Spark PILOT 2017 [Kumon Oak Bay Victoria] Spark PILOT 2017 [Kumon Oak Bay Victoria] | Page 21

S PA R K M a g a z i n e | P I L O T 2 0 1 7 21 A WORLD OF NUMBERS Kevan Gentle, Toronto Central Field Team Learning attitude, a facet of the “just-right” level of study for any Kumon student, brings with it a unique and powerful tool: curiosity. In the Kumon Math Program we concentrate on the fundamentals and the mechanics, so many students, upon mastering the learning focus, fi nd themselves hungry to learn more about the topic beyond the aims of the level. Instructors also have a profound opportunity to plant the seed of curiosity in their students and foster a deeper understanding of the content. Not only does this satisfy the common question “Why am I learning this?” but it also instills the idea that advanced study can lead to a greater understanding of the world around us, preparation for future career and academic paths, and above all an even greater curiosity that applies to all aspects of life. It could be interesting to research the level as a student begins in order to cultivate that curiosity and generate ongoing excitement about higher-level math! Let’s take a look at a few of the more advanced concepts in the math program, and how they relate to the world around us. APPLICATIONS IN THE MATH PROGRAM KUM O N ST U DI E S 28 to improve the mind, we ought “ In less order to learn, than to contemplate. ” Refer to L 180a, where we solve the maximum height using this equation. —René Descartes Although equations related to the force of gravity are somewhat rare in the Kumon Program, the link between a baseball being struck and the arc of a negative parabola is an idea to which most students can relate. Quadratic Functions (Levels I- L) What do baseball, bungee jumping, and bobsled all have in common? Gravity. The vast majority of sports and athletic endeavours relate extensively to gravity. Derived from Sir Isaac Newton’s second law (F= ma), a gravitational relationship is best described quadratically by a basic formula: a = – 4.9t 2 + vt + h, where a is altitude, v is velocity, t is time, and h is starting height. The value of 4.9 is exactly half of the gravitational constant, g, rounded off to 9.8m/s 2 . VOICES SUMMER 2014 Trigonometry (Levels M, N, O) Did you know that Mount Everest, the highest point on Earth, is rising by 1/3 of an inch every year? How does one measure the highest point on Earth? Measuring tape only goes so far. This type of measurement is typically done using trigonometry. A surveyor will use an instrument called a sextant to calculate the angle of a skyscraper or mountain