The purpose of this study was to investigate the impact of three relationships on academic achievement in mathematics in students of poverty. The three factors that were examined included: teacher-student relationships, parent-student relationships and peer- student relationships. The driving question for the research was as follows: Do external factors such as teacher-student relationships, parent-student relationships and peer-student relationships lead to academic success for students of poverty? The study employed a non-experimental, quantitative approach and utilized longitudinal data from a national database High School Longitudinal Study (HSLS) used a sample of 944 public and private high schools across the USA. A total 0f 28,240 were represented in the survey. Of these 28,240 students, 2641 were used in this study as identified by parental income below the poverty threshold. The outcome of the study indicated that there was little or no correlation between the three relationships and mathematics achievement (academic success). Correlations between the dependent variable (math achievement) and the independent variables even though some were statistically significant their weights had no concrete significance. The study recommends that several initiatives can be instated in schools to support and enhance academic achievement in students of poverty.