Free Printable Shape Patterns Worksheets for Year 3

In 3rd grade, the focus shifts from simply extending patterns to describing the underlying rule. Students work with more complex sequences, including growing patterns, shrinking patterns, and patterns involving rotation or other geometric transformations. They are expected to articulate the rule in words (e.g., 'add one square and one triangle each time').

Present a growing pattern and ask students to describe what is changing between each step. Use a t-chart to help them organize their observations, with one column for the step number (1, 2, 3...) and another for the number of shapes. This helps them see the numerical relationship and predict future terms.

A common mistake is for students to successfully extend a growing pattern visually without being able to articulate the rule that governs it. They can 'see' what comes next but struggle to translate that into a verbal or numerical description, which is the key skill at this grade level.

According to frameworks like the Common Core, analyzing growing patterns is a critical pre-algebraic skill. When students identify a rule (e.g., 'multiply the step number by 3'), they are describing a function. This work builds a conceptual foundation for understanding variables, input/output tables, and linear equations in later grades.

This worksheet can be used as a printable PDF for independent practice or group work, allowing students to draw and write out their reasoning. It can also be assigned as a digital quiz on Wayground, which grades automatically. A complete answer key is included for teacher reference.

For students needing support, use a version of the worksheet that focuses only on repeating patterns before introducing growing patterns. For advanced students, challenge them to create their own growing pattern, write down the rule, and trade with a partner to solve.