"Interesting Reasoning" Mathematics Fun PPT

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"Interesting Reasoning" Mathematics Fun PPT

Part One: Learning Objectives

1. Experience the process of reasoning and judging certain phenomena in life, and be able to conduct reasonable analysis of these phenomena.

2. Learn to reason using problem-solving strategies such as lists, attempts, operations, etc.

[Important and difficult points] Further improve students' reasoning ability and cultivate students' thinking flexibility.

Interesting reasoning PPT, part 2: introduction of new knowledge

Which interest group are they in?

The school has football, model aircraft and computer interest groups. Naughty, Xiaoxiao and Qisi respectively participated in one of the groups according to their hobbies. None of the three of them are in the same group.

1. Try to do it and communicate with your peers.

How to organize information?

Naughty is not from the computer team, he may be from the football or model airplane team. Xiaoxiao doesn’t like playing football, she may be... There is too much information, I am confused.

Method One: Direct Inference

The three of them participated in one of the groups respectively. From the picture, we can see that Qisi likes model airplanes, so he must be in the model airplane group; Xiaoxiao can only participate in the football group or the computer group, but Xiaoxiao doesn’t like playing football, so Xiaoxiao must be in the computer group. , the remaining naughties can only participate in the football group.

2. Draw a table to help record the information you know.

The list method can avoid some repeated operations, and it is easy to see conditions that are difficult to find, clarify ideas, and make problems clear. When solving reasoning problems, try to use the list method.

Interesting reasoning PPT, part three: classroom exercises

1. There are four layers of books on the bookshelf, and only one kind of book is placed on each layer. These four kinds of books are science and technology books, literary and artistic books, story books and comic books. The first layer is not placed on literary and artistic books and comic books. The third layer is not The first floor contains science and technology books, while the second floor contains non-literary books. Do you know how the books are arranged on the bookshelf?

2. The school offers three courses: Information Technology, Music Appreciation and Mental Health. Teacher Yang, Teacher Song and Teacher Gu each teach one of the courses. Teacher Yang is not an information technology teacher, and Teacher Song never provides psychological counseling in class. Gu The teacher uses piano in class. Do you know which class these three teachers teach?

From "Teacher Song never provides psychological counseling in class", it can be seen that Teacher Song is not a teacher who teaches mental health, but may teach music appreciation or information technology. Since "Teacher Gu uses piano in class", it can be seen that Teacher Gu teaches music appreciation, so Song The teacher teaches information technology, so Teacher Yang teaches psychological counseling.

3. Xiaogang, Xiaohong, Xiaoli, and Xiaoning are competing in a rope skipping competition. Xiaoning does not jump the most, but it is more than Xiaoli, and Xiaoli jumps more than Xiaohong. Please press them to skip the rope. Arrange the numbers in order from most to least.

From "Xiao Ning does not jump the most, but she dances more than Xiao Li, and Xiao Li dances more than Xiao Hong", we can know that these three people are Xiao Ning and Xiao Li in order of the number of skipping ropes from most to least. , Xiao Hong; from "Xiao Ning does not jump the most", we can know that Xiao Gang is the most, so they are arranged in order from the most to the least number of skipping ropes: Xiao Gang, Xiao Ning, Xiao Li, and Xiao Hong.

Interesting reasoning PPT, part 4: Class summary

In addition to the list method, there are other methods to solve reasoning:

(1) Direct reasoning and judgment. Directly use the known conditions contained in the question to draw correct conclusions through analysis, comparison, judgment, and reasoning.

(2) Elimination method. Eliminate conclusions that do not meet the requirements of the topic and retain reasonable conclusions until the desired question is deduced based on the conclusions.

(3) Hypothesis method. First assume that a certain situation is established, and use the conditions to reason. If the known conditions are inconsistent with the hypothesis, then the hypothesis is incorrect, thereby confirming that the opposite of the hypothesis is correct; if the known conditions are not inconsistent with the hypothesis, then the hypothesis is correct.

Interesting reasoning PPT, Part 5: Classwork

1. In the activity of learning from Lei Feng, four children in Class 3 (1) did 17, 23, 15 and 20 good deeds respectively. It is known that Xiao Liang does less than Xiao Hai, but does more than Xiao Zhong, Xiao Liang does less than Xiao Li, and Xiao Hai does more than Xiao Li. How many good things did each of the four of them do?

Xiao Zhong made 15 pieces, Xiao Liang made 17 pieces, Xiao Li made 20 pieces, and Xiao Hai made 23 pieces.

2. Xiao Ming, Xiao Gang, and Xiao Jun each like one of the following sports: Xiao Ming does not like shooting, Xiao Jun’s training venue is not on the track, and Xiao Gang likes to lift weights. What sports do the three of them like?

Xiao Gang likes to lift weights, Xiao Jun likes to shoot, and Xiao Ming likes to race.

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For more information about the "Fun and Interesting Reasoning in Mathematics" PPT courseware, please click the "Fun and Interesting Reasoning in Mathematics" PPT courseware.

"Interesting Reasoning" Mathematics Fun PPT Download:

"Interesting Reasoning" Mathematics Fun PPT Download Part One: Learning Objectives 1. Experience the process of reasoning and judging certain phenomena in life, and be able to conduct reasonable analysis of these phenomena. 2. Learn to use lists, attempts, operations and other problem-solving strategies...

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Update Time: 2024-09-07

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

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