Final answer:
Jackson is showing signs that may suggest a disruptive behavior disorder such as Oppositional Defiant Disorder or Conduct Disorder. These behaviors should be evaluated by a mental health professional to determine the appropriate diagnosis and intervention.
Step-by-step explanation:
Based on the behaviors described, 9-year-old Jackson is exhibiting signs of difficulty in controlling his anger both at home and in school, which has been consistent over the last two years. Such behaviors may be indicative of a larger underlying issue. Given the listed symptoms of frequent, uncontrolled anger, and aggressive behavior towards peers and siblings, Jackson might be diagnosed with a disruptive behavior disorder such as Oppositional Defiant Disorder (ODD) or Conduct Disorder (CD). It is important to understand that diagnoses for mental health disorders in children should only be made by mental health professionals, who take into account a variety of factors, including the frequency, severity, and impact of the behaviors on the child's and family's life. Seeking the assistance of a psychologist or psychiatrist would be a key step in addressing Jackson's difficulties. Jackson may also benefit from interventions such as therapy, behavior management techniques, and possibly medication, depending on a comprehensive evaluation.