中学受験算数｜究極の平面図形＜相似・面積比＞

From the development team behind the 3 million-user educational app "ThinkThink," comes the definitive series for junior high school entrance exam preparation—the fourth installment!

- Analyzing 10 years' worth of past exam questions from prestigious schools, we've carefully selected 100 frequently appearing "similarity and area ratio" problems!

- Organizing geometric properties into "8 techniques," allowing you to naturally see the thought process.

- A new learning experience that fosters intuition and sparks insight, like a puzzle.

◆What kind of material is the ultimate plane geometry ?

In similarity and area ratio problems, the key to success lies in whether you can see the "thought process." This app allows you to naturally grasp the flow of thought by repeatedly experiencing simple solution steps.

Even complex problems are actually combinations of "geometric properties" and "laws of similarity." This app organizes this way of thinking into 8 "techniques," designed for gradual learning.


Problems that are difficult with paper and pencil become intuitive with taps, allowing users to experience the "satisfaction of insight" as they progress, much like clearing a game, naturally solidifying their understanding.

◆Why are "Similarity and Area Ratio" important?

—The cornerstone of plane geometry and a highlight of entrance exam mathematics
Similarity and area ratio are among the most frequently tested topics in junior high school entrance exam mathematics, and are crucial for differentiating students. While some students can instantly figure out the solution, others struggle, often losing their way and unsure where to focus their attention. Often presented as major questions, understanding the overall geometry and the order in which to consider each step are key to success.

—Experience the "thinking process" through this app

No matter how much practice you do, the difficulty of this topic lies in how even slight changes in shape can make the "similarity" disappear. This app deliberately limits the operation to simplicity, allowing users to learn the optimal timing for using "techniques" through experience.

As you solve the puzzles, your thought process and ability to choose the right "first move" will be honed.

—Mastering this will give you a significant advantage!

Because this is a field that many test-takers struggle with, a deep understanding will make a big difference.

Even problems involving similarity and area ratios, often considered to require "innate talent," become accessible to everyone with these eight techniques and strategic thinking. Mastering the most important areas of plane geometry will lead to both confidence and higher scores.

◆How to Use
- Select the problem you want to play from the problem selection screen.
- Select the appropriate technique from the eight buttons (eight techniques) on the right side of the play screen, corresponding to the squares at the bottom of the screen.

- Select the location to apply the technique from the displayed options.
- Clear the problem when all squares are filled.
- After completing one problem, the next problem will become playable.


◆Message from Kei Kawashima, CEO of WonderFi and Head of Curriculum Development

Japanese junior high school entrance exams in mathematics contain many excellent problems whose essence can be seen through careful reading and analysis. Engaging with such problems is a valuable experience that allows students to enjoy the act of thinking itself. However, in paper-and-pencil learning, it can be difficult to grasp what to focus on, and there are times when it seems to rely on "intuition."

Similarity and area ratios are particularly frequently tested topics in plane geometry and are highly important in entrance exams. The idea of ​​finding similar shapes and triangles with the same height, and combining them to derive ratios of lengths and areas, is essentially like solving a puzzle. On the other hand, because it involves simultaneously identifying multiple similar shapes, drawing auxiliary lines, and many steps, it can be a burdensome unit for many children.

In this app, we have organized the concepts of similarity and area ratios into eight techniques extracted from analyzing the past 10 years of entrance exam problems. We have minimized operations and removed unnecessary burdens so that important structures are naturally visible, allowing users to follow the flow of thought directly. This program allows students to experience the process of organizing similarity relationships and ratio connections, and developing a flowchart—a strategy for tackling problems—as if solving a puzzle.

Furthermore, we believe that the "attitude of combining evidence to arrive at a conclusion" acquired in this area is connected to the study of geometry and proofs in junior high school and beyond. Before memorizing formal notation, the experience of verifying for oneself what constitutes evidence and how it connects forms a crucial foundation for learning mathematics.

Similarity and area ratios are areas where understanding greatly improves once students grasp the key points and can see the "path of thought." This program was developed with the aim of ensuring that children's limited learning time leads to solid understanding and a positive sense of accomplishment.

●Terms of Use
https://similarity.ultimate-math.com/terms.html

●Privacy Policy
https://wonderfy.inc/policy/