Content

• Steps
• Advice
• Warning
• What you need

Anyone can learn math, whether they are at an advanced level or just want to practice basic skills. After discussing ways to become a good math student, this article will teach you the basics of math courses and tell you the basics of what to learn in each course. It will then summarize the essentials of arithmetic, useful for elementary students and anyone who needs to hone in on the foundations of math.

Steps

Part 1 of 6: The key to becoming a good math student

1. 

   Go to class. After skipping class, you will either have to learn concepts from your friends or study in textbooks by yourself. Information provided from friends or books is never as good as listening to lectures directly from teachers.
   • Come to class on time. You should actually arrive a little early, open up the right page, open the textbook and take out your calculator, so that you are ready when the teacher begins to lecture.
   • Only skip class if you get sick. When you miss a class, ask your friends to tell you what the teacher taught and the homework assignments.

2. 

   
   
   Work together with the teacher. When your teacher is working on his homework on the podium, you should also do the homework in your own notebook.
   • Remember to take notes that are clean and easy to read. Don't just write the essay, you should write whatever your teacher says to help you understand the concepts better.
   • Solve any sample problems the teacher wrote on the board. Find answers to the problem while the teacher walks around the classroom waiting for the class to work.
   • Actively participate when teachers solve homework. Don't wait for them to call you to answer. Volunteer to respond when you know the answer, and raise your hand to ask questions when you do not understand what your teacher is saying.

3. 

   
   
   Do homework on the same day as assigned. When you do your homework on the same day, the concepts are still in your mind. Sometimes you may not be able to finish homework that day, but at least you must do it before class.

4. 

   Make an effort to study after class. See the teacher during their free time or work hours.
   • If your school has a Math Center, you should know its hours to get help when you need it.
   • Join a group study. Study groups should have about 4 or 5 members of different backgrounds. If you are a math "C" student, you should join a group of 2 or 3 "A" or "B" students so you can improve your skills. Avoid joining a group full of students who are weaker than you.
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Part 2 of 6: Study math at school

1. 

   
   
   Starting with arithmetic. Often students will start with arithmetic at the elementary level. Arithmetic includes basic math operations such as addition, subtraction, multiplication, and division.
   • Do homework. Repeating many arithmetic problems over and over is the best way to master the basics. Find software that will give you lots of exercises to solve. You should also look for timed exercises to speed up solving.
   • Doing many exercises is the basis for good math. Not only will you learn the concepts, but practice to remember longer!
   • You can find arithmetic problems online, and download arithmetic apps to your mobile device.

2. 

   Continue with pre-algebra. This course will provide the foundational knowledge needed to solve algebraic problems later.
   • Learn about fractions and decimals. You will learn how to add, subtract, multiply, and divide both fractions and decimals. Regarding fractions, you will learn how to reduce and understand mixed numbers. In terms of decimals, you will learn how to find the row values ​​of digits, and can use decimals in word problems.
   • Learn about ratios, ratios and percentages. These concepts will help you learn to make comparisons.
   • Calculate the square and square root. Once you have learned this topic well, you will remember the squared values ​​of many numbers. You can also solve equations with square roots.
   • Start learning basic geometry. You will learn all shapes as well as holograms. The concepts you will learn are area, perimeter, volume, and surface area, and learn about parallel and perpendicular lines, and types of angles.
   • Understand some basic concepts of statistics. In pre-algebra, the first part of statistics is mainly about histograms, scatter plots, strata plots and histograms.
   • Learn basic algebra. Basic algebra has things like solving simple equations that contain variables, learning about properties like distributive properties, graphing simple equations, and solving inequalities.

3. 

   Continue studying Algebra I. During your first year of algebra you will learn basic algebraic symbols. You will also learn how to:
   • Solve linear equations and inequalities containing 1-2 variables.Not only will you learn how to solve these problems on paper, but sometimes solve them with the calculator.
   • Solve problems with words. You will be surprised because there are many problems in everyday life related to your ability to solve profitable algebraic problems. For example, you would use algebra to find the rate you return on a bank account or on an investment. You can also use algebra to figure out how long you spend traveling based on the speed of the vehicle.
   • Working with exponents. When you begin to solve an equation that contains polynomials (expressions with both numbers and variables), you will have to understand how exponents are used. To solve these equations you may also need to use mathematical notation. After mastering exponents, you can add, subtract, multiply, and divide polynomial expressions.
   • Understand functions and graphs. In algebra, you will definitely have to learn graph equations. You must learn how to calculate the slope of the line, how to convert the equation to the point-coefficient form, and how to calculate the coordinates of the intersection of the line with the x and y axes using the point-coefficient equation.
   • Solve the system of equations. Sometimes people give two separate equations with variables x and y, and you have to solve for x and y for both equations. Fortunately, you can learn a variety of tips for solving these equations, including the method of graphing, substitution and addition.

4. 

   Start learning geometry. In geometry, you will learn about the properties of lines, segments, angles, and shapes.
   • You must memorize a number of theorems and their consequences in order to be able to understand the principles of geometry.
   • You will learn how to calculate the area of ​​a circle, how to use the Pythagorean Theorem, and find relationships between the corners and sides of some particular triangles.
   • Later you will see geometry occupy a lot of standardized tests such as the SAT, ACT and GRE.

5. 

   Learn to Algebra II. Algebra II builds on the concepts you learned in Algebra I but adds more complex topics related to non-linear functions and matrices.

6. 

   Learn trigonometry. Trigonometry has functions such as sin, cos, tang and so on. You will learn a variety of practical ways to calculate angle and line length, which is very useful for construction, architectural, and construction professionals. geodetic engineering.

7. 

   Apply some knowledge of analysis. Calculus sounds scary, but it's a great toolbox to help you understand how numbers work and the world around them.
   • With calculus, you will learn about functions and limits. You will see how some of the functions are useful, such as the e ^ x function and the logarithmic function.
   • You also learn how to calculate and work with derivatives. The primary derivative gives you information on the slope of the tangent to the graph of the equation. For example, the primary derivative of a quantity indicates the rate of change of something in the non-linear case. The secondary derivative indicates whether a function is increasing or decreasing over a certain time frame, so you can determine the concave function.
   • Integral helps you to calculate the area under a curve and also the volume.
   • Calculus in general usually ends with series and numbers. Although students do not see many uses of the subject of the numbering topic, it is very important for those who will continue to learn differential equations afterwards.
   • For some people, calculus is still just the starting point. If you are considering pursuing a career that involves a lot of math and science, like engineering, take a deeper dive into math!
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Part 3 of 6: Basic math knowledge - Proficient practice of some additions

1. 

   Start with "+1". Adding 1 to a number returns the next number on the number line. For example, 2 + 1 = 3.

2. 

   Understand zero. Any number plus zero is equal to itself, because "no" means "nothing".

3. 

   Learn how to add a number to itself. These problems require you to add two identical numbers. For example, 3 + 3 = 6 is an equation that adds a number to itself.

4. 

   Use the diagram to learn other ways to add. In the example below, through the diagram you will know what the result is when adding 3 plus 5, 2 and 1. Do the math "plus 2" yourself.

5. 

   Do math with numbers greater than 10. Learn how to add 3's together to get a result greater than 10.

6. 

   Add up the larger numbers. Learn how to bring about tens, tens to hundreds and so on.
   • Add the numbers in the right column first. 8 + 4 = 12, which means you have 1 in the tens and 2 in the unit. Write the number 2 below the unit column.
   • Write the number 1 above the tens column.
   • Add the numbers in the tens of columns together.
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Part 4 of 6: Basic math knowledge - How to perform subtraction

1. 

   Start with "-1". Taking a number minus 1 will take you back one unit. For example, 4 - 1 = 3.

2. 

   Learn to subtract with two similar numbers. For example, you add two similar numbers 5 + 5 to get 10. Reverse the equation to get 10 - 5 = 5.
   • If 5 + 5 = 10 then 10 - 5 = 5.
   • If 2 + 2 = 4 then 4 - 2 = 2.

3. 

   Memorize some related calculations. For example:
   • 3 + 1 = 4
   • 1 + 3 = 4
   • 4 - 1 = 3
   • 4 - 3 = 1

4. 

   Find the missing number. For example, ___ + 1 = 6 (answer is 5). This form of math lays the foundations for algebra and beyond.

5. 

   Memorize subtraction up to 20.

6. 

   Practice subtracting 2-digit numbers for 1-digit numbers without borrowing. Subtract the numbers in the units column and put down the tens.

7. 

   Practice finding the row values ​​of digits to prepare for subtraction by borrowing.
   • 32 = 3 in the tens and 2 in the unit.
   • 64 = 6 in the tens and 4 in the unit.
   • 96 = __ in the tens and __ in the unit.

8. 

   Subtract by borrowing.
   • You want to subtract 42 - 37. Start by subtracting 2 - 7 in the unit column. However, this cannot be done!
   • Borrow 10 from the tens column and put in the units column. Instead of having 4 in the tens, you now have only 3. Instead of 2 in the unit, you now have 12.
   • Subtract the unit column first: 12 - 7 = 5. Then check the tens column, since 3 - 3 = 0 you don't need to write 0. The answer is 5.
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Part 5 of 6: Basic math knowledge - Practice multiplication

1. 

   Start with multiplication for 1 and 0. Any number multiplied by 1 equals itself. Any number multiplied by 0 will be 0.

2. 

   Learn the multiplication tables.

3. 

   Practice multiplication problems for 1-digit numbers.

4. 

   Multiply the 2-digit number by the 1-digit number.
   • Multiply the number in the lower right by the number in the upper right.
   • Multiply the number in the lower right by the number in the upper left.

5. 

   Multiply two 2-digit numbers together.
   • Multiply the number in the lower right by the number in the upper right and then the number in the upper left.
   • Shifts the second row one digit to the left.
   • Multiply the number in the lower left by the number in the upper right and then the number in the upper left.
   • Add columns together.

6. 

   Multiply and gather columns.
   • You want to multiply 34 x 6. Start by multiplying the unit column (4 x 6), but you cannot write 24 in the unit column.
   • Keep 4 in the unit column. Move 2 in the tens to the tens column.
   • Multiply 6 x 3 to get 18. Add up to 2 that you switched and get 20.
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Part 6 of 6: Basic math knowledge - Learn division

1. 

   Consider division as the opposite of multiplication. If 4 x 4 = 16 then 16/4 = 4.

2. 

   Write down the division problem.
   • Divide the number to the left of the divider, also known as the divisor, by the first digit below the divider. Since 6/2 = 3, you write 3 on top of the divider.
   • Multiply the number at the top of the divider by the divisor. Bring this product below the first digit below the divider. Since 3 x 2 = 6, you would put 6 down.
   • Subtract 2 numbers you just wrote. 6 - 6 = 0. You can leave the space with a zero because a number usually doesn't start with a zero.
   • Bring the second digit of the year below the divisor.
   • Divide the number you just gave down by the divisor. In this case, 8/2 = 4. Write 4 on top of the divider.
   • Multiply the number on the top right by the divisor and bring this number down. 4 x 2 = 8.
   • Subtract the numbers from each other. The final subtraction result is zero, which means you have completed the division problem. 68/2 = 34.

3. 

   Division has remainder. There are cases where the divisor is not divisible by other numbers. When you finish the final subtraction and have no more digits to put down, that final number is the balance. advertisement

Advice

• Math learning is not a passive activity. You cannot learn math just by reading the textbook. Use online tools and teacher handouts to stay honest until understanding concepts.
• Concepts are part of the math that you cannot ignore. Sometimes it is better to know the concepts and get it wrong, than to not know them but do it right.
• Honestly on each math topic. Only study one topic at a time so you can find your strengths and weaknesses. After you have covered all the topics, start practicing in the workbook. The more you practice, the better you are!

Warning

• Don't depend on a handheld computer. Learn how to solve math problems by hand so you can understand each step of the problem. However, handheld computers may be needed for more advanced math courses in high school and college.

What you need

• Writing tools (pencil or ballpoint pen)
• Eraser
• Paper
• Ruler
• Pencil sharpener
• Laptop
• Notebook
• Geometry kits