In addition to incorporating a cultural element to a mathematics classroom, Seminole Patchwork designs contain much mathematics to explore. Students can use patchwork designs to identify symmetries and can then classify the design using a classification scheme (we haved identified the patterns using the system first developed by crystallographers, see Schattschneider (1978)). Determining the most basic unit necessary to generate the design is a excellent analytical activity. The shapes found in the designs can be precisely identified and, as an algebraic or computational exercise, the areas of each shape can be determined. Describing the areas algebraically is quite a challenge if students are instructed to use the fewest possible number of variables.

 Milky Way click here to read the legend click on the design to see a larger copy Symmetries Classification translation parallel reflection perpendicular reflection (2 distinct) rotation (2 centers) pmm2 Basic Unit Shapes Areas red squares yellow squares small blue rectangles small right isosceles triangles large right isosceles triangles yellow rectangles large blue rectangles a^2 b^2 ab (1/4)(a+2b)^2 (1/2)(a+2b)^2 4c*2(a+2b) 8c*2(a+2b)

Let a be the length of a side of a red square.
Let b be the length of a side of a yellow square.
Let c be the height of the yellow rectangle.

In addition to incorporating a cultural element to a mathematics classroom, Seminole Patchwork designs contain much mathematics to explore. Students can use patchwork designs to identify symmetries and can then classify the design using a classification scheme (we haved identified the patterns using the system first developed by crystallographers, see Schattschneider (1978)). Determining the most basic unit necessary to generate the design is a excellent analytical activity. The shapes found in the designs can be precisely identified and, as an algebraic or computational exercise, the areas of each shape can be determined. Describing the areas algebraically is quite a challenge if students are instructed to use the fewest possible number of variables.

 Milky Way (variation) click here to read the legend click on the design to see a larger copy Symmetries Classification translation parallel reflection perpendicular reflection (2 distinct) rotation (2 centers) pmm2 Basic Unit Shapes Areas red squares yellow squares small blue rectangles small right isosceles triangles large right isosceles triangles yellow rectangles large blue rectangles :

In addition to incorporating a cultural element to a mathematics classroom, Seminole Patchwork designs contain much mathematics to explore. Students can use patchwork designs to identify symmetries and can then classify the design using a classification scheme (we haved identified the patterns using the system first developed by crystallographers, see Schattschneider (1978)). Determining the most basic unit necessary to generate the design is a excellent analytical activity. The shapes found in the designs can be precisely identified and, as an algebraic or computational exercise, the areas of each shape can be determined. Describing the areas algebraically is quite a challenge if students are instructed to use the fewest possible number of variables.

 Everlasting Fire click here to read the legend click on the design to see a larger copy Symmetries with respect to color Classification translation p111 Symmetries without respect to color Classification translation rotation (2 centers) p112 Basic Unit with respect to color Basic Unit without respect to color Shapes Areas parallelograms right trapezoids rectangles a^2 (3/2)a^2 25a^2

Let a be the width of a "strip" (the basic unit that is translated).

In addition to incorporating a cultural element to a mathematics classroom, Seminole Patchwork designs contain much mathematics to explore. Students can use patchwork designs to identify symmetries and can then classify the design using a classification scheme (we haved identified the patterns using the system first developed by crystallographers, see Schattschneider (1978)). Determining the most basic unit necessary to generate the design is a excellent analytical activity. The shapes found in the designs can be precisely identified and, as an algebraic or computational exercise, the areas of each shape can be determined. Describing the areas algebraically is quite a challenge if students are instructed to use the fewest possible number of variables.

 Four Crossed Logs click here to read the legend click on the design to see a larger copy Symmetries Classification translation parallel reflection perpendicular reflection (2 distinct) rotation (2 centers) pmm2 Basic Unit Shapes Areas red squares orange squares pale yellow squares brown rectangles> pale yellow pentagons pale yellow rectangles blue rectangles tan rectangles

In addition to incorporating a cultural element to a mathematics classroom, Seminole Patchwork designs contain much mathematics to explore. Students can use patchwork designs to identify symmetries and can then classify the design using a classification scheme (we haved identified the patterns using the system first developed by crystallographers, see Schattschneider (1978)). Determining the most basic unit necessary to generate the design is a excellent analytical activity. The shapes found in the designs can be precisely identified and, as an algebraic or computational exercise, the areas of each shape can be determined. Describing the areas algebraically is quite a challenge if students are instructed to use the fewest possible number of variables.

 Four Crossed Logs (variation) click here to read the legend click on the design to see a larger copy Symmetries Classification Basic Unit Shapes Areas

In addition to incorporating a cultural element to a mathematics classroom, Seminole Patchwork designs contain much mathematics to explore. Students can use patchwork designs to identify symmetries and can then classify the design using a classification scheme (we haved identified the patterns using the system first developed by crystallographers, see Schattschneider (1978)). Determining the most basic unit necessary to generate the design is a excellent analytical activity. The shapes found in the designs can be precisely identified and, as an algebraic or computational exercise, the areas of each shape can be determined. Describing the areas algebraically is quite a challenge if students are instructed to use the fewest possible number of variables.

 Alligator Tracks click here to read the legend click on the design to see a larger copy Symmetries Classification translation rotation (2 centers) Basic Unit Shapes Areas squares light green rectangles dark green rectangles right isosceles triangles right trapezoids rectangles

In addition to incorporating a cultural element to a mathematics classroom, Seminole Patchwork designs contain much mathematics to explore. Students can use patchwork designs to identify symmetries and can then classify the design using a classification scheme (we haved identified the patterns using the system first developed by crystallographers, see Schattschneider (1978)). Determining the most basic unit necessary to generate the design is a excellent analytical activity. The shapes found in the designs can be precisely identified and, as an algebraic or computational exercise, the areas of each shape can be determined. Describing the areas algebraically is quite a challenge if students are instructed to use the fewest possible number of variables.

 Snake Jaw click here to read the legend click on the design to see a larger copy Symmetries Classification translation p111 Basic Unit Shapes Areas right isosceles triangles blue parallelograms brown parallelograms right trapezoids rectangles

© 1998 Vera Preston & Mary Hannigan
Austin Community College