"Constants and Variables in Life" PPT Courseware 2

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"Constants and Variables in Life" PPT Courseware 2

S=vt, V=1.5km/min

Question: From this process, you found out which quantities are fixed and which quantities are constantly changing?

In the process of calculating the total fare based on different number of people, which quantities are changing and which quantities are unchanged?

If there is a person in our class and the total ticket price is m yuan, then m=5a.

When a =_____ m=_____ yuan

When a =_____ m=_____ yuan

When a =_____ m=_____ yuan

First understanding of concepts

In a process, a fixed quantity is called a constant.

In a process, quantities that can take on different values ​​are called variables.

Small scale chopper

Indicate the constants and variables in the following events

⒈ Assuming that the wage standard for hourly workers is 6 yuan/hour, the relationship between the number of working hours t (hours) and the amount of wages m (yuan) is m = 6 t

The constant is ———————— and the variable is ——————.

⒉ The relationship between the circumference C of the circle and the radius r of the circle is C = 2πr, where the constant is —————— and the variable is ——————.

3. Each copy of a certain newspaper costs a yuan, and a total of y yuan is needed to purchase x copies of this newspaper. Then y = the constant in ax is __________ and the variable is ___________.

Reason: Constants are not necessarily specific numbers, they can also be represented by letters.

Can you solve it?

Classmate Chen said: I want to buy oranges that cost 6 yuan a pound.

Classmate Li said: I want to buy 5 pounds of oranges

Classmate Tang said: I want to buy oranges for 18 yuan.

Name the constants and variables in these three processes?

Total price = unit price × quantity

Reason one: Constants and variables are for a certain change process. They are not absolute but relative.

Challenge 100%

1. The relationship between the two acute angles ∠A and ∠B of a right triangle is _______, where the constant is _________ and the variable is _________.

2. The relationship between the speed v (m/s) of sound propagating in the air and the temperature t (.C) is v=331+0.6t,

The constant is————————and the variable is——————.

3. According to scientific research, the daily sleep time H (hours) required by people aged 10 to 50 can be calculated by the formula __________ (N is the person’s age), where the constant is _______________ and the variable is __________

Homework assignment:

1. Must-do homework: homework book

2. Optional homework: Please search for information through newspapers, magazines, the Internet, etc., write a short article involving a large amount of information, find out the constants and variables, and communicate with your peers.

Reason:

1. What are constants and variables?

2. Letters can represent constants.

3. Constants and variables are relative to a process.

constant math variable math

Be good at looking at problems from a mathematical perspective.

Good at discovering invariants in change.

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"Constants and Variables in Life" PPT courseware The smart crow realizes: 1. The size of the mouth of the bottle cannot be changed, and neither can the amount of water; 2. But the height of the water in the bottle can be changed, and the more stones you throw, the higher the height. If there are more, the water surface will be higher. When we analyze it from a mathematical point of view...

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Update Time: 2024-11-01

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 1 industry PPT template

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