings, let more students communicate with teachers, learn from others' strengths, save time, improve the speed and quality of problem-solving and improve their coping ability.
20。 Learn mathematics step by step. As long as we lay a good foundation, we can gradually improve.
2 1。 The key to solving mathematical problems is to establish correct mathematical concepts from the perspective of mathematical thinking and use mathematical laws to solve problems.
22. Listening carefully is an important part of laying a good foundation in mathematics, and it is also the fundamental way to firmly grasp basic knowledge.
Articles related to knowledge points of Shanghai Education Edition of Senior One Mathematics;
★ Shanghai Education Edition Senior One Mathematics Knowledge Points
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★ Guidance on learning methods for the first grade.
★ Summary of learning methods in primary and secondary schools
★ Best learning method recommendation
★ Guidance on learning methods in grade seven
★ Review method