"Preliminary Understanding of Functions" PPT Courseware 4

Description

"Preliminary Understanding of Functions" PPT Courseware 4

learning target

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, the value of the function can be found based on the values ​​of the independent variables.

[Learning Key Points and Difficulties]

Key Point: For a given function, the value of the function can be found based on the values ​​of the independent variables.

Difficulty: correctly distinguish independent variables and functions.

Self-learning

Independent study textbook 124 pages (small information), complete the following questions:

1: The diagonal length of a color TV screen is 34 inches. How many centimeters does it equal? (G1)

2: How many inches is your TV? How many centimeters is it? (G2)

3: 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; (G3)

4: In the relationship between y and x, which one is a constant? What are variables? The value of y is determined by the value of which variable? (G4)

5: What relationship will you find between variables y and x? (G5)

Variable y and variable x are dependent on each other. Every time an x ​​value is determined, a y value can be determined.

Exchange and discussion

Read the color block section on page 124 of the textbook and answer the following questions: (G6)

The concept of function: In the same change process, there are two variables x and y. The value of variable y is uniquely determined by the value of variable x. We call the function of ________, where ____ is called the independent variable. In the above example, when x=34, the value of y is 86.36, so 86.36 is called the function value when x=34. Y=2.54x is called a function expression.

Precautions

1. There must be two variables

2. Every time the independent variable takes a value, the function has a unique corresponding value.

3: The positions of y and x cannot be reversed.

Learning summary

Function concept:

In the same change process, there are two variables x and y. The value of variable y is uniquely determined by the value of variable x. We call the function of ____________, where ____ is called the independent variable. Can you give an example?

Written assignments (textbooks)

Required questions P126 Exercise 5.5 Questions 1 and 2

Optional questions P126 Exercise 5.5 Question 3

after class homework

56 pages of supporting exercise book

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"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...

"Preliminary Understanding of Functions" PPT courseware:

"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 is used to represent the radius of a circle , S represents the area of ​​the circle..

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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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