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Geometric Shapes

Can You Give The Names of These Shapes?. . . . . . SQUARE. RETANGLE. PARALLELOGRAM. TRAPEZOID. RIGHTTRIANGLE. The University of Texas at Dallas. COMPARING SHAPES. The University of Texas at Dallas. HOW ARE THEY DIFFERENT?. . Squares and rectangles both have right angles. HOW ARE THE SQUARE AND RECTANGLE ALIKE?.

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Geometric Shapes

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    1. Geometric Shapes Tangram Activities

    2. Can You Give The Names of These Shapes?

    3. COMPARING SHAPES HOW ARE THEY DIFFERENT?

    4. COMPARING SHAPES HOW ARE THE RECTANGLE AND PARALLELOGRAM ALIKE?

    5. COMPARING SHAPES HOW DOES A TRAPEZOID COMPARE TO A PARALLELOGRAM?

    6. TANGRAM ACTIVIES LOOK AT THE 7 TANGRAM PIECES.

    7. TANGRAM ACTIVITIES Look at the grid of figures. You will use the tangram pieces to form the shapes at the top: triangle, square, rectangle, parallelogram, or trapezoid using 1, 2, 3, 4, 5, 6 or 7 tangram pieces. As we make the shapes, draw them in the space on the table and label the pieces used (i.e. A, B, C …)

    8. TANGRAM ACTIVITIES Going across the table, complete the table for 1 piece. Why is there an ‘X’ under rectangle and trapezoid on the table?

    9. TANGRAM ACTIVITIES Because we cannot make those shapes with any of the tangrams provided using only 1 piece.

    10. TANGRAM ACTIVITIES Using a small triangle (E or D) and the parallelogram, complete the table for 2 pieces. Do not forget to draw and label your answers.

    11. TANGRAM ACTIVITES Let students move triangles around and discover shapes they can make in any order. Ask them how they know a figure is a parallelogram, trapezoid, etc. as they find them.

    12. TANGRAM ACTIVITIES Here is one solution. Solutions with different orientations of the shapes are the same.

    13. TANGRAM ACTIVITIES Now use 3 tangram pieces to complete the table. DO YOU KNOW WHICH PIECES TO USE?

    14. TANGRAM ACTIVITIES Let students move the pieces on their own before you give the hint. Some students may not need the hint at all. Others may need it after just a few tries. As students find solutions, continue to ask how they know the figure is correct. For example: “How do you know that’s a parallelogram?”

    15. TANGRAM ACTIVITIES Ask students to demonstrate how the hint is true. This idea will help them with more complicated figures. Let students explore how the pieces can fit together. For example:

    16. TANGRAM ACTIVITIES Use the 2 small triangles (E, D) and the medium triangle C to form the shapes. All 5 shapes can be made my moving only 1 piece.

    17. TANGRAM ACTIVITIES

    18. TANGRAM ACTIVITIES Use 4 pieces to complete the table for 4 pieces. You decide which pieces are needed to make the shapes.

    19. TANGRAM ACTIVITIES Students may choose any 4 pieces to make the shapes. The 2 small triangles, the square, and the parallelogram can be used to make a parallelogram, rectangle and trapezoid. The square, parallelogram, a small triangle, and a large triangle will make a triangle. Two small triangles, the medium triangle and a large triangle can be used to make all of the shapes. The next slide will show a solution using only triangles. However there are other solutions as well using other pieces. Ask students to begin with triangle and show how the other shapes can be made by moving only 1 piece. Is there a shape that requires moving more than 1 piece?

    20. TANGRAM ACTIVITIES

    21. TANGRAM ACTIVITIES Use 3 smaller triangles, the square and the parallelogram to complete the table for 5 pieces. Use all the hints mentioned.

    22. TANGRAM ACTIVITIES

    23. TANGRAM ACTIVITIES Use 6 pieces to create a rectangle, parallelogram, and trapezoid (others shapes cannot be made). Decide which pieces you want to use.

    24. TANGRAM ACTIVITIES Use all pieces except 1 large triangle

    25. TANGRAM ACTIVITIES Ask students to begin with the parallelogram and show how to create the other shapes by moving only 1 piece.

    26. TANGRAM ACTIVITIES

    27. TANGRAM ACTIVITIES Use all 7 pieces to complete the table. DO YOU KNOW WHERE TO START?

    28. TANGRAM ACTIVITIES First make the triangle using 5 pieces. Then the 2 large triangles can be moved around the make the rest of the shapes.

    29. TANGRAM ACTIVITIES Continue to ask how they know a parallelogram is a parallelogram, etc. If students didn’t need the hint and found other solutions, have them make the triangle and show how it can be transformed to the other shapes.

    30. TANGRAM ACTIVITIES

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