Tangrams, ancient Chinese puzzles in which a square is cut into seven traditional pieces (each called a tan), are arranged into patterns used to help tell the story. --- I just took out our tangrams and made the animals as we went along.
Here's a series of puzzles for skip counting. Each page has a large image, and lines to cut. Once cut, the images make puzzles. Students use the numbers on the bottom to practice skip counting by 2s, 3s, 4s, 5s, 10s, and 100s. As they put the numbers in order, they are also putting the puzzle together.