tangram

NOVEMBER 14, 2023

Tangram in Math: A Fascinating Puzzle

Definition of Tangram

Tangram is a traditional Chinese puzzle consisting of seven flat geometric shapes, called tans, which are put together to form a specific shape or figure. The tans are usually made of wood or cardboard and are cut into specific proportions. The objective of the puzzle is to arrange the tans to recreate a given shape or create new shapes using all seven pieces.

History of Tangram

The exact origin of tangram is unknown, but it is believed to have originated in China during the Song Dynasty (960-1279 AD). It gained popularity during the 19th century and spread to other parts of the world. Tangram puzzles became a popular pastime in Europe and America, captivating people with their simplicity and versatility.

Grade Level for Tangram

Tangram puzzles are suitable for all grade levels, from elementary school to high school. They can be used to introduce basic geometric concepts to young children or to challenge older students with more complex shape manipulations.

Knowledge Points in Tangram

Tangram puzzles encompass various mathematical concepts, including geometry, spatial reasoning, symmetry, and problem-solving skills. By manipulating the tans, students can explore and understand geometric properties such as congruence, similarity, and area.

Types of Tangram

There are several variations of tangram puzzles, including traditional tangram sets, advanced tangram sets with additional pieces, and digital tangram puzzles available in mobile applications or online platforms. Each type offers a unique experience and challenges the solver in different ways.

Properties of Tangram

The seven tans in a tangram set have specific properties. They consist of two large triangles, one medium triangle, two small triangles, one square, and one parallelogram. The angles and sides of the tans are fixed, allowing for various combinations and arrangements.

Finding and Calculating Tangram

Tangram puzzles do not involve specific formulas or equations. Instead, they require spatial visualization and logical thinking to manipulate the tans and create desired shapes. The focus is on visualizing and arranging the pieces rather than calculating numerical values.

Applying the Tangram Formula or Equation

As mentioned earlier, tangram puzzles do not have a specific formula or equation. However, the skills developed through solving tangram puzzles can be applied to other areas of mathematics, such as geometry, where formulas and equations are used to solve problems.

Symbol or Abbreviation for Tangram

There is no specific symbol or abbreviation for tangram. It is commonly referred to as "tangram" in both written and spoken language.

Methods for Tangram

There are various methods and strategies to solve tangram puzzles. Some common approaches include starting with the largest or most distinctive shape, using the square as a reference point, or focusing on specific angles or sides. Experimentation and trial-and-error are often employed to find the correct arrangement.

Solved Examples on Tangram

  1. Example 1: Using all seven tans, create a square.
  2. Example 2: Rearrange the tans to form a parallelogram.
  3. Example 3: Combine the tans to create a symmetrical shape.

Practice Problems on Tangram

  1. Problem 1: Create a triangle using four tans.
  2. Problem 2: Form a rectangle using all seven tans.
  3. Problem 3: Construct a shape with rotational symmetry using the tangram pieces.

FAQ on Tangram

Question: What is tangram? Tangram is a traditional Chinese puzzle consisting of seven geometric shapes that can be arranged to form various shapes and figures.

In conclusion, tangram puzzles offer an engaging and educational way to explore geometric concepts and develop problem-solving skills. Whether you are a student, teacher, or puzzle enthusiast, tangram provides a captivating challenge that transcends age and cultural boundaries.