"Linear Equation of One Variable" PPT courseware

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"Linear Equation of One Variable" PPT courseware

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"Linear Equation of One Variable" PPT courseware

Review of old knowledge 1

1. Describe the two basic properties of equations:

2. Use formulas to express the two basic properties of the equation:

Review of old knowledge 2

1. Equation: An equation containing unknown numbers.

2. Solution to the equation: the value of the unknown that makes the left and right sides of the equation equal.

3. Solution to equation 3x-2=x+2 ( )

A 2 B -1.5 C 1.5 D -2

4. Xiaoying planted a sapling. The height of the sapling was 40 cm at the beginning. After planting, the height of the sapling increased by about 15 cm every week. How many weeks later did the sapling grow to 100 cm?

40+15x=100

Experimental exploration

(1) The 1st time, the 2nd time, the 3rd time, the 4th time, the 5th time... how many pieces of paper were cut in total?

(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.

The first expression: 3x+1 The second expression: 4+3 (x-1)

(3) If a total of 64 pieces of paper are cut, how many times are they cut? How do you solve it?

3x+1=64 or

4+3(x-1)=64

Observation summary

Observe the equation:

3X+4=34, 40+15X=100

3X+1=64, 4+3(X-1)=64

What characteristics do they have in common?

These equations contain only one unknown, and the degree of the unknown is 1.

An equation like this is called a linear equation of one variable

Note: Equations: Equations with unknown numbers.

Unary: an unknown number. The unknown number can be x, y.z, etc.

Once: The exponent of the unknown is 1.

Summary reflection

1. The concept of linear equations of one variable and identification of linear equations of one variable;

2. Use mathematical thinking methods of estimation to solve problems;

3. Apply equation thinking to solve practical problems.

Homework assignment

1. Question 1 of Exercise 7.2 of Textbook P158.

2. Complete the interactions in the class and the content of the exercise book.

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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: 2024-09-12

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