The development of triangular fuzzy numbers is pentagonal fuzzy number. Various alternatives have been presented by outhors regarding the aritmetic of pentagonal fuzzy numbers. Including arithmetic addition, substraction, scalar multiplication, division and also inverse. Particularly for addition, substraction and scalar multiplication there is no enormous diverse. However, for arithmetic …
This thesis discusses regarding inverse and general inverse for hexagonal fuzzy numbers matrix. In this matter, by changing hexagonal fuzzy numbers ea = (a, b, α1, α2, β1, β2) into parametric form ea(r) = [b2(r), b1(r), b1(r), b2(r)] it defines two center points, which are m1(ea) and m2(ea) for any hexagonal fuzzy ea. Such that the arithmetic forms of multiplication, division and invers…
This research is motivated by the government's decision to implement the Minimum Competency Assessment (AKM) as a replacement for the National Examination (UN) with the aim of preparing students for the 21st century. One of the skills measured in the Minimum Competency Assessment (AKM) is numeracy. The national education report for 2022 shows that the numeracy skills of vocational high school s…
This research was motivated by the low ability of students to solve mathematical problems and the unavailability of formative assessment instruments to measure KPMM due to teachers' lack of ability to develop instruments to train KPMM. So that students' mathematical problem solving abilities can be trained and improved, instruments are needed that can measure students' ability to solve problems…
Problem solving skills are a major part of learning mathematics. The importance of problem solving in the teaching and learning process greatly influences attitudes and approaches to dealing with mathematics problems. Problem solving skills are very important for students because by being able to solve a problem students gain experience, use the knowledge and skills that students already have t…
Kemampuan Pemecahan Masalah Matematis (KPMM) adalah kemampuan yang dimiliki oleh peserta didik dalam menyelesaikan masalah matematis melalui empat indikator: (1) memahami masalah; (2) merencanakan penyelesaian masalah; (3) melaksanakan rencana penyelesaian masalah; dan (4) memeriksa kembali hasil yang diperoleh. Penelitian ini dilatarbelakangi oleh rendahnya KPMM peserta didik kelas X Agrihan 2…
This study aims to improve the mathematical problem-solving skills of students of SMKN 1 Pekanbaru by applying the Problem Based Learning model. This type of research is class action research, with the research subjects of class XII BDP 1 students of SMKN 1 Pekanbaru totaling 35 students. This research was conducted in two cycles. Cycle I consists of two meetings and cycle II consists of three …
This research aims to produce a learning tool with a discovery learning model on function composition and inverse function content that meets valid and practical requirements to facilitate the mathematical connection abilities of F-phase students. This type of research is development research with a 4-D research design. The development that the researchers carried out consisted of four stages, …
The improvement of the learning process and the enhancement of students' mathematical problem solving ability (KPMM) through the application of the Problem Based Learning (PBL) model with a sports context is the purpose of this study. The research applied is Classroom Action Research (PTK) on 38 students of class VII.8 SMPN 8 Pekanbaru as research subjects. The learning tools used consist of AT…
This research is motivated by the importance and low mathematical reasoning skills. Mathematical reasoning skills need to be facilitated by using a supporting learning model, namely the Problem Based Learning model which is applied to a series of learning plans called teaching modules. This study aims to produce a Problem Based Learning-based teaching module on the topic of comparison to facili…
This research aims to develop a Problem-Based Learning (PBL) teaching module to facilitate students' mathematical representation abilities (KRM) in the context of linear equations and inequalities systems. Employing a Research and Development (R&D) approach, the module was created using the 4D model, encompassing the stages of define, design, develop, and disseminate. The define phase identifie…
This study aims to improve the learning process and improve student’s Mathematical Representation Ability (MRA) by applying Problem Based Learning (PBL) model.The form of this research is Classroom Action Research (CAR) with 2 cycles conducted in class X.2 SMAN 6 Pekanbaru involving 36 students in the odd semester of the 2024/2025 academic year on the subject of Linear Equation and Inequality…
This study aims to improve the quality of the implementation of the learning process and improve students' Mathematical Connection Ability (MCA) through the application of the Problem Based Learning (PBL) model. The form of this research is Classroom Action Research (CAR) with 2 cycles involving 34 students in phase D in the odd semester of the 2024/2025 academic year on the Two Variable Linear…
This project discusses the development of mixtilinear incircles and mixtilinear excircles on the extended sides of a cyclic quadrilateral. The development aims to demonstrate various relationships that arise from the radii of mixtilinear excircles and mixtilinear incircles formed by the intersections of the extended sides of the cyclic quadrilateral. It is found that mixtilinear excircles and m…
This final project discusses profit analysis for a cake producers using a integer linear programming approach using the branch-and-cut method to find integer solution while generating maximum profit. The data used is daily production data with details of the cake varians produced, raw materials used, production and operational costs and stock of raw materials provided. This problem aims to incr…
This final project discusses the solution of fractional linear programming pro- blem using the cutting-plane method, a problem whose result is the optimal integer solution. The solution to this problem firstly uses the Hasan-Acharjee method to simplify the linear fractional programming which is later converted into a linear programming. Then, the optimal solution is found by using simplex metho…
Abstract: This study is motivated by the importance of teaching modules in accordance with the ability of learners who have difficulty in learning mathematics. The target of the research is to create a teaching module model of problem based learning on the topic of data presentation. Development follows the flow in the 4D model, namely “defiine, design, develop, disseminate”. The Data obtai…
Abstract : This study aims to enhance the learning process and improve students' Mathematical Reasoning Skills (MRS) through the implementation of the Problem-Based Learning (PBL) model. The initial MRS test results for Class X-3 at SMAN 6 Pekanbaru were relatively low, with an average score of 46.07%. This was attributed to students' unfamiliarity with reasoning-based questions, insufficient u…
This final project discusses the dynamics of a fractional-order predator-prey system that incorporates three effects on the prey population: the Allee effect, fear effect, and shelter effect. The model under study has several equilibrium points, and their stability is analyzed based on various initial conditions and system parameters. Simulations are conducted to explore how these parame- ters …
This final project discusses the cubic root of square matrix of order 3 which aims to find an explicit form to determine the cubic root of square matrix of order 3, by applying the Cayley-Hamilton Theorem to the characteristic polynomial of square matrix of order 3. The explicit form is successfully obtained for matrices with trace not 0. However, for matrices with trace 0, a general formula th…