Integer Operations: From Number Lines to Rules: Number lines, counters, and patterns

This workbook builds integer skills from models that make sense. Learners start with position and distance from zero, then add with number-line moves and zero pairs, subtract by comparing and undoing, and multiply and divide using patterns and inverse checks. Every module follows the same seven steps, from a short readiness check and a worked example to independent practice, spaced review and error analysis. Contexts include temperatures, elevations and an elevator. The key at the back explains each answer, names a common error and gives a reteaching cue.

• Opposites, absolute value and comparing integers
• Addition with movement and zero-pair counters
• Subtraction as a change and as adding the opposite
• Sign rules for × and ÷ built from patterns
• Explanatory answer key with reteaching cues

For learners in grades 6–8 who can already add, subtract, multiply and divide whole numbers.