P5 Open Class Recap: Tackling Circle Problems with Tr. Shane
This Saturday, Tr. Shane conducted an open class for P5 students on the topic “Circle Problems.”
Circle problems is a guaranteed topic in RMO and APMOPS for the past 3 years. Mastering these problems requires flexible thinking and precise problem-solving techniques.
01 Classroom Highlights
During the class, Shane guided students through three common types of circle geometry problems, helping them systematically tackle the circle-related questions often seen in RMO and APMOPS.
Question 1
Focused on teaching students how to calculate the areas of “corner” and “bow” shapes. Question 2
Explored how to find the area of a “leaf” shape by transforming it into two “bows.” Question 3
Applied the “whole minus blank” method in depth — identifying simpler shapes to represent the whole — and showed that even when only the straight segment length of a “bow” is known, its area can still be calculated. Question 4
Used the ideas of segmentation and completion, combining shaded parts together and then applying the “whole minus blank” approach to solve the problem.
The classroom atmosphere was lively, with students eagerly raising their hands and showing curiosity and enthusiasm for each problem. Through repeated practice and discussion, they gradually became familiar with the process of reasoning and logical thinking.
Tr. Shane continuously guided students throughout the class, using questions, explanations, and marking exercises to help them gradually grasp complex concepts, ensuring that every student kept up with the lesson.
After covering the main problem types, students took a short after-class test to review and consolidate what they had learned in class.
At the end of the lesson, Tr. Shane held one-on-one discussions to address individual doubts, helping students organize their thinking and consolidate what they had learned, bringing the class to a fulfilling conclusion.
02 About the Teacher
Tr. Shane Chang is a bilingual math educator from Taiwan. Tr. Shane is an idealistic and dedicated educator driven by a deep passion for learning and human connection. He combines scientific reasoning with creative thinking, making complex ideas engaging and relatable. His experience across teaching, research, and bilingual education reflects both discipline and innovation, defining him as a thoughtful, action-oriented individual committed to meaningful impact.
If you are interested in better understanding Tr. Shane's teaching style, check out these lessons he recorded on YouTube:
03 What's Next?
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