This final project discusses various mixtilinear incircles and excircles related to the symmedian line of an arbitrary triangle. The symmedian is defined as the reflection of the median with respect to the angle bisector of a triangle, resulting in a proportional division of the triangle’s sides. The mixtilinear incircle is internally tangent to the sides of the triangle and the circumcircle,…
This final project discusses a development development of the mixtilinear ex- circle in the trisector of a triangle’s angle. A mixtilinear excircle is a circle that is tangent to the extensions of two sides of a triangle and is externally tangent to the circumcircle of the triangle. By constructing the angle trisectors of an arbitrary triangle, many mixtilinear excircles can be formed. The ma…
This final project discusses triangular fuzzy number linear programming using the simplex method and sensitivity analysis based on triangular fuzzy number operations. The objectives to be achieved are to calculate the number of produ- cts produced with fuzzy data and to be able to estimate the availability of raw materials in order to obtain maximum profit. The objective function coefficient, c…
This study aims to develop a teaching module based on Problem Based Learning (PBL) on the content of opportunities to facilitate the mathematical problem solving ability (KPMM) of phase E students. The research uses a development method with the 4D model which includes four stages: Define, Design, Develop, and Disseminate. The research was conducted at SMAN 12 Pekanbaru class 11 with a total o…
This study developed a mathematics teaching module based on the Discovery Learning model to improve students' mathematical problem-solving ability in the topic of matrices. The low level of students' mathematical problemsolving ability, particularly in the topic of matrices, served as the background for this research. The study refers to the ADDIE development model. The research instrument…
This project discusses the reserve full preliminary term endowment life insurance combined with joint life status. The reserve full preliminary term is a premium reserve calculation using the modified retrospektive reserve. The annual premium is affected by a single premium and annuities-due. The calculation reserve in this paper is based on Balducci’s assumption. Keywords: Retrospektive…
This final project discusses the fifth-order predictor-corrector method by mo- difying the integral limits from [tn, tn+1] to [tn−3, tn+1] for the Adam-Bashforth method and [tn−2, tn+1] for the Adam-Moulton method. This method combines the explicit Adam-Bashforth method as the predictor and the implicit Adam- Moulton method as the corrector. The results show that the numerical solution app…
The Lotka-Volterra model describes predator-prey interactions, which is then modified using the Holling type-III functional response by incorporating the phenomena of fear effect and prey refuge. In the studied model, three equili- brium points are obtained: the extinction equilibrium, which is a saddle point; the predator-free equilibrium, which can be either a saddle or a locally asymp- totic…
Penelitian ini dilatarbelakangi oleh pentingnya kemampuan komunikasi matematis peserta didik yang merupakan salah satu tujuan pembelajaran dalam kurikulum merdeka, namun faktanya KKM peserta didik masih rendah yang ditunjukkan oleh beberapa penelitian terdahulu dan proses pembelajaran belum efektif. Proses pembelajaran masih berpusat pada guru akibatnya pembelajaran belum maksimal dalam aktivit…
Latar belakang dalam penelitian ini adalah rendahnya tingkat kemampuan komunikasi matematis peserta didik. Penelitian ini bertujuan untuk menghasilkan instrumen asesmen tipe AKM untuk mengukur kemampuan komunikasi matematis peserta didik fase D pada materi PLSV dan PtLSV yang valid, reliabel, serta memiliki tingkat kesukaran dan daya pembeda yang baik. Instrumen asesmen adalah alat yang digun…
This _nal project discusses the dynamic behavior of the Lotka-Volterra predator- prey model inuenced by nonselective harvesting, fear e_ect, and partial closure for populations. Furthermore, it analyzes the equilibrium points and stability, _nding that the model has three globally asymptotically stable equilibrium points. Model simulation is carried out by illustrating the dynamics and stabilit…
Penelitian ini dilatarbelakangi oleh pentingnya kemampuan pemecahan masalah matematis (KPMM) dan masih terbatasnya media pembelajaran interaktif yang memfasilitasi KPMM siswa yang digunakan sebagai penunjang pembelajaran matematika. Berdasarkan hasil wawancara dengan guru matematika, diperoleh informasi bahwa sumber belajar yang digunakan oleh siswa yaitu buku paket dan powerpoint yang dis…
Misconceptions in chemistry learning on atomic structure material at SMAN 4 Pekanbaru. This study work for identify the concepts containing misconceptions and the sources contributing to these misconceptions in students regarding atomic structure material. Using a five-tier multiple choice, the research was conducted with 149 students from May to July 2024. The results showed that the overall r…
Latar belakang penelitian adalah rendahnya kemampuan berpikir kreatif matematis peserta didik, peserta didik belum diberikan latihan soal tipe open ended untuk peningkatan kemampuan berpikir kreatif matematis. Penelitian ini bertujuan untuk mengembangkan instrumen soal tes tipe open ended untuk mengukur kemampuan berpikir kreatif matematis pada topik teorema Pythagoras. Jenis penelitian ini ada…
Mathematical critical thinking ability is a critical skill for students to possess in order to solve increasingly complex daily life problems. Learners who possess strong mathematical critical thinking skills are able to analyze problems to determine the correct solution, thereby enabling them to draw conclusions and make decisions based on the information obtained. However, the importance of m…
This research is motivated by the importance of higher order thinking skills (HOTS) that students must have when studying mathematics because with these abilities, students can become successful individuals in facing the challenges of studying mathematics and in everyday life. Based on the results of the Indonesian Education Report, it shows that students' higher order thinking skills are still…
This research aims to comprehensively understand and describe the research results regarding the differences in the improvement of mathematical literacy skills and mathematical disposition of students who receive cooperative learning using the jigsaw model with the DI approach and students who receive regular learning. This research is a quasi-experimental study with a nonequivalent pretest-pos…
Mathematical critical thinking skills are the ability to think in solving mathematical problems that involve mathematical knowledge, mathematical reasoning and mathematical proof. Mathematical critical thinking skills are important for students to master, so that they are more skilled in constructing an argument, checking the credibility of sources, or making decisions. However, until now effor…
This research was motivated by the low mathematical communication skills of students. This is influenced by the lack of independent learning habits, limited learning resources, and the lack of variety in learning approaches. To overcome this challenge, learning strategies are needed that support mathematical communication skills, such as discovery learning. Therefore, this research aims to prod…
The ability to make mathematical connections is one of the skills needed in learning mathematics. The ability to make mathematical connections needs to be honed from an early age because mathematics lessons have many relationships and benefits with other fields. Mathematical connection skills are internal and external abilities that connect between mathematical topics, connect mathematics with …