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This research aims to determine the positive and significant relationship between the Based Learning Model and the Learning Activeness of PAK class XI students at SMK Negeri 1 Siborongborong for the 2023/2024 academic year. The method used in this research is a descriptive quantitative research method. The population is all students of class The instrument for this research is a closed questionnaire. The instrument for this research is a closed questionnaire. From the results of the calculation of the positive relationship test, it is obtained that the rcount value is rcount=0.566> rtable=0.344, thus it is known that there is a positive relationship between variable which is significant between variable

This research is based on the problems found based on the results of interviews with mathematics teachers and students at SMPN 1 Lareh Sago Halaban that the media used in the learning process only uses the blackboard with lecture and discussion methods, there is no technology-based learning media, especially educational games that are used by teachers to students related to mathematics lessons caused a lack of interest and activeness of students in mathematics subjects. Based on this, the solution given is to design a learning media. The purpose of this research is to produce learning media products in the form of educational games with the help of software Building 2 mathematics subjects at SMPN 1 Lareh Sago Halaban. The design of mathematics education games uses the construct 2 design application at SMPN 1 Lareh Sago Halaban with the Research and Development (R&D) research method using the MDLC (Multimedia Development Life Cycle) development model from Luther Sutopo the development model is explained in 6 stages, namely Concept, Design, Materials Collection, Assembly, Testing and Distribution. The product test used in the research is the validity test, practicality test, and effectiveness test. The product test results show that the educational games designed are valid, practical and effective. For the results of the validity test of three validators, the score was 0.88, the practical test by 3 practi- tators was 0.97, and the effectiveness test of twenty people was 0.92.