"Relationships between variables represented by images" PPT courseware 4 on the relationship between variables

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"Relationships between variables represented by images" PPT courseware 4 on the relationship between variables

1. The following three figures respectively show the change of the car's speed v with time t. According to the images:

Which means the car is moving at a constant speed is _____

It means ______ that the car is accelerating

It means that the car is slowing down ______

2. The figure shows the relationship between the distance s traveled by the car and the driving time t (h).

(1) Within 2 hours, the car traveled a total of _____ kilometers;

(2)The speed of the car is _____ kilometers/hour;

(3)The car is moving on ______. (Fill in "constant speed", "acceleration" or "deceleration")

learning target

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

2. Give an actual situation and be able to roughly depict its relationship diagram.

3. Further develop the ability to obtain information from images and the ability to express language in an organized manner.

Teach a new lesson

When a car is driving, its speed often changes. The graph below shows the speed of a car as a function of time.

1. How much time elapsed from the start of the car to its final stop? What's its top speed?

Answer: A total of 24 minutes passed from the start to the final stop of the car. The top speed of the car is 90 kilometers per hour.

2. During which time periods does the car maintain a constant speed? What are the speeds per hour?

Answer: The car is traveling at a constant speed from about 2 minutes to 6 minutes, and from 18 minutes to 22 minutes. The speed is 30 kilometers/hour and 90 kilometers/hour respectively.

3. What might have happened between 8 and 10 minutes after departure?

Answer: The speed is 0 from 8 minutes to 10 minutes after departure, so the car is stationary. It may be that it meets a friend; it may also stop to refuel, etc.

Expand and extend

1. The picture below shows the relationship between the distance and time of a person riding a bicycle from home. The cyclist leaves home at nine o'clock and returns home at fifteen o'clock. Based on this picture, answer the question:

(1) When will you arrive at the farthest place from home? How far is it from home?

Arrive at the farthest place from home at 12 o'clock, 30 kilometers away from home.

(2) When does the first break start? How long is the break?

The first break started at 10:30 and lasted for 30 minutes.

2. The glass container into which the water drops enter is as shown in the figure below (the speed of the water droplets is the same). Then how does the height h of the water change with time t? Please select the matching diagram and container.

3. If OA and BA represent the relationship between the distance s and time t of the movement of two students A and B respectively, judge based on the image that the speed of the faster student is _______m per second faster than the speed of the slower student.

summary

Tell us what you gained and experienced from this course.

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 written language, but also the graphic language. For example: What do "horizontal lines" represent in a graph of velocity versus time? What does the "rising line" mean?

3. Clarify the independent variables, dependent variables and the relationship between them.

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For more information about the PPT courseware "Relationships Between Variables Represented with Graphics" PPT Courseware, please click on the Relationships Between Variables PPT Relation Between Variables Represented with Graphics PPT tag.

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Update Time: 2024-07-06

This template belongs to Mathematics courseware Beijing Normal University Edition Seventh Grade Mathematics Volume 2 industry PPT template

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