A. Patterns

1. Recognize, describe, extend, and create patterns involving whole numbers, rational numbers, and integers.
   • Descriptions using tables, verbal and symbolic rules, graphs, simple equations or expressions
   • Finite and infinite sequences
   • Generating sequences by using calculators to repeatedly apply a formula

B. Functions and Relationships

1. Graph functions, and understand and describe their general behavior.
   • Equations involving two variables

C. Modeling

1. Analyze functional relationships to explain how a change in one quantity can result in a change in another, using pictures, graphs, charts, and equations.
2. Use patterns, relations, symbolic algebra, and linear functions to model situations.
   • Using manipulatives, tables, graphs, verbal rules, algebraic expressions/equations/inequalities
   • Growth situations, such as population growth and compound interest, using recursive (e.g., NOW-NEXT) formulas (cf. science standard 5.5 and social studies standard 6.6)

D. Procedures

1. Use graphing techniques on a number line.
   • Absolute value
     
   • Arithmetic operations represented by vectors (arrows) (e.g., "-3 + 6" is "left 3, right 6")
2. Solve simple linear equations informally and graphically.
   • Multi-step, integer coefficients only (although answers may not be integers)
   • Using paper-and-pencil, calculators, graphing calculators, spreadsheets, and other technology
3. Create, evaluate, and simplify algebraic expressions involving variables.
   • Order of operations, including appropriate use of parentheses
   • Substitution of a number for a variable
4. Understand and apply the properties of operations, numbers, equations, and inequalities.
   • Additive inverse
   • Multiplicative inverse