Illuminations: Tangram Puzzles

# Tangram Puzzles

 In this activity, students choose a picture and use all seven Tangram pieces to fill in the outline. They describe and visualize what figures look like when they are transformed through rotations, reflections, or translations, and are put together or taken apart in different ways. This activity helps students to develop their spatial memory and spatial visualization skills, to recognize and apply transformations, and to become more precise in their use of vocabulary about space. Students use an internet-based tool to explore tangram puzzles.

### Learning Objectives

 Students will: recognize and apply flips (reflections), slides (translations), and turns (rotations) use spatial memory and spatial visualization skills

### Materials

 Slide, Flip, Turn Activity Sheet (which includes a template for Tangram pieces) Tangram Puzzles E‑Example

### Questions for Students

 What happens if that parallelogram is rotated? Is the result different than if you flipped it? Make a plan before you start moving the pieces. Explain why your plan will work. Try giving your directions to your partner without pointing or showing, just by talking. Try to fill in this shape in another way. How many different ways are there to fill in this shape? I see that you used the Hint to solve the puzzle. That's fine. Now, can you do it again without using the Hint?

### Extensions

 It will be useful for students to do some related activities using physical manipulatives. For example, teams of students could use the paper tangrams to create different puzzles which they challenge other teams to solve.

### NCTM Standards and Expectations

 Geometry Pre-K-2Describe attributes and parts of two- and three-dimensional shapes Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes .

1 period

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