By the end of grade four, students will:
F.4.1 Use letters, boxes, or other symbols to stand for any number, measured quantity, or object in simple situations (e.g., N + 0 = N is true for any number)
F.4.2 Use the vocabulary, symbols, and notation of algebra accurately (e.g., correct use of the symbol "="; effective use of the associative property of multiplication)
F.4.3 Work with simple linear patterns and relationships in a variety of ways, including
- recognizing and extending number patterns
- describing them verbally
- representing them with pictures, tables, charts, graphs
- recognizing that different models* can represent the same pattern or relationship
- using them to describe real-world phenomena
F.4.4 Recognize variability in simple functional* relationships by describing how a change in one quantity can produce a change in another (e.g., number of bicycles and the total number of wheels)
F.4.5 Use simple equations and inequalities in a variety of ways, including
- using them to represent problem situations
- solving them by different methods (e.g., use of manipulatives, guess and check strategies, recall of number facts)
- recording and describing solution strategies
F.4.6 Recognize and use generalized properties and relationships of arithmetic (e.g., commutativity* of addition, inverse relationship of multiplication and division)
*See Glossary.