Oh my God, it was amazing! Did you know that kids who are a little behind in math don't actually have to spend a lot of money to go to tutoring classes? Just by sticking to these 17 "primary school application questions" and practicing every day, they can easily counterattack and get high scores!
These questions are the types that are used at any time in the exams for grades 1-6 of elementary school. What kind of interval questions, encounter problems, chickens and rabbits in the same cage, etc., sounds interesting, right? Don't worry, I'll give you a detailed analysis of a few examples, so that you can understand at a glance and practice it!
First, let's take a look at the "spacing problem". Xiao Ming had to walk 60 meters per minute from his home to school, and after walking for 5 minutes, he found that there were still 200 meters left. So, how many meters is the distance from Xiao Ming's house to the school?
This problem is actually very simple, as long as you understand the concept of "spacing", you can easily solve it. Xiao Ming walked for 5 minutes, 60 meters per minute, that is, 5 60 = 300 meters. Plus the remaining 200 meters, it is 300 + 200 = 500 meters. Therefore, the distance from Xiao Ming's house to the school is 500 meters.
Let's look at the "encounter problem". Xiao Hong and Xiao Ming set off from two places at the same time and walked towards each other. Xiao Hong walks 50 meters per minute, and Xiao Ming walks 60 meters per minute. They met after walking for 10 minutes, so how many meters was the distance between them?
It's a little more complicated, but if we understand what "encounter" means, we can solve it. Xiao Hong and Xiao Ming walked for 10 minutes, Xiao Hong walked 50 10 = 500 meters, Xiao Ming walked 60 10 = 600 meters. When they met, it means that the total distance traveled by the two of them is the distance between them, that is, 500 + 600 = 1100 meters. So, the distance between them is 1100 meters.
As a final example, let's take a look at the "chickens and rabbits in the same cage" problem. This is a very classic math problem and a very interesting one. There are chickens and rabbits in one cage, with a total of 30 heads and 80 legs. So, how many chickens and rabbits are there?
This problem requires us to apply some logical reasoning and algebraic knowledge. We have x chickens and y rabbits. Then, according to the problem, we can get two equations: x+y=30 (number of heads) and 2x+4y=80 (number of feet). By solving this system of equations, we can get x=20, y=10. So, there are 20 chickens and 10 rabbits in the cage.
Okay, let's show in detail the importance of mathematical thinking and how it works in real-world problems with a few concrete examples.
Example 1: Segmentation and combination.
Problem description: Red has 8 chocolates and she wants to divide them equally among her 4 friends. But she found that the chocolates were different in size, some big and some small. So, how should she distribute it to make sure that each friend gets the same amount of chocolate?
Mathematical Thinking Applications:
Analysis: First, Red needs to identify the essence of the problem, which is how to divide the different sizes of chocolate equally.
Strategy: She can adopt a "divide and combine" mindset. First, cut each piece of chocolate into a number of small pieces, making sure that each piece is about the same size. Then, recombine these pieces to make sure that each friend gets the same number of pieces.
Execution: In practice, Red may need to try and adjust several times to ensure that the distribution is fair.
Check: Finally, she needs to check if each friend gets the same number of chocolate nuggets to make sure the distribution is fair.
Thinking implications: This question shows how to solve a practical problem through the "split and combine" strategy in mathematical thinking. This way of thinking is not only common in mathematics, but is also widely used in everyday life and other subjects.
Example 2: Logical reasoning.
Problem description: Among Xiao Ming, Xiao Hong, and Xiao Liang, one is the class leader, one is a study committee member, and the other is a sports committee member. It is known that Xiao Ming is not the class leader, Xiao Hong is not a sports committee, and Xiao Liang said that he is a study committee. So, what are the roles of each of the three of them?
Mathematical Thinking Applications:
Analysis: First, we need to identify and understand the information in the question.
Strategy: Employ logical reasoning. Based on the information on the topic, we can draw the following conclusions: Xiao Ming is not the class leader, then Xiao Ming may be a member of the study committee or a sports committee; Xiaohong is not a sports committee, so Xiaohong may be the class leader or a study committee; Xiao Liang claims to be a member of the study committee, but this information needs to be further verified.
Execution: Let's start validating one by one. If Xiao Liang is a member of the study committee, then one of Xiao Ming and Xiao Hong must be the class leader, and the other must be a sports committee. But according to the topic information, Xiaohong cannot be a sports commissioner, so Xiaohong is the squad leader and Xiao Ming is a sports commissioner.
Check: Finally, we check if this answer meets all the conditions in the question. Indeed, Xiao Ming is a sports committee, Xiao Hong is the class leader, and Xiao Liang is a study committee member, meeting all the conditions.
Thinking Implications: This question shows how to solve practical problems through logical reasoning in mathematical thinking. Logical reasoning is not only common in mathematics, but also an important tool for solving various problems in everyday life.
Example 3: Spatial imagination.
Problem description: A cube is cut into 8 small cubes. If we rearrange these small cubes into a box, what is the length, width, and height of this box?
Look, aren't these problems interesting? Moreover, as long as we understand the essence of the problems and master the correct way to solve them, we can easily solve them. So, parents with children, hurry up and save these application problems! When it's okay, let your children practice more, improve their mathematical thinking, and their grades will definitely climb!
In closing, I would like to say that mathematics is not a boring subject, it is full of fun and challenges. As long as we dig into it with our hearts, we can find the fun in it. So, let's work together to make children fall in love with math and enjoy the joy that math brings!
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