"Solving Word Problems from a System of Equations" PPT Courseware 2

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"Solving Word Problems from a System of Equations" PPT Courseware 2

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"Solving Word Problems from a System of Equations" PPT Courseware 2

learning target

1. Learn to find the known and unknown quantities in practical problems.

2. Be able to find quantitative relationships in word problems, set up unknowns and form equations based on equivalent relationships.

Mathematics in life

A cruise ship on the Yangtze River departed from Shashi Port at a speed of 17 kilometers/hour and arrived at Yichang Port after several hours. If the ship speed increases by 1 km/h, the cruise ship can reach Gezhouba 9 kilometers upstream of Yichang in the same amount of time. How long does it take for the cruise ship to sail from Shashi Port to Yichang before speeding up? What is the flight distance from Shashi Port to Yichang?

In this question,

(1) The known quantity is the ship’s speed of 17 kilometers/hour, and the unknown quantity is the time and voyage

(2) The equivalent relationship is ship speed × time = voyage to Yichang

(Ship speed + 1) × time = voyage to Yichang + 9 kilometers

(3) If the yacht sailing time is x, and the voyage from Shashi Port to Yichang is y kilometers, can you formulate a system of equations based on the two equivalent relationships in the problem?

(4) Can you solve the equations listed?

induction

General steps for solving word problems from a system of linear equations in two variables:

Let two letters represent the two unknowns in the problem

Column lists the system of equations

Find two equivalent relationships

List systems of equations based on equivalence relationships

Solution Solve a system of equations to find the value of the unknown

Verify whether the obtained value is correct and consistent with the actual situation

Answer Write the answer

Review and Reflection

1. What knowledge and methods did you learn in this class?

2. Do you have any questions or ideas that you would like to share with everyone?

3. Problem-solving ideas:

Keywords: teaching courseware for solving application problems of systems of equations, Qingdao edition seventh-grade mathematics second volume PPT courseware download, download of seventh-grade mathematics slide courseware, downloading PPT courseware of solving application problems of systems of equations, .PPT format;

For more information about the PPT courseware "Solving Word Problems from a System of Equations", please click the "Solving Word Problems from a System of Equations" ppt tab.

"Solving Word Problems from a System of Equations" PPT Courseware 3:

"Solving Word Problems from a System of Equations" PPT Courseware 3 Knowledge Review Steps for solving word problems from a linear equation of one variable: Review Clarify the known quantities and unknown quantities in the question, as well as the quantitative relationship between them. Set up an unknown number. Column List the equations Analyze the meaning of the question and find out the equivalent relationship...

"Solving Word Problems from a System of Equations" PPT courseware:

"Solving Application Problems from a System of Equations" PPT Courseware Knowledge Review Steps for solving application problems using a linear equation of one variable: 1. Review. Clarify the known quantities and unknown quantities in the problem, as well as the quantitative relationship between them. Set up an unknown number. 2. List the equations, analyze the meaning of the question, and find out...

File Info

Update Time: 2024-09-02

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《列方程组解应用题》PPT课件2
(1)《列方程组解应用题》PPT课件2
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