This activity focuses on the following Three Dimensional Learning aspects of NGSS: Use a computer simulation to model the impact of proposed solutions to a complex real-world problem with numerous criteria and constraints on interactions within and between systems relevant to the problem.Ĭlick to view other curriculum aligned to this Performance Expectation Verify terms of sequence using measurement by robot motion.Illustrate Fibonacci sequence using LEGO EV3. ![]() This activity builds upon students' innate fascination with robotics, exposing them to the notion of sequences and developing their critical thinking skills.Īfter this activity, students should be able to: Thanks to engineers, robots have migrated from factory shop floors (as industrial manipulators) to outer space (as interplanetary explorers), hospitals (as minimally invasive surgical assistants), homes (as vacuum cleaners and lawn mowers), and battlefields (as unmanned air, underwater, and ground vehicles). The Fibonacci sequence is also the basis for the golden ratio, which is a classical proportion used in architecture and design. The Fibonacci sequence can be seen in nature in the spirals of a sunflower's seeds and the shape of a snail's shell. The Fibonacci sequence is widely used in engineering applications including computer data structures and sorting algorithms, financial engineering, audio compression, and architectural engineering. This engineering curriculum aligns to Next Generation Science Standards ( NGSS). To program the robot to move according to these numbers, students break down the sequence into simple algebraic equations so that the computer can understand the Fibonacci sequence. By designing a robot that moves based on the Fibonacci sequence of numbers, they can better visualize how quickly the numbers in the sequence grow. Within teams, students are assigned roles: group leader, chassis builder, arm builder, chief programmer, and Fibonacci verifier. These numbers, 34 and 21, are numbers in the Fibonacci series, and their ratio 1.6190476 closely approximates Phi, 1.6180339.įollow our Number Sense blog for more math activities, or find a Mathnasium tutor near you for additional help and information.Using the LEGO® EV3 robotics kit, students construct and program robots to illustrate and explore the Fibonacci sequence. The DNA molecule measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral. DNA moleculesĮven the microscopic realm is not immune to Fibonacci. When a hawk approaches its prey, its sharpest view is at an angle to their direction of flight - an angle that's the same as the spiral's pitch. And as noted, bee physiology also follows along the Golden Curve rather nicely. Following the same pattern, females have 2, 3, 5, 8, 13, and so on. Thus, when it comes to the family tree, males have 2, 3, 5, and 8 grandparents, great-grandparents, gr-gr-grandparents, and gr-gr-gr-grandparents respectively. Males have one parent (a female), whereas females have two (a female and male). ![]() In addition, the family tree of honey bees also follows the familiar pattern. The answer is typically something very close to 1.618. The most profound example is by dividing the number of females in a colony by the number of males (females always outnumber males). ![]() Speaking of honey bees, they follow Fibonacci in other interesting ways.
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