"The relationship between variables represented by tables" The relationship between variables PPT courseware 2

Description

"The relationship between variables represented by tables" The relationship between variables PPT courseware 2

learning target

1. Understand what variables, independent variables, and dependent variables are in specific situations.

2. Be able to obtain information on the relationship between variables from tables, use tables to express the relationship between variables, and try to make preliminary predictions on changing trends.

Everything is changing quietly. Studying the relationship between them from a mathematical perspective will help us better understand the world and predict the future. So let us open a new chapter of change together...

Answer the following questions based on the table above:

(1) When the height of the support is 70 cm, the sliding time of the car is ___ seconds.

(2) If h (cm) is used to represent the height of the support, and t (seconds) represents the sliding time of the car, as h gradually increases, what is the changing trend of t?

As h gradually becomes larger, t becomes shorter and shorter.

(3) Every time h increases by 10 centimeters, does t change in the same way?

(4) Estimate the value of t when h=110 cm? How did you estimate that?

Compare who is faster

Can you understand the concept of variables and find independent and dependent variables in the process of change?

(1) As time goes by, the remaining fuel amount of the car decreases while driving.

Independent variable: time Dependent variable: remaining fuel

(2) Boil a pot of water and find that the temperature changes with time within a certain period of time, that is, as time increases, the temperature gradually increases.

Independent variable: time Dependent variable: water temperature

(3) The weight of a baby at 6 months, 1 year old, and 2 years old is approximately 2 times, 3 times, and 4 times that at birth respectively.

Independent variable: age Dependent variable: weight

Fill it out

(1) During the process of change, we call the changing quantities variables, one of which is called ______ and the other is called ______;

(2) The amount of ________ changes with the change of the amount of _______;

In summer, the temperature in the room is as high as 39°C. Now turn on the air conditioner to cool down. The relationship between the indoor temperature and the time when the air conditioner is turned on is as follows:

①The above table reflects the relationship between which two variables? What are the independent and dependent variables?

② If t represents time and T represents temperature, what is the changing trend of T as t changes?

③ How many minutes will it take to reduce the temperature to 24℃?

Knowledge summary

Through today’s study, tell us what you gained and experienced in your own words?

1. Understand what variables, independent variables, and dependent variables are in specific situations.

2. Be able to obtain information on the relationship between variables from tables, use tables to express the relationship between variables, and try to make preliminary predictions on changing trends.

3. Be able to discover variables in life and appreciate the actual value of variables in mathematics to life.

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For more information about the PPT courseware "The relationship between variables is represented by a table, the relationship between variables is represented by a table", please click the "The relationship between variables ppt is represented by a table" ppt tag.

"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 3:

"Relationships between variables represented by tables" Relationship between variables PPT courseware 3 List a series of values ​​of the independent variables and the corresponding values ​​of the dependent variables into a table to represent the relationship between variables, like this to express the relationship between variables The method is called the table method. Use tables to represent variables..

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Update Time: 2024-06-25

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

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