Learning Trajectory on Learning Arcs and Tangent of Circle in the Context of the Rubber Fastening of Several Pipes

Abstract

Circles are material that is applicable in real life. We often encounter circular surface shapes, such as wheels, wall clocks, coins, and pipe surfaces. This research designs a learning trajectory regarding calculating arc lengths and tangents to circles formed by rubber used in packaging several identical and non-identical pipes through the application of learning using the Indonesian Realistic Mathematics Education (RME) approach. The method used goes through 3 phases, namely: (1) Experimental preparation; (2) Experiments in class; and (3) Retrospective Analysis. This design consists of five stages: (1) calculating the length of the rubber binding between the two pipes; (2) calculating the length of the three pipe rubber ties; (3) calculating the length of the four pipe rubber ties; (4) draw conclusions; and (5) Excercise. The results show that a formula has been found to calculate the length of rubber binding several identical pipes.