A tangram is a Chinese puzzle made with the help of geometric shapes. Tangrams can be made by cutting colorful sheets into five triangles, a square , and a parallelogram. These seven geometry shapes can be merged to form several shapes. The seven individual tangram pieces are called tans.
When the pieces of a tangram are arranged together they display an amazing variety of forms and personify many numerical and geometric concepts. Tangram pieces are broadly used to solve puzzles. All seven pieces can be fit together to form a square. Observe the following figure that shows a seven-piece tangram. In the figure given above, the triangles with the numbers, 3 and 7 are equal and small as compared to the other triangles. Triangles with numbers 4 and 5 are large triangles and the triangle with number 2 is a medium triangle.
The piece labelled as number 1 is a parallelogram and the one with number 6 is square. As we can see all seven pieces fit together and make a big square. Like building blocks, tangrams can develop problem-solving and logical thinking skills, perceptual reasoning, visual-spatial awareness, creativity, and many mathematical concepts such as congruency, symmetry, area, geometry, and perimeter.
They help kids learn geometric terms and develop stronger problem-solving abilities. Young students have an initial tendency to work with others, and to copy one another's work. Throughout their investigations, students should be encouraged to talk about their constructions in order to clarify and extend their thinking. For example, students will develop an intuitive feel for angles as they fit corners of Tangram pieces together, and they can be encouraged to think about why some pieces will fit in a given space and others won't.
Students can begin to develop a perception of symmetry as they take turns mirroring Tangram pieces across a line placed between them on a mat and can also begin to experience pride in their joint production. Students of any age who haven't seen Tangrams before are likely to first explore shapes by building objects that look like objects—perhaps a butterfly, a rocket, a face, or a letter of the alphabet.
Students with a richer geometric background are likely to impose interesting restrictions on their constructions, choosing to make, for example, a filled-in polygon, such as a square or hexagon, or a symmetric pattern.
The use of Tangrams provides a perfect opportunity for authentic assessment. Watching students work with Tangram pieces gives you a sense of how they approach a mathematical problem. Their thinking can be "seen," in that thinking is expressed through their positioning of the Tangram pieces, and when a class breaks up into small working groups, you are able to circulate, listen, and raise questions, all the while focusing on how individuals are thinking. Having students describe their creations and share their strategies and thinking with the whole class gives you another opportunity for observational assessment.
In addition to creating shapes, younger children can work to fit Tangram pieces into shapes on puzzle cards. Children can gain familiarity with geometric figures while developing spatial reasoning abilities.
Spatial tasks may be difficult for some children, but they will improve with experience. Here are two activities for getting to know Tangrams and to begin using them to learn and understand the math that they represent. The intermediate grades can use Tangram pieces to create squares, triangles, parallelograms, rectangles, and trapezoids. Students can not only explore and create shapes, they can also learn about relationships among shapes. Tangrams help students at the middle grades develop spatial-visualization skills and introduce or reinforce geometric concepts such as congruence, similarity, symmetry, etc.
The store will not work correctly in the case when cookies are disabled. Home Tangrams. Learning About Tangrams. Activity Curriculum Strands Topics Cover and Count In this game for two players, children fit Tangram pieces on a dotted grid in an effort to cover as many dots as possible. Then they construct the whole.
They record their results on a shape chart. Geometry Spatial visualization Comparing Classifying. Main menu Search. Making Maths: Making a Tangram. In Tangram Tangle you will find one of our problems is based on a simple tangram. A tangram is a shape often a square which is split into several different pieces. These can then be fitted together to make new shapes. Did you know that tangrams were first invented in China? Here we will show you how to make a tangram. Try to be as accurate as possible when drawing the square as this will help later!
Mark the midpoint of the bottom side of your square with a small line or dot. Using your ruler, join this point to the top right corner of the square, like this: Line your ruler up with the diagonal that joins the top left and bottom right corners.
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