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

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

Part One: Learning Objectives

1. Through the analysis of various practical problems, feel the significance of equations as an effective model to describe the real world.

2. Through observation, summarize the concept of linear equation of one variable.

Understanding linear equations of one variable PPT, part 2: introduction to situations

Games

If Xiaobin is x years old, then "multiplied by 2 and then subtracted by 5" is ____

So we get the equation:___________

An equation like this with unknown numbers is called an equation.

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 the sapling grows to 1 meter after x weeks, then the equation can be obtained: 40+15x =100

According to statistics from the Sixth National Census, the number of people with a college degree per 100,000 people nationwide in 2010 was 8,930, an increase of 147.30% from 2000. How many people per 100,000 people had a college degree in 2000? Educational level?

If it is assumed that approximately x people per 100,000 people have a college education in 2000, then the equation can be obtained: x(1+147.30%)=8930

Understanding the linear equation of one variable PPT, the third part: exploration of new knowledge

Discuss

What do the equations above have in common?

2x-5=21 40+15x =100

x(1+147.30%)=8930

x (x+25)=5850

In an equation, there is only one unknown number, and the exponent of the unknown number is 1. Such an equation is called a linear equation of one variable.

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.

Is x=2 the solution to equation 3x+(10-x)=20?

practice

(1) Among the following four equations, the linear equation of one variable is ( )

A. x2-1=0 B.x+y=1

C.12-7=5 D.x=0

(2) If 2x3a-2+1=0 is a linear equation of one variable, then a=___

(3) According to the meaning of the question, make an equation

In an ancient Egyptian scroll left around 1600 BC, some mathematical problems are recorded. One of the questions translates to: "Aha, all of it, one-seventh of it, and the sum is 19." Can you figure out the "it" in the question?

PPT on understanding linear equations of one variable, part 4: in-class exercises

1. Which of the following statements is correct ( )

A. An equation containing an unknown number is called a linear equation of one variable.

B. An equation whose degree of unknown is 1 is called a linear equation of one variable.

C. An integer containing an unknown number and the degree of the unknown number is 1 is called a linear equation of one variable.

D.It is not a linear equation of one variable.

2. The surface of the football is surrounded by a number of black pentagons and white hexagonal leather patches. The ratio of the number of black and white leather patches is 3:5. There are 32 leather patches on the surface of a football. How many black leather patches and white leather patches are there?

3. (Deformed) The surface of the football is composed of several black pentagons and white hexagons. Xiao Ming finally managed to count 12 black blocks in total, but when Xiao Bin counted the white blocks, he either repeated or omitted them, and was unable to count the number of white blocks. Please help Xiaobin solve this problem.

Understanding linear equations of one variable PPT, Part 5: Class summary

1. In an equation, there is only one unknown number x (element), and the exponent of the unknown number is 1 (degree). Such an equation is called a linear equation of one variable.

2. According to the meaning of the question, the general steps for formulating equations:

(1) Analyze the meaning of the question and find the equivalent relationship

(2) Set up unknown numbers reasonably

(3) Based on the equivalence relationship, list the equations

Homework assignment

P132 Exercise 5.1 Problem Solving Problem 3.

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):

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Update Time: 2024-11-21

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