Learning Trajectory of Trigonometric Ratios Applying Realistic Mathematics Education

Trigonometry materials are still considered complex materials at the secondary level.
It is necessary to design an appropriate learning trajectory for trigonometric ratios so that the
students can quickly build the concept. This study aims to design a learning trajectory for
trigonometric ratio material through Realistic Mathematics Education (RME). This study uses a
research design involving 10th-grade high school students in Bandung City in the 2023-2024
academic year. The research data was collected through data collection using written test
instruments, student worksheets, observations, interviews, and documentation. The results of the
study showed that the trigonometric ratios learning trajectory consisted of raffia stretching
activities from the table base to the student's head, measuring the student's height and shadow,
experimenting with making three right triangles from paper, observing a picture of a calendar in
the form of an equilateral triangular prism, observing a bed or bunk bed, and observing a
picture of a skier going down an iceberg. Students can quickly build the concept of trigonometric
ratios from several activities provided. In addition, various learning flows from various activities
make it easier for students to build knowledge about trigonometric ratios and solve problems
presented contextually.
Keywords: Learning Trajectory, Trigonometric Ratios, Realistic Mathematics Education