Manipulatives

# Pattern Blocks

in middle school and high school

Henri Picciotto

Pattern blocks are ubiquitous in elementary schools, but they're not commonly seen in middle school or high school. Yet, they do offer plenty of interesting curricular opportunities. (And yes, they're fun!)

Pattern blocks are featured in my book Geometry Labs, a free download on this site. In fact, they are used in the first and the last lesson in the book! Here is an index of the labs that use pattern blocks:
Angles: 1.1, 1.2, 1.4
Polygons: 3.3, 3.6
Symmetry: 5.4, 5.6
Tiling: 7.2
Measurement: 9.5, 11.8
Similarity: 10.4

Dodecagons:A classic activity is to cover a 1-inch-side dodecagon with pattern blocks. This provides a great context to discuss symmetry (see Geometry Labs 5.6.) An extension: cover the 2-inch-side big dodecagon with pattern blocks: examples, activity, and discussion.

Wallpaper Starters is a challenging puzzle-like activity which combines symmetry and tiling. The idea is to extend the given pattern, using the given mirror lines as the only guide.
If you create more pattern block wallpaper starters, I will post them here and credit you.

This presentation (PDF | Keynote) is mostly about pattern blocks, but it does include some work using the Geometry Labs template. The Keynote version features some fun animations. You can watch me making the presentation in a condensed 90-minute video version of a three-hour workshop here And here is a K-8 version of the talk: PDF | Keynote.

Pattern Block Trains is a rich activity about rate of change, which starts easy, and gets quite challenging.

If you use SmartBoards, here is a pattern block Notebook gallery item.
If you create pattern block files for Promethean or other interactive white boards, I will post them here and credit you.

NCTM has a nice online pattern block applet.