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Authoritative PPT Summary
"Linear Equation of One Variable" PPT Courseware 2
The right direction is the beginning of success
learning target:
1. Understand the concept of linear equation of one variable and be able to judge whether the equation is a linear equation of one variable.
2. Experience the process of conceptual induction and formation of linear equations of one variable.
3. Be able to use the "estimate-test" method to estimate the approximate range or solution of an equation.
Independent learning experimental inquiry
Take a piece of paper, cut it into 4 pieces for the first time, then cut one piece into 4 smaller pieces for the second time, and continue cutting like this, as shown in the picture.
(1) The third time, the fourth time, the fifth time,...respectively
How many pieces of paper were cut in total? Fill out the form below:
(2) If x times are cut (x is a positive integer), how many pieces of paper are cut in total? How did you get it? Communicate with classmates.
A total of (3x+1) pieces can be obtained by cutting x times
The first time is 4 tablets, and each subsequent time will be three more tablets than the previous one. The xth time should be [4+3(x-1)] tablets
1. Definition of equation
The equations 3x+1=64, 4+3(x-1)=64 and 3x+5=2, 2x-3=x all contain unknown numbers. Equations like this are the equations we know. An equation with unknown numbers is called an equation.
Can you tell which of the following equations are equations?
(1) 3x-2 (2) 3-5=-2
(3) 3x+4=2x (4) x+2y=3
Answer: (1) It is not an equation, not an equation;
(2) It is not an equation and does not contain unknowns;
(3) and (4) are equations.
2. Definition of solutions to equations
Substituting x=-1 into the equation 3x+5=2, the left side of the equation is equal to the right side.
The value of the unknown that makes both sides of the equation equal is called the solution of the equation.
Judgment: Is X=5 the solution to equation 2x-1=9?
The solution of an equation containing only one unknown number is called the root of the equation, and the process of finding the solution of the equation is called solving the equation.
3. Linear equation of one variable
Observe (1) 3x+1=64 (2) 4+3(x-1)=64
(3) 9x-0.75=393 (4) 32+x-8=29
What characteristics do they have in common?
Similarity:
(1) Both sides of the equation are integers
(2) Contains only one unknown number
(3) The degree of the unknown number is once
Definition: Both sides of the equation are integers, both contain only one unknown, and the degree of the unknown is 1. An equation like this is called a linear equation of one variable.
Compare the textbook: These equations contain only one unknown, and the degree of the unknown is 1. Equations like this are called linear equations of one variable. linear equation of one variable_
"Yuan" means "unknown number". In addition to using x, you can also use letters such as y and z to represent unknown numbers.
Can you write a linear equation of one variable?
Cooperation and exchange
How to find the solution to the equation 4+3(x-1)=64?
Please follow the steps in the table below to estimate the solution to this equation and check it.
Did you get the solution to the equation? What suggestions do you have for solving the equation above? Communicate with classmates.
Keywords: Teaching courseware for linear equations of one variable, Qingdao edition seventh grade mathematics volume PPT courseware download, seventh grade mathematics slide courseware download, linear equation of one variable PPT courseware download, .PPT format;
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