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The study aims to determine the positive and significant effect of the Contextual Teaching and Learning learning model on the motivation to learn PAK and Budi Pekerti of class XI SMA Negeri 2 Sibolga in the 2023/2024 Learning Year. The research hypothesis is that there is a positive and significant influence between the Contextual Teaching and Learning learning model on the motivation to learn PAK and Budi Pekerti of class XI SMA Negeri 2 Sibolga in the 2023/2024 Learning Year. Descriptive and inferential quantitative research methods. The population of all grade XI students of SMA Negeri 2 Sibolga in the 2023/2024 academic year who are Protestant Christians totaling 106 people. Random sampling is 32% of the total population, namely 34 people. The research instrument is a closed questionnaire. The results of the analysis requirements obtained the value of rxy= 0.573> rtable = 0.339 andtcount=3.955> ttable = 2.042 indicate a positive and significant relationship between the Contextual Teaching and Learning learning model with PAK and Budi Pekerti learning motivation of class XI students of SMA Negeri 2 Sibolga in the 2023/2024 Learning Year. The results of regression analysis obtained: a) regression equation. b) Determination test obtained the amount of influence, namely (r2) x100% = 32.83%. c) Hypothesis testing obtained Fhitung= 15.624> Ftabel= 3.32 then H0 is rejected andHa is accepted. The study concluded that the Contextual Teaching and Learning learning model applied by PAK teachers seriously in the teaching and learning process can increase the motivation to learn PAK and Budi Pekerti of class XI SMA Negeri 2 Sibolga in the 2023/2024 Learning Year.

This research aims to describe and analyze the mathematical problem solving abilities of class VIII students at SMP Negeri 5 Pematangsiantar on two-variable linear equation systems material, with treatment in the form of a Contextual Teaching And Learning (CTL) learning model. The approach taken in this research is a quantitative approach. Sampling was carried out using a simple random sampling technique. The research subjects were class VIII-6, totaling 30 people. The data collection technique in this research is in the form of a test to determine students' mathematical problem solving abilities in the research process carried out. Data analysis techniques were carried out using normality tests and hypothesis tests. From the results of data analysis, the results of students' mathematical problem solving abilities showed that the average pre-test score was 54336 and the average post-test score = 79,400. A significant value (2-tailed) 0.000 < 0.05 indicates that there is a significant difference between the initial and final variables. Thus, the independent variable has a significant effect on the dependent variable. So it can be concluded that by applying the Contextual Teaching And Learning CTL learning model) it can improve the mathematical problem solving abilities of class VIII students at SMP Negeri 5 Pematangsiantar on the material of two-variable linear equation systems.