Chapter 3.3

Describing Patterns with Tables and Solving Variables

Unlock the power of mathematical patterns! Learn to use tables for pattern description, master variable solving techniques, and apply these skills to real-world problems. Boost your math confidence today.

What You'll Learn

Identify patterns in sequences and function tables using input-output relationships
Apply function machines to understand how rules transform inputs into outputs
Write formulas using variables to express patterns and relationships
Solve for missing inputs or outputs in function tables using one-step and two-step rules
Determine multipliers and constants by analyzing changes in consecutive and non-consecutive inputs

What You'll Practice

1

Completing function tables by applying one-step and two-step rules

2

Writing formulas in the form y = mx + b for given input-output pairs

3

Solving backwards for unknown inputs when outputs are provided

4

Identifying patterns by comparing changes in inputs and outputs

Why This Matters

Understanding function tables and pattern rules builds the foundation for algebra and helps you predict relationships in real-world data. These skills are essential for solving equations, graphing functions, and modeling situations in science, economics, and everyday problem-solving.

This Unit Includes

22 Video lessons
Practice exercises
Learning resources

Skills

Function Tables
Input-Output Relationships
Variables
Patterns
Formulas
Two-Step Rules
Algebra Foundations
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