Free Printable Growing Patterns Worksheets for Year 5

Show a sequence and have students identify both the operation and the amount of change between terms. Then ask them to express the rule clearly, test it against every term, and use it to predict a later value. Mix numerical sequences with geometric patterns so students connect calculations to visual growth.

Effective practice includes finding missing terms, comparing two patterns, writing the rule, and predicting later terms. Students should also work with sequences based on addition, multiplication, and geometric changes rather than only simple repeating patterns.

Students may choose a rule that fits only the first two terms, confuse additive and multiplicative growth, or calculate a future term from the wrong starting value. Have them test the proposed rule across at least three consecutive transitions and explain one transition aloud.

The worksheets are available as printable PDFs and in digital formats, so the same practice can be assigned on paper or hosted as a digital quiz on Wayground. Every worksheet has a complete answer key; teachers using paper can also scan or capture submissions for grading in the Wayground for Teachers app.

This work extends Common Core's emphasis on generating and analyzing patterns from given rules. Grade 5 students can move from extending a single sequence to comparing two related patterns and explaining how their corresponding terms are connected, which prepares them for coordinate relationships and algebraic functions.

Use extended time for students who need longer to calculate and compare changes, and reduce answer choices when several similar rules create cognitive overload. Worksheet versions with wider spacing can also make multi-step sequences easier to track. Keep the pattern unchanged so students practice the same core relationship as their classmates.

Growing patterns appear across elementary mathematics. In Grade 5, practice typically moves beyond simple extension to analyzing additive, multiplicative, and geometric relationships and explaining the rule that produces the sequence.