"Relationships between variables represented by images" PPT courseware 3 on the relationship between variables

Description

"Relationships between variables represented by images" PPT courseware 3 on the relationship between variables

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:

This table reflects the relationship between two variables. The price reduction of each item is the independent variable, and the daily sales volume is the dependent variable.

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?

Example: When a car is driving, its speed often changes. The image below shows how the speed of a car changes with time.

(1) A total of _____ time has passed since the car started to its final stop. Its top speed is _____.

(2) The car keeps driving at a constant speed during _____ time period. The speeds per hour are _____ and _____ respectively.

(3) What may happen between 8 and 10 minutes after departure?

(4) Use your own words to roughly describe the driving conditions of this car.

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:

4. Li Ming rode his bicycle to school. He started traveling at a certain speed. The car broke down on the way and he had to stop to repair the car. After the car was repaired, he speeded up because he was afraid of delaying school time. As shown in the diagram below ( s is distance, t is time) The one that meets the above situation is ( )

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 written 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

3. Please collect images of variable relationships in life (newspapers, magazines, etc.).

Keywords: teaching courseware on the relationship between variables, teaching courseware on the relationship between variables represented by images, Beijing Normal University edition seventh grade mathematics volume 2 PPT courseware, seventh grade mathematics slide courseware download, relationship between variables PPT courseware download , PPT courseware download of the relationship between variables represented by images, in .ppt format

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.

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

"Relationships between variables represented by images" PPT courseware 4 on the relationship between variables 1. The following three figures respectively represent the changes in the car's speed v with time t. According to the images: means that the car is moving at a constant speed. _____ means that the car is accelerating..

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

"Relationships between variables represented by images" PPT courseware on the relationship between variables 2 Review and thinking: How many methods have we learned to express the relationship between variables? 1. List method The following table lists the small profits but quick turnover of a store Situation, the original price of a certain product is 450 yuan, as...

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

"Relationships between variables represented by images" PPT courseware on the relationship between variables Learning objectives 1. Understand the correspondence between two variables and initially form the idea of ​​​​functions. 2. Understand the meaning of the points on the image based on the specific situation. 3. Development comes from images..

File Info

Update Time: 2024-07-11

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

Preview