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Three Little Pigs, Three Blind Mice, and Tangrams: Exploring Geometric Relationships

National Standard: GeometryAnalyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.Specify locations and describe spatial relationships using coordinate geometry and other representational systemsApp

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Three Little Pigs, Three Blind Mice, and Tangrams: Exploring Geometric Relationships

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    1. Three Little Pigs, Three Blind Mice, and Tangrams: Exploring Geometric Relationships David S. Allen, Ed.D. Assistant Professor, KSU Melisa J. Hancock, Teacher in Residence, KSU Emily R. Finney Teacher, Somewhere in CA

    8. The Tangram Lesson Available on Website (Written for fourth grade) Uses the 5E-Inquiry Model Applicable to all grades (you must determine where your students are and what types of experiences they are ready for) 2. Goals and Objectives Given a set of tan pieces TLW identify linear relationships between the pieces using correct geometric vocabulary with no errors. Given a set of tangram puzzles TLW identify the correct transformations acted upon each tan piece as the pieces are shifted during the puzzle completion with no errors. Given a sheet of graph paper with a shape drawn upon it TLW draw the shape in a second location after the shape has been acted upon by two geometric transformations.

    10. Using the three small pieces (two small triangles and the medium size triangle) create these five basic geometric shapes. Square Trapezoid Parallelogram Rectangle Triangle

    16. Linear Relationships The hypotenuse of the small triangle is congruent to the leg of the medium size triangle. The hypotenuse of the medium sized triangle is congruent to twice the length of the leg of the small triangle. The two small triangles are congruent because: The legs of both triangles are congruent. The hypotenuse of both triangles are congruent. The angles of both triangles are congruent.

    18. Using the five small pieces (two small triangles, medium size triangle, rhombus, parallelogram) create these five basic geometric shapes. Square Trapezoid Parallelogram Rectangle Triangle

    24. Linear Relationships The leg of the small triangle is congruent to the side of the square. The leg of the small triangle is congruent to the small side of the parallelogram. Therefore the side of the square is congruent to the small side of the parallelogram. The hypotenuse of the small triangle is congruent to the long side of the parallelogram. The leg of the medium triangle is congruent to the long side of the parallelogram.

    25. Using all seven tan pieces create these five basic geometric shapes. Square Trapezoid Parallelogram Rectangle Triangle

    31. Working with Three Small Pieces Identifying Linear Relationships Examining Transformations Working with Five Small Pieces Application of Linear Relationship Identification Strengthening Language Descriptions of Transformations Working with Seven Pieces Similar Task to Three Small Pieces Introduce concept of Ratio and Proportion 4. Examining Area is Another Lesson

    33. Three Little Pigs, Three Blind Mice, and Tangrams: Exploring Geometric Relationships David S. Allen, Ed.D. Assistant Professor, KSU Melisa J. Hancock, Teacher in Residence, KSU Emily Finney Teacher, Somewhere in CA

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