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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