The study aimed to analyze the effect of the inquiry learning model on students' acquisition and improvement of mathematical critical thinking skills. The method used was a quasi-experiment with a pretest-posttest control group design, involving 68 students from X State High School 1 Pagai Utara Sletan (34 students in the experimental class and 34 students in the control class). Data were collected through a mathematical critical thinking ability test on trigonometric comparison material, then analyzed using a t-test with SPSS. The results showed p = 0.006, indicating a significant difference between the effects of the inquiry-based learning model and conventional learning on students' mathematical critical thinking skills. Furthermore, the n-gain analysis showed p = 0.004, indicating that both the inquiry-based learning model and the conventional learning model influenced improvements in students' mathematical critical thinking skills. These findings demonstrate that the inquiry-based learning model is more effective in developing mathematical critical thinking. This study recommends the implementation of inquiry as an alternative learning strategy, particularly for mathematics topics requiring in-depth analysis.
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