● The first definitive series of junior high school entrance exam measures by the educational app development team of 1 million users!
● Analyzing past questions from famous schools for 10 years and carefully selecting 100 questions!
● Master the "three-dimensional cutting" field that frequently appears in junior high school entrance exams!
◆ What kind of teaching material is the ultimate solid ?
It is a teaching material application that records 100 problems of "three-dimensional cutting", which is a field where the number of junior high school entrance exams frequently appears, and you can freely rotate the reproduced solid and learn while cutting.
The know-how for the app teaching materials of "Hanamaru Lab", which develops the thinking ability development app "Think Think" for 1 million users, and the knowledge of the junior high school examination guidance of the famous cram school "Hanamaru Study Group" are condensed to make a three-dimensional cut. Foster a sense of "imagining the cut" in the problem.
We analyze the problems of 3D cutting that were actually asked in the junior high school entrance exam calculation for the past 10 years, and record 100 questions that cover the patterns.
◆ Why is three-dimensional cutting important?
――Frequent fields of junior high school entrance exams. Accurate drawing of the cross section is essential!
Cutting three-dimensional objects is a frequent and important field in junior high school entrance trial calculation. Questions are often asked as big questions, and if the cut surface cannot be drawn accurately, there are many cases where all the big questions are dropped. Being able to accurately image and draw a cross section is a major premise for tackling a problem.
――It's hard to wear on a blackboard or paper!
It has been said that it is difficult to take measures against three-dimensional cutting because advanced spatial recognition and image manipulation capabilities are required. No matter how much you learn on a flat surface such as a blackboard or paper, even if you feel like you understand it at that time, in many cases you will not understand it at all if the angle changes or the cutting point changes. Many households have tried and errored, such as cutting vegetables and sponges at home, but with this method, it was difficult to reproduce complicated figures and cut surfaces, and it was not suitable for iterative learning.
――If you master it, it will be a big advantage!
The fact that many test takers are struggling despite their important fields is a great advantage if you master them. "Ultimate solid " realizes the three points of (1) moving the solid by yourself and cutting it, (2) repeatedly learning the frequently-appearing problems of carefully selected junior high school entrance exams, and (3) repeatedly learning according to the three principles. It is the only app that can specialize in 3D cutting with a completely different approach from learning so far.
◆ Three principles of three-dimensional cutting
1. "Same plane": "If there are two points on the same plane, the cut will always pass on the straight line connecting the two points. Therefore, points on the same plane can be connected.
2. "Parallel": When the faces are parallel, the cut lines made on each face are always parallel. Therefore, if a line has already been drawn on the surface B parallel to the surface A, a straight line can be drawn on the surface A through the point and parallel to the line of the surface B.
3. "Extension": By extending the line of the cut and the side of the solid, you can find the point where the cut passes outside the solid at the intersection. You can draw a line from the point you find using 1. "Coplanar" or 2. "Parallel".
◆ Purpose of this teaching material
The number of entrance exams for junior high school in Japan is full of wonderful and tasteful questions that ask for pure thinking and image skills.
Originally, we believe that the act of confronting and unraveling these problems should be an exciting experience with intellectual excitement.
On the other hand, because the required thinking ability and image ability are high, it is certain that the result of learning on paper or blackboard has tended to be "natural sense".
We hope that the number of entrance exams for junior high school will become a learning process with intellectual dynamism that anyone can work on with excitement. I made it a theme.
Because it is an app, you can reproduce it as if you were picking up a solid. While learning happily while rotating and cutting a perfectly reproduced solid, I became able to imagine any cut surface, reproduce, rotate, and cut the solid in my head without relying on technique or memorization. To go.
Being able to change what you are not good at leads to certain confidence for children, and I believe that the spatial cognition cultivated there will be a great asset beyond the framework of "study" even after taking the exam.
◆ How to use
・ From the question selection screen, select the question you want to play.
-By pressing each of the three buttons at the bottom right of the play screen (three-dimensional cutting principles) and tapping the surface you want to draw a line, you can draw a line only if the answer is correct.
・ When all the lines that make up the cut are drawn, the play result will be displayed.
・ After solving one question, you will be able to play the next one.