# 究極の立体＜展開＞

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● The second edition of the definitive junior high school entrance exam preparation series created by a team of educational app developers with 1 million users!
● Analyzed 10 years of past questions from famous schools and carefully selected 100 questions!
● Master the frequently appearing field of junior high school entrance exams, ``development diagrams''!

◆What kind of teaching material is the ultimate three-dimensional ?

This is a teaching material app that contains 100 questions on ``deployment diagrams'', a frequently-occurring area in mathematics for middle school entrance exams, and allows you to learn through animations of the development diagrams being assembled and easy-to-understand explanatory illustrations.
We have condensed the know-how on app teaching materials of Hanamaru Lab, which develops the thinking ability development app ``Think Sync'' with 1 million users, and the knowledge of junior high school entrance exam guidance from the famous cram school ``Hanamaru Gakushukai''. Cultivate a sense of imagining a three-dimensional object.
We analyzed the development diagram questions that were actually asked in the junior high school entrance exam math over the past 10 years, and included 100 questions covering patterns.

◆Why is the “development diagram” important?

- Fields where there is no clear solution. Image power is the key to strategy!
There is no clear solution for three-dimensional development diagrams, and the power of imagination is what matters. In actual junior high school entrance exams, questions are often asked as big questions (*), and if you can't imagine a three-dimensional image, there are many cases where you fail all the big questions. In this field, the key to success is how smoothly you can visualize the three-dimensional structure that will be assembled from the developed diagram.
(*) Middle school entrance exam mathematics often consists of 4-7 large questions, and each large question usually has 3-5 sub-questions.

- It's hard to get an image from a blackboard or paper!
Like 3D cutting, it is a difficult field to acquire as it requires advanced spatial awareness and image manipulation skills. On a blackboard or on paper, it is extremely difficult to imagine the three-dimensional structure that will be assembled from the development diagram, and this is a source of trouble for many test takers. In order to get an idea, the best training is to actually assemble it, but if you draw a diagram on paper and then assemble it every time, that alone will consume a huge amount of effort and time.

- Great results without taking much time!
Through animations and illustrations, you can repeat image training in a short period of time, and also master the concept of area and volume calculations that are common to all three-dimensional problems. Rather than unnecessarily increasing the number of questions, it carefully selects and records the 100 questions necessary for mastering, so it is an app that can be tackled even just before junior high school entrance exams, making it a powerful ally for examinees. In the second half, we have prepared challenging questions that go beyond the junior high school entrance exam level, so you can acquire advanced spatial awareness and image manipulation skills just by having fun solving them.

◆“Six basic shapes” that make up a solid

Even complex solids can be easily solved by dividing them into six basic shapes (triangular prism, triangular pyramid, square prism, square pyramid, cylinder, and cone).
This method can also be applied to 3D geometry problems other than developed diagrams, so this app can also be used to solve quadrature problems in the 3D geometry field.

◆Purpose of this teaching material
Based on our representative Kawashima's experience teaching junior high school entrance exams, we focused on the field of 3D shapes, which, despite being frequently used, is difficult for children to visualize and feel dynamic when taught on a blackboard or in one-on-one analog instruction.
In the "Ultimate 3D" series, we take advantage of the characteristics of the app to recreate 3D objects as if you were holding them in your hands. As a result, you can acquire essential ways of thinking that cannot necessarily be acquired by doing a large number of similar problems on paper such as drills and problem sets. As you enjoy solving each question in this app, you will naturally develop your spatial awareness.

◆How to use
・Select the problem you want to play from the problem selection screen.
・From the 6 buttons (6 basic shapes) on the right side of the play screen, select the one that applies to the square at the bottom of the screen.
・When all squares are filled, press the GO button.
・Every time you finish solving one question, you will be able to play the next one.

https://expansion.ultimate-math.com/pdf/terms_of_service_exp.pdf

https://expansion.ultimate-math.com/privacy_policy.html
Updated on
Feb 26, 2024

## Data safety

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