APMOPS Open Class Recap: Learning Squares and Rectangles with Tr. Yu Xian

张涛老师

APMOPS Open Class Recap: Learning Squares and Rectangles with Tr. Yu Xian

     
On Sunday, August 24, Tr. Yu Xian conducted an APMOPS open class for P5 students at Kangaroo Study.     

   
The session focused on "Squares and Rectangles".This area of geometry frequently appears in competition problems and represents one of the core approaches in mathematical problem solving.
  

Lesson Walkthrough

Tr. Yu Xian delivered clear explanations and step-by-step analysis, guiding students from fundamental concepts towards deeper problem-solving strategies. The lesson was structured around four representative problems, each designed to highlight a critical skillset:
   

• Question 1: An introduction to finding area and perimeter without given values, requiring students to rely on formula relationships and logical deduction.
• Question 2: Application of algebra in solving area and perimeter change problems, encouraging students to translate geometry into equations.
• Question 3: A continuation and extension of algebraic applications, strengthening students’ ability to integrate algebra and geometry.
• Question 4: Pattern recognition in rectangular area problems, where students learned to identify recurring structures and summarise shortcuts for efficient solutions.
  

      
Throughout the session, Tr. Yu Xian engaged students with targeted questions, observed their thought processes closely, and provided timely feedback. This interactive approach not only reinforced conceptual understanding but also trained students to think critically and systematically.
   
This APMOPS open class equipped students with more than just problem-solving techniques. By combining conceptual clarity, algebraic reasoning, and pattern recognition, Tr. Yu Xian helped students build a stronger mathematical foundation. Instead of rote memorisation, students were encouraged to explore, reason, and discover — transforming challenging geometry problems into approachable and even enjoyable ones.

      
About the Teacher

Graduated with a major in Data Science and Analytics (BSc. Hons) from the National University of Singapore. Teacher Yu Xian has 7+ years of experience in teaching Maths and Sciences. An ASEAN Scholarship holder and Math Olympiad awardee, he has earned accolades such as SMO Silver and AMC Gold.
   
Currently serving as Kangaroo Study’s P5 InCharge, he specializes in guiding students in Math Olympiad preparation through encouraging curiosity and independent thinking.
   
Parent Feedback

After the class, many parents expressed that Tr. Yu Xian's explanations were clear, and allowed for their children to easily understand the materials and solve problems. Some also specifically mentioned the positive classroom atmosphere and how their children were already looking forward to learning from him in future sessions.
  
If you are interested in better understanding Tr. Yu Xian's teaching style, check out a lesson he recorded on YouTube:
Click to watch Tr.Yu Xian's YouTube video
   
P5 Semester 2 Class Schedule
  
P5 PSLE Semester 2 courses are still open for registration:
   
Course Registration Information
  
Before course registration, students are required to take an entrance test for our teachers to evaluate students' current level and the most suitable class.

The registration process is as follows:

• Schedule the Entrance Test
• Receive evaluation results and class recommendation
• Complete payment and confirm chosen time slot
  

  
To schedule the entrance test, please contact Tr. Meng via WhatsApp / WeChat:

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