Penelitian ini dilatarbelakangi oleh kemampuan pemecahan masalah matematis (KPMM) peserta didik yang rendah dan keterbatasan perangkat pembelajaran berupa modul ajar sebagai pendukung implementasi kurikulum merdeka. KPMM yang rendah dapat diperbaiki melalui perbaikan pada proses pembelajaran. Salah satu model pembelajaran yang menunjang kreativitas peserta didik dan memfasilitasi KPMM peserta d…
This research was motivated by the low statistical literacy skills of students in class VIII.3 SMP Negeri 42 Pekanbaru which was caused by the teacher-centered learning process. One way that can be used to overcome this is by applying the Problem Based Learning model. This type of research is a classroom action research consisting of two cycles. Each cycle includes planning, implementation, obs…
This research was motivated by the low mathematics learning outcomes of grade VIII MTs Hayatul Islamiyah Pangean students caused by the teacher-centered learning process. One way that can be used to overcome this is by applying the Problem Based Learning model. This type of research is class action research consisting of two cycles. Each cycle includes planning, execution, observation, and refl…
This research aims to produce a valid and practical mathematics module on number pattern materials to facilitate mathematical reasoning abilities. This research uses 4D development model which includes define, design, develop, and disseminate. The subject in this research were junior high school 8th grade students. The forms of data in this research are qualitative and quantitative. Qualitative…
This research was motivated by the low learning outcomes of students in the eleventh grade at IT High School Al-Fityah Pekanbaru. This research was a classroom action research using the Problem Based Learning (PBL) model to improve mathematical learning outcomes and learning processes. It consists of two cycles of action that pass through four stages: planning, implementation, observation, and …
The low ability to solve students' mathematical problems in the Flat-Side Building material is due to the limited learning tools used in mathematics learning according to students' needs. This research aims to produce mathematics learning tools in the form of a syllabus, lesson plans and worksheet using the Problem Based Learning model in the Flat-Side Space Building material for class VIII SMP…
This final project discusses the solution of fractional linear programming using dynamic programming forward methods. The solution to this problem is to find the optimal solution of the fractional linear programing by changing the fractional objective function to an approximation function using the simplified method, followed by using the simplex method until the optimal solution is obtained. T…
Global climate change can lead to extreme weather events that often lead to losses. One of these extreme weather events is the storm rainfall. Therefore, it is necessary to model rainfall that can describe the characteristics of rainfall data as well as predict the same extreme events in the future. The research involves the modeling of storm rainfall, with data obtained using storm analysis…
Abstract This research aims to develop instructional materials for teaching statistics using a contextual teaching and learning strategy. The goal is to enhance the mathematical connection abilities of eighth-grade junior high school students. The materials are designed to meet the criteria of validity and practicality. The present study involves the development of a 4-D model, encompassing th…
This final project discusses a three-step iteration method obtained from the third-order Homeier’s method by adding a Newton’s method as the third step and approximating the derivative in last step of iteration by using linear interpo- lation. Convergence analysis shows that the resulting method has a convergence order of six with an efficiency index of 1.5651. Computational tests conclude …
This final project discusses the second derivative free optimal iteration method to solve nonlinear equations obtained by approximating the second derivative of the Noor-Noor-Momani method using quadratic and cubic polynomials. Ana- lytically, this iteration method has a convergence order of four and an efficiency index of 1.5874. The computational test shows that the resulting method can be us…
This final project discuss a development of mixtilinear incircle and excircle in bisectors of triangle. The development is carried out demonstrates the relation that forms between the radii of mixtilinear incircles and excircles that can be constructed on the angle bisectors of ABC. Then points are constructed D on side BC so that AD = d divides ∠A equally, in each triangle, three different m…
A new approach is presented in this final project with the purpose of calculating the square roots of a quadratic matrix order 3. In this final project, the Cayley- Hamilton Theorem is applied to the characteristic polynomial of the square roots of a quadratic matrix order 3. In addition, this final project is also aims to determine the explicit formula of each square roots of a quadratic matri…
This final project discusses the dynamics of the predator-prey model with prey refuge and considers the effect of fear. The observed model has four equilibrium points where two points are unstable and other points are stable under certain conditions. Simulation of the model is carried out with spesific parameters to describe the behavior and stability of the equilibrium points. Based on results…
This final project discusses a new family of optimal fourth-order iterative method to solve a nonlinear equation. Analytically using the Taylor expansion and geometric series that the iterative method has a convergence order of four and efficiency index is 1.587. Comparisons of computational tests shows that a new family of optimal fourth-order iterative methods can be used as an alternative in…