Indefinite equation: the mathematical difficulty in the sixth grade graduation exam
Linear indefinite equation;
An equation with two unknowns is called binary linear equation, and it is also called binary linear indefinite equation because its solution is incorrect.
Traditional methods:
Observation, experiment and enumeration;
Multivariate indefinite equation:
A ternary linear equation is called ternary linear equation, and its solution is different.
Solution of multivariate indefinite equation;
Determine the value of an unknown number according to the known conditions, or eliminate an unknown number, so as to turn the ternary linear equation into a binary linear indefinite equation and solve it according to the binary linear indefinite equation.
Involving knowledge points:
Column equation, divisibility of numbers, size comparison
Steps to solve indefinite equations:
1, column equation; 2. elimination; 3. Write an expression; 4. Determine the scope; 5. Determine the characteristics; Step 6 determine the answer
Skills summary:
A. Skills of writing expressions: use unknowns with inconspicuous features to represent unknowns with obvious features, and consider using unknowns with small range to represent unknowns with large range.
B, exclusion skills: exclude a wide range of unknowns.
Knowledge points of sixth grade mathematics examination
(1) Write down three digits for the addition of two digits.
1, aligned with the same number;
2. Starting from the unit;
3. When the number of digits reaches 10, enter 1 into ten digits.
(2) Do a two-digit subtraction with a pen, and remember three things.
1, aligned with the same number;
2. Reduce from one place;
3. If the number of digits is not enough, subtract 1 from the number of digits, add 10 to the number of digits and then subtract.
(3) Calculation rules of mixed operation
1, in the formula without brackets, only addition and subtraction or multiplication and division can be performed from left to right;
2. In the formula without brackets, if there are multiplication and division and addition and subtraction, the multiplication and division should be calculated first, and then the addition and subtraction should be calculated;
3. If there are brackets in the formula, count the brackets first.
(D) four-digit reading method
1, read in order from the high order, thousands, hundreds, and so on;
2. There is a zero or two zeros in the middle, and only one "zero" is read;
No matter how many zeros there are, don't read the last number.
(5) Four-digit writing
1, written in order from the high order;
2. Write a few words in thousands, a few words in hundreds, and so on. Write "0" in the middle or at the end.
(6) Four-digit subtraction should also pay attention to three items.
1, aligned with the same number;
2. Reduce from one place;
3. Which figure is not enough to reduce? Retract 1 from the previous position, add 10 to the standard position, and then subtract.
Math learning methods in the sixth grade of primary school
First, seize the classroom.
Mathematics study focuses on weekdays and is not suitable for surprise review. The most important thing to study on weekdays is to attend class for 45 minutes. Listen attentively and keep your thoughts close to the teacher. At the same time, it needs to be clear that many students tend to ignore the mathematical thinking methods mentioned by teachers and attach importance to the solution of problems. In fact, thinking methods such as "transformation" and "combination of numbers and shapes" are far more important than the solution of a problem.
Second, finish the homework with high quality.
The so-called high quality refers to high precision and high speed. When writing homework, I sometimes repeat the same type of questions. At this time, we should consciously examine the speed and accuracy, and we can have a deeper thinking about this kind of problem every time we finish it, such as the content it examines, the mathematical thinking method used, the rules and skills of solving problems, etc. In addition, the thinking questions assigned by the teacher should also be carefully completed. If you don't give up easily, you must carry forward the "nail" energy, meditate whenever you have time, and inspiration will always come to you suddenly. Most importantly, this is an opportunity to challenge yourself. Success will bring self-confidence, which is very important for learning science; Even if you fail, this question will leave a deep impression on you.
Third, think hard and ask more questions.
First of all, we should know not only "why" but also "why" to understand the laws and theorems given by teachers. This is the way to understand. Secondly, we should be skeptical about learning any subject, especially mathematics. If you have any questions about the teacher's explanation and the content of the textbook, please feel free to ask questions and discuss with the teacher. In a word, thinking and asking questions are the ways to eliminate hidden dangers in learning.
Fourth, sum up and contrast, and clear up ideas.
(1) summary and comparison of knowledge points. After learning each chapter, you should make a frame diagram of the content of this chapter or go through it in your mind to clarify the relationship between them. Similar and confusing knowledge points should be summarized and compared separately, and sometimes they can be separated by association.
(2) Summary and comparison of topics. Students can set up their own question bank. One is wrong and the other is accurate. Write down the wrong questions in your homework and exams selectively, and mark the matters needing attention with a red pen. Just read what is written in red pen before the exam. I also wrote down some extremely wonderful or difficult problems I saw, and marked the methods and ideas used in this problem with a red pen. After a long time, I can sum up some types of problem-solving rules and write them down in red notes. In the end, they will become your precious wealth and be of great help to your math study.
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