"Linear Equation of One Variable" PPT Courseware 3

Description

"Linear Equation of One Variable" PPT Courseware 3

Equation: An equation with unknown numbers.

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.

What is the solution of an equation?

The value of the unknown that equalizes the values ​​on the left and right sides of the equation is called the solution of the equation.

judge:

Is X=5 the solution to equation 2x-1=9?

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.

(3) If a total of 64 pieces of paper are cut, how many times are they cut?

At this time, the number of paper cuts x is an unknown number, and the equivalent relationship given in the question is:

The total number of pieces of paper cut x times = 64

What equations can be formulated based on this equivalence relationship?

Harvest rules

Observe 3x+1=64, 4+3(x-1)=64, and the equations in the previous section 9x-0.75=393, 32+x-8=29, etc. What 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: An equation in which both sides of the equation are integers, contain only one unknown, and the degree of the unknown is linear, is called 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;

For more information about the PPT courseware "Linear Equations of One Variable", please click the "Linear Equations of One Variable" ppt tab.

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Update Time: 2024-09-16

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 1 industry PPT template

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