"Stability of Frequency" Probability Preliminary PPT Teaching Courseware

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"Stability of Frequency" Probability Preliminary PPT Teaching Courseware

Part One: Learning Objectives

Understand the concept of frequency. (Key point)

Understand that the frequency of random events is stable when the number of trials is large. (Difficulty)

Frequency Stability PPT, Part 2: Knowledge Review

1. The following events: ① Turn to a certain page of a book at random, and the page number of this page is an odd number; ② The highest temperature on a certain day is measured to be 100°C; ③ Roll a dice, the number on the upward side is 2; ④ Measure a triangle The sum of interior angles, the result is 180°. Among them, the random event is ________(fill in the serial number)

2. Throw an even die. If the number that comes up for the first five times is exactly 1 to 5, then the number that comes up for the sixth time will be ()

A. Must be 6

B． The possibility of being 6 is greater than the possibility of being any number from 1 to 5

C． Definitely not 6

D． The possibility of being 6 is equal to the possibility of being any number from 1 to 5

Frequency Stability PPT, Part 3: Introduction of New Lesson

Xiao Ming and Xiao Li are playing the thumbtack tossing game.

Throw a thumbtack and it will

There are two situations: the nail tip is pointing up, and the nail tip is pointing down. Do you think it is equally likely that the nail tip is pointing up and the nail tip is pointing down?

My intuition tells me that if I throw a thumbtack at random, the probability of the pin pointing up is different from that of pointing down.

My intuition is the same as yours, but I don't know if it's right.

Let us verify it through experiments!

Frequency Stability PPT, Part 4: Collaborative Exploration

Do it

(1) In pairs, play the thumbtack throwing game 20 times and record the data in the table below:

Frequency: In n repeated tests, event A occurs m times, then the ratio m/n is called the frequency of event A.

(2) Accumulate the results of Experiment 2 of the whole class, and summarize the experimental data into the following table:

(3) Complete the following line chart based on the above table:

(4) Xiao Ming played a total of 400 thumbtack throwing games, recorded the results of the game, and drew the following line statistical chart. Observe the changes in the frequency of the pin tip pointing upward.

Frequency Stability PPT, Part 5: Knowledge Explanation

When the number of trials is large, the frequency of the nail tip pointing upward will swing around a constant, that is, the frequency of the nail tip pointing upward is stable.

Discuss

(1) Through the above experiment, do you think the probability of the nail pointing upward is as likely as that of the nail pointing downward? how do you think?

(2) Xiao Ming and Xiao Li did 1,000 thumbtack throwing experiments, and 640 of them were pointed upward. Based on this, they believe that the possibility of the nail pointing upward is greater than the possibility of the nail pointing downward. Do you agree? Their statement?

Frequency Stability PPT, Part Six: In-class Training

1. There are a total of 60 red and white glass balls in an opaque cloth bag, which are exactly the same except for the color. After many ball-touching experiments, Xiao Ming found that the frequency of touching red balls was stable at about 25%, so the red ball in the pocket may have ()

A. 5 B. 10 c. 15 D. 45

2. Do repeated experiments: Throw the same beer bottle cap 1,000 times, and the frequency of "convex surface upward" is calculated to be about 0.44. From this, we can estimate that the frequency of "concave surface upward" when throwing this beer bottle cap is about ()

A. 0.22 b. 0.44 C. 0.50 D. 0.56

3. In order to see how often the thumbtacks hit the ground after they hit the ground, Xiao Ming did a lot of repeated experiments and found that the number of times the thumbtacks hit the ground was 40% of the total number of experiments. Which of the following statements is wrong ()

A. The frequency of nail tip hitting the ground is 0.4

B. As the number of tests increases, the frequency of nail tip landing stabilizes at around 0.4

C. The frequency of nail tip pointing upward is about 0.6

D. After the first 20 tests, the number of times the nail tip touches the ground must be 8 times

Frequency Stability PPT, Part 7: Class Summary

1. In n repeated tests, event A occurs m times, then the ratio m/n is called the frequency of event A;

2. When the number of trials is large, the frequency of random event A will swing around a constant, that is, the frequency of random event A is stable.

Frequency Stability PPT, Part 8: In-person Testing

A forestry department wants to examine the transplant survival rate of a certain sapling under certain conditions. What specific methods should be adopted?

Under the same conditions, transplant a large number of such saplings and count the survival status, and calculate the survival frequency. If as the number of transplanted trees increases, the frequency becomes more and more stable at a certain constant, then this constant can be used as an approximation of the survival rate.

Keywords: Free download of Beijing Normal University version of seventh grade mathematics volume 2 PPT courseware, frequency stability PPT download, probability preliminary PPT download, .PPT format;

For more information about the "Stability of Probability Preliminary Frequency" PPT courseware, please click the Stability of Probability Preliminary PPT Frequency PPT tab.

"Stability of Frequency" Probability Preliminary PPT Download:

"Stability of Frequency" Probability Preliminary PPT Download Part One Content: Learning Objectives 1. Through the activities of tossing thumbtacks and coin toss, experience the process of guessing, testing, collecting test data, analyzing test results, etc. to initially understand the relationship between frequency and probability. 2. Through Experiment with feelings..

"Stability of Frequency" Probability Preliminary PPT:

"Stability of Frequency" Probability Preliminary PPT Part One Content: Teaching Objectives 1. Through the activities of tossing thumbtacks and coins, you will experience the processes of guessing, experimenting, collecting test data, and analyzing test results, and gain a preliminary understanding of the relationship between frequency and probability. 2. Through experiments, I feel...

"Stability of Frequency" Frequency and Probability PPT Courseware 4:

"Stability of Frequency" Frequency and Probability PPT Courseware 4 Review and Thoughts 1. Give an example of what an inevitable event is. 2. Give an example of what an impossible event is. 3. Give an example of what an uncertain event is. Introduction to the problem Toss a uniform coin. The coin...

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Update Time: 2024-07-06

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

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