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Webinars SET A - Grade 5-6 - Sunday@4:30-5:30pm ES ...
Recording Webinar 10 - Combining Tools
Recording Webinar 10 - Combining Tools
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Video Transcription
Video Summary
This webinar, the 10th in a Level 5-6 series, concludes before the winter break, with a new set of 10 lessons starting in January. The central theme is integrating multiple problem-solving tools—including algebra, geometry, ratios, multiples, and logical reasoning—to tackle multi-step mathematical challenges, as used in contests like Math Kangaroo.<br /><br />The session begins with a warm-up problem involving stools and chairs with various leg counts summing to 17 legs, demonstrating combining multiples and logical reasoning to find the correct number of chairs.<br /><br />Next, problems explore ratio and proportions with timing tasks, properties of triangles applying the triangle inequality theorem, and geometric analysis employing patterns and the Pythagorean theorem to solve distance questions involving snails moving on a grid.<br /><br />Further challenges include calculating paint needed for unit cubes derived from a larger painted cube, using volume and surface area formulas, and dissecting number theory problems about grouping number cards to equalize sums, employing both brute force and logical deduction.<br /><br />The lesson on tiling shows how to form squares using L-shaped pieces, reinforcing concepts of area, square numbers, and spatial reasoning.<br /><br />Complex perimeter problems with overlapping rectangles illustrate careful analysis of geometry and center placements.<br /><br />The instructors emphasize thorough problem comprehension, planning—including combining learned techniques—systematic work showing all steps, and verification of answers. They encourage using multiple strategies, guessing when unsure, and studying regularly to retain skills in preparation for the March contest.<br /><br />A survey is invited for feedback, offering a raffle prize of private tutoring. The team looks forward to teaching the new, slightly more advanced Set B lessons starting in January.
Keywords
multi-step math problems
algebra
geometry
ratios and proportions
logical reasoning
Math Kangaroo contest
triangle inequality theorem
Pythagorean theorem
number theory
problem-solving strategies
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