List of Formulas | Inveractive Anglish Programing |
Types of Story Problems | Examples of Story Problems |
Class II | gross pay |
Class I contains all of the problems with the basic rate formulas of the form a X b = c For example: rate X time = distance rate X time = wage rate X value = tax Occasionally, multiplication may be replaced by division. As in portion / whole = fraction and the equation may be more complex as in rate1 X time1 + rate2 X time2 = wage Some problems will have auxiliary formula's with addition or subtraction as the operator as in numberapples + numberpears = numberfruitA sample of the Class I problems from simple to complex follows:
total = number right + number wrong. Or they are known in a very general form: the total is equal to the sum of the parts.Many Class I problems consists of single equations that can be solved directly from the values given in the problem. Others consists of problems that have two or more simple algebraic expressions. The solution of one expressions determines a value needed for the solution of the second expression. The second expression produces the answer. Problems in this class contain statements which have a fact in common. However, the common fact is not specified and must be calculated. For example:
John missed 5 problems on his math quiz. If there were 25 problems total, what was his per cent correct?The problem asks for the percent correct, but the number of missed problems and the total number of problems is given. Therefore the formula
total = number correct + number missed. must be solved for number correct = total - number missed.first. This formula is then used to calculate the number correct which is used in a second formula to calculate the per cent correct.
(number correct / total) X 100 = per cent correct.Some problems use the same equation for both expressions. The first use is to calculate a value needed for the second use.
Class II problems use relational equations.