Hands-On Math Pentominoes: Visual Puzzles and Mathematical Explorations

Hands-On Math: Pentominoes creates a virtual math playground where students explore, investigate and discover mathematical concepts. Students use the classic 7-piece set of tangram pieces on an interactive playground to discover and explore, visual problem solving, geometry, fractions, angles, shapes, and much more.

Using Hands-On Math: Pentominoes students can develop the following important mathematical concepts:

  • Shapes and Properties
  • Logical Patterns and Sequences
  • Meaning of Fractions
  • Classifying Fiogures and Measurement
  • Creativity and Design
  • Open-ended Pentomino Playground.
  • Supports Discovery and Directed Teaching Strategies .
  • Problem Solving Activities which Can Be Solved Using Virtual Manipulatives.
  • Helps to Build an Intuitive Understanding of Geometry.
  • On/Off Options and Controls for Various Features.

Pentomino Playground

There are 12 permutations for geometric figures made up of 5 squares. The pieces collectively are known as pentominoes. In this app the pieces are provided for use on the Hands-On Math Playground. The Playground offers a snap-to grid function and pieces can be placed, moved, arranged, rotated and grouped in order to represent mathematical ideas.


  • The Properties of Geometric Shapes
  • Visual Problem Solving
  • Fractions (Shading Parts of a Whole)
  • Congruence and Similarity
  • Symmetry
  • Rotations and Translation


magic square


Students use a slider or buttons to select an activity. Here is a sample activity where the object is to move the correct pentomino pieces into the space in order to completely cover the congruent shapes.

Hands-On Math: Pentominoes is now available at the Apple iTunes Store.