"Relationships between variables represented by images" PPT courseware on the relationship between variables 2

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"Relationships between variables represented by images" PPT courseware on the relationship between variables 2

Reflection:

How many ways have we learned about representing relationships between variables?

1. List method

The following table shows a store's small profits but quick turnover situation. The original price of a certain product is 450 yuan. As the price decreases, the daily sales volume (unit: pieces) changes accordingly:

2. Relational method

A taxi consumes 5 kilograms of fuel per hour. If it consumes q kilograms of fuel in t hours, the independent variable is t, the dependent variable is q, and the relationship between q and t is q=5t.

3.Image method

The figure below shows the changes in water depth in a port from 0:00 to 6:00 on a certain day.

(1) Approximately when is the water in the port the deepest? Approximately how much?

(2) What does point A represent?

(3) Tell us how the water level in this port changes from 0:00 to 6:00?

Cooperative learning:

1. The persimmon is ripe and falls from the tree. Which picture below can roughly depict the changes in the speed of the persimmon during its falling (that is, before it hits the ground)?

2. A bus drove out from the station, accelerated for a while and then started to drive at a constant speed. After a while, the bus arrived at the next station. After the passengers got on and off, the bus started to accelerate, and after a while it started to drive at a constant speed. Which of the following? What graph can approximate the changes in the car during this time?

3. A classmate was walking home from No. 1 Middle School. He met two classmates on the way, so he played in the Cultural Palace for a while and then went home. Which picture can better depict this classmate leaving home? Changes in remaining distance and time: ... ... ...

Class summary: What was the gain today?

1. Through the situation of speed changing with time, experience the process of analyzing the relationship between variables from the image, and deepen the understanding of image representation.

2. Not only understand the text language, but also understand the graphic language.

3. The most important thing is to understand the independent variables and dependent variables, and understand their changing relationship.

4. The relationship between some variables can be represented graphically. It is vivid, intuitive and easy to explore trends.

5. When observing the image, pay attention to the names and units on its two axes. When identifying changes, you can grasp the starting point, end point, highest (lowest) point and other special positions.

Homework:

1. Which picture can be used to approximately describe each of the following situations?

1. A glass of increasingly cold water (the relationship between water temperature and time);

2. A rising flag (the relationship between height and time);

3. The ball kicked out by the football goalkeeper (the relationship between height and time);

4. A car traveling at a constant speed (relationship between speed and time).

2. If OA and BA respectively represent the relationship between the distance s and time t of the movement of two students A and B, the root image determines that the speed of the faster one is faster than the speed of the slow one per second ( ).

A. 2.5m B. 2m

C. 1.5m D. 1m

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Update Time: 2024-10-03

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

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