"Application of linear equations of one variable - the water tank becomes higher" PPT teaching courseware of linear equations of one variable

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"Application of linear equations of one variable - the water tank becomes higher" PPT teaching courseware of linear equations of one variable

Part One: Teaching Objectives

1. Find the invariants in the problem by analyzing the actual problem;

2. Be able to find equivalent relationships based on invariants;

3. Set up unknowns according to the equivalence relationship, formulate equations, solve them, and be able to verify the rationality of the solutions.

Important and difficult points

1. Key points: Find the equivalent relationship in the problem and establish an equation.

2. Difficulties: correctly find the equivalence relationship, set up unknowns, make equations, solve them, and verify the rationality of the solutions.

Using a linear equation of one variable, the water tank becomes taller PPT, part 2: review review

1. Fill in the blanks:

Perimeter of rectangle =_______________, area =_______________.

Perimeter of a square =_______________, area =_______________.

The volume of the cuboid =_______________, the volume of the cube =_______________.

Circumference of a circle = ______________, area = ______________.

The volume of the cylinder =_______________.

2. Steps to solve word problems using equations:

(1) Review the meaning of the question and find out the "_______ relationship";

(2) Assume ________;

(3) Column________;

(4) Find _______ correctly;

(5) Determine the ________ of the solution to the equation;

(6) Answer.

3. Which quantities changed during the following process? Which quantities have remained unchanged? Find equivalence relationships based on invariants.

(1) Use a piece of plasticine to first shape a "long and thin" cylinder, and then shorten it into a "short and fat" cylinder;

(2) Use a 15cm wire to surround it into a rectangle, and then surround it into a triangle;

(3) Cut a rectangle and piece it into a parallelogram.

Using a linear equation of one variable makes the water tank taller PPT, part three: self-study outline

(1) What is the equivalence relationship in the question?

The volume of the old water tank = the volume of the new water tank

(2) Assume the height of the new water tank is x meters, fill in the following table:

(3) Standard problem-solving process:

Solution: Assume the height of the new water tank is x meters

From the meaning of the question, we get π×22×4= π×1.62×x

Solving the equation, we get 16π= 2.56πx

x=6.25

Answer: The height of the new water tank is 6.25 meters

Applying linear equation of one variable to make the water tank taller PPT, Part 4: Classroom exercises

1. Big Big Wolf’s Problem

(1) The length of a rectangle is 1.4 meters longer than its width. What are the length and width of this rectangle? What is the area?

(2) The length of a rectangle is 0.8 meters longer than its width. What are the length and width of this rectangle? How has the area changed compared to the previous one?

(3) The length and width of this rectangle are equal, that is, it forms a square. What is the side length of this square? How has the area changed compared to the previous graph?

2. Practice variations

Xiaohua's father raised a group of chickens and kept them in a chicken pen that was 30 meters long and 10 meters wide surrounded by an 80-meter fence. In order to expand the scale of chicken farming, can you help him think of a way to use the existing fence to expand the area of ​​the chicken pen?

Using a linear equation of one variable makes the water tank taller PPT, Part 5: Meeting the standards in the classroom

A trapezoid-shaped decoration made of a colored rope is nailed to the wall. Xiaoying removes the nails at the bottom of the trapezoid and nails the colored rope into a rectangle. Then, the length and width of the rectangle nailed by Xiaoying are different. How many centimeters is it?

Solution: Let the length of the rectangle be xcm

Then 2(10+x)=10×4+6×2

Solve for x=16

Answer: The length of the rectangle is 16cm and the width is 10cm.

Applying the linear equation of one variable to make the water tank taller PPT, Part 6: Summary

1. The key to formulating equations is to correctly find _______________;

2. When the perimeter of a rectangle remains unchanged, its area will change with the change of length and width. When ________ (that is, ________), the area is the largest.

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For more information about the PPT courseware "The water tank has become higher by applying the linear equation of one variable to the linear equation of one variable", please click the PPT tag of "The water tank has become higher by applying the linear equation of one variable" PPT.

"Application of linear equations of one variable - the water tank becomes higher" PPT courseware download of linear equations of one variable:

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"Application of linear equation of one variable - the water tank becomes higher" PPT download of linear equation of one variable:

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"Application of linear equation of one variable - the water tank becomes higher" PPT of linear equation of one variable:

"The water tank becomes taller by applying linear equations of one variable" PPT of linear equations Part 1: Learning objectives 1. Establish equations to solve problems by analyzing the basic equivalent relationships in graphic problems. 2. Learn more about the application of linear equations of one variable in solving practical problems.

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Update Time: 2024-11-16

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