FTCE ELEMENTARY EDUCATION K-6 MATH/ELA/S/SS

Major operations on rational numbers - Answer-addition subtraction multiplication division Addition and Subtraction: 4 types of problems - Answer-join part-part-whole separate compare Join - Answer-involve adding or joining elements to a set. 3 quantities involved: the starting amount__?__ +56=85 the changing amount 29+__?__=85 the resulting amount 29+56=__?__ variations of the join problem include situations when the result is unknown, the change is unknown, or the starting amount is unknown. Separate - Answer-involves removing elements 3quanities/ variations result unknown->85-29=__?__ change unknown->85-__?__=29 start unknown->__?__-56=29 Part-Part_Whole - Answer-involve no action or change over time as happens with join and separate problems. Focus on the relationship between a set and its two subsets (or a whole and 2 parts) Variations involve situations the whole is unknown-> 29+56=__?__ part of the whole is unknown -> 29+__?__=85 Compare - Answer-involves no action, but involve comparision between 2 different sets- how much or how much less is one/than another. Variation: Difference unknown: 56+__=85 or 85-56=__ Larger unknown: 56+29=__ Smaller unknown: 29+__=85 or 85-29=__ Types of problems for Multiplication/Division - Answer-Equal groups or repeated addition Area and array Combination Multiplicative Comparison