Program statements and constructs are the basic building blocks of any program. The document outlines common statements like input, assignment, output, and conditional control statements. Input statements like READ and INPUT accept user input and store it in a variable. Assignment statements like LET and variable = expression store the result of an expression in a variable. Output statements like PRINT and WRITE display the contents of variables. Conditional statements like IF-THEN-ENDIF only execute statements if a condition is true.