This nal project discusses the stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia. In this model there are two equilibrium points, free disease equilibrium point and endemic equilibri- um point. Numerical simulation models use data on the number of COVID-19 cases in Indonesia. Then the simulation result provide a prediction picture of the n…
This study aims to produce mathematics learning tools in the form of a syllabus, lesson plans (RPP), and student worksheets (LKPD) based on a problem-based learning model on statistical material for class VIII junior high school students. This study uses a 4-D development model which includes four stages, namely: (1) define (define); (2) design (planning); (3) develop (development); and (4)…
This research is to produce mathematics learning tools in the form of syllabus, lesson plans (RPP), and student worksheets (LKPD) based on the problem-based learning model of social arithmetic material for seventh grade students of junior high school. This study uses a 4-D development model which includes four stages, namely: (1) define (define); (2) design (planning); (3) develop (development)…
This final project studies a predator-prey diffusion model with a Holling type II response function consisting of two different populations without limiting the growth of the prey population. In this model, two equilibrium points are obtained, neither of which is stable based on the eigenvalues. Furthermore, the stability of the model is analyzed by looking at the graph of the predator-prey…
The background of this research is because of the low Mathematical Communication Ability (KKM) of students. This study aims to produce a valid and practical mathematics learning tool to facilitate students' KKM on the material of linear equations and inequalities of one variable class VII SMP/MTs Pekanbaru. This learning device development research is a development research that uses the ADDIE…
This research is motivated by the weakness of teachers in compiling learning tools such as syllabus and Learning Implementation Plans in accordance with the 2013 curriculum. The learning process in the 2013 curriculum is student-centered learning, students are expected to be active in learning activities. One of the learning resources needed by students in learning activities is the Student Wor…
This research is motivated by the difficulty of teachers in compiling learning tools based on the 2013 curriculum reference, the lack of understanding of teachers in 2013 learning, even though teachers have attended 2013 curriculum training but have not been able to facilitate teachers in compiling the recommended tools in the 2013 curriculum. Based on the analysis of learning tools (syllabus, …
This research is motivated by the importance of developing learning tools that can facilitate students' mathematical reasoning abilities. However, in reality there are still teachers who have not made learning tools because of difficulties in compiling learning tools according to the 2013 curriculum reference. Lesson plans does not meet the requirements of a good student worksheet. Weaknesses t…
This research is motivated by mathematical problem is not optimal in solving ability of students because the lack of availability of learning tools that practice students' mathematical problem solving abilities, especially Student Worksheets (LKPD). Teachers have difficulty in compiling learning tools based on the 2013 curriculum reference because the teachers had lack of understanding of the 2…
The background of the problem in this study is related to the mathematics teaching materials used in schools and the low mathematical representation ability of students. The use of teaching materials is very important in a learning process. Teaching materials are all materials or materials that are systematically arranged and provide direction in achieving the desired learning objectives. There…
This research is motivated by the low ability of students to understand mathematical concepts and limited learning tools. Based on the results of interviews and analysis conducted by researchers, information was obtained that the learning tools used by teachers in schools did not refer to and were not in line with the demands of the 2013 curriculum. In this regard, this study aims to produce ma…
This research is motivated by the low mathematical problem solving ability of students. Based on the results of interviews, observations and tests of mathematical problem solving skills conducted by researchers, information was obtained that the learning tools used by teachers in schools did not refer to and were in accordance with the demands of the 2013 curriculum. So that students' mathemati…
The background of this research is because of the low Mathematical Communication Ability (KKM) of students. This study aims to produce a valid and practical mathematics learning tool to facilitate students' KKM on the material of linear equations and inequalities of one variable class VII SMP/MTs Pekanbaru. This learning device development research is a development research that uses the ADDIE…
This research is conducted due to the low Mathematical Problem Solving Ability (KPMM) of students and the limited learning devices that didn’t fulfill the demands of the 2013 Curriculum. Based on the analysis and interview conducted by the researcher, it was found out that the learning kits used by the teachers at school was not referred to and in accordance with 2013 Curriculum. In this rega…
The planning carried out by the teacher is compiling learning tools. Learning devices that are arranged are learning tools that can make the learning process run well. Teachers must provide opportunities for students to play an active and creative role in exploring abilities in each learning process, in order to create a good learning process. One alternative that can be used by educators to su…
In general, a lot of discussion on the line discusses the symmedian point. This thesis discusses the reflection of trimedian and trisector. The discussion is about the side lengths of the symmedian and the area of the symmedian of triangle. The proof is done using a very simple method, namely by using the concept of the height line on the triangle and the trigonometric concepts of the trian…
This thesis discusses the comparison of the area of the symmedian triangle with the original triangle. This thesis also discusses determining the area of the median triangle and the area of the bisector triangle. Calculation of the area of a symmedian triangle and bisector triangle using trigonometry. Calculation of the area of a median triangle using Varignon theorem. Furthermore, compare…
This thesis discusses the modification Varignon Theorem on quadrilaterals with dividing the sides of the quadrilaterals into thirds, four and five parts and determining general formula if the side of the quadrilaterals is divided into n parts. The proving process is done in a very simple way, namely by using the similarity between two triangels, ratio and the sequence of numbers.The result …
This research aims to produce mathematics learning tools in the form of syllabus, lesson plans (RPP), and student worksheets (LKPD) based on learning models based on the problem of building flat side spaces for 8th grade students of junior high school. This research uses a 4-D development model which includes four stages, namely: (1) define (defining); (2) design (planning); (3) develop (d…
This research is to produce mathematics learning tools in the form of syllabus, lesson plans (RPP), and student worksheets (LKPD) based on the problem-based learning model of social arithmetic material for seventh grade students of junior high school. This study uses a 4-D development model which includes four stages, namely: (1) define (define); (2) design (planning); (3) develop (development)…