Readers ask: What Is Tangram In Mathematics?

What is called Tangram?

Invented in China approximately 200 years ago, a tangram is a two-dimensional re-arrangement puzzle created by cutting a square into seven pieces — seven geometric shapes called “tans” (Slocum et al 2003). Each tangram puzzle contains the following: 2 large right triangles.

How are tangrams used in math?

Tangrams help students at the middle grades develop spatial-visualization skills and introduce or reinforce geometric concepts such as congruence, similarity, symmetry, etc. Students use them to compute the area of polygons, or Tangrams can be used to introduce the terms “congruent” and “similar.”

How do you solve tangrams?

Tangram Rules and How to Play Tangram

  1. The pieces must all be connected.
  2. They must be flat.
  3. No pieces may overlap.
  4. The tans may also be rotated and/or flipped to form the shape.
  5. All seven tans must be used.
  6. Each completed puzzle must contain all seven tans.

What does a tangram look like?

Lesson Summary A tangram is a puzzle that has two big triangles, one medium triangle, two small triangles, one square, and one parallelogram. The aim is to fit all of the seven pieces inside of a given outline without shapes overlapping, going outside of the outline, or leaving blank space inside.

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What is Tangram activity?

It is a 2-D rearrangement puzzle which is created by cutting a square into seven individual pieces. Tangram puzzles can help children build knowledge of geometric terms and help them develop stronger problem-solving skills.

Who invented Tangram?

Tangram puzzles originated in Imperial China during the Tang Dynasty, they are thought to have travelled to Europe in the 19th century on trading ships. Tangram puzzles were popular during World War 1 and have become the most popular dissection puzzle in the world.

How many types of Tangram are there?

Number of configurations Over 6500 different tangram problems have been created from 19th century texts alone, and the current number is ever-growing.

Why do tangram pieces need to all be polygons?

TANGRAMS AS POLYGONS Since proper tangrams consist of the seven tans touching without overlapping, then YES, tangrams are polygons. Polygons, can be simple or complex. A simple polygon is an enclosed shape consisting of straight, non-intersecting lines.

How do you make a Tangram for kids?


  1. Step 1: With the pencil and ruler, follow the diagram and lay out the square of plywood.
  2. Step 2: Saw the plywood into the seven shapes shown. Sand the top, bottom and edges of each piece.
  3. Step 3: Apply the finish of your choice.
  4. Step 4: Your tangram is complete.

How many 4 sided shapes are there in a tangram?

Tangrams are an ancient Chinese Mathematical Puzzle. There are 7 pieces in a Tangram Puzzle (5 triangles and 2 quadrilaterals), and the idea is to make different shapes using ALL SEVEN PIECES. The first task is to make a set of Tangram pieces.

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How many squares are in a tangram set?

There are 32 half squares or 16 squares altogether. You can build a 4×4-square with all the 16 squares. The main problem of the ‘tangram research’ is building a square with all the 7 pieces.

Are tangrams and pattern blocks the same?

TANGRAMS are geometric puzzles that include 2 large triangles, 1 medium triangle, 2 small triangles, 1 square, and 1 parallelogram. Often these students benefit from pattern blocks and simpler activities before advancing to tangrams. PENTOMINOES are 12-piece puzzles that are scored in 1-inch sections.

Are tangrams math?

Like building blocks or Lego, Tangrams are wonderful for teaching about spatial relationships. In addition, they are a powerful tool in mathematics. Students learn geometric vocabulary and strong communicators in math concepts.

What are tangram puzzles used for?

Tangram puzzles help children to learn problem-solving skills and geometrical concepts. For this reason, it is often been used in math classrooms. The tans can be used to educate relationships on basic shapes.

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