"Function" PPT download

Description

"Function" PPT download

Part One: Learning Objectives

1. Combine with rich examples to enable students to understand the meaning of independent variables and functions in specific situations.

2. Combined with examples, have a preliminary understanding of the representation methods of the three functions: numerical tables, images, and expressions.

Focus: Understand the meaning of functions

Difficulties: the abstraction of function concepts and the formulation of functional formulas.

Self-learning

1. Self-study textbook, pages 63 to 64.

2. Initial feeling: In the same problem, when one of the quantities changes, the other one also changes.

Function PPT, part 2: give it a try

1. How many variables are there in each of the following questions? Can you think of one of the variables as a function of the other? Why? If so, please write down their relationship.

(1) Each student buys an algebra book. The unit price of the book is 2 yuan, so x students pay a total of y yuan.

(2) If you plan to buy 50 yuan of table tennis balls, the relationship between the total number of purchases y (pieces) and the unit price x (yuan).

(3) The volume of a copper ball at 0°C is 1000cm3. For every 1°C increase in temperature after heating, the volume increases by 0.051cm3. The volume of the ball at t°C is Vcm3.

Function PPT, the third part: cooperation and communication

In the above problems, point out the variables respectively, and explain whether in the same problem, when one of the quantities changes, the other quantity also changes accordingly. When one of the quantities takes a certain value, the other Whether to set a value accordingly.

Generally, there are two quantities in a change process, such as x and y. If there is a unique value of y for every value of x, y is called a function of x.

Independent variable: It means that within its value range, it can take whatever value it wants freely and freely. I think this concept is appropriate enough.

Dependent variable: The word "cause" refers to the change in x, which is obtained through a certain relationship.

In ①, t is the independent variable and s is the dependent variable.

In ②, v is the independent variable and s is the dependent variable.

In ③, h is the independent variable and Q is the dependent variable.

In ④, r is the independent variable and S is the dependent variable.

In ⑤, t is the independent variable and T is the dependent variable.

Function PPT, Part 4: Classroom Exploration

Research 1

A car is traveling at a speed of 40 kilometers/hour. Write down the relationship between the distance traveled s (kilometers) and the travel time t (hours). S=40t

A car travels for 5 hours. Write the relationship between the driving distance s (kilometers) and the driving speed v (kilometers/hour) S=5V

Research 2

The area of ​​a circle increases as the radius increases. 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 area of ​​the circle when the radius is 1 cm, 1.5 cm, 2 cm, 2.6 cm, 3.2 cm, and fill in the results in the table below:

It can be seen from this that the larger the radius of a circle, its area is ________.

Notice

1. There are two variables in a change process.

2. There is a corresponding relationship between the dependent variable and the independent variable, and it is required that for each value of x, y has a unique value corresponding to it.

3. The independent variable has a certain value range;

4. Independent variables and functions can be converted into each other and are relative, but generally it is agreed that y is a function and x is an independent variable;

practice

One, are these functions? Please explain the reason.

|y|＝x+1,

Y=x2＋4x+12

y2＝x

2. Point out the independent variables, dependent variables, constants, and functions in the following expressions.

(1)C=2πr(r≥0),

(2)s=60t(t≥0),

(3)S=(n-2)×180.

Function PPT, Part 5: Expanding Thinking

Cylindrical objects, such as bottles or cans, are often arranged as shown. Think about it:

(1) Keep going, what variables do you know?

(2) If the number of layers is n and the number of objects is s, can you write the functional relationship between s and n? What is the value range of the independent variable n?

(3) Find the function value of s when n=6, 7, and 10 respectively.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, function PPT download, .PPT format;

For more information about the "Function" PPT courseware, please click the "Function ppt" tab.

"End of Chapter Review Lesson" Function PPT:

"End of Chapter Review Lesson" Function PPT Question Type Exploring Finding the Domain of a Function [Example 1] (1) Find the domain of the function y=5-x+x-1-1x2-9; (2) Fold the wire of length a To form a rectangle, find the analytical formula of the rectangular area y with respect to the side length x, and write down the definition of this function..

"End-of-Chapter Review Improvement Course" Function PPT:

"End of Chapter Review and Improvement Course" Function PPT Part One: Comprehensive improvement of the domain and value range of functions (1) The domain of function f(x)=3x21-x+(3x-1)0 is () A.-, 13 B.13, 1 C.-13, 13 D.-, 1313, 1 (2) The known function y=f(..

"Mathematical Modeling Activity: Determining the Best Selling Time for Apple" Function PPT:

"Mathematical Modeling Activity: Determining the Best Sales Time for Apple" Function PPT Part One Content: Learning Objectives 1. Understand the concepts and properties of several common function models. (Difficulty) 2. Can analyze specific practical problems and model to solve practical problems. (emphasis,..

File Info

Update Time: 2024-09-30

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 2 industry PPT template

Preview