Webinars SET B - Grades 7-8 - Sunday@4:30pm EST-Webinar 3 Recording

Video Transcription

Video Summary

In this webinar on number theory, the host engages participants with interactive problem-solving exercises. The session begins by warming up with a simple problem, highlighting smart strategies in choosing answers based on observation rather than exhaustive calculation. Following this, various math problems are tackled, including identifying palindromes, finding percentages of numbers, and using properties of squares and cubes. The host emphasizes the importance of understanding and applying basic mathematical laws—like divisibility rules, properties of exponents, and types of numbers (even, odd, rational, integers, and irrational). Several example problems illustrate the practical application of these principles. <br /><br />Rather than focusing solely on complex calculations, the host suggests strategic thinking, such as using patterns or considering simpler case studies to infer general solutions. For instance, participants are encouraged to adapt large numerical calculations to practical examples when faced with daunting powers like 2013 to the 6th power, using the simpler base of 2 or 3 to explore patterns.<br /><br />Participants actively share and debate solutions, reflecting real-time collaborative learning. This session recognizes the balance between quick, intuitive problem-solving and the need for careful, systematic analysis, thereby nurturing critical thinking skills among participants and enhancing their number theory proficiency.

Keywords

number theory

interactive exercises

problem-solving

mathematical laws

divisibility rules

strategic thinking

collaborative learning

critical thinking

palindromes

properties of exponents