Almost 9 million children in the United States have asthma, and it is a leading cause of hospitalizations and school absenteeism. Common asthma symptoms include wheezing, shortness of breath, chest tightness, and coughing. While there is no cure for asthma, most children who receive proper treatment are able to control symptoms and lead a normal life. Low doses of ICS are commonly prescribed to prevent symptoms and keep asthma under control. While this is usually sufficient to prevent asthma attacks, some children do not respond well to low dose ICS alone. For these children, their asthma symptoms may be more effectively controlled by either receiving a higher dose of ICS or receiving LABA or LTRA medications in combination with a low dose of ICS. Both LABA and LTRA medications are used to help control moderate to severe asthma. The purpose of this study is to compare the effectiveness of a high dose of ICS versus a low dose of ICS plus either LABA or LTRA medication at improving asthma control and reducing the severity of symptoms that occur in children with mild to moderate persistent asthma.