"Preliminary Understanding of Functions" PPT courseware

Description

"Preliminary Understanding of Functions" PPT courseware

【Knowledge review】

1. The relationship between the perimeter c and the side length a of a square is __________________,

Where the constant is_____________ and the variable is_______________.

2. If r represents the radius of the circle and S represents the area of ​​the circle, then the following relationship is satisfied between S and r: S=__________. Using this relationship, try to find the radius of 1cm, 1.5cm, 2cm, 2.6cm, 3.2 cm is the area of ​​a circle, and fill in the results in the table below: It can be seen that the larger the radius of the circle, the area is ____.

learning target:

1. Through examples, further understand constants and variables, understand the definitions of independent variables and functions, be able to list the equivalent relationship between the two variables in the example, and then write simple functional relationship expressions.

2. Experience the process of abstracting functions from specific examples, and develop thinking skills such as observation, analysis, and abstract generalization.

3. Make students realize that mathematical knowledge comes from life, thereby realizing the necessity of learning functions and increasing their interest in learning mathematics.

[Question 1]: The diagonal length of a color TV screen is 34 inches. How many centimeters does it total? (Tip: 1 inch × 2.54 cm)

[Question 2]: If the diagonal length of a certain TV screen is x feet, converted to metric system it is y centimeters, try to write the relationship between y and x;

[Question 3]: In the relationship between y and x, which are the constants? What are variables?

[Question 4]: Tell me, how many inches and how many centimeters is your TV set at home?

[Question 5]: Through research, you will find what is the relationship between variables y and x?

expression:

If the functional relationship between one variable and another variable can be expressed by a mathematical formula, we call this mathematical formula the expression of the function.

Small scale chopper

1. If someone wants to process 100 parts within a specified time, then in the relationship between work efficiency µ and time t, which of the following statements is correct ( ).

A. The numbers 100 and µ are both variables. B. The numbers 100 and µ are both constants.

C.µ and t are both variables D.The numbers 100 and t are both constants

2. The train travels at a speed of 60 kilometers/hour. The relationship between the distance s (kilometers) it travels and the time t (hours) takes is ( ), the constant is ( ), and the variable is ( ).

3. When purchasing pencils with a unit price of 0.4 yuan, the relationship between the total amount y (yuan) and the number of pencils n (pieces) can be written as ( ), where y and n are ( ), and 0.4 is ( ).

4. In the function y=-3x +7, when x=2, the function value is ( )

A． 3B． 2C. 1 D． 0

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"Preliminary Understanding of Functions" PPT courseware 4:

"Preliminary Understanding of Functions" PPT Courseware 4 Learning Objectives 1. Combined with examples, know the meaning of independent variables and functions, and be able to distinguish independent variables and functions. 2. For a given function, be able to find the value of the function based on the value of the independent variable . [Learning Key Points and Difficulties] Key Points: Right...

"Preliminary Understanding of Functions" PPT courseware 3:

"Preliminary Understanding of Functions" PPT courseware 3 Knowledge point review: Knowledge point 1: Use letters to represent numbers. Using letters to represent numbers can concisely express _____ and ________, thus making it easier to describe and research problems. Note: (1) When multiplying letters by letters...

"Preliminary Understanding of Functions" PPT Courseware 2:

"Preliminary Understanding of Functions" PPT Courseware 2 [Knowledge Review] 1. The relationship between the perimeter c and the side length a of a square is _________, where the constant is ____________ and the variable is ____________. 2. If r is used to represent a circle Radius, S represents the area of ​​the circle, then...

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Update Time: 2024-07-03

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

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