Students identify, extend, and compare numerical and arithmetic patterns in lists and tables, including whole-number patterns and familiar decimal sequences generated by repeated addition, subtraction, multiplication, or division, and represent corresponding pairs on coordinate grids to predict missing or later values and explain term-to-term or input-based rules. Students generate and complete input-output tables, distinguish inputs from outputs, and infer or apply numerical rules involving a fixed operation or two straightforward operations. Students evaluate grouped numerical expressions with parentheses using whole-number addition, subtraction, multiplication, and division, applying grouping and multiplication or division before addition or subtraction, and use variables to represent unknowns in solving and checking one-step equations and contextual problems with appropriate units.
On this page:
- Master skills like “Describe pattern rules”, “Extend arithmetic patterns”, and “Identify numerical patterns” with unlimited, free practice problems
- Download (or modify) free worksheets on Patterns and Early Algebra you can use at home or in class with practice problems across all skills in this group including “Generate input-output tables”, “Solve simple one-step equations”, “Solve simple algebraic word problems”.
- Start working on adaptive units like “Algebra Basic Concepts - Practice” or “Order of Operations - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Patterns and Early Algebra: Individual Skills
Master 8 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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Practice 'Describe pattern rules'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 5 'Patterns and Early Algebra' Worksheet
Print this free 'Patterns and Early Algebra' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Describe pattern rules
- Evaluate numerical expressions with parentheses
- Extend arithmetic patterns
- Generate input-output tables
- Identify numerical patterns
- Solve simple algebraic word problems
- Solve simple one-step equations
- Use variables to represent unknown quantities
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Patterns and Early Algebra) through scaffolded problems that grow in difficulty as concepts are understood.