Middle Level Mathematics (Grades 5–8) Subtest 1

For example:

• identifying, completing, and extending patterns presented in various forms
• using patterns to model situations and make predictions
• applying properties of numbers and operations to manipulate, simplify, and identify equivalent forms of algebraic expressions
• representing and solving problems involving arithmetic and geometric sequences and series

For example:

• identifying the characteristics of functions (e.g., domain, range)
• using functions to represent mathematical and real-world problems
• analyzing problems involving direct and indirect variation
• demonstrating knowledge of the use of technology (e.g., dynamic graphic utilities, spreadsheets) to analyze relationships between different representations of functions and inequalities

For example:

• analyzing linear equations and inequalities based on their characteristics (e.g., points, slopes, intercepts)
• translating between different representations of linear functions and inequalities (e.g., verbal descriptions, tables, graphs, equations)
• modeling and solving mathematical and real-world problems using linear equations and inequalities
• modeling and solving mathematical and real-world problems using systems of linear equations and inequalities

For example:

• analyzing nonlinear functions (e.g., quadratic, polynomial, exponential) based on their characteristics (e.g., roots, intercepts)
• translating between different representations of nonlinear functions
• solving mathematical and real-world problems using nonlinear equations
• applying the concept of the derivative to problems involving rates of change