"The relationship between variables represented by tables" The relationship between variables PPT courseware 3

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"The relationship between variables represented by tables" The relationship between variables PPT courseware 3

List a series of values ​​of the independent variable and the corresponding value of the dependent variable into a table to express the relationship between variables. This method of expressing the relationship between variables is called the tabular method.

Use tables to represent relationships between variables

[Example] Father told Xiao Ming: "The further away from the ground, the lower the temperature" and showed the following table:

According to reports, his father also asked Xiao Ming the following questions. Please answer them with Xiao Ming:

(1) If h represents the height from the ground and t represents the temperature, how does t change as h changes?

(2) Do you know what the temperature is at an altitude of 5 kilometers above the ground?

(3) Can you predict what the temperature will be at an altitude of 6 kilometers above the ground?

[Problem Solving and Research] (1) According to the table data, the farther away from the ground, the lower the temperature, so as h increases, t decreases.

(2) According to the table, the temperature at an altitude of 5 kilometers is -10 ℃.

(3) According to the law, the temperature decreases by 6°C for every 1km increase in height, so the temperature at 6km from the ground is -10-6=-16(°C).

[Summary of rules]

The "Three Ones" of using tables to express the relationship between variables

One advantage: According to the values ​​of the independent variables listed in the table, the values ​​of the corresponding dependent variables can be directly found, which is more convenient to use.

One shortcoming: the corresponding values ​​listed in the table are generally limited. It is not easy to see the corresponding rules between the two variables from the table, and it cannot intuitively and vividly reflect the changing trends between the variables.

One note: When using a table to express the relationship between variables, the independent variable must be expressed first, and then the dependent variable. When expressing the independent variable and dependent variable, the name of the unit must be written in the first column.

【Tracking Training】

1. The camel is called the "Ship of the Desert" and its body temperature changes with time. In this problem, the independent variable is ()

(A)Desert (B)Body temperature (C)Time (D)Camel

[Analysis] Choose C. Because the body temperature of a camel changes with time, the independent variable is time.

2. Regarding the formula for the circumference of a circle C=2πR, which of the following statements is correct ( )

(A)π, R is a variable and 2 is a constant

(B)R is a variable and π is a constant

(C)C is a variable, π, R is a constant

(D)C, R are variables, 2, π are constants

[Analysis] Choose D. Because a constant is a quantity that does not change during the change process, and a variable refers to a quantity that changes during the change process. So C and R are variables, and 2 and π are constants.

Classroom standard training

1. "One stone stirs up a thousand waves." When a stone is thrown into the water, it will stir up circles of circular ripples on the water. In this process, the independent variable is ()

(A)Time (B)Area of ​​circle

(C) Radius of circle (D) Stone

[Analysis] Choose C. The area of ​​a circle increases as the radius of the circle increases.

2. When an object falls from the sky, its falling speed changes with time. That is, the speed before landing gradually increases with time. The independent variable in this problem is ()

(A)Object (B)Speed ​​(C)Time (D)Air

[Analysis] Choose C. Because the speed changes with time, time is the independent variable and speed is the dependent variable.

3. Mingming takes the train from Guangzhou to Shanghai to visit his grandfather. The distance traveled changes with time. In this process, the dependent variable is ________.

[Analysis] Because the distance changes with time, the independent variable is time and the dependent variable is distance.

Answer: distance

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"Relationships between variables represented by tables" Relationship between variables PPT courseware 5:

"Relationships between variables represented by tables" PPT courseware 5 on the relationship between variables Knowledge base: This lesson is based on the students' learning of exploratory rules and statistical graphs in the seventh grade textbook, and uses tables to understand variables, Independent variables and dependent variables...

"Relationships between variables represented by tables" Relationship between variables PPT courseware 4:

"Relationships between variables expressed in tables" Relationship between variables PPT courseware 4 Learning objectives 1. Experience the process of exploring the relationship between variables in certain graphs, and be able to understand the variables, independent variables, and dependent variables in the process, Further develop symbolic sense and abstract thinking. 2...

"Relationships between variables represented by tables" Relationship between variables PPT courseware 2:

"Relationships between variables expressed in tables" Relationship between variables PPT courseware 2 Learning objectives 1. Understand what variables, independent variables and dependent variables are in specific situations. 2. Able to obtain information on the relationship between variables from tables, and use tables to express the relationships between variables.

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Update Time: 2024-10-19

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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