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Great post with lots of ideas for problem solving activities with 2-D shapes. Downloads included.

from Kids Activities Blog

Art & Math – inspired by Klee

We were inspired to create our project by the Castle and Sun work of Paul Klee. He fit a variety of shapes into a space to create a castle scene. We took the same principles and gave the kids a sheet of paper. They had to completely fill their page with the shapes.

Geometry - "Fill A Hexagon" This website is a Kindy website - but has many open ended 'journal entry' type Qs to download and print that would work as a 'minds on' for primary level.

Math Problem-Solving Week 7: 2-Dimensional Geometric Shapes - Kindergarten Kindergarten

Easy and fun Tangram challenges for kids (Free)

will make my own with pattern block shapes/colors for use with actual pattern blocks!

Free "build a shape" center cards using pattern blocks!

from teachingwithamountainview.com

First Day of School Activities for Big Kids

Teaching With a Mountain View: First Day of School Activities for Big Kids

from Teachers Pay Teachers

Problem Solving Activities for Pattern Blocks K-2

Honeycomb Beat Game - Use the pattern block spinner and cover the board using the shapes you spin - First person to cover board wins. Part of the Problem Solving Activities for Pattern Blocks K-2 packet.

3-D Shapes! Cut and paste the shape to match! TONS of great printables!