Students identify, describe, generate, extend, and analyze repeating, growing, and numerical patterns involving whole-number rules such as adding, subtracting, multiplying, or dividing by a fixed number, using sequences, diagrams, number lines, and tables to find missing or later terms and infer features such as increase, repetition, alternation, or oddness and evenness. They complete and interpret input-output tables, determine and verify consistent one- or two-step rules, and evaluate whole-number expressions with addition, subtraction, multiplication, division, and parentheses while finding missing values in equivalent expressions. They represent equality as a balance and use symbols to solve one-step whole-number equations and simple one- or two-step word problems involving addition, subtraction, multiplication, and division, checking solutions with inverse operations and substitution.
On this page:
- Master skills like “Describe pattern rules”, “Extend numerical patterns”, and “Identify growing 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 “Identify repeating patterns”, “Complete input-output tables”, “Recognize equality as balance”.
- Start working on adaptive units like “Patterning - Number Patterns Intro” or “Patterning - Number Patterns Practice” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Patterns and Early Algebra: Individual Skills
Master 19 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Complete input-output tables
- Describe pattern rules
- Determine rules from input-output tables
- Evaluate expressions with addition and subtraction
- Evaluate expressions with multiplication and division
- Evaluate expressions with parentheses
- Extend numerical patterns
- Find missing values in equivalent expressions
- Generate a pattern from a rule
- Identify features not explicit in a pattern rule
- Identify growing patterns
- Identify repeating patterns
- Recognize equality as balance
- Solve one-step addition equations
- Solve one-step division equations
- Solve one-step multiplication equations
- Solve simple algebraic word problems
- Use symbols to represent unknown values
- Write equations from word problems
Practice 'Complete input-output tables'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
Hover a skill above to start practicing.
Download/Modify Free Grade 4 '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:
- Complete input-output tables
- Describe pattern rules
- Determine rules from input-output tables
- Evaluate expressions with addition and subtraction
- Evaluate expressions with multiplication and division
- Evaluate expressions with parentheses
- Extend numerical patterns
- Find missing values in equivalent expressions
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.