Method 1: the key to being a good math student
1, stick to class. Without a class, you can only learn related concepts through classmates or textbooks. Learning related concepts through friends or textbooks is always less effective than learning from teachers. You should attend class on time. In fact, come to the classroom earlier, open your notebook and get your calculator ready, so that when your teacher is ready to start teaching, you will enter the state yourself.
Only ask for leave when you are not feeling well. If you miss a class, you should ask your classmates about the content of the teacher's lecture and the homework assigned.
2. Keep up with the teacher's ideas. If your teacher is solving problems in front of the classroom, you can follow them in your notebook. Make sure your notes are clear and readable. Don't just write down the questions. Also write down what the teacher said to help you understand related concepts.
Try to solve the thinking problems raised by the teacher in class and think carefully. When the teacher inspects the students' problem solving in class, you can ask your questions to the teacher.
Teachers should be involved in solving problems. Don't wait for the teacher to ask questions. When you know the result, you should take the initiative to answer, and when you are confused about the teaching content, you should raise your hand to ask questions.
3. The homework of the day is completed on the same day. If the homework of the day is completed on the same day, you can strengthen your understanding and memory of related concepts. Sometimes, you may not be able to finish the homework for the day. But you should make sure to finish your homework before the next class.
If you need help, you can also ask for help outside the classroom. Ask your teacher for help in your spare time or at work. If your school has a math center, you can also find out its opening hours and ask for help.
Join a study group. A good study group usually consists of 4 to 5 students of different levels. If your math score is "C", you should join a group of two or three "A" or "B" students in order to improve your level. Don't join a group of students whose grades are worse than yours.
Method 2: Learn math at school.
1, starting with arithmetic. In most schools, students study arithmetic in the lower grades. Arithmetic includes four basic operations: addition, subtraction, multiplication and division. Do more exercises. Constantly solving arithmetic problems is the best way to learn basic operations. Find some software that can give you many different math problems. At the same time, do timing exercises to improve your speed.
You can also find some arithmetic exercises online and download arithmetic applications on your mobile phone.
2. Continue to study elementary algebra. This course will enable you to master the basic knowledge necessary to solve algebra problems in the future. Learn fractions and decimals. You will learn fractions and the addition, subtraction, multiplication and division of small trees. Regarding fractions, you will learn how to reduce fractions and explain mixed fractions. About decimals, you need to know the bit value, and decimals will be used in application problems.
Learning rate, proportion and percentage. These concepts help you to make a comparison.
Learn basic geometry. You will learn all the graphics and 3D concepts. You will also learn the concepts of area, perimeter, volume and surface area, as well as surface area and balance line, vertical line, angle and so on.
Understand basic statistics. In the course of elementary algebra, the statistical knowledge you want to learn mainly includes the application of graphic tools such as charts, scatter charts, branch charts and histograms.
Learn the basics of algebra. This will include various basic concepts, such as solving simple variable equations, learning various attributes such as distribution attributes, drawing graphs of simple equations and solving inequalities.
3. Continue to study algebra. In the first year of algebra study, you will learn the basic symbols used in algebra. You will also learn to solve equations and inequalities with variables. You will learn how to solve these problems with pen algorithm and graphic method.
Solve practical problems. You may be surprised that you will need the ability to solve algebra application problems in your daily problems in the future. For example, you will use algebraic methods to calculate the interest on your bank account or investment. You can also use algebraic methods to calculate the time you will spend on the journey according to your speed.
Use an index. When you start solving polynomial equations (expressions containing numbers and variables), you need to understand how to use exponents. This also includes how to use scientific expressions. After mastering the application of exponents, you can learn the addition, subtraction, multiplication and division of polynomials.
Solve the problem of square sum and square root. When you master this aspect, you can remember many complete squares. You will also be able to calculate equations containing square roots.
Understand functions and graphs. In algebra, you need to learn graphic equations. You will need to learn how to calculate the slope of a straight line, how to convert the equation into a point slope type, and how to use the slope type to calculate the intercept of a straight line on the X and Y axes.
Solve equations. Sometimes, you will get two independent equations, the variables are X and Y, and you must solve them to get X or Y. Fortunately, you will learn many methods to solve these equations, including graphic method, substitution method and addition.
4. Learn geometry. In geometry class, you will learn the properties of straight lines, line segments, angles and figures. You will remember many theorems and inferences, which will help you understand the laws of geometry.
You will learn how to calculate the area of a circle and how to use Pythagoras theorem to calculate the angle of a special triangle and the relationship between its three sides.
You will encounter many geometry problems in the standardized exams in the future, such as SAT, ACT and GRE.
5. Learn algebra 2. Algebra II is based on the concepts you learned in Algebra I, but it adds more complicated topics, such as quadratic equations and matrices.
6. Learn trigonometric functions. You will learn trigonometric functions: sine, cosine, tangent and so on. Through trigonometric functions, you will learn many practical methods to calculate angles and line segment lengths. These skills are very important for people who will enter the construction, construction, engineering or surveying industry.
7. Learn some calculus. Calculus sounds daunting, but it is an excellent tool to help us understand the numbers around us and the world behavior. You will learn functions and limits through calculus. You will understand their properties and come into contact with some useful functions, including e x and logarithmic functions.
You will also learn the calculation method and the use of derivatives. The slope of the tangent of the equation can be known by the first derivative. For example, derivatives can let you know the rate at which something changes in a nonlinear state. The second derivative can let you know whether a function is increasing or decreasing in a specific interval, thus determining the concavity of the function.
Integral will enable you to learn how to calculate the graphic area and volume under the curve.
Calculus in senior high school generally only learns series and series. Although students will not encounter many applications of series, it is very important for those who will continue to study differential equations.
Method 3: Basic Mathematics-Mastering Addition
1, starting with "+1". Add 1 to a number and you will get the next larger number in the series. Such as 2+ 1 = 3.
2. Know zero. Any number plus zero will be equal to the original number, because "zero" is equivalent to "nothing".
3. Double your study. To double is to add two identical numbers. For example, 3+3 = 6 is an equation involving the doubling problem.
4. Use mapping to learn other addition methods. In the following example, you can understand what happens when 3 plus 5 and 2 plus 1 are mapped. Please try the "plus 2" question yourself.
5. Learn the addition above 10. Learn to add three numbers to get a result greater than 10.
6. Add a bigger number. Learn to carry the result of a unit to ten places, the result of the tenth place to one hundred places, and so on. When adding, start from the low position. 8+4 = 12, which means you have 1 10 and 2 1. Write 2 in one place.
Write 1 to 10.
Add up the figures in ten places.
Method 4: Mathematical basis-subtraction principle
1, starting with "Hou 1". Subtracting 1 from a number will restore the previous number. Such as 4- 1 = 3.
2. Learn double subtraction. For example, if you double it and add 5+5, you will get 10. Then the opposite equation 10-5 = 5 can be obtained. If 5+5 = 10, then 10-5 = 5.
If 2+2 = 4, 4-2 = 2.
3. Remember the result set. For example: 3+ 1 = 4
1 + 3 = 4
4 - 1 = 3
4 - 3 = 1
4. Find out the missing figures. For example _ _+ 1 = 6 (the answer is 5).
5. Remember the subtraction result within 20.
6. Try not to borrow or subtract 1 digit from 2 digits. Subtract a number of one digit, subtract a number of ten digits.
7. Learn the bit value and prepare to subtract it with borrowing. 32 = 3 10 and 2 1.
64 = 6 10 and 4 1.
96 = __ 10 and __ 1.
8. Leverage subtraction. You need to subtract 42-37. You start by subtracting 2-7 from the unit. However, it won't work!
Borrow 10 from ten digits and combine them into single digits. At this time, you no longer have four 10, but only three 10. Now you don't have two 1, but 12 1.
First subtract the unit: 12-7 = 5. Then, a ten-digit subtraction is performed. Because 3-3 = 0, you no longer need to write down 0. The final result is 5.
Method 5: Mathematical Foundation-Mastering Multiplication
1, starting from 0 and 1. Any number multiplied by 1 equals the number itself. Any number multiplied by zero equals zero.
2. Recite the multiplication table.
3. Practice solving the multiplication problem of 1 digit.
4.2 digits times 1 digits. Multiply the number in the lower right corner by the number in the upper right corner.
Multiply the number at the bottom right by the number at the top left.
5. Multiply two digits. Multiply the number at the bottom right by the number at the top right, and then multiply it by the number at the top left.
Move the number in the second line to the left by one number.
Multiply the number at the bottom left by the number at the top right, and then multiply it by the number at the top left.
Add up all the columns of figures.
6. Multiply and reorganize the columns. You need to multiply by 34 x 6. You start with a bit (4 x 6), but you can't keep 24 bits 1 on a bit.
One bit keeps four 1. Move 2 to the tenth place.
Multiply by 6 x 3 to get 18. Add the rounded 2 to the result and you will get 20.