Free Printable Number Sequences Worksheets for Grade 4

In 4th grade, transition students from simple addition/subtraction patterns to those involving multiplication and division. A good starting point is to present two sequences that look similar, like '2, 4, 6, 8' (add 2) and '2, 4, 8, 16' (multiply by 2), and ask students to describe the difference. This helps them learn to test for both additive and multiplicative relationships.

Fourth graders should practice with a mix of arithmetic (add/subtract) and geometric (multiply/divide) sequences. Introduce input-output tables where students must determine the single-step rule. Also include problems with missing terms in the middle of a sequence, as this requires a deeper understanding of the pattern's rule.

A common mistake is incorrectly identifying the rule, especially confusing an additive pattern for a multiplicative one (or vice-versa). Students may also struggle with multi-step patterns, failing to see that a rule might involve two operations (e.g., 'multiply by 3, then subtract 1').

Following the Common Core State Standards, Grade 4 students move beyond identifying patterns to generating and analyzing them. This worksheet aligns with the expectation that students can use a given rule to generate a number or shape pattern and identify features of the pattern that were not explicit in the rule itself. This builds a more abstract understanding of mathematical relationships.

This worksheet is available as a printable PDF, perfect for independent practice, and as an interactive digital activity on Wayground. The digital format provides instant feedback to students, while the printable option is great for group work or homework. An answer key is included with both formats to make grading straightforward.

To support struggling students, start with input-output tables that have the rule stated explicitly. For an extra challenge, ask advanced students to work with sequences involving fractions or decimals, or have them create their own multi-step patterns for a partner to solve.