# Middle Level Mathematics (Grades 5–8) Subtest 1

## Subarea II. Patterns, Relations, and Functions

0004
Recognize, describe, and generalize patterns.

- identifying and extending a variety of patterns
- recognizing an algebraic expression that describes the terms in a sequence of numbers and using it to predict other terms
- applying properties of numbers and operations to algebraic expressions
- solving problems involving arithmetic and geometric sequences and series

0005
Understand the properties and representations of functions.

- identifying the characteristics of functions
- identifying equivalent forms of algebraic expressions
- translating among different representations (e.g., tables, equations, graphs) of functions
- demonstrating knowledge of the use of technology (e.g., spreadsheets) to represent and solve problems
- recognizing an algebraic expression that represents mathematical and real-world problems
- analyzing problems involving direct and indirect variation

0006
Analyze linear functions and inequalities and their applications.

- analyzing linear equations and inequalities based on their characteristics (e.g., points, slope, intercepts)
- translating between different representations of linear functions and inequalities
- modeling problems using linear equations and inequalities and systems of linear equations and inequalities
- solving problems using linear equations and inequalities and systems of linear equations and inequalities

0007
Analyze nonlinear functions and their applications and the concept of the derivative.

- analyzing nonlinear equations (e.g., quadratic, polynomial, exponential) based on their characteristics
- translating between different representations of a nonlinear function
- solving problems using nonlinear equations
- applying the concept of the derivative to problems involving rates of change