"Understanding linear equations of one variable" PPT courseware of linear equations of one variable (Lesson 1)

Description

"Understanding linear equations of one variable" PPT courseware of linear equations of one variable (Lesson 1)

Part One: Learning Objectives

1. Understand the concept of linear equation of one variable.

2. Be able to list linear equations of one variable based on the equivalence relationships in specific problems. (Key points and difficulties)

Understanding linear equations of one variable PPT, part 2: teaching new lessons

The concept of linear equation of one variable and the solution of linear equation of one variable

collaborative inquiry

Scenario 1: What is your age multiplied by 2 minus 5?

you are 13 years old

How does she know that I am 13 years old?

If Xiao Min's age is assumed to be x years, then "multiplied by 2 and then minus 5" is ________, so the equation can be obtained: ______________.

Scenario 2: Xiaoying planted a sapling. The height of the sapling was 40 cm at the beginning. After planting, the sapling grew about 15 cm every week. How many weeks later did the sapling grow to 1 meter?

If it is assumed that the sapling will grow to 1m after x weeks, then the equation can be obtained: ______________.

Scenario 3: The area of ​​a rectangular playground is 5850 m2, and the difference between the length and width is 25 m. How many meters are the length and width of this playground?

If the width of this playground is x m, then the length is (x+25) m, so we can get the equation: ______________.

Discuss

(1) Are there any equations you are familiar with among the equations obtained above? Which ones are they?

(2) What do the equations 2x-5=21 and 40+5x=100 have in common?

(3) An equation that satisfies what conditions is a linear equation of one variable?

Analysis of classic examples

Example 1 If the equation 2xm-3+4=7 about x is a linear equation of one variable, find the value of m.

concept learning

Definition of solutions to equations

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.

In the "Guess the Age" game, when we are told that the result of the calculation is 21, we write the equation 2x-5=21, and the age is 13. Since 13 can make both sides of the equation equal, we call 13 the solution of the equation 2x-5=21.

Method summary

To determine whether a number is the solution of an equation, according to the definition of "solution of an equation", just use this number to replace the unknown number in the equation and see if the values ​​on the left and right sides of the equation are equal. If "left side = right side", then this number It is the solution of the equation. Otherwise, this number is not the solution of the equation.

PPT on understanding linear equations of one variable, part three: practice in class

1. Among the following equations, which one is a linear equation of one variable? (fill in the serial number).

(1) 3x＋8＝3; (2) 18－x; (3) 1＝2x＋2;

(4) 5x2＝20; (5) x＋y＝8; (6) 3x＋5＝3x＋2.

2. Solution of x=2_______ equation 4x-1=3 (fill in “yes” or “no”).

3. If the equation (a+6)x2+3x-8=7 is a linear equation of one variable with respect to x, then a=________.

4. If the equation (k-2)x|k-1|+4=0 about x is a linear equation of one variable, then k=____.

5. Xiaogang is going to use his saved pocket money to buy an MP4 player to learn English. He has saved 50 yuan and plans to save 30 yuan every month from this month until he has 260 yuan. Suppose Xiaogang has 260 yuan after x months, then the equation for calculating the number of months can be listed as ()

A.30x＋50＝260　B． 30x-50=260

C.x－50＝260D． x+50＝260

Understanding linear equations of one variable PPT, part 4 content: Class summary

Understand the linear equation of one variable

Definition of linear equation of one variable

Solution of the equation

List linear equations of one variable

Keywords: Beijing Normal University edition seventh-grade mathematics PPT courseware free download, understanding of linear equations of one variable PPT download, linear equations of one variable PPT download, .PPT format;

For more information about the PPT courseware "Linear Equations of One Variable and Understanding the Linear Equations of One Variable", please click on the PPT "Linear Equations of One Variable" PPT and Understanding the Linear Equations of One Variable PPT tag.

"Understanding linear equations of one variable" PPT download of linear equations of one variable (Lesson 2):

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"Understanding linear equations of one variable" PPT download of linear equations of one variable (Lesson 1):

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"Understanding linear equations of one variable" PPT courseware of linear equations of one variable (Lesson 2):

"Understanding linear equations of one variable" PPT courseware of linear equations of one variable (Lesson 2) Part 1: Learning objectives 1. Understand the basic properties of equations. (Key points) 2. Be able to use the properties of equations to solve simple linear equations of one variable. (Difficulty points )... ... ... Get to know Yiyuanyi..

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Update Time: 2024-11-22

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